diff --git "a/data/dm_maths/full_data_1/2353_11255.jsonl" "b/data/dm_maths/full_data_1/2353_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2353_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the third biggest value? (a) -3 (b) -9\/4 (c) 1\/26 (d) 10 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32781, 65568, 98355, 131142?\n\"Answer: 32787*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 + -157. Let z be (-15)\/(-12)*(y + 1). Round z to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:59 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 159, 2, -5, 4 in decreasing order.\nAnswer: 159, 8, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34356864 divided by -35456?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-3))\/((15 + -11)\/36). Let b(q) = q**3 + 23*q**2 + 40*q - 36. What is b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2166, 4, -2 in descending order.\nAnswer: 4, -2, -2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 500479*t + 14514732 = 0.\nAnswer: -29, 500508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.79 + 0.21. Let n = 160 + -1118\/7. Which is the closest to 1? (a) n (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/168*630\/(-1800)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/(-1))\/((-6)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12814303 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185044306 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1017493260 - 0.720175.\nAnswer: -1017493260.720175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -6, -4, 3 in increasing order.\nAnswer: -6, -4, 0.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 10 = -50*z - 19*g, -2*z + g = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - 35 - ((2 - (-3 + 14)) + -44).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 3372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17592 - 17314. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -173, -111, -49, 13?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -62. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2290 + -13771\/6. Let l = o - -205\/42. Which is the closest to l? (a) -10 (b) -3\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768244 and 824?\nAnswer: 158258264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-4 + 9 - 6). Let l(i) = i + 0*i - 2*i. Let r(f) = 4*f + 2. Let q(o) = -3*o + 4. Let w be q(3). What is g*r(u) + w*l(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -11161.866.\nAnswer: -111618.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/2))\/((r\/(r\/(r*r**(-2))))\/r))**(1\/9)\/((r**(-1\/2)*r\/(r\/r**0*r)*r)\/(r\/r**(-2\/5))**19) assuming r is positive.\nAnswer: r**(1232\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*o + 182*a**2 + 82*o*p + 2*o - 2*p wrt o.\nAnswer: 2*a**2 + 82*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -55720*f - 55742. Calculate u(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3835, 2, -12502.\nAnswer: -12502, -3835, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 + 4. Let q be t(3). Let r = 32 + q. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -197.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6\/5)\/(36\/120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -99*y**4\/5 - 24729*y**3\/5 - 8800*y**2 - 25812*y\/5 - 992 = 0.\nAnswer: -248, -2\/3, -5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t. Let b(p) = -1924*p - 2. Determine y(b(k)).\nAnswer: 36556*k + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 2*g - 1. Let c be (-136)\/6 - (-10)\/15. Let l be c\/8 - 2\/8. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 94*v + 187. Calculate n(17).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -0.2 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -126. Let y = -161.92 + 166. Let k = 0.08 - y. Which is the third smallest value? (a) 1 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = -c + 17, -5*w + 33 = -5*c + 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 - 172. Let i be (-30)\/(-8)*u\/(-3). Solve 18*l = 13*l + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7 - 8 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 77, 120, 167, 218, 273?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owv when three letters picked without replacement from ttvttwwdvtovwvvvttv.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(((w**(-1)*w*w*w)\/w)\/w)))**(-35)\/(w**6\/w**(-6))*(w\/w**(5\/4))\/w**7*(w**(2\/3)\/w)**38 assuming w is positive.\nAnswer: w**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(4 + (2 + (sqrt(363)*-1)**2 - ((sqrt(363) - (sqrt(363) + 1 + 2))**2 - sqrt(363) - sqrt(363)))).\nAnswer: 528*sqrt(3) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 109*h**2 - 13*h - 1407. Calculate w(-109).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*s + 8*s - 3 = 0, 0 = s - 1. Let x be l\/5 + (-26)\/(-10). Suppose -a + 50 = -3*u, u + x*u = 3*a - 125. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-585)\/325*(2 - (-34)\/(-12)). Suppose -d*f + 15\/8*f**2 - 9\/8 + 3\/4*f**3 = 0. What is f?\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6676 by -2.\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -6 (c) -3 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*s + 1 = 0, 2*q = 7*s - 5*s + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 3\/(3\/104). Let x = w + 724\/7. Let i = 0.227 - 0.027. Is x at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54861.74400041 - 54862.074. Let o = q - -0.33. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:09 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -461 or -462?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 148, 316, 530, 778, 1048, 1328?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2372?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*g + 46, -2*y = -0*y + 2. Suppose -g = 4*b, 0 = 2*l + 3*b - 0*b - 35. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 + 2208*t**2 - 3*t + 16. Calculate q(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6199*k - 6196*k - 6259*k + 18655*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.67 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + 1.1. Let f = -1.8 - q. Sort 1\/3, 1\/5, f.\nAnswer: f, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(-3*n**2 - 2*n**2 + 3*n**2) + (-n**2 - 3 + 3)*(23 - 15 + 2)*(-1 + 1 - 4) + 13*n - 13*n + 5*n**2 to h + r*n**2 + y*n and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30346 + -5a?\nAnswer: -303a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 115*i**2 + 5*i - 8. Let g be j(-6). Let z be g\/18 + (-9)\/(-81). What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuru.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51821, -51791, -51741, -51671?\n\"Answer: 10*x**2 - 51831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*r - 1, 3*y - 2*r = y - 4. Let l be y + 2 + (3 - 6). Is (154 - 6\/l) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*u**3*w - 5*u**3 + 4031*u**2*w + 14173*u*w + 286*u - w wrt u?\nAnswer: 1014*u*w - 30*u + 8062*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - 9*a - 10. Let w(v) = -7*v**3. Let b be w(1). Let u be h(b). Solve 5*g - u*g = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((6\/2)\/(-15)). What is the second smallest value in 0.3, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257 + 363. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 88 = -40*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2155561 and 57560.7.\nAnswer: 2213121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -291? (a) -657 (b) -1 (c) -8 (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880) + (sqrt(880) - (sqrt(880) + sqrt(880)*2)))\/sqrt(5) + -2 + sqrt(11) + (sqrt(66)\/sqrt(6))**2 + sqrt(11) + -2.\nAnswer: -2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42136 + 52737?\nAnswer: 115075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = y, -2*c - 4*y + 20 = -6*c. Solve 2*h = t + 15, c + 25 = 5*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 77, -6, -130 in ascending order.\nAnswer: -130, -6, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 times 0.22?\nAnswer: 110.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = 3*b, -12*b = -16*b + 4*p - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.0563 - 2.7207. What is q rounded to 1 decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2\/5, -267\/43, -2\/7, -4\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 4*o - 2. Let s be d(-2). Suppose 3 = 2*n - 1, -s*a + 22 = 5*n. Let g(p) = p**3 - 4*p**2 - 6. Is g(a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03607 minus 0.4?\nAnswer: -0.36393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d - 30 = 30*d - 5*u, -u + 26 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -73096.9, 0, 0.2?\nAnswer: -73096.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -71*v**2 + 22*v**2 - 24*v + 20*v**2 + 2 + 27*v**2. Let s be r(-12). Solve 5*o - s*d - 29 = -3*d, -4*d = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1496)\/17)\/8 + 8\/(2 + -4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 + 5*h**5 - 3*h**5 - 20*h**2 + 16*h**5 + 20*h**2 + h**5 - 5*h**5 - 6*h**5 + (5*h**4 - 3*h**4 - h**4)*(-2*h - h + 4*h).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 146 = -4*c + 531, 4*c = 16. What is the remainder when 365 is divided by b?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**3 + 169*l**3 - 174*l**3 + 1 + 4*l + 3. Let i(d) = d + 1. Give -12*i(q) + 3*s(q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 1. Let c be 18\/15*30*2\/9. Let z(y) = 11*y - 2. Determine c*f(j) - 3*z(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*d**5 - 19*d**4 - 37379*d**3 - 5*d**2 + d - 31272804?\nAnswer: -1800*d**2 - 456*d - 224274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 22. Let f be y(7). Let i(h) = -5*h - 3. Let k be i(f). What is k rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/14 + 3*z**6\/10 - 3*z**5\/10 - z**4\/2 + 3*z**3\/2 - 3*z**2\/2 + 5*z. Factor s(j).\nAnswer: -3*(j - 1)**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 968584232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.71667ml?\nAnswer: 0.00471667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:22 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-27) - 23\/(-3). Let l(t) = -44*t**2 - 18. Let u be l(c). Let d be (1 - u\/(-14))*-7. Round d to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qklq when four letters picked without replacement from {l: 6, q: 3, k: 6, u: 4}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*s + 7. Let w be s\/(-1) + (-305982)\/37989. Let r = w + -1\/938. Find the common denominator of r and -13\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/(-6))\/((-10)\/(-2260)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692393822 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4, -273, 0.072, 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 h when three letters picked without replacement from nhrkhjjjhjh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6156 is divided by 1394?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21869, -87938, -198165, -352550, -551093, -793794, -1080653?\n\"Answer: -22079*f**2 + 168*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329459, -330088, -331135, -332600?\nAnswer: -334483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*i - 46, -11*f + 4*i = -13*f + 44. Solve -2*n + s + f = 0, 4*s + 3 + 0 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*i - 2*i - 548, -i - 3*y + 523 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 18, 38, 52, 60, 62, 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 469440 and 288.\nAnswer: 469440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -357*j + 11426. What is a(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n - 2. Give w(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 435\/(-75) + (-4)\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 1)\/(62\/(-36) + (-18)\/(-81)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 7059435 = 69627435. Round k to the nearest ten thousand.\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*45\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -4, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1156)\/170*((-184965)\/35 - 2\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 + -209. Let v be 6470\/(-25) + 2\/(-1). Let z = v + g. Find the common denominator of z and -46\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:26 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:15 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - 3*k - 1. Give j(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -58*t + 200. Let f(l) = -6*l - 1. Calculate the remainder when v(3) is divided by f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y + 4. Suppose b + 174 = 4*b. Suppose -4*t + 5*l - 122 = 0, 2*t + 0*l = 4*l - b. Let p(x) = 81*x - 33. Determine t*h(u) - 4*p(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g*i**2*p**2 + 8*g*i*j**2*p**2 + 5*g*i*j*p**3 - 12*g*p**3 + 1294*i**2*j**2*p**3 + 2*i*j**2*p**3 wrt i?\nAnswer: 8*g*p**2 + 2588*j**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 20692*v**3 - 20660*v**3 - 1 - v**2)*(-2 + 2 + v).\nAnswer: 32*v**4 - v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-1)\/(-6))\/1. Let d = -130.5 + 131. Which is the smallest value? (a) i (b) d (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 8) + 88 + -148 + -84 + -2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28797830 to the nearest 100000.\nAnswer: 28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = 5*v + 156. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 469, 736, 1257, 2116, 3397, 5184?\nAnswer: 7561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 19482772?\nAnswer: 9741386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -13, 1, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 - -213. Let q = x + -471. Let u be (1*-1)\/((-237)\/6). Put -4, u, q in decreasing order.\nAnswer: q, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 1. Suppose x - 3*x = 2*y - 2, x - 2*y = n. List the prime factors of x*11\/(165\/140).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 3, i: 1}. What is prob of sequence ss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x**4 + 108*x**3 + 220*x**2 + 36*x - 56 = 0. What is x?\nAnswer: -1, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m - 4983 = 47*m + 56*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86.64 - -7.64. Which is the second biggest value? (a) 2 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 19*t - 45. Let b be a(-15). Suppose b = 7*f - 104. What is the greatest common divisor of f and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37da6 (base 16) to base 9\nAnswer: -377733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 103*v - 1. Let o be z(-1). Let h be ((o\/(-16))\/13)\/(2\/20). Suppose -h*l - 2*l + 1470 = 0. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.4 (c) -22 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 833977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -33*d**2 + 576*d - 11323. Let i(a) = -66*a**2 + 983*a - 22647. Let n(r) = 5*g(r) - 3*i(r). Differentiate n(s) wrt s.\nAnswer: 66*s - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 0*q**5 + q**5)*(-3 + 3 - 5)*(1 + 2 - 1).\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 27 = 5*v, -9*v + 7*v - 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 less than or equal to 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t + 1. Let u(s) = s. Let i = -4053 - -4054. Give i*z(g) - 4*u(g).\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -653597 rounded to the nearest one thousand?\nAnswer: -654000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:46 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17779585?\nAnswer: 5, 31, 251, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 o when three letters picked without replacement from {z: 14, o: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20373737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174954 - 4*g + 174477 - 349431.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/5 - 2*v**4 + 21*v**3\/5 + 36*v**2\/5 - 108*v\/5.\nAnswer: v*(v - 6)*(v - 3)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + h**2 + h**3 - 2*h + 0*h**3 - h**3 + 3*h**3 + (-4*h**3 + 2*h**3 - 6*h**3)*(-1 + 4 - 2).\nAnswer: -5*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/523632 and 32\/556359?\nAnswer: 8901744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -2*p. Suppose 9 = p*b + 1. Suppose 3*g - 49 = 2*s - 0*s, -b*g + 84 = 2*s. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132404000 rounded to the nearest 100000?\nAnswer: 132400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -80 in descending order.\nAnswer: 1, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, s: 2}. Give prob of sequence iis.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2706 is divided by 156\/21 + (2 - 40\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19392916541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(((-21)\/17)\/(-21))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5671, 5065, 4475, 3907, 3367, 2861, 2395, 1975?\n\"Answer: w**3 + 2*w**2 - 619*w + 6287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:15 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-15))\/(3\/(-45)). Suppose 5*f - 44 = c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 7*l**2 - 2*l - 6. Let b be w(-7). Is (28\/6)\/(b\/36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 + 0.25. Let t = -162 + 1460\/9. Which is the smallest value? (a) 4 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/5))\/w**(-1\/8))**(-3\/13)*(w**(-3)*w**1)**(-20\/3) assuming w is positive.\nAnswer: w**(20179\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 54029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -8*c**2 - 1\/168*c**8 + 0 - 1\/6*c**3 + 1\/8*c**4 - 2\/15*c**5 - c + 0*c**6 + 0*c**7. Find the second derivative of r(g) wrt g.\nAnswer: -40*g**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtkq when four letters picked without replacement from sqqkqvkssqqtk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -4*w**6\/5 + w**3\/3 + 39*w**2 + 96*w. What is the derivative of q(r) wrt r?\nAnswer: -96*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/10, 0.3 in decreasing order.\nAnswer: 0.3, 1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 8. Let f be z(-7). Let y be (-28)\/(-15) - (-1 - -3). Let o = 7\/15 + y. Which is the closest to f? (a) o (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)\/b**(-3)*b\/b**(-6\/11)*b**(-4)*(b*b*b\/b**(-2\/5)*b*b*b)**(-42)*(b*b*b\/(b*b**2*b)*b*b*b)\/(b*b**(2\/3)*b*b) assuming b is positive.\nAnswer: b**(-8914\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 1)*(2*m - 7*m - m + (-11 + 10 - 34)*(-2*m - m + 5*m)).\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-22) - (267 + -272) - (13 - (-8540)\/77)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191 + 191.424. Let w = u + -0.324. Let x = 1 + -2. What is the third smallest value in x, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89671, -89783, -89895, -90007, -90119, -90231?\n\"Answer: -112*p - 89559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 207 = 3*d, -90 = -u - 2*d - d. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/(-33))\/(-9) + (-21234)\/(-22). Suppose -2817 + f = -4*a + w, -a = -w - 463. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*2)\/sqrt(5))\/sqrt(5) + (1*sqrt(7)*4 - 5*sqrt(28)\/sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -25, -66, -123, -196, -285?\n\"Answer: -8*x**2 - x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + l**2. Let y be s(-1). Let g be (18\/(-15))\/(6\/(-40)). Let d = 246 - 239. Solve g = y*u + 3*m, -u - 2*u - 2*m = -d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (171\/(-108))\/19*2*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741094 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 112.\nAnswer: -5\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -18583, 4, -2 in decreasing order.\nAnswer: 8, 4, -2, -4, -18583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -1\/2, 22, 4\/5, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*m - 74211*j**3 + 211029*j**2 + 2*j*m + m wrt j.\nAnswer: -6*m - 445266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1452465 > -1452466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 159 = 8*p + 47*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 15. Suppose -5*x = r, -3*p = p + x - 9. Find the first derivative of c**2 - 2*c**p - 3 - c**3 - c**2 wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14594102 is divided by 70?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2718833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3467039958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -4*l**5\/5 + l**4 + 4*l**3 - 10*l**2 + 8*l + 9. Let g(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 4)*-4 - (sqrt(7) - (sqrt(567) - sqrt(567)*4)))**2.\nAnswer: 1024*sqrt(7) + 7424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m**3 + 31*m**3 + 13*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -664*n + 2016. Calculate f(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (754 - 1295 + 1073)*(5 - 5 + 2*x**2) to m + z*x**2 + i*x and give z.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05137 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 - 1. Let s be i(0). Put -6, s, 0.5 in increasing order.\nAnswer: -6, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-361891)\/(-58) - (-1)\/(-2) - 0\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -916123793*k**3 - 719889329*k**2 wrt k?\nAnswer: -5496742758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6979904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323 - -640470?\nAnswer: 641013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/12, -4, -11 in decreasing order.\nAnswer: -1\/12, -0.1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5 + 5)*(3 - 5 - 1)*(-2 + 2 - 5)*(-2 + 1 - 1).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113421 greater than or equal to 113420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*k + 568, 2*d = 5*k + 267 + 17. Let m = -88 + d. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*z**2 - 66*l**2 - 318690*l*z + 27546185*z**2 with respect to l.\nAnswer: -2*l*z**2 - 132*l - 318690*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 20*m - 55703 = -21860. What are the prime factors of m?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/8*(-10)\/(-35). Let q = 21.3 - 21. What is the third biggest value in m, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/3 + 4288*j**4\/3 + 2306918*j**3\/3 + 9154912*j**2\/3 - 2306920*j\/3 - 9159200\/3 = 0.\nAnswer: -1070, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 2, z: 1, g: 1, i: 1, m: 1}. What is prob of sequence ibmz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -272692?\nAnswer: -272687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Suppose -6 = -3*v + 9. Suppose -v*k + 6*f - 29 = 2*f, -k - 8 = -3*f. Let q be g(k). Is q < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1575, 1578, 1583, 1590?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82513153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/441 and -16\/189?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565 - 544. Let s(n) = -n**2 + 17*n + 157. Suppose 0 = y - 2*y + 19. What is the remainder when s(c) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 21019305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 + 7 + 6 + (-11 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043924 is divided by 85.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from qqqqnqqnqtqvvq.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -1659, 7\/2, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -462, 230, 5, 10\/9 in increasing order.\nAnswer: -462, -2, 10\/9, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 2, a: 2}. What is prob of sequence akk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-15)\/50)\/((-3)\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.96 - 15.7. Let j = 27976790.2600257 - 27976794. Let h = i - j. What is h rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 + 2*z**5\/15 - z**4\/2 - 4*z**3\/3 - 27*z**2. Does 15 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19464 * 0.4\nAnswer: -7785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*(4 + (-27)\/6). What is the common denominator of (2\/q)\/((-187)\/(-68)) and 41\/(-2)*(0 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91621026?\nAnswer: 2, 3, 7, 67, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 1, -6, 1.57, -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 78 - 2280*x**2 + 8 - 29*x - 28 + 2284*x**2. Give q(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 12 = 2*z. Suppose -h - 92401 = -z*v, 55489 = 3*v + 5*h - 13806. What is v rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q - 2. Give z(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35525793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102331 (base 4) to base 9.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 106.2 (b) -2\/7 (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 30*t + 44. Suppose 5*b - 2*o - 80 = 3*o, 4*b = 3*o + 59. List the prime factors of y(b).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 893511511 - 636771511. Round u to the nearest one million.\nAnswer: 257000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.42 - -11.42. What is the second smallest value in 1\/6, -5, 5, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 85 = -22*n, -2*n + n - 2*w - 30895 + 30896 = -3*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172743, 172746, 172745, 172734, 172707, 172658?\nAnswer: 172581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t + 2 - 5*t - 9*t**2 + t**2 + 4*t**2 - 10. Let f be d(-7). Solve -2*a - 2*p = -f, -22 = 2*a - 6*a + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(153)*2)*4*2*-4 + 5)*2 + 5)**2.\nAnswer: 86784*sqrt(17) + 2519521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1187\/65 < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*s + 1244 = -2*s, 3*s = 6. What is the highest common factor of 39 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = -2*h, -2*j + 5*h = 25. Let o be j\/((-10)\/(-6))*2. Let t = 9 + o. Solve 0 = -3*a - 2*z + 17, -a - 4*z = -t*z - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(10)\/sqrt(2)*2)**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(4*((-3*sqrt(117) + -3)**2 - sqrt(117)) - 2*(0 + sqrt(117))*5).\nAnswer: 3132*sqrt(13) + 76464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 7*y - 12. Let j(b) = 3 + 200*b**2 + 3*b - 199*b**2 + 3. Determine -5*j(t) - 2*u(t).\nAnswer: t**2 - t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)\/w)**33)**(-29)*(w**(1\/3)\/w*w**(-1)*w)**38 assuming w is positive.\nAnswer: w**(3752\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -12 + -1 + 1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5136890, 5136879, 5136860, 5136833, 5136798?\nAnswer: 5136755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(396) - (sqrt(396) + 3)) - sqrt(396).\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (0 + 3\/3). Let w be ((-4)\/3 + 4\/c)\/(-1). Solve 5*n - 16 = h - w*h, -4*h = 4*n - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**7\/2520 - y**6\/720 - y**5\/12 - y**4\/12 - 4*y. Let s(g) be the third derivative of t(g). Let i = 3 + -3. What is s(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -37 (c) -2\/3 (d) -0.5 (e) 1\/590\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192338519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177513 (base 10) to base 3.\nAnswer: 100000111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2674333 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 214391701 to the power of 1\/2, to the nearest integer?\nAnswer: 14642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -71\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**7\/840 + p**6\/72 - p**5\/30 + 7*p**4\/24 + 4*p**3\/3 - 4. Let g(y) be the third derivative of w(y). Determine g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i - 2*i + (23 - 7*i - 23)*(-3 - 2 + 4).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(42\/(-20))\/(-7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = 2*z. Suppose 2*h - z - 28 = 0. Is (-4)\/(-18) + 266\/h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51556 is divided by 1467?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*u = -100, -f + 3*u + 95 = -0*f. Let h = f - 102. What is the remainder when 84 is divided by h*1\/(1\/(-1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74)\/(-3) - 16\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 2*x, 4*u + 3*x = -3 + 2. Let y be 273\/15 - u\/(-5). Solve 0 = -5*b - 2 - 3, -5*v = 2*b - y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 - 240*k + 1484 = 0. What is k?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elelllllllllllllllle. Give prob of sequence ee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -253*k**3 + k**2 + k. Let m = 1 - 2. Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-2394) - ((-4)\/(-18) + 0)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520198 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 12. Let a(n) = -5*n**2 - 35. Determine -3*a(u) - 8*k(u).\nAnswer: -u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94.6 + -99.6. Suppose -5*i = -1 - 4. Which is the nearest to i? (a) y (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 + -9)*(-17)\/(-4). Let t(a) = a + 12*a**2 + a**3 + 4*a**2 - j*a**2 + 12. Determine t(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let r be n\/6*3\/8. Is r <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 r when three letters picked without replacement from {r: 1, l: 4, z: 7, n: 2, p: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 15520?\nAnswer: -15521.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2422 + 283.\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -34. Solve h = 1 - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -32*g**2 + 12*g + 12. Let w be (-16)\/(-6) - (-26)\/6. Let p(b) be the first derivative of w - 5*b - 5\/2*b**2 + 13\/3*b**3. What is 12*p(h) + 5*v(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.057, -2\/3, 4\/137?\nAnswer: 4\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -1.8. Which is the nearest to 2\/3? (a) -5 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -123*u + 115*u. Solve u = -5*g - o, 0 = -4*g + o - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3376025353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*(-108006)\/(-235) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 575*t + 8632. Calculate j(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-329)\/(-105) + -3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + c + 1)*(36479 - 2*c - 72944 + 36564) to k*c + d + h*c**2 and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -942, -1885, -2828, -3771, -4714, -5657?\nAnswer: -6600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33469 (base 10) to base 16\nAnswer: -82bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 = 11, 4*r - 32 = -3*h. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 0 + 3 + (-11 - (-11 + 12))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/32829 and -67\/198033.\nAnswer: 6139023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 10*a + 2. Let j(o) = -8*o - 2. Let s be j(-2). Suppose 2*d - 46 = 4*g, -5*d + 4*d = -g - s. What is the tens digit of h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1164 = 2*q. Let f = 37528 - 38110. Is f at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/13 - 2752*c\/13 + 424 = 0. Calculate c.\nAnswer: -1378, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896 divided by 948.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 166 - 178 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278396*y**2 - 26*y + 139231*y**2 + 139170*y**2 - 1.\nAnswer: 5*y**2 - 26*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*r - 400 = 0, 3*r + 8 = -1. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4724, -9324, -13924?\n\"Answer: -4600*y - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27748432, 55496858, 83245284, 110993710, 138742136?\nAnswer: 166490562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 2, g: 3}. Give prob of picking 1 v and 2 g.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89773.\nAnswer: 107, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and 3.79865?\nAnswer: 3.74865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -52, -59, -66?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 694348 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -507, 17, 2 in ascending order.\nAnswer: -507, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wambayy. Give prob of picking 1 w and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-d**2 + d**2 + 2*d**4) + (-134*d - 188*d + 55*d)*(-d**3 + 2*d**3 + 0*d**3) + (-2*d**3 - d**2 + d**2)*(-d + 0 + 0).\nAnswer: -261*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 477*w - 477*w + 11 to f*w**2 + m + l*w and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 2261\/9. What is the closest to 1 in 2, s, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -10052, -4 in descending order.\nAnswer: 92, -4, -10052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p + 4 = 0. Let s be (1 - p)\/((-3)\/10). Let u = 17 + s. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**7\/280 - l**6\/120 + l**3\/3 + l. Let i(v) be the second derivative of d(v). What is the third derivative of i(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239 by 2977.\nAnswer: -239\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + 362*z + 2607. Calculate g(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 39. Let y be 2\/6 + (-219135)\/g. Round y to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9615, -19232, -28849?\n\"Answer: -9617*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 24*r + 8. Let y be s(-12). Solve -4*u = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 59*c - 118 = 665 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*k - 155 + 12 = 0, 8 = -4*k. Let n = 152 - z. Put -3, 2, n, 0 in ascending order.\nAnswer: -3, 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -90, -102, -92?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 2, k: 5, p: 1, l: 6, z: 5}. What is prob of sequence zmzm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, i: 2, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 1, q: 7}. Give prob of picking 1 p and 3 q.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 2)*((-1 + 1 - 2)*(3*y - 6 + 6) + 0*y + 2*y - y) to the form o*y + k and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2*a)\/a**5*(a\/(a\/a**1)*a)**(1\/7) assuming a is positive.\nAnswer: a**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-9)\/(-54))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -650 by 287.\nAnswer: -650\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 70 = 120 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/5)\/((-1)\/5). Suppose 3*a - h = 2*y, -5*y + 3*a = 4*a - 20. Find the first derivative of 3 - 5 + 7*o**3 + y + 16 wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 4*v**3 + 6*v**3 + 2*v**2.\nAnswer: 3*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + -17. Let m = 69 + k. Let d be (m\/(-10))\/((-3)\/(-20)). What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5680176 by -16.\nAnswer: 355011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 + -73. What is the greatest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5765397 and 344?\nAnswer: 46123176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*v + 12, -3*o - 4*v + 3 + 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 13. Let z(h) = h**3 + 8*h**2 + 7*h. Let x be z(-7). Suppose x = q + 3*q - 24. Is 8 a factor of w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - 2.07. Let c = w - -1.3. Let d = -0.27 + 0.07. Sort 2\/13, d, c in descending order.\nAnswer: 2\/13, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62900907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (120\/63 + (-8)\/14)*(-3960)\/(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-140)\/(-14) + (2 - -1) + -12. Suppose -g + 3*a + 1 = 9, 5*a = 3*g + 24. Sort 3, g, t in decreasing order.\nAnswer: 3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2362, -2382, -2408, -2434, -2454, -2462, -2452?\n\"Answer: x**3 - 9*x**2 - 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 336419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.3 (b) 4 (c) -434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095262521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:33 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5948271.\nAnswer: 3, 7, 263, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1aed4c1 - 0?\nAnswer: -1aed4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -h + 2*u, -2*h - 17*u = -14*u + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y + 2. What is the units digit of (19 + y)*(-10)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6588*r - 3*w = -6586*r + 37, 7*w = -2*r - 97 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5881*x + 5894*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/(a*a*a\/a**5))\/(a**(-1\/11)*(a*a**8\/a)\/a)*(a**(1\/4))**(-5\/6)*a**(3\/8)*a*a*a**(-4) assuming a is positive.\nAnswer: a**(-163\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1536 - -348. Calculate the common denominator of -97\/20 and (6\/144)\/((-20)\/t).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1365)\/2275)\/((-39)\/10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643785 divided by 2717?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 48. Suppose 3*t - 16 = 146. Suppose 0 = -w + 5*q + 4, -4*w + 3*q - 2*q + t = 0. What is the smallest common multiple of w and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 - 471*u + 7792 = 0.\nAnswer: -487, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/8, -0.1, -2, 1\/68, -2\/33 in decreasing order.\nAnswer: 19\/8, 1\/68, -2\/33, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 - -5.85. What is the second smallest value in 0.2, -5\/4, j, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 5 = -33. Let d be s\/48*32\/12. Which is the third biggest value? (a) 5 (b) d (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15479*z - 7741*z - 3826 - 7740*z)*(-1 + 1 - 1 + (3 + 2 - 4)*(1 + 0 - 3) + 0 + 2 - 3 - 28 + 10 + 11) as c*z + l and give l.\nAnswer: 42086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -24*l**7\/7 - 2*l**6\/3 - 137*l**3\/3 + 477. Find the third derivative of o(u) wrt u.\nAnswer: -2880*u**3 - 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585633506 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95635 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {w: 2, v: 4, k: 3, g: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 275. Let w = 185 - b. Let s = w + 90.947. Round s to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66399 smaller than -66400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from kxuousxxsxutxxuxxxxx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from yymmnnxmnnbjxbymnnnm?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1947*m - 110. Let x be n(7). Is -2 + (-8)\/(-3) + x\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16344366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a87b (base 15) to base 4.\nAnswer: 111010103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10750349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -9*h + 10. Let k(y) be the first derivative of 3*y**3 - 6*y - 8 - 3*y - 6*y + h*y. Differentiate k(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 850 + 3192 + 120*a - 108*a.\nAnswer: a**2 + 12*a + 2342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 + 1203301?\nAnswer: 1210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 13 + 37 = 0. Suppose -t = -2*d + 2. Solve -7*a - 25 = -2*a, d*a = l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(41 - 7 - 2)*((-5 + 4 - 1)*(-2 + 2 + w) + 11 - 11 - 8*w).\nAnswer: 640*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*n - 70*n - 55*n - 80*n to the form u*n + j and give u.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + -7857696893423.\nAnswer: -7857696893423.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -112, -156, -194, -226, -252?\n\"Answer: 3*d**2 - 59*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k*m + 5*k - 165190*m**3 - 160998 wrt m?\nAnswer: 3*k - 495570*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 618 = 36*t + 59*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 418, 631, 844, 1057, 1270?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*-4*4\/8*21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0*p - 3*p + 1 - 2*p**2 - 5. Let a be c(-5). Let b = a + 69. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7066*w. Let d(c) = -6946*c. Determine d(v(a)).\nAnswer: -49080436*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 10*f + 3. Let v be w(10). Suppose -n - 19 = -p, 0 = -0*p + 3*p + v*n - 27. Suppose -3*o = p - 5. Which is smaller: -3\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 4*j + 5*u + 5, 0 = 95*j + 113*j - 209*j + 4*u + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 532*m**2 - 11*m + 12. Let x(w) = -533*w**2 + 12*w - 13. Determine -11*p(t) - 10*x(t).\nAnswer: -522*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035852 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46*(286\/13)\/44.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 0*w**3 + 5*w + 0*w**2 + 3 + 1\/4*w**4. What is the first derivative of r(t) wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-7 - -7 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 514.4 + -53764173.\nAnswer: -53763658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 y when three letters picked without replacement from {d: 4, y: 1, v: 2, o: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.314 - -14.686. What is the third smallest value in 1.1, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 7. Let u be 333\/54 + (-1)\/6. Solve -5*v + 5*r - u = -1, -5*v - r - l = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:16 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r = -3*k - 34*r + 36, -30 = -2*k + 4*r. Solve 0 = k*f - 40 + 31 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/6 + l**2 - 4*l. Let k be u(0). Suppose y + 5 = 2*c - 0*c, 2*c = -k*y + 2. Let g(o) = 6*o**2 + o. Determine g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167 + 108*j**3 + 716 - 58 - 267*j**3 - 644*j**3 with respect to j.\nAnswer: -2409*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*h**3 + 190*h**3 - 343*h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16905 by -23.\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and -83\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/6 - 44*h. Let b(m) = -2*m**2 + 12*m. Give b(v(g)).\nAnswer: -8*g**4 + 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.03775*-9\nAnswer: 0.33975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2\/(-4)) + (-9)\/18. Which is smaller: d or -3\/412?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 7*q + 8*q)*(-2*q + 4*q - 5*q) - q + 2 + q - 2*q**2 + q**2 - 3*q**2 + q**2 + (-q**2 - 4*q**2 + 3*q**2)*(-3 + 0 + 1).\nAnswer: 10*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*m - 129*m - 124*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 7*a**4\/4 - 2*a**3 - 5*a**2\/2 + 5. Let t(z) = -7 + z**2 - 34*z + 35*z + 7 - z**3. Give -6*t(h) - u(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w + 3*w. Sort 3, -3, w in descending order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 14, 30, 64, 122, 210, 334?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*b = -9, 7*b - 2*b + 10 = 0. Let w be (-2 - (-2)\/(-2)) + 93\/33. What is the nearest to -2 in w, q, 2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 5 + (-1*sqrt(1008))**2.\nAnswer: 5*sqrt(7) + 1013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 23903.2 to the nearest ten.\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0934, -8, -1, 2, -5, 0.5 in increasing order.\nAnswer: -8, -5, -1, -0.0934, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v - 42*v = 0. Solve 3*a + 9 = v, 3*m = -0*a + 2*a - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 528803214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2793*r**2\/2 + 7534*r - 3331. Differentiate p(v) wrt v.\nAnswer: -2793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -70. Solve -3*h**2 - h**j - 4*h - 4 + 12*h + 0 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -302\/639 + 2\/71. Suppose 14 - 17 = -3*k. Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 14. Let r be -3 - (-9)\/(-6)*(6 + t). Let c be r - (1 + 1\/2)*-2. Let g(f) = -f**2 - 6*f + 2. Calculate g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -29*k + 80. Let c(z) = 19*z - 26*z - 3 + 0 + 11*z. Give c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*c**3 + 24 + 20 - 51*c**3 + 39 with respect to c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 3}. Give prob of sequence qoo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -113. Let n = x - -39.4. Let a = n + 5. What is a rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - f + 3. Let c be h(-1). Let z = 36 - 35.81. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -67. Let r = u + 42. What is the nearest to r in 0.1, -0.7, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8555.011 kilometers?\nAnswer: 855501100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*w + 84, -4*w + 80 = 7*r - 5*r. Let q(n) = 18*n**2 + 4*n + n + w*n**2 + 2. What are the prime factors of q(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:59 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -294.3 - 8.7. Let d = -304 - u. Suppose -5*k - l + 22 = 0, -3*k + 5*l = -0*k - 30. Which is the nearest to d? (a) -4 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14938 and 85166?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3970*g = 3964*g + 576. What is the highest common factor of g and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/5 - 5*s**4\/3 + 56*s**3\/3 + 64*s**2 - s + 119. Factor u(q).\nAnswer: -4*(q - 4)*(q + 1)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3139\/696 - -10\/87. Let y = t - 39\/8. Which is the second smallest value? (a) 1\/7 (b) y (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*c - 151 + 70*c + 27*c - 106*c + 28*c)*(0*c**3 - 6*c**3 + 2*c**3).\nAnswer: -204*c**4 + 604*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -134. Let g be 4\/48*-2 + 0. What is the closest to -0.1 in g, -1, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-6))\/(9\/(-57))*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-70))\/((-2)\/(-2)). What is the smallest value in w, 2\/3, 0.03?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-22))\/3 + ((-27916)\/(-924) - 30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3596 - 3596 - 40*u in the form x + k*u and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 3. Let j(u) = 5*u**2 + 2*u - 4. Let s(r) = 3*j(r) + 4*v(r). Let k(o) = 3*o. Calculate k(s(w)).\nAnswer: -3*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfftfhhbbrhfffth. What is prob of picking 2 b and 1 f?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + c - 135, -11*u + 14*u - 131 = -5*c. Solve 0 = 5*v + 4*z + 5, -2*z + u = -4*v + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/3 + 20*x**3 + 128*x**2 + 2*x - 71. Solve r(l) = 0 for l.\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16263714*a*g**2 - 35582*a - 38*g wrt g.\nAnswer: 32527428*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -12. Suppose 4*d - 2*d = 0, 126 = 2*b - d. What is the highest common divisor of y and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 153918 in descending order.\nAnswer: 153918, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015805246 rounded to seven dps?\nAnswer: -0.0001581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y - 47*y = x - 19, -y - 2 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225771)\/(-24810))\/(14\/(-30))?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((27\/(-18))\/(-5*(-3)\/(-20))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from zuczgyc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-80)*(-1632)\/(-4624).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11708, 23411, 35114, 46817, 58520?\nAnswer: 70223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/10)\/((-296)\/185)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -101212102?\nAnswer: -101220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1374*l**2 - 1373*l**2 - 1383*l**2 + 4127*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 15 = 0. Let s = 1597.14 - 1598.14. What is the second smallest value in c, -5, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*x + 10, 2*x + 2*c - 14 = -x. Suppose 4*o = 7*o + 5*f - 115, -3*o = -4*f - 124. Suppose -2*v + o = x*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2695 and 420?\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16699.26 times 5?\nAnswer: -83496.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43518222 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 - h - 1. Let c = -5 + 7. Let o be s(c). Let z(n) = 1566*n + 1. Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/14)*a)\/((a**(-17\/5)*a)\/a*a)*a**5*a**(-43))**(-12) assuming a is positive.\nAnswer: a**(14502\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104857*p = 104829*p. Factor p*i - 8\/5*i**2 + 0 - 2\/5*i**3.\nAnswer: -2*i**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27390826*p**2 - 3*p + 64163299?\nAnswer: -54781652*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/22533 and 37\/237307.\nAnswer: 26341077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183.05 + -179. Let t = n + -0.05. Let x = 6.4 - 6. Which is the biggest value? (a) t (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**2. Let p(x) be the third derivative of 0*x + 0*x**3 + 1\/12*x**4 + 0 + 17*x**2. Give p(b(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1147, 4134, 8973, 15664, 24207, 34602, 46849?\nAnswer: 60948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55057 is divided by 798?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:45 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490862 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2152 - 2193. Is -44 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/35)\/(z**(11\/5)\/z)*z*z*z\/(((z\/(z*z**(2\/43)*z)*z)\/z*z)\/z)*z*z\/(z\/(z\/(z*z**(8\/3))*z*z)) assuming z is positive.\nAnswer: z**(14486\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 376999.5 and -6.\nAnswer: -2261997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {l: 2, w: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52455.\nAnswer: 3, 5, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 8) to base 11.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/78)\/(15\/(1365\/(-7)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l + 1. Let s(t) = t**3 - t**2 - 6*t + 6. Give 4*j(y) - s(y).\nAnswer: -5*y**3 + y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6407 - 420.\nAnswer: -6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81975 divided by 5\nAnswer: 16395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 4*i - 130 + 130 - i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137007893 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let t(f) = -f + 4. Let v be t(3). Is v + (-27)\/(m*3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*o + 58686 - 56734 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -1 + 4. Let c = -732\/31 + 25248\/1085. Is n > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c - 14 - 13 + 15 - 6. Give p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7 + 17\/7*l**2 - 1\/7*l - 15\/7*l**3 = 0. What is l?\nAnswer: -1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-348)\/(-16))\/((-4)\/(-16)). Let b = 28 - g. Let v = 125 + b. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l. Let u(j) = 4*j. Calculate 6*b(p) - 4*u(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 6. Let y(u) be the third derivative of 1\/3*u**4 + 0 + 0*u**3 + 0*u + 250*u**2. What is y(d(t))?\nAnswer: 8*t - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -118*h. Let x be i(6). Let f be (-2)\/8 - x\/16. What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - -109. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8 - 6. Which is smaller: c or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 0*i + 18 - 20 + 2*i + 11*i. List the prime factors of p(11).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**3 + 4*z**2. Let s(m) = -m**3. Let u(n) = -k(n) + 6*s(n). What is the third derivative of u(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 121 = 20*z. Let i be ((20\/z)\/(1\/(-2)))\/(-1). Put i, -4, 2, 1 in descending order.\nAnswer: 2, 1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/44 - 2730\/462 - 62\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + d = -1 - 2, -18 = 4*j + 2*d. Let t be (12 - 15) + (-5)\/2*j. Solve -4*f + 3*i = 28, t*f - 4*i + 28 = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 6 + 4. Solve -2*k - g = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -82\/3. Let x = -0.93 - 4.07. Is o less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-3)\/6 + 7\/(-2)). Let t be ((-8)\/10)\/(2\/(-5)). Let j be (5\/t)\/(h\/4). Solve -5*c + s + j = 0, 5*c = -0*s - 3*s + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4\/3 - 40*n**3 - 172*n**2 - 400*n\/3 = 0.\nAnswer: -25, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3486.3 and -0.0128?\nAnswer: 3486.3128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r = -64*r + 13992. What is the remainder when r is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*m**4*x + 2*m**4 - 238*m**2 + 5*m*x - 11*m + 5*x wrt m?\nAnswer: 108*m**2*x + 24*m**2 - 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10 + 16 - 6 + 30840*g - 6.\nAnswer: 30840*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 84, 1653, 4, 1.\nAnswer: -4, 1, 4, 84, 1653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.095 * 0.5.\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 108 = -2*m. Let v be (m\/(-10) + 3)*-5. Solve -v*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrlz when four letters picked without replacement from {z: 1, c: 1, l: 1, r: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65587 is divided by 1367.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, -2, 9, 190?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*19481767.\nAnswer: -77927068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -174*n**2 + 234*n + 5. Let w(m) = 116*m**2 - 156*m - 3. Let u(s) = 8*w(s) + 5*y(s). Find the second derivative of u(f) wrt f.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 384*r - 398*r - 154. Sort -9, 5, r, -2.\nAnswer: r, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 2*q**2 - 2*q - 4. Let b(l) = l**3 - 2*l**2 + l + 3. Let n(i) = 4*b(i) + 3*y(i). Let f(a) = 3*a**3 - 9*a**2 - 9*a. Calculate -2*f(p) + 9*n(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 2. Let n(w) be the third derivative of w**4\/12 - w**3\/3 + 6*w**2. Calculate -3*j(k) + 4*n(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z**(1\/58)\/z))\/((z\/(z*z*z**(-34))*z*z)\/z))\/(z**(-41\/2)\/z*z**(-10\/9)))**(1\/86) assuming z is positive.\nAnswer: z**(-1933\/22446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 425*c**2 - c - 5*c - 1 + 6*c as l + r*c**2 + h*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a factor of 566238172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4725*i - 168. Calculate the remainder when o(-1) is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8\/647 (b) -2 (c) 0.3 (d) 5 (e) 2 (f) -4 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 770.4.\nAnswer: 770.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 3*q + 2. Calculate the remainder when 58 is divided by x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -13. Let y = -2 - -3\/2. Let n = 408\/5 - 82. What is the biggest value in n, y, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 21 = 6. Suppose -5*j + 15 = 5*v, -q*v = j + 3*j - 9. Determine p, given that 73*p + j*p**2 - 8 + 2*p**3 - 73*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:26 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574605?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 313 + 128 = 0. Let g = -142 - b. Solve 2*a = 6*a + 16, -g*a = -3*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 200 - (-4 + (-12)\/(-2)). Suppose 4*c - a = 486. What is the highest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917362 divided by 486227?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-13) - 6477545\/7631. Are -847 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 + 3*l**2. Let x(h) be the third derivative of -3*h**5\/10 - 130*h**2. Give x(i(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 1401\/765. Let c = p - -30\/17. Let j(f) = f**2 + 7*f + 5. Let a be j(-6). Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6359 + 7249. Calculate the smallest common multiple of 8 and g.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*i - 21, -14*d = -15*d - 5*i + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1862*r + 2472.\nAnswer: -1862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*o**3 - 1910*o**3 + 957*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 944*j - 876*j - 136. Solve 0 = -5*a - 2*p + 4, -j*a + p = 2*p - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -995*x**2 + 5*x - 18. Let m(q) = -249*q**2 + q - 4. Give -2*d(l) + 9*m(l).\nAnswer: -251*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 929, 1898, 2881, 3884, 4913, 5974, 7073?\n\"Answer: v**3 + v**2 + 959*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5150 and -1.26.\nAnswer: -6489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 20, 2, -15.\nAnswer: -15, -4, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6. Let f(p) = 11 - 4 - 4 - 4. Let u(h) = 6*f(h) + z(h). Let m(x) = 17*x**2 + 3*x + 0*x - 3*x. Give u(m(n)).\nAnswer: 289*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*p**2 - 192*p**2 + 3 + 77*p**2 - 3 + 49*p.\nAnswer: 4*p**2 + 49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (13 - -12) - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a century in months?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3153453718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51\/190 + 5\/38. Let y = 424 + -423. Which is the third smallest value? (a) j (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -81, -80, -75, -66, -53, -36?\n\"Answer: 2*r**2 - 9*r - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.3 - 1.3. Let t = -9.9 + s. Which is the smallest value? (a) 5 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-28 + 8 - 0) + 4 - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-5 + -6 - 12) - (-1 + 15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10975 is divided by 2732.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304) - 4*(-2*sqrt(304) - sqrt(304))) + -1*sqrt(304)*1 + 0)**2*-3.\nAnswer: -154128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Let f be w\/(-8) + 3\/2. Let a(g) be the first derivative of g**4\/4 + 5*g**3\/3 + 5*g**2\/2 - 1. Let j(r) = -r**2 - r. Calculate f*a(x) + 10*j(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103084, -412325, -927728, -1649293, -2577020?\nAnswer: -3710909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*r**2 - 295*r**2 + 51*r**2 in the form b*r + i*r**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -23.88\nAnswer: -2.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l + 1287 + 135 = 15 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (108\/2)\/(-6). Let v be (4 - i\/(-3)) + (-1 - 1). Put v, 5, -1, 0.4 in decreasing order.\nAnswer: 5, v, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2. Let a(n) = 36*n + 248. Determine y(a(r)).\nAnswer: 7776*r**2 + 107136*r + 369024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(4 + -4). Suppose -q = -g*q. Suppose t - 8 = -3*j, -5*t = -8*t + 3*j + 12. Solve q = -t*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a203 (base 12) to base 9.\nAnswer: -26083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243 - 121158419?\nAnswer: -121153176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4818039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195158 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1314036*i**4 + 20453256*i**3 - 11280672*i**2 + 2107768*i - 131820 = 0?\nAnswer: 13\/69, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -265?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = 2*p, -60*p + 5*i = -47*p + 57 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmkfjjhffmyhhfhh. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -48. Let n = -24 + 14. What is the tens digit of n\/5*w\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0.1 (c) -3\/13 (d) 0 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-5)\/30*1. Let r(u) = -2*u + 3*u - 3 + 2. Give r(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334 + 125 + 102 + 133)*(-4 + 3*y**3 - 4*y**3 - 1).\nAnswer: -26*y**3 - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -501?\nAnswer: -16\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 946, 927, 904, 883, 870, 871?\n\"Answer: l**3 - 8*l**2 - 2*l + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**3 - 60*i**3 + 29*i**3 + 71 - 71.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 14. Let d be l(-10). Let q(s) be the first derivative of s**4\/4 - 4*s**3\/3 + 2*s - 1. Calculate q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/126 - ((-650)\/90 + 7). Let r = -2 - -10. Which is the closest to u? (a) -0.2 (b) r (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let m(v) = 5*v - 2. Let g(c) be the first derivative of 5*c**2\/2 + 38*c - 1. Suppose 0 = 4*d + 9*d + 104. Let l be g(d). What is l*j(h) + m(h)?\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 562, 518, 470, 418, 362?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -15\/7 (c) 1 (d) 289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.232011 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from {h: 5, y: 1, l: 1, e: 3, q: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/9 + 2*v**4\/9 + 116*v**3\/9 + 632*v**2\/9 + 1280*v\/9 + 896\/9 = 0.\nAnswer: -4, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 4*r - 176, r - 3*g - 46 = 0. Calculate the remainder when r is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 81 + 15 = 0. Suppose j - i - 16 = 0. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -357.\nAnswer: 5\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-280)*(-20 - -18)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 44*c**2 - 109*c + 266. Is 58 a factor of v(-46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 2. Let d be u(-3). Let k be (-84)\/112 + (0 - 207\/(-4)). Let r = k - d. What is the greatest common divisor of r and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.13, -3, -12\/7, 2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from {s: 2, u: 1, q: 1, g: 1, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24101, 48601, 73101, 97601?\nAnswer: 122101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (-152 + 158)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbzzbsbszbz. Give prob of sequence ssb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 5*i - 377. Calculate m(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-66804)\/79992 - 10\/(-12)). Let g = -1011 + z. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/13 + 83 + -76.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -10 - 1)*66\/55. Let n be (-24)\/(-9)*u\/8. Sort -4, n, 0, 5.\nAnswer: -4, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 97. Let w be m - 0 - 0\/7. Suppose 5*q - 19 = w. What is the remainder when 34 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/18)\/(1936\/(-88)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4436887*h*s**3 - 9*s**3 - 3*s**2 - 7*s - 85 wrt h?\nAnswer: 4436887*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -18 + 6 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.2 (c) -1343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 7, 99 in decreasing order.\nAnswer: 99, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39752774 is divided by 236.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + 3.85. Let h = -2 - -2.1. Let y(f) = f**3 + 2*f**2 + f - 5. Let m be y(0). What is the nearest to -1 in r, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15923454*d**3*t**3 - 781*d**2*t**2 + 9104*t**3 wrt d?\nAnswer: -95540724*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let p = m - -5. Differentiate 0*l**p - 6 - l**2 + 4 with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 19 - 22 + 29*m**2 - 14*m**3.\nAnswer: -14*m**3 + 36*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1201.333 times 3\nAnswer: -3603.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-48) + 4 - (-2)\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24))\/(3\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y + 1296 = 5*r, y + 2*r = 650. What is the greatest common factor of y and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5) + 1086\/30. Let t = v - 35. Suppose 0*n + 10 = n. What is the lowest common multiple of n and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 39.6. Let a = -8.6 - z. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625795 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10773970, 10773984, 10774006, 10774036, 10774074, 10774120, 10774174?\nAnswer: 10774236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 46*o - 222. Give l(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 - 0.17. Let h = t + -0.141. What is h rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(-3 + sqrt(19) + 3) + 1*(sqrt(19)*-3*6 + sqrt(19) - sqrt(19)))**2.\nAnswer: 10949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78500 and 3081910?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -0.42, -4, -4\/7 in descending order.\nAnswer: 1, -0.3, -0.42, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 3, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:26 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8156818?\nAnswer: 2, 4078409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/4 + 243*n**4\/4 - 1572*n**3 + 10920*n**2 + 56448*n - 65856 = 0.\nAnswer: -4, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1430433204 (base 5) to base 10.\nAnswer: -3764804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from znznnznnnnnrzzzzz?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 15*u**2 - 12*u - 6. Calculate l(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 9. Let f be p(-12). Let j(x) be the first derivative of -5\/3*x**f - 3\/2*x**2 + 5 + 0*x. Find the second derivative of j(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 50*t**3 - 1 - 1.\nAnswer: 50*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = 3*s. Solve -s*j = -10 + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9668*h**2 - 600*h + 600*h)*(-1 - 2 + 4) in the form j + y*h + k*h**2 and give k.\nAnswer: -9668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-594))\/(61\/(-549))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1535?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 + k + 9. Let r be j(2). Let o be 4 - (3 - (-2)\/(-1)). Calculate the lowest common multiple of 4 and (-5 - -2) + (54\/o - r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 - -101112223?\nAnswer: 101113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 11. Let h be 8\/(-12) + (-44)\/6. List the prime factors of c(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1830360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 68. Let x(g) = 136*g - v*g - 60*g. Let d(q) = -2*q. Let b(s) = 3*s. Let u(p) = -4*b(p) - 5*d(p). Determine x(u(a)).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*d + 80, 2*q + 101 = 6*q - 3*d. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggngnn. Give prob of sequence nnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3528*t - 1194. What is the ten thousands digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.8, 0.2, -13 in increasing order.\nAnswer: -13, 0.2, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8*b - 4*b - 24, 3*u = -b - 1. What is the units digit of 7\/u*(-736)\/112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*k + 3646 - 201 = -1049*k - 2099 for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p**5\/4 + 10*p**4 - 43*p**3\/4 - 6*p**2 + 13*p - 4 = 0. What is p?\nAnswer: -1, 4\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 35989, 0.6, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10252 (base 6) to base 4\nAnswer: -111320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 1\/50*s**6 - 3\/20*s**4 - 6*s - 3\/5*s**2 - 3\/100*s**5 + 0 + 1\/2*s**3. Determine q, given that b(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 3:42 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:04 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:25 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 - 7*o**2 + 6*o + 6. Let s(k) = -8*k**3 - 6*k**2 + 7*k + 7. Let z(c) = -7*p(c) + 6*s(c). Let q be z(-13). Solve q*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 194*k + 52946. Calculate c(-270).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 169*l**2 + 1 - 158*l**2 + 321*l**2 + 19*l - 2. What is p(4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126994 * -8.\nAnswer: -1015952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*i + 37, 0 = -3*x - 2*i + 10 - 1. Suppose -2*j - x*j = -21. Calculate the remainder when 5 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-22)\/(-10))*-5. Let y = 3 - 2. Let u = y + n. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-210)*(-8239)\/1177\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6458, 6669, 6882, 7091, 7290, 7473, 7634?\nAnswer: 7767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19659055*p**2 - 641*p + 10777 wrt p.\nAnswer: 39318110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74774 and 696633?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61108334887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/4, -34, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 + 0 + 1). Let k(p) = p**2 - 9*p. Let d(a) = -a**3 + 4*a**2 - a + 3. Let w be d(3). Let u be k(w). Put u, -3, x in ascending order.\nAnswer: -3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/4)\/l**(-24)*(l**(1\/4))**(2\/29) assuming l is positive.\nAnswer: l**(2699\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7108 and 24878.\nAnswer: 49756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2 - (-1 - 1). Suppose 2*p + 4*t + 25 = -t, -20 = k*t. Suppose -5*s = -4*a + 6 + 7, 2*s - 2*a + 6 = p. Is -2 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 47 - 19 = 0. Let f be l*6*4\/(-3). Suppose -4*i - f = -4*p, 0 = -3*p + 2*i - 1 + 69. Calculate the highest common factor of 96 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2262 (b) 0.2 (c) -0.4 (d) -2 (e) 5 (f) -2\/49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**7\/504 + q**6\/144 - q**5\/12 + 17*q**4\/24 - 3*q**2. Let z(b) be the second derivative of c(b). Factor z(x).\nAnswer: 5*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/7 + 84687*p**3\/7 + 254040*p**2\/7 + 169356*p\/7 = 0 for p.\nAnswer: -28226, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4673, -9397, -14115, -18821, -23509, -28173, -32807?\nAnswer: -37405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1 - (-9999992)\/2. Suppose i - 5*b - 4999991 = -2*b, i - 2*b - s = 0. Round i to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7423*m - 7291*m = 4752 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*x - 24, n + x + 10 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuuuvuvvvvvuyfvvvu. Give prob of picking 2 v.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 + -25 - 8 - -10*(1 - 0). Solve 25 = -5*s + 5*a, 4*s + a = f*a - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1034.9 * 177\nAnswer: 183177.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23300 - 13476. List the prime factors of u.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(16\/(-10) - -1). Let b be 0*q\/(-6)*-1. Solve b = -3*s + 3*z - 9, 2*z - 11 = 3*s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24013 = -853*y - 3283 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8865807?\nAnswer: 3, 2955269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*r - 4*t + 35, -5*t - 82 = -2*r. Find the second derivative of 18*f**2 + 12*f**2 - 12*f**2 + r*f**2 + 51*f wrt f.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4)\/11*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h + h**4 + (5*h**3 + 3*h**3 - 48*h**3)*(0*h + 2*h - 3*h).\nAnswer: 41*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Suppose -2*u = -3*g - 13, u - 3*g + 13 = -8*g. Let w = -18 - -20. Let m(p) = 0*p**w + p**2 + p**u. Determine j(m(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1047163.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:17 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -215, -208, -201?\n\"Answer: 7*y - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0772 + 4.167996567.\nAnswer: 4.245196567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125, -1277, -1429, -1581?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -20937533.\nAnswer: 16750026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*x + 10194 = 339*x - 3666. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12638 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/8 - m**3\/2 - m**2. Suppose 6*s - s = 20. List the prime factors of l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.213 + -0.21299887. What is x rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.32 + -25.68. Is m > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s - 1. Let y(i) = 16*i - 1. Suppose -3*b - 17 = 4*q, 11 = -3*q + b - 5*b. Let w(j) = q*y(j) + 7*p(j). Find the first derivative of w(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:54 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -9*z**2\/2 + 5*z - 44. Let n be d(0). Let g be ((-1)\/(-4))\/((-5)\/(-4)). What is the closest to -3\/2 in -0.3, n, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -23. Let j = 524 - 346. Let a = j - 87. Calculate the highest common divisor of o and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9920770*k**3 + 1169950*k**2 + 7*k wrt k?\nAnswer: 59524620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60286, -120576, -180864, -241150, -301434, -361716?\nAnswer: -421996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 + 8 = 4*l, -5*y + 3*l = -19. Suppose 0 = y*g + 2*b - 66204, 16710 = 2*g + 5*b - 9780. What is g rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 0)*5 - -2*(-3 + sqrt(5))) + ((sqrt(600) - (sqrt(600) + sqrt(600)*-2) - sqrt(600))\/sqrt(12))\/(sqrt(490)*1))**2.\nAnswer: -600*sqrt(5)\/7 + 14264\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n = -32*n + 25*n + 469 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -70. Suppose o = -b*o - q + 53, -q - 57 = -o. Let g = -32 + o. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23081 - -23127. Solve q*p = 53*p + 42 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 3*m + 4*z - 94, -8*z = -4*m - 76 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434013 + 2?\nAnswer: -434011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y + 2. Let m be t(-2). Let r be (-4)\/(-6) + m\/18. Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 7 - 9. Let c(v) = v + 8. Let b be c(s). Let d = b + 4. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5. Let r(p) = -p**2 + 2. Let w(b) = -2*o(b) + 5*r(b). Let q(i) = -2. Let a(g) = -g + 6. Let s(l) = 2*a(l) + 6*q(l). Determine s(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32318\/8701*7\/(-4)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4680 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.01217 rounded to 2 decimal places?\nAnswer: -10.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3990 divided by 95\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 26. Let t = -555 - -577.9908. Let g = t + i. Round g to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-40)\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -3 - sqrt(1584) - sqrt(1584)) + sqrt(55)\/(-1*sqrt(5)))**2 - ((1 + sqrt(704) + sqrt(704))*1)**2*2.\nAnswer: -3766 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 43, 13 in ascending order.\nAnswer: -1, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 - 222*b + 1359\/2.\nAnswer: -3*(b - 3)*(b + 151)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 6*i + 10, 11*d + 5*i = 13*d + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56597*n**4 + n**3 + 391*n**2 + 217523595*n.\nAnswer: -679164*n**2 + 6*n + 782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/6)\/(126\/(-938)) and 13\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11112 + 12800. Let s be (-1 - (-5)\/(-7))\/((-1232)\/o). Which is smaller: s or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:10 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113402*i - 90910*i - 110651*i.\nAnswer: -314963*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 + -208. Let s be (6\/(-84))\/(3\/12). What is the nearest to -0.1 in k, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*((sqrt(325) - (sqrt(325) + -2 + sqrt(325))) + -5) - (-1 + 3*(3 + (1*sqrt(325) - sqrt(325)))**2).\nAnswer: -90*sqrt(13) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 179693000 to the nearest 100000.\nAnswer: 179700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4804, 154, 8412, 19970, 34828, 52986, 74444?\n\"Answer: 1650*c**2 + 8*c - 6462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.69006 - 0.30994. Which is the closest to -2? (a) -1\/4 (b) g (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00159683855 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 2, 2\/127, -67, 1382?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - -15.69. Let o = 6520826 + -6520810.000005. Let k = o - i. Round k to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17006.\nAnswer: 2, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l**2 - 6*l - 7. Give h(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 = 2*r - 2*q, 5*q - 7 = -2*r + 798. Is r + -20 + 4\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(117)*1 - sqrt(117))*5 + sqrt(117) - ((-2*sqrt(208)*2)**2 - ((4 + sqrt(208) + 0 - sqrt(208)) + sqrt(208) - sqrt(208) - sqrt(208))))*-2.\nAnswer: 2*sqrt(13) + 6644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 3*o**2 - 394*o - 2*o**4 - 2 - 20 + 19 + 390*o in the form l*o**3 + n + w*o**2 + p*o**4 + z*o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0 + 0)*((2 - 4 - 1)*(2 + 2 - 3) - 2 + 1 - 1).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/18 - (-6)\/27. Let w(m) = 0*m + 5*m**b + 13 - 4 + 7*m. Let z(k) = 3*k**2 + 4*k + 5. Let i(y) = 4*w(y) - 7*z(y). Solve i(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46006609 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 28. What is the smallest value in 2, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 equal to 615.76729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(176) - sqrt(11))*-2.\nAnswer: 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + -3 + -1) - (sqrt(102) + ((sqrt(102) - -3*(sqrt(102) + 1*sqrt(102) + sqrt(102) + sqrt(102))) + sqrt(102) - sqrt(102)))\/sqrt(6))**2.\nAnswer: -120*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -435838478 divided by 5251066\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/35*10\/(-112)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3040.6260545 + -0.145\nAnswer: 3040.4810545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 - 96*a**3 + 31*a**2 + 8*a - 295.\nAnswer: 12*a**2 - 576*a + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 20*w**2 - w**4 + w**3 + 17*w**2 - 39*w**2 + 2 to t*w**3 + k*w**4 + v + n*w**2 + y*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/2? (a) 0 (b) -1\/2 (c) 3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10*2 + (-22)\/55. Suppose -5*r + m = 10. Let h(x) be the second derivative of -x**5\/20 - x**4\/4 - 2*x**3\/3 - x**2 + 4*x. Calculate h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*j**3*k - 3*j**3 + 5*j**2*k - 105344*j**2 - 38*j*k - k with respect to k.\nAnswer: 36*j**3 + 5*j**2 - 38*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 4*s + 5. Let i(j) = 4*j**2 - 4*j - 6. Suppose -4*c - 98 = -2*m - 106, 0 = -4*m + 24. What is c*i(l) + 6*h(l)?\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*2*1*(-16 + 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 + 3. Let i(x) = -4*x**3 + 7*x**2 - 10. Let y(f) = 7*d(f) + 2*i(f). Let r(g) = g**3 - 7 - 2 + 0*g**3 + 7. What is -3*r(c) - 6*y(c)?\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -920, -3165, -7520, -14687, -25368?\n\"Answer: -117*o**3 - 2*o**2 - 12*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2145 and 5265.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565431785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 2098 = -2*h, -12*p = 4*h - 11*p - 4158. Calculate the least common multiple of 780 and h.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Differentiate -3 - 3*s**2 + 3*s**2 + 2*s**3 + z*s**3 with respect to s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) - 138\/(-72)*-183. Let t = 351 + m. Which is the nearest to -16? (a) -0.3 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -19*x - 2664. Let n be (-5 - -1)*(1 - 2). Suppose 0 = n*r - u - 183, -u = -r + 6*r - x. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4224 and -25\/1716.\nAnswer: 54912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044891 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 2*w + 2. Let v(m) = -2*m**2 + 5*m - 5. Let p(c) = 5*l(c) + 2*v(c). Let g(u) = -1 - 826*u**2 + 809*u**2 + 1. Determine p(g(z)).\nAnswer: 289*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*2)\/sqrt(11) + 5 + -1*sqrt(147).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -250976?\nAnswer: 4768544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5069 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 17*r - 70. Calculate l(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 4. Let d(i) = -2*i. What is d(w(c))?\nAnswer: -6*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 7216?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 14967.\nAnswer: 14967.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owpnipo. Give prob of sequence wpp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 7*q**4 + 1404*q**2 - 11016*q?\nAnswer: -40*q**3 - 84*q**2 + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 31025, 5, -3\/8 in decreasing order.\nAnswer: 31025, 5, -2\/7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80\/3747 or -1?\nAnswer: -80\/3747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 143. Let j be l(-49). Solve -3*f + 0 + 8 = -j*n, -3*n - f = -7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 - 173. Put 2, -9, -2, a in ascending order.\nAnswer: -9, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 28950374*t**2.\nAnswer: -t**2*(t - 86851122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -278, 9\/7 in increasing order.\nAnswer: -278, 1, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckv when three letters picked without replacement from {v: 1, k: 5, a: 5, z: 3, c: 6}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 4*h - h - 562 = 0, c - 2*c + h = 3*h - 63 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c + 24. Let h = -3929\/180 + 187\/9. Calculate the common denominator of (138\/16)\/(2\/c) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -46. Suppose 3*u + t - 23 = -7, -3*t + v = 4*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 + -2 - 1) + -1 + -1 - -11?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71371 and 5819371.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**5 + 2*p**4 - p**3\/3 + 4*p + 84. What is the third derivative of w(x) wrt x?\nAnswer: -120*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -13. Let s = 75 + t. Solve -3*w - 17 = -2*d, s = -w + 4*d + d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4004, -7796, -11602, -15428, -19280?\nAnswer: -23164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1153 = -2*q, -315 = 4*q - 5*k - 2636. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23051\/10 + -2297. Find the common denominator of -23\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**4\/2 + 21*n**3\/2 - 12144*n**2. What is p(12)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(99) + -1 + sqrt(99) + 0 - (sqrt(99) + -1 + 1))**2 + 1.\nAnswer: -497 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160.9 + 161. Let j be 2\/3*4\/16. What is the biggest value in 0.2, x, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.75? (a) -1 (b) -0.6 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111\/116 less than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2, 110, -106 in decreasing order.\nAnswer: 110, 2\/3, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(216*x + 12858*x - 368*x + 7837*x + 7469*x + 12287*x) in the form g + f*x and give f.\nAnswer: 120897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 3*p = 5*p - 7*p - 64, -27*z - 3*p = -25*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(-4 + 0 + 1)*(0*d - 2*d + 0*d + (0*d + d - 2*d)*(-10 + 11 + 7)) to m*d + q and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from ckvcckk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/6 - 16*y**4\/3 + 95*y**3\/2 - 75*y**2.\nAnswer: y**2*(y - 15)**2*(y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 10d?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -168*s + 240. Let y(z) = -62*z + 80. What is 3*b(p) - 8*y(p)?\nAnswer: -8*p + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/33 and -43\/2038224.\nAnswer: 22420464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -322469 and -322388 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 - 3*q + 1. Let y be 4 + -1 - 3 - 2. Let v be h(y). Let n be (-7 - -1) + v - -21. What is the highest common factor of n and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393546*i**2 + 166369*i wrt i?\nAnswer: -787092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17432 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 + 6*b - 4. Let t be z(-7). Suppose 2*k - 37 = -v + 73, 170 = t*k + 4*v. Calculate the greatest common divisor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3766 + 4091. Calculate the greatest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1\/4, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*p - 179, -45 = a + 4*p - 2*p. Let f = -54 - a. Which is smaller: 2\/75 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from leawf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37 + 39)\/(-1 - 437))\/((-16)\/10608) + -3.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f - 1468 = 1268 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*m - 13 + m**2 - 53*m as w*m**2 + d + l*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 741*a**2\/2 - 4419*a\/4 + 13311\/2.\nAnswer: -(a - 3)*(a + 6)*(a + 1479)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2. Let x(j) = -j**3 - j**2 + 2. Let t be x(-2). Suppose 2*a + t = -a. Let m(k) be the first derivative of k**2\/2 + 2*k - 472. Give a*m(p) + 3*c(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*b**5 - 3*b**3 - b - 83?\nAnswer: -2000*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2, -7, -6.\nAnswer: -7, -6, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -2477?\nAnswer: -2477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 3)*(-27 - 16 + 15)*(2 - 68*g + 1 + 109*g - 2).\nAnswer: -8036*g - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/120 + q**5\/20 - q**4\/8 + 7*q**3\/6 - 20*q**2 - 2*q. What is w(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-462)\/(-162))\/(2060\/9270)?\nAnswer: 77\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 6, w: 9}. Give prob of picking 1 w and 2 x.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.147 in -0.1, 8, -102.6, -2\/5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4570?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303708?\nAnswer: 2, 3, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 - 30211323?\nAnswer: -30211033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 45088*z + 45088*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 7*y**2 - 2*y - 7. Let p(z) = -z**3 + 6*z**2 + 7. Let r(i) = 3*p(i) + 2*x(i). Let c be r(-5). What is the second smallest value in -6, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 3*h + 71, 4*z + 2*h - 298 = 0. Suppose -28 = -4*u + 12. What are the prime factors of (-15)\/u - z\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 81\/39) + (-320)\/(-104). Let n(v) = 2*v + 2. Let m(h) be the second derivative of h**3\/3 + 3*h**2\/2 + h. What is k*n(z) - 2*m(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:45 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 7*p - 4. Let g be d(-8). Suppose -2*m - g = -48. What is the smallest common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 8 = 3*q. Let g be (-1)\/(-4) - 30\/(-8). Let w be 6\/4 - (-2)\/g. Solve 11 = -w*n + l, -2*n - n = -q*l + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 824 = -17*c. Let x = c + -126. Calculate the greatest common factor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(6*5\/170). What is the greatest common divisor of m and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k = -68*k - 80 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 60. Let k be j\/(-21) - (-2)\/7. Let p(d) = 0 + 0*d + 3*d + 1. What is p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*j + 4357 = 0, 3*d + 4*j + 162 = -4177. Let b = d - -2061. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + 2*t**3)*(-2*t - t + 0*t) + (3 + 2*t + 3 - 4)*(-2*t**3 + 4*t**3 + 4*t**3).\nAnswer: 6*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + -4 + (-1 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21289.6497 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2253915.\nAnswer: 3, 5, 50087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 14*t**2 - 13*t + 7. What is m(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 - 648*p**2 + 46656*p - 1119744 = 0 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p - 118. Calculate the remainder when 89 is divided by r(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.2 + -5377.\nAnswer: -5348.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 - 5*i**4\/12 - i**3\/3 + 11*i**2\/2 - 14*i - 8. Suppose -18 = 5*x - 58. Is o(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 53*o**2 + 27*o - 32. Let y(s) = s**2 - 698*s - 6390. Let r be y(-9). Determine k(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 1, c: 10, a: 5, w: 2, n: 1}. Give prob of sequence gnc.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorostprptnprptornrp. What is prob of picking 1 r and 1 s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 2*u**2 + u**2 + (5*u - 2*u - u)*(u - u - u) - u**2 + 6*u**2 - 4*u**2 + 0*u**2 - 2*u**2 + u**2)*(0 + 1 - 3)*(-55 - 53 + 76).\nAnswer: -256*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4530 (c) -82\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*x**4 + 711\/4*x**2 - 177*x**3 + 0 + 0*x = 0. Calculate x.\nAnswer: -237, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 17*l + 5*g - 140, -l + 2*g = -40. Calculate the remainder when l is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 4. Suppose 3*k + 0*k = 0. Let f = k - m. Solve 0 = 4*c + f - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24*(2 + (-6)\/9). Which is the second smallest value? (a) -108 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(1872) - sqrt(1872)*1)) + 2*((sqrt(1872) + 0 + sqrt(1872))**2 + 5 + sqrt(1872)).\nAnswer: 24*sqrt(13) + 14986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 4*x - 5. Suppose -13*d + 14*d - 5*o = 33, 4*d - o = 18. What is k(d)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283481, 566866, 850251, 1133636, 1417021, 1700406?\nAnswer: 1983791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 0.013?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/20 - 4)\/((-2)\/(-15)). Let i be (b - 6)*2\/1. What is the highest common divisor of i and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -300.5 + 301. What is the nearest to -0.06 in -82, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**9\/126 + 163*z**6\/120 + z**5\/30 - z**4\/24 - 59*z**3\/3 - 24*z**2 - 154*z. What is the third derivative of f(g) wrt g?\nAnswer: 480*g**3 + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5353 - 5351. What is the closest to 19 in -0.1, -16, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -a - 4*a. Let y = 45 + a. What is the remainder when 22 is divided by 169\/y*1*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r + 2123 = 176*r - 1705 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 111 = n - 3*u, 369 = 4*n + 3*u. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 11*a**6\/10 - 2*a**3 - 335*a**2 - a + 75. What is the first derivative of s(v) wrt v?\nAnswer: 132*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 15, b: 5}. What is prob of picking 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 13.48. Let x = -0.4871 + k. What is x rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 67\/2 - 9\/18. Let p be (-15)\/5 + 2 + i. What is the highest common divisor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*b - 19. Suppose -5*k + 6 = -b*k. Suppose -2*a + k + 0 = 0. Solve 0 = a*q + 7 + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -836, -2407, -3978, -5549, -7120?\n\"Answer: -1571*o + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2192 - 1538. Let g(x) = -x**3 - 2*x**2 + 5*x - 1. Calculate the remainder when p\/10*120\/72 is divided by g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12.3. Which is the smallest value? (a) 3 (b) -0.07 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x - 1. Let j be v(-6). Let p = j - 13. Solve -3*a = -5*k - 40, -k - 4*a + a + p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, i: 5}. What is prob of sequence iiki?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12 and 64\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -11610\nAnswer: -1\/2322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5570 and -12839?\nAnswer: 18409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*w + 6, 3*w - 1 = 2*n - 0*n. Let f(a) = 2*a - 1. Let j be f(n). Let v(x) = 5*x**2 + 1. List the prime factors of v(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let i(f) = 419*f**2. Give u(i(x)).\nAnswer: -175561*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6854?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3386886?\nAnswer: 5\/3386886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -9. Let l = -22 - z. Which is the closest to l? (a) -0.1 (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1136 - -7?\nAnswer: -112c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082057 is divided by 1290?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7166336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1347*a - 190. What are the prime factors of p(-3)?\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (4 + -7 - -6)) + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iicfflltttlleee. Give prob of picking 1 t, 1 f, 1 e, and 1 l.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 67 + 68. Suppose -58*l + 53*l = -v. Solve -2*y + l*i = 3, y - 5*i + 3 = -2*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1686 = -11*x - 454. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*x - 2, -2*i - 132*x + 127*x - 19 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/450 and 61\/41592.\nAnswer: 3119400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 710129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -23*o + 1837. Give b(63).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11816 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344\/15 - -346\/15. Let s(n) be the first derivative of 4\/5*n**2 + 8\/5*n + f*n**3 + 11. Let s(v) = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 17*b - 54. Let y(h) = -4*h + 6. Let o(x) = -9*x + 13. Give b*o(i) - 7*y(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 1, 5, -4 in decreasing order.\nAnswer: 6, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/120 + 7*d**5\/20 - d**4\/12 + 19*d**3\/2 + d**2 + 5. Let a be b(21). Sort 1, 0, -2, a.\nAnswer: -2, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -37*z + 6. Give w(2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 + 1302. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.003 and -400937?\nAnswer: 400936.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 1413016?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1075, -1599, -2125, -2653, -3183, -3715, -4249?\n\"Answer: -t**2 - 521*t - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1448 - 559*l - 18*l**2 + 278*l + 280*l - 1375 to h*l + x + b*l**2 and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.10826 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let u(d) = 2*d. Let l(g) = g**3 - 17*g**2 - g + 14. Let o be l(17). Calculate o*z(n) - 4*u(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 - 2.399961. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56*2*11\/385*1200\/48\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 2*f - 2, 0 = 3*f - 3. Solve -o + 4 = 2*c, 2*c - z*o - 8 + 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = 20. Let m be 12936\/980 + (-22)\/10. Suppose m*q - 294 = z*q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - 31) + (-1 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let i be c(1). Suppose t - 2*t = -i. What is the third derivative of t*z**3 + 5*z**4 - 2*z**3 - 4*z**2 - 2*z**2 wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -17. Suppose 2*s - 176 = 4*y, -3*y = m - 6. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = p - 58 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 2:02 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/938 and -91\/958.\nAnswer: 449302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 235109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -15. Let a = -11 - v. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 243011003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 0.3, 67\/2, -25 in increasing order.\nAnswer: -25, 0.3, 67\/2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22575 and -0.7.\nAnswer: -0.158025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/7)*d*d**1)\/((d*((d*d**3)\/d)\/d)\/d*d*d**(1\/5)) assuming d is positive.\nAnswer: d**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - -2 - 0) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5946 - 11915 + 77*c + 5969.\nAnswer: 77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*4\/(-19). Which is the nearest to 2\/5? (a) y (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 5. Let k be p*92\/2 + -1. Suppose 3*q + 5*b = -2*q + k, 0 = -5*q + 5*b + 5. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*l - 308, -l = 3*l - j - 252. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 4*i - 2*i**3 - 3 + 3*i**2 + 0. Let a(m) = 3*m**3 + 7*m**2 - 9*m - 7. Let z = -55146 - -55153. Calculate z*j(x) - 3*a(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2364184*b**6 + 4346616*b**2 wrt b.\nAnswer: -283702080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 183*p + 3. Let q(c) = -19*c**2 + 18. Give g(q(j)).\nAnswer: -3477*j**2 + 3297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 99*c**2 - 2*c - 2. Let g(v) = v**2 - 5*v - 15. Let n be g(7). Let x be r(n). Let p = x - 97. Solve -3*t = 2*i, 0 = i - p*t - 3*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -34*v - 3103. Determine a(-91).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-12)*(-72)\/(-1350)*5\/(-2).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + 110910\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*o**3 + 0 - 37*o**2 - 13*o**3 + 4 + 30*o**2 + 14*o**2 to the form i*o + v + k*o**2 + g*o**3 and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4224809*g**6 + 612*g**2 - 9619*g wrt g.\nAnswer: -506977080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -18*f**3 - 34109*f**2 + 1905*f + 18958. Give v(-1895).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)*(-6 - 221\/(-34)). Which is smaller: 65\/24 or q?\nAnswer: 65\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 6. Determine v(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6913 and 178400.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32179560 divided by 8044890.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 408? (a) 0.37 (b) -29 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {h: 1, y: 7, m: 8, t: 2, n: 1}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11941 + -11814. Which is the nearest to 1? (a) q (b) 0.5 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-238)\/(-7) - (6 + 0). What is the highest common divisor of z and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 27 - 29. Let r = -28.16 - -28.06. Is f != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711276 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 59360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18605*u**2 - 162111160*u - 353131257680.\nAnswer: -5*(61*u + 265756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Let j(q) = -q**2 - 10*q + 2. Let u be j(-10). Let r be 2 + u\/(8\/w). Solve 3*n = -r*g - 15, -1 = 3*n - g - 3*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/15 + 13*z**2\/2 + 11*z - 1. Let u(v) be the first derivative of m(v). What is the derivative of u(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-280)\/320 + 1\/1. Which is the biggest value? (a) -4 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.9 + 24.3. Which is the third biggest value? (a) -0.4 (b) 24 (c) o (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4637*i - 64260 = 2495*i for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-19))**(-29)\/((c\/(c**(-28)\/c))\/(c*c**(-1\/11)*c*c)) assuming c is positive.\nAnswer: c**(-6678\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:58 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3771201348 to the power of 1\/2, to the nearest integer?\nAnswer: 61410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -0.2 (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 9 = 9. Sort -5, 1, v in increasing order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -24*r**2 - 6*r + 6. Let y be s(1). Let a be y\/7 + 80\/(-140). Sort -2, 3, 2, a in ascending order.\nAnswer: a, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 20*g. Let n(u) = 4*u. Let v be (-1)\/((-3)\/2 - -2). Let b(f) = 5*f - 69 - 58 + 195 - 68. Let p(a) = v*b(a) + 3*n(a). What is w(p(d))?\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 45, 1, 10.\nAnswer: 1, 10, 41, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101010101001110010101 (base 2) to base 8\nAnswer: -5251625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f - 25. Let x be a(0). Let h = -8 - x. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2 - (0 - -15). Let f = -68 - -96. Let l = f + i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millisecond in microseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72287689?\nAnswer: 17, 23, 184879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 30) + (3 - 1 - 4) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 18. Calculate the remainder when 35 is divided by t(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1 + 2*sqrt(1377) + sqrt(1377) + 3*sqrt(1377)*1)**2 - ((sqrt(68)*-3 + sqrt(68) + sqrt(68))\/sqrt(4) - (4*sqrt(1700))**2).\nAnswer: 127*sqrt(17) + 94674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1429 - 61439\/11432. Let j = 40106 + -1443871\/36. Find the common denominator of q and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n - 15 = 0. Let g(u) = u**2 + u - 1. Let c = 4 - 3. Let p(b) = -4*b**2 - 9*b + 5. Let r(h) = c*p(h) + 3*g(h). What is r(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626895?\nAnswer: 5, 525379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186070\/41 - -4538. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8)\/(1*-1). Let f = 40 - 43.1. Let h = 6.1 + f. Which is the third biggest value? (a) -2\/3 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 266 - 89 - 75 - 67.\nAnswer: -3*o + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose -k - 12 = -n*k. What is the second derivative of k*r**5 - 2*r - 1 + 1 - 8*r**5 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525754.7mm in nanometers?\nAnswer: 525754700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1339, -1340, -1341, -1342, -1343, -1344?\n\"Answer: -i - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109004 and 257082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 0*a**3 + 0*a**3)*(0*a + 0*a - 14*a**2) + a**2 + 245*a**5 + 133 - 496*a**5 + 248*a**5.\nAnswer: -17*a**5 + a**2 + 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 5*s - 9. Let f be t(7). Let z(d) = -d**2 + 6*d - 2. What is the units digit of z(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3\/7 + 57591734*b**2\/7 + 138200335645570*b\/7 + 46066772149442\/7.\nAnswer: 2*(b + 4799311)**2*(3*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2044 + -2047. Let d(a) = -3*a - 1. Let b(t) = -10*t - 2. Give g*b(c) + 8*d(c).\nAnswer: 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -147975 divided by 30?\nAnswer: -9865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*3 + (sqrt(132) + sqrt(132) + (sqrt(132) - (sqrt(132) - sqrt(132)*1 - sqrt(132) - sqrt(132))) - sqrt(132))*4)\/(sqrt(108)*-1*3*2).\nAnswer: -11*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 1b?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w - 7800000. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 206\/182 - 1 - (-566)\/3679. Let r = 1 - 1.3. What is the second smallest value in -4\/7, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/45505 and 48\/26345?\nAnswer: 500555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 329530 - -6\nAnswer: 329536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (90\/14)\/((-2)\/7) and (-585)\/(-66)*1\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 31, 21, -5, -53, -129?\n\"Answer: -y**3 + y**2 + 4*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.173*0.35905\nAnswer: 0.06211565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(51) + 2*sqrt(1836) + sqrt(1836))\/(5*(sqrt(3) + sqrt(48))))**2.\nAnswer: 114*sqrt(17)\/25 + 11762\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.1191 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 104*g**2 + 8 + 205*g**2 - 105*g**2.\nAnswer: -4*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 28, -79, -292, -647, -1180, -1927?\nAnswer: -2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7751 is divided by 443?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.1 + 9.5. What is the nearest to 0 in 2, 3, t, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 0*h**4 + 0*h**4 + (-358 + 236 + 196 - h)*(h**3 - 3*h**2 + 3*h**2) in the form g*h**4 + z*h + u + r*h**2 + v*h**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 - -0.08. Let n = 1 - d. Let t = -6 - -4. What is the second smallest value in n, 2\/3, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 22 - 11 - 3*v**3 + 17*v**2 in the form z*v**3 + i + m*v + f*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1690 - 1690. Let y(u) be the second derivative of -21*u - 1\/12*u**4 + 0*u**3 - 9\/2*u**2 + m. Differentiate y(p) with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8208109 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/7 + 19932477*s\/7 - 59797404\/7 = 0. Calculate s.\nAnswer: 3, 6644156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 23) + (-3 + -3 - -5) + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-99) + (-5)\/3 + 426. Which is smaller: 428 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10360)\/50)\/((-38)\/(-20) - 2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let s be m(0). Suppose s*z - 4*f + 18 = 0, 5*z + 36 = 2*f - f. Let l = z + 4. Is l smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*(0 - (-3 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*g**5*m**2 + 881*g**5 - 2*g*m - 4*g - 5*m**2 + 925*m + 4 wrt g.\nAnswer: 2460*g**3*m**2 + 17620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -624433?\nAnswer: 624435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/19, 0.0154, 1 in descending order.\nAnswer: 1, 0.0154, -1\/19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -9504003.\nAnswer: -9504000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/112*8\/6*(-56)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 16\/15*v**6 + 19\/12*v**4 + 0 + 0*v**2 + 0*v**5 - 45*v + 0*v**3. What is the third derivative of p(k) wrt k?\nAnswer: 768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -69. Let w(g) = 25*g + 5 - 35*g - 8*g - 39*g. Let a be w(-2). Calculate the highest common divisor of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 17010124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -885665, -1771331, -2656997, -3542663?\n\"Answer: -885666*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -58039 (base 15) to base 6\nAnswer: -10001043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/(k\/(k\/((k*k**(2\/3)\/k*k)\/k)*k))))**(-5\/2))**(-11))**49)**(1\/27) assuming k is positive.\nAnswer: k**(-2695\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 25*u**4\/12 + 149*u**2. Let i(v) = -2*v**2. Calculate c(i(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r - 4. Let c be b(4). Let w(d) = 185*d - 7577. Let p be w(41). Put c, 0, p, 3 in descending order.\nAnswer: p, 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 + 3*l + 15. Give g(5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15735 = -319*j + 314*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 + -305. Determine u so that 10*u**j + 11*u - 33*u - 68 + 20 - 12*u**2 = 0.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 891265 divided by -1\nAnswer: -891265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/3*(-11)\/((-220)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*h**2*m**3 + 7*h**2*m**2 + 334*h**2 - 3*m**3 wrt m?\nAnswer: -1020*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -519+-32\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 b when four letters picked without replacement from bmnnkmmmkmbdbkkdnmkk?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 0*f**4 + 0*f**4 + f**5 + 3*f**3 - 3*f**3 + (-3 + 0 + 5)*(-3 + 3 + 2*f**5) + (-6*f**2 - 2*f**2 - 7*f**2)*(6*f - 6*f + 3*f**3).\nAnswer: -42*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Suppose 2*d + 2*c + 16 = 0, -4*d - 20 = -0*d + c. Let h(y) = 70*y + 6. Let m(u) = -138*u - 10. Let v(s) = d*m(s) - 7*h(s). Give v(p(k)).\nAnswer: -62*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 75. Let n(x) = -x - 6. Let v be n(0). Calculate the smallest common multiple of 10 and (v\/p)\/((-1)\/25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4523, 0, 574\/23?\nAnswer: 574\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, -191, -528, -995, -1592, -2319?\n\"Answer: -65*x**2 - 12*x + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x - 2 = 0. Is x - (0 + -2) - -22 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1258\/(-85))\/((-1799)\/(-1285)*(-8)\/7)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/180 and 73\/12277740.\nAnswer: 36833220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 157, 230, 305, 382?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:51 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arbbarbarrbrbravb. Give prob of picking 1 a and 1 b.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*24\/9. Sort 5, d, 3, 8 in decreasing order.\nAnswer: 8, 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 27. Let r(v) = v**3 + 9*v**2 + 12*v - 5. What is the remainder when m is divided by r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2637)\/(-27)*(-3)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03067 rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*c - 37, -72*c - 35 = -3*g - 71*c. Let v be 5\/2*(-22)\/(-1). Calculate the greatest common divisor of g and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 66. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/12 and ((-4)\/(-16))\/(2\/108).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*m**4 - 249*m**3 - 1672*m**2\/3 + 836*m\/3 - 32 = 0. What is m?\nAnswer: -8\/5, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-15)\/(-20))*4\/1. What is the third derivative of -9*s**3 + 22*s**r + 10*s**3 - 13*s**2 - 19*s**2 wrt s?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -7. What is the remainder when 72 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/6)\/((-24)\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192 + 388. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 30. Let t be (90\/6)\/(7\/(-14)). Is j <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596606071 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1536 divided by -12\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140615.\nAnswer: 5, 28123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*r - 690*a = -688*a - 294, -a + 52 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y + 5. Let r = 59 - 56. Let c(v) = -r + 4*v + 4*v - 6*v. What is 7*c(p) + 4*t(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -41*p + 275. Let j(f) = -f**3 - 83*f + 550. Let a(r) = -5*j(r) + 9*s(r). What is the derivative of a(y) wrt y?\nAnswer: 15*y**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125488 is divided by 378.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g**2. Let s(i) = -403*i - 3. Give s(k(a)).\nAnswer: 6448*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -3, 2 in descending order.\nAnswer: 29, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3\/(-2 + (-15)\/(-10)). Let l be ((-4)\/7*v)\/(72\/336). Solve 3*i - 7*i - l = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1143761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 15*n - 19*n. Find j, given that 3*j**3 + 757*j**2 - 749*j**2 + 0*j**3 + n*j**3 - 2*j**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*u - 51*u - 32. Which is the closest to u? (a) -5 (b) 4\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*u - 349 + 19 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*w - 5*w. Let b = 4 - w. Suppose 83 = b*j - 225. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 356 = 5*j + 349, -3*z = -4*j + 6. Suppose 0 = -4*b - 0*b. Solve -16 = -5*c - w, b = -5*c + 5*w + j + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447620 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47\/((-1269)\/108) - 80\/(-10). Factor -1\/2*s**4 - 3*s**2 + i*s - 4*s**3 + 7\/2.\nAnswer: -(s - 1)*(s + 1)**2*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqto?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:53 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*z - 44*z + 42*z - 2008 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.57045 milligrams in grams?\nAnswer: 0.01257045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 + c**3 + 3*c**3 + 3*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 7*z**6\/120 + 152*z**2. Let c(t) = 4*t**2 - 35*t**3 + 32*t**3 - 4*t**2. Suppose 82 - 7 = 5*r. Calculate r*c(h) + 6*o(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/756 - (59 + -14)\/(-315)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50459950 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3 + 0 + -2). Suppose 3*l - 2 + 5 = c. What is the units digit of -150*((-10)\/(-25))\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 53 - (19 - -6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = p - 6, 18 = 3*p + 4*r - r. Find the third derivative of 2*w**2 + 12*w**2 - 4*w**2 - 8*w**p wrt w.\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 26. Suppose 1 = -z, -z = -2*q + 1 + c. Which is smaller: 7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16072 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -17141.45 to the nearest 10.\nAnswer: -17140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -195 + 195 + 16*p**2 - 5*p**2 in the form b*p + t + c*p**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 40438650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 46 + 3 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*(sqrt(363) + 1 - sqrt(363)) + (sqrt(363) - (-5 + sqrt(363) + 0)) + 1*(sqrt(363) + 1) + sqrt(363))**2 + -3)*3.\nAnswer: 528*sqrt(3) + 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 41. Suppose 12*d - 11*d - t = 0. What is the smallest common multiple of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 122?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 2905827*u - 11623260.\nAnswer: -3*(u - 968605)*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (0 - (-14 - -8)) - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -3\/2, 6, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-28))\/((-1)\/7). Suppose -v*w + 31 + 103 = 0. Calculate the remainder when w is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -366, 4, -1, -3, 6, 2 in descending order.\nAnswer: 6, 4, 2, -1, -3, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 5*h**2 + 3. What is the units digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -76. Let t = 64.26 - g. Round t to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 50 - 253. Suppose 0 = 5*y - s + 26. Suppose 26 = t - u, -15 = -8*u + 3*u. What is the remainder when t is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -1097, -1100, -1103?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 27*k + 192 = 0. Suppose 3*l - h = l + 447, 0 = 3*l + k*h - 665. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqql. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-2136)\/(-48))\/(-89))\/((-2)\/76)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.009 - 0.079. Let v = q + 0.070078. Round v to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*n - 142 + 142 to t*n + z and give t.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828 divided by -4414?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - q**2 + 35 - 42 + q**2 - 103*q.\nAnswer: -3*q**3 - 103*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v - 64. Let y(a) = 104*a - 189. What is -7*r(w) + 2*y(w)?\nAnswer: -2*w + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/15 + 7*a**4\/24 + a**2. Find the second derivative of b(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -55362\nAnswer: 13\/27681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1389283.66 + -5.45.\nAnswer: 1389278.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411580 (base 10) to base 13.\nAnswer: -115450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = -4*u - 52, -5*m = -u + 6. Let i = -15 - u. Let d = i - 4. Which is the biggest value? (a) -3 (b) d (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 33*b + 24. Let u(t) = 32*t + 30. Give 3*a(o) - 2*u(o).\nAnswer: 35*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-42) - 58\/(-12). Suppose v + 11 = 2*r, 0 = -l*v - 0 - 5. Suppose -2*m + 41 = 3*f, -2 = r*f - 7. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.80962 - -1.36621. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + (1 - (1 + -4)) + (-95 - -74)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 23. What is a(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 80, 5, 2\/15, 1\/7, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -80. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2. Let z(c) = 457390*c**2. Give w(z(a)).\nAnswer: -1046028060500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3938900)\/(-168))\/425 + -56\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 22 = 4*x, -47 + 70 = -2*x - 3*d. Let g(b) = 15*b + 161. What is the lowest common multiple of g(x) and 119?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69996680 divided by 130\nAnswer: 538436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 22980\nAnswer: -1\/11490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6343971*i**3*z**2 + 531*i**3*z + 5*i**2*z - 3*i**2 - 26*z + 1 wrt z?\nAnswer: -12687942*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*c**3 + 19*c**3 + 35*c**3 + (-12*c**2 + 12*c**2 - 13*c**3)*(-1 - 3 - 1) as v*c**2 + i*c + t + l*c**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-8) - 1\/4. Suppose -5*a - 5 = -v - 0, 0 = -v. Let p be (4 + -4)\/(-1 - (a + b)). Let y(d) = -d**3 - d**2 - d + 8. Calculate y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 10*j**2 - 3*j + 10. Let q be n(-9). Let v = q + 68. Calculate the least common multiple of 18 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5784000 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -5*f + 582. Suppose 76*y + 294 = f*y. What is the smallest common multiple of 48 and y?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and 5811.684.\nAnswer: 377759.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 8*k**2\/3 - 58*k\/9 - 28\/3.\nAnswer: -2*(k - 7)*(k - 6)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 10*v - 9*v + 39*v - 10*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*m - 2*d + 3*d, -4*m = 2*d + 28. Let l be (-30)\/m + 2\/(-7). Suppose q - 1 = -3*u, 2*u = 4*q - 8*q + l. Solve u = -4*f - f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1574*f**2 + 1574*f**2 - 120*f**4)*(-33 + 26 - 28 - 18) to p*f**3 + o*f**2 + k*f**4 + m*f + l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81937923*c**3 + 163875820*c**3 - 81937914*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97*d**3 + 2*d**2 - 3*d + 8170 wrt d?\nAnswer: -291*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -208.\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-12 - (-3 + 13 + -9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270697019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.01843, -5.41 in ascending order.\nAnswer: -13, -5.41, -0.01843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 7*i**2 - i - 2. Let q be b(-7). Let w = 17 + -12. Calculate the greatest common divisor of q and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 15*w**2 + 17*w + 2. Let v(x) = -2*x**2 + 3*x + 8. Let a be v(4). Let b be u(a). Let j = -161 + b. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 18*s**2 - 11*s**2 - 3*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.3 minus -17?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 8*a**2 - 9*a**2 + (-3 + 1 + 0)*(5*a**2 + 2*a**2 - 5*a**2) + (9 - 6 + 43)*(-a**2 + 4*a**2 - 2*a**2).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 - 16*r - 12. Let n be -6 - ((-4 - -1) + 4). Let p be s(n). Solve -p*c - 8 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 35*g - 38*g - 2888, 5776 = 4*v - g. What is the remainder when v is divided by 180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 54 = -3*x, -5*p + 51 = 5*x + 191. Let d = p + 61\/2. What is the nearest to 0 in -2\/7, d, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-58)*1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.9?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 44. Let x(h) be the third derivative of 0 - 1\/6*h**3 - 1\/40*h**6 + 0*h**4 + 0*h + 0*h**i - h**2. Find the first derivative of x(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 + 2 + -2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a = -123*a - 69*a - 95*a. Which is smaller: a or -1\/18424?\nAnswer: -1\/18424","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5025 (b) -5\/2 (c) -2 (d) 1\/466\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145525 times -2?\nAnswer: -291050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1770288697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*sqrt(2))**2 + sqrt(2)) - (-1 + sqrt(72)).\nAnswer: -159 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20220310113?\nAnswer: -20220310113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 129*m**2 + 3036*m - 73. Calculate a(98).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -22. Suppose 0 = g*l - 8*l - 6. Let q = 263\/1430 - 8\/55. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 800587004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/(48\/32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 13*h**2 - 15*h + 38. Let z be g(12). Suppose z + 84 = 5*s + 2*c, 63 = 3*s + 5*c. Solve 0 = 19*f - s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.05, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.084, -2\/3577, 24\/7?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1027*z + 1321*z + 2031*z to the form q + b*z and give b.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:45 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 464*b*l*v**2 + 28*b*s*v**2 - 2*b*v**2 + l*s + 2*s*v**2 with respect to s.\nAnswer: 28*b*v**2 + l + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0130263 - 0.013. What is p rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/328290 and -94\/105?\nAnswer: 2298030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 4 - 4 + (105 + 34 - 16)*(2*n - 2*n - 3*n).\nAnswer: -368*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s - 1. Let u be o(2). Let y(i) = -2*i - 1. Let z be y(6). Let r = z + u. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1385121 (base 9) to base 6\nAnswer: -24220501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 175*g. Let q(s) = -s**2. Give a(q(n)).\nAnswer: -175*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3603*v + 3607*v - o, v = -5*o - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlmdlllclddjllsl. Give prob of sequence mc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9670299 centuries?\nAnswer: 9.670299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(19\/3)\/m*m**28)\/(m**0)**(-3\/16))**(1\/22) assuming m is positive.\nAnswer: m**(50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.46? (a) -0.04 (b) -2 (c) 56 (d) 9 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62271\/13 + -4786. Find the common denominator of f and -27\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-24))\/21*(6\/(-5))\/(189\/18).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/v**(-2))\/v*(v*v*v**(1\/16))\/v*v)\/((v**(-4\/13)*v)\/(v*v\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(4703\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9529312 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13029 = -22*g + 3767. Let u = g + 425. Put 0.3, -3, 0, u in decreasing order.\nAnswer: u, 0.3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 + 5532*w + 5531 = 0. What is w?\nAnswer: -5531, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*p + 5*p. What is the remainder when p is divided by -4 + 2 + (-15)\/4*56\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/4 + 93*x**3\/2 - 7787*x**2\/4 - 5115*x\/2 + 23958 = 0.\nAnswer: -4, 3, 66, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75102, 150090, 224966, 299730, 374382, 448922?\nAnswer: 523350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o = 132*o + 2888232. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2. Let u be k(0). Let v = 0 - -5. Which is the smallest value? (a) u (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 7397548825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -713, -1144, -1577, -2012, -2449, -2888, -3329?\n\"Answer: -g**2 - 428*g - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94969.\nAnswer: 7, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-23))\/((-5)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5875.4764 rounded to the nearest ten?\nAnswer: -5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 2*s + 2*s + (3 + 1 - 2)*(s + 0*s - 3*s) - 2*s + 1 - 1 - s - 2*s + 5*s - s + s - 2*s - 1 + 2*s + 1.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -487577, 2 in ascending order.\nAnswer: -487577, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d - 5*c - 28, -5*d - 40 = 5*c. Calculate the remainder when 66 is divided by d - (-24 + (-3 - -1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a + 8. Let z = 11 + a. Suppose 0 = -c + 2*o + 13, 3*c - o = 25 + z. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*m - 15598 = 693*m - 178 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13600 or 475982\/35?\nAnswer: 475982\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872788147.\nAnswer: 947, 1977601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -15*h + 17*h - 18, 0 = 4*h + 7*x + 54 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-377)\/26 - (-1 + -14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 + -548461488356?\nAnswer: -548461488355.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 33*d + 152. Let w be q(37). Suppose -3*h + 3 = 2*y, 0 = 17*y - 13*y - w*h + 24. Sort 1, 6, y, 4 in decreasing order.\nAnswer: 6, 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 50 = -6. Solve -11 = k*f + 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n)*(7 + 10 - 2) + (-32*n - 88 + 88)*(-5 + 3 + 4 + (4 - 1 - 2)*(-3 + 1 + 3) - 1 + 0 - 1 + 5 - 2 - 2 + 3 + 6 - 5).\nAnswer: -222*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 41388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3\/d*d)**(-1\/8)*d**(-4\/11)\/(d\/d**(2\/11)) assuming d is positive.\nAnswer: d**(-37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 2 c when four letters picked without replacement from gcgggncccccgpc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27715 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 8*b**2 - 4*b - 9. Let f be q(-7). Suppose 16 = 4*d - f. Let n = d - 15. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q**3 + 0 + 0*q + 1\/24*q**4 + 137*q**2. Let a(g) = 2*g**2 - 52. Calculate m(a(h)).\nAnswer: 2*h**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -430 + 1252. Let w = -507 + y. Let r be 4\/(-18) + (-119)\/w. Put -2\/9, -2, r in decreasing order.\nAnswer: -2\/9, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -431*t - 47863. Determine a(-111).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 237*f + 147. What is the hundreds digit of r(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/(y\/(y*y\/y**(-4)*y)))\/(y**(3\/7)*y**(7\/4)) assuming y is positive.\nAnswer: y**(1121\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 2*l + 1. Let d = 7 - 8. What is the units digit of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stts when four letters picked without replacement from svtustemv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:20 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5 and 45\/565631?\nAnswer: 2828155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -25, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = -4. Let l = 4 - k. Suppose -2*d = -l*d + 27. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -909 (base 12) to base 4\nAnswer: -110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346 - -514. Let t be ((-12)\/20)\/(v\/(-70)). Factor 9\/2*z**2 - 27*z + 54 - t*z**3.\nAnswer: -(z - 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7796 - 8572.8. What is b rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7673, -24248, -58643, -119768, -216533?\n\"Answer: -1485*i**3 - 6180*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3.82 (b) 0 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310 or -216?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -287*y. Let q(g) be the third derivative of g**4\/6 - 2*g**2 - 831. Determine r(q(n)).\nAnswer: -1148*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318\/265*(-55)\/22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60339*g - 60505*g + 166 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 87866.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + 4*l + 2. Let r(b) = b**2 - 7*b - 6. Let i be r(7). Let p be k(i). Solve 4*c = p - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(252) + -5 + 2 + sqrt(252) + (1 + sqrt(847))*-6.\nAnswer: -54*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31347.11 kilograms?\nAnswer: 31.34711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23402\/3 + 7716. Let t = o + 86. Determine r so that t*r**3 + 2*r**4 - 2*r + 2\/3*r**5 - 2\/3 - 4\/3*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*-2 + sqrt(130))\/(sqrt(10) - sqrt(30)\/sqrt(27)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from {o: 1, b: 2, p: 1, z: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12992*f**3*h**3*w**2 + 1322*f**3 - 143*f**2*h**2*w**2 - 5*f*h**3*w**2 - 7*h**3*w**2 + 2740*h**2*w wrt f.\nAnswer: -77952*h**3*w**2 + 7932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16725*i**2 - 30*i - 14. Let k be a(23). Suppose 0 = -3*u + k + 27273179. What is u rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 1 - 2*t + 4 - 3*t.\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (8 + -10 + (-15 - -24)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 307591344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4851224 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 less than 1403\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 469.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 22*t**2 + 20*t + 4. What is s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118092125 divided by 1243075\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751 + 2*x**3 + 377 + 373 + 0*x**3 - 4*x**3.\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.2167 and -219.\nAnswer: -6617.4573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.0278 + 39.7944. Let s = z - -0.1334. Let u = s + 58.10000746. Round u to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/33 - 1) + 123\/270*3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-665)\/(-21))\/((-245)\/441).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -4*g - 0*g, -4*g - 11 = -x. Let f(w) = -3*w - 2*w + w**x - 4*w + 6 + 7*w**2. Calculate the lowest common multiple of f(-8) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3880875 and 11455.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n - 515. What is the smallest common multiple of 187 and b(-70)?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2771, 2780, 2789, 2798?\n\"Answer: 9*v + 2762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47923530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265408 and 128354.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593429.\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10653 is divided by 10290?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11961?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + a**4 + 2*a**4 - 2*a**4 + 50 + 2*a + 2*a**2 - a**2 to f + c*a**3 + i*a**2 + v*a**4 + u*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 3593.4.\nAnswer: -3593.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -4*b, 0*q + 15 = -q - 2*b. Put 6, 9, q in decreasing order.\nAnswer: 9, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/3072 and -83\/4992.\nAnswer: 39936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 6*a + 9. Let i be c(7). Suppose 16 = 2*t - i*y, 3*y + 24 = 2*t - y. Let p be (-6)\/10 + t\/(-10). What is the closest to -0.1 in p, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 1. Let s(l) = -7*l**3 + 2*l**2 - l + 3. Let t(z) = -6*i(z) - s(z). Let x be t(-6). Let v = -934 - x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51 - 2 - 24\/8. Let p be (w\/8 - 6) + 3\/(-4). Is (-6 + (-3089 - -2))\/(p + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9224008 is divided by 1879?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4507 - 22533\/5. Sort -1, 0.2, 2\/31, i in descending order.\nAnswer: i, 0.2, 2\/31, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 * 0.242.\nAnswer: -34.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 125*g + 145 = 129*g, -4*z + 191 = 5*g. Solve -z*l = -27*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(7))*-1 - (-3*(0 + sqrt(7)) - sqrt(7)))**2*-1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36) - (166\/(-18) + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3*i**2 + b**3 + 468*b**2*i**2 - 36043*b**2*i wrt i.\nAnswer: -8*b**3 + 936*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-18) + 3 + (-12423)\/3510 + 522\/3915\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from ppqccphpccpcqqh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**2\/2 + 2*s - 112. Calculate o(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 20\/3 (c) 520 (d) -1 (e) 209\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3 = 5*g, -4*g = 2*s - 5 + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 2*k + 12, 3*k + 4 = -2*f. Let u be 3*(-2)\/(-6) + f. Suppose -25 = -u*o + 35. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9317265 divided by 3105755\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2\/7 - 768*g\/7 - 49152\/7 = 0.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:57 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*w = 5*l + 525, -2*l + 5*w = 222. Let j = l + 102. Let o = 3.2 + -0.2. Which is the second smallest value? (a) -4\/3 (b) o (c) j (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 64*d + 1080. Calculate a(38).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -6*o + 26*o. Let l(z) = 12*z**2 + 22*z - 20. Is l(o) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n**3 - 5*n**2 + n + 145. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**(2\/27)*(t**10)**(-22) assuming t is positive.\nAnswer: t**(-5954\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 9*p + 53. What is w(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.20064\nAnswer: -0.080256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + 10 - (2 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.600933 to 2 decimal places.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2130 + -0.2\nAnswer: -2130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 20. Suppose -3*o = -g*o + 3. Solve -20 = t + o*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + b + 13. Let v(u) = -u**2 + u - 1. Let k(q) = s(q) - 2*v(q). Let c be (-4)\/6*3 + (-4)\/(-2). Is k(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2286218 times -32?\nAnswer: 73158976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 158*d**2 - 2547. Let l(w) = -316*w**2 + 5096. Let a(r) = -5*g(r) - 3*l(r). Differentiate a(z) wrt z.\nAnswer: 316*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6729183 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/92290 + 1871447\/7413378830. Let x = 357584128268907 - 861709808143682166391\/2409810. Let h = j + x. What is the common denominator of -91\/36 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*-1 - (-140)\/(-336).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 + (0 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 27*o**3 + 90*o**2 - 4*o - 120.\nAnswer: -(o - 2)**2*(o + 1)*(o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 8) to base 13.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26173574 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let i(j) = 2*j**2 + 3*j + 3. Let o(y) = y**2 + 2. Let q(v) = -v. Let f(x) = -o(x) + 2*q(x). Let c(w) = 3*f(w) + 2*i(w). Let m(p) = 7*p**2. Give m(c(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 4*x = 136, -5*x + 75 = 2*s. Suppose 4*y = -4*u - 44, s = -2*y - 3*y + 5*u. Let r(c) = -5*c - 1. Let a(t) = t. Determine y*a(k) - 2*r(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*c**3 - 2 + (-3*c**2 + 4*c**2 + 0*c**2)*(-3 + 3 + 2)*(-4 - 3*c + 5*c - 3*c) to j*c + a*c**3 + y + o*c**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2844747668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 102 + 15*k**2 - 22 - 6*k wrt k?\nAnswer: 30*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 45 = 10*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -277 - -128647?\nAnswer: 128360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965222297 + 1433*d - 965222297.\nAnswer: 1433*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 832493 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 12 + 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132170 equal to 132739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79 and -7.808.\nAnswer: 616.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3611064 and 1767?\nAnswer: 111942984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4 + 0 - 4*r + r**2 - 5. Let a be s(5). Let z(l) = 6*l + 2. Is z(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45.8 in 2\/13, 848, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 425107366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4, 57*u - 54*u + 4 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k + 79. Let x be m(-6). Solve 3*l + 4*o = -15, 18 = -3*l - x*o + 2*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + 97. Let n = -160 + 149. Let q be r(n). What is the greatest common divisor of q and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwccwwwwcwtwtcwcwcww. What is prob of sequence twwt?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3508 - -1467. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-24)*-1*2. Let u = 38 - a. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2707 - 2696. Solve -56*v + h = -45*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14741580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 > 268.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)\/(k**(-1)*k)*(k**(-2\/7)\/k*k)**(-2\/31))\/((k**(-1\/2))**(-31)\/(k\/(k**1\/k))**(-3\/47)) assuming k is positive.\nAnswer: k**(-992081\/61194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -692*h**2 - 16*h. Let k(p) = 3*p**2 - 2*p. Calculate 8*k(t) - y(t).\nAnswer: 716*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*n + 1932 + 984. Let g = -79 - n. What is x in 2\/7*x**3 + 1\/7*x**4 - 1\/7*x**g - 2\/7*x + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38176 or 38182?\nAnswer: 38176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w - 4. Suppose -1 = -i + 2. What is the remainder when 31 is divided by l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:31 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/21 + 39\/(-91). Which is bigger: 10\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 237970\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 2. Let m be p(1). Find q such that 9*q - 2*q**4 + 36*q**3 - 79*q**m - 45*q + 4 + 77*q**2 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*t - 113, -5*t - 2*d - 59 = -251. What is the remainder when 2847 is divided by t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.19, -2, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1992 + -1992.2. What is the biggest value in 2\/111, 0.5, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-4))\/(1 - 38\/32). Suppose -3*q = 4*m - r, 4*q - 3*m - 13 = -2*m. Solve -q*c = f - 15, -f - 4*c + 3 = -3*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64269.43mm to centimeters.\nAnswer: 6426.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 16*p**3\/3 - 6*p**2 + 17*p - 77. Is r(-6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -24 (c) 1\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/2090*-3)\/((726\/55)\/(-11)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(84)\/sqrt(7))*6 - (-1 + sqrt(1331) + sqrt(1331) + -2).\nAnswer: -16*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.7797265 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 33 - (-29 - -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 114?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**5 + 3*j**4 - 18*j**2 + 3. Let u(i) = 14*i**5 - 2*i**4 + 18*i**2 - 2. Let p(l) = -2*d(l) - 3*u(l). Find the third derivative of p(f) wrt f.\nAnswer: -960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100101001111000000 (base 2) in base 6?\nAnswer: 110333252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1 + 6*t**2 + 0*t**2 + 1. Let x(j) = -11*j**2 - 8*j + 16. Let r(y) = 7*y**2 + 5*y - 10. Let z(s) = 8*r(s) + 5*x(s). Give z(v(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31892, 31896, 31902, 31910, 31920?\nAnswer: 31932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -9 - -2 - (10 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 125*r**2 - 1917*r + 3168. Give m(75).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343\/568*-1*144\/(-132)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(-5)*(-2 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67188 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/((3568 + -3560)*(-10)\/(-144))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*x - 30, -53*o - 14 = -56*o + 5*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w*w\/w**(-1)*w*w)\/w*w)))**(-1\/26))**(-11\/6) assuming w is positive.\nAnswer: w**(55\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30960.18ml to litres.\nAnswer: 30.96018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)\/sqrt(2) - sqrt(15))*1)\/((sqrt(100)\/sqrt(2))\/sqrt(10))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65976011581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(1452))\/(sqrt(1584)\/sqrt(4)) + 5.\nAnswer: sqrt(2)\/66 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baafvkvavf. Give prob of sequence fabv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97580374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -36*y - 141. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303136 (base 9) to base 6.\nAnswer: -3502440","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.045 - -28.045. Let s = o + -27.8. Suppose 0 = -3*v + 4*y - 19, -3*v - y = -7*v - 21. Put -3, v, s in ascending order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2117, -3957, -5797, -7637?\nAnswer: -9477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 3. Let p be x(-4). Let k be 144 - 23\/(161\/(-42)). Calculate the highest common factor of p and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 8*l + 23. Let f(k) = 2*k**2 + 9*k + 30. What is 5*b(q) - 4*f(q)?\nAnswer: 2*q**2 + 4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/119 (b) -3\/4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqol. Give prob of picking 1 o and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from zffafzfzzzfzzf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17400, 78, 4, -2, -3, 1 in ascending order.\nAnswer: -17400, -3, -2, 1, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (47 - -2) - (-13 - 0) - 24\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390237 divided by 539.\nAnswer: 390237\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1863*p - 1863*p + 519*p**2)*(0*p + 2*p - 4*p)*(2*p - 3*p + 0*p) - p**3 + p**3 - 2*p**4.\nAnswer: 1036*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/((-343)\/14) + (-1990)\/(-7).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1263 (b) -0.3 (c) 5 (d) -0.5 (e) 14 (f) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3 + (-1 + 8 - 3)*(84 - 81 + 70))*(2*v - 3 + 1 + 0).\nAnswer: 588*v - 588","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - x**2 - 7*x + 16. Let k be w(-3). Let j = 139 - k. Let o = -6 + 18. Solve -j*u = -2*d + 2*u - 24, -2*d - 4*u = -o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = j - 630, -294 = -4*u - j + 210. Factor 5*n**2 + 88*n - 43*n - 104*n - u*n + 180.\nAnswer: 5*(n - 36)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00596 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11503 is divided by 1081?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(45\/(-270) - 13\/(-42)). What is the greatest common factor of 434 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 29 = -3*a + 36, 0 = w - 5*a - 25. Let f = -50 + w. Suppose m - 5 = 0, u + 2*m - m - 93 = f. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25539 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3565*f**2*i**2 - 11344*f**2 - 6*f - 9188*i**3 - 41 wrt i?\nAnswer: 7130*f**2*i - 27564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787653413?\nAnswer: 3, 7, 13, 47, 46441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 0*a**2 - a**2 + 30066*a - 612*a**2 - 30066*a - 2*a**2 + 3*a**2 - 3*a**2 + (-a + 6*a - 3*a)*(1 - 1 + 2*a) - 3 + 3 + a**2.\nAnswer: -610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7287 + -1?\nAnswer: 7286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15575)\/63 + (-4)\/(-18). Let v = u + 496. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 380*x + 2321. Let o be i(-6). Let h be ((-12)\/(-15))\/((-1)\/(-5)). Solve 5*f - 4*w - h = 0, -o*f + 2*f + 2*w + 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.3, 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59641583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 23. Solve -z - m = 5*j, -5*j + 2*z - 22 = -0*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 + 6*n**2 + 13*n - 18. Let v(d) = -8*d**3 + 4*d**2 + 12*d - 19. Let m(y) = -7*p(y) + 6*v(y). Let o be m(19). Solve j = -3*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1626\/1084*(-1)\/72.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6127 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*s + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0 + 2\/3*o**3 + 0*o + 1\/12*o**4 - o**2. Let u = -6389 - -6383. Determine v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 284272 = -j, 4*j + 58827 = b - 12258. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 50*n - 1958. Let v be m(40). Let d be 2*(-1 + 2) + 68. What is the greatest common divisor of d and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 152, 5, -14 in increasing order.\nAnswer: -14, 1, 5, 14, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 5*i. Let x be k(-5). Suppose x*l + 140 = 4*l. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/(-1 + 34\/33). Let b be (-3916)\/(-121) - (-12)\/k. Solve 4*u - 4*z = -b, 2*u - 5*u + 4*z = 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 4*z**2 - 7*z**2 + (2 - 5*z - 2)*(0 + 3*z + 0) + (4*z - 2 + 2)*(-z + 5*z - 3*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 + 3688320*x + 121709115 = 0.\nAnswer: -737631, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61 - (-64 + (-108 - -195))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040675 rounded to four decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 14664933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919 + 980 + 729 = -475*a - 222 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (0 + 8\/(-2)). Suppose 0 = 3*c - 4*r + 25, -v*c + 5*r - 35 = -0*r. Let i = 7 - c. What is the remainder when 49 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 35. Let u be v(9). Suppose -93 - 83 = -u*c. What is the least common multiple of 248 and c?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/120 + p**5\/10 - p**4\/4 - 3*p**3\/2 + 2*p**2. Let t = 43 + -49. What is the units digit of o(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 0 = 5*o - s + 14, -o = 4*o + 2*s + 2. Let r be 1 - ((-8)\/(-4) + -2). Put o, 2, r in descending order.\nAnswer: 2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3153*h + 4565*h + 1311*h**2 - 9076*h wrt h?\nAnswer: 2622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251937.6t in milligrams?\nAnswer: 251937600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 177.59? (a) 2 (b) -0.4 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 24 = 0. Let b = -6 + n. Suppose -40 = -3*p - b*p. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6*j = x + 10, -2*j + 4*x + 12 = 0. What is the closest to j in 2\/13, -0.2, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 1. Let p(v) = 31*v**2 - 3*v - 13. Let l(x) = -2*h(x) - p(x). Find the second derivative of l(d) wrt d.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 4*f. What is v in 2\/3*v**2 + f*v**3 + 0 - 2\/3*v**4 + 0*v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w + 1401610*w**2 - 1401607*w**2 + 32*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 16, -0.2, -310?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 37, 55, 73, 91, 109?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**2 + 5*s**2 + 5*s + 11 - 11 + 0*s**2 to b*s**2 + g + c*s and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 19 + 23 + 3*i)*(0 - 1 + 2 + 0 - 1 + 2 + 3 + 0 - 1 + (2 - 1 - 3)*(-2 + 1 - 1) + 3 - 2 - 3 + 3 + 1 - 1) as r*i + g and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56542278 + 2?\nAnswer: 56542281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.57 + 27.567362. Round v to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 22, 4, -0.109, -2\/19, 0.4?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 11782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 20 = -9*n. Solve n*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 26 (c) -0.6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -524726, 2 in decreasing order.\nAnswer: 21, 2, -524726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 35 + 7 + 2*w + 19.\nAnswer: 2*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1230, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3033 by -1.\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, 31\/5, -0.05, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -20*((-2)\/2 + (-63)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 42*m = 16. Let a be 2\/(-4) - (-22)\/m. Solve -h = 0, -1 = 2*y - 3*y + a*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-56)*43*114\/9804.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 4)*(4*k**2 - k**2 - k**2) + 19*k**2 + 9 - 160*k**2 - 8.\nAnswer: -143*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1127 and 6187?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 8*v + 91. Let w = -13 - v. Let f = 0.5 + 0. Which is the nearest to w? (a) 1\/4 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204925, -204910, -204895, -204880?\nAnswer: -204865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -2 - (-2 + 1). Let y = -5 - w. Let a = y + 5. Calculate the greatest common factor of 9 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + 72\/7. Let a = -8 + q. What is the smallest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 + -1061039876?\nAnswer: -1061040211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22196064.71 to the nearest 10000.\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*d + 5 = -605*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -184320 divided by 6144?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878, 1955, 2032?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-10)*1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 15*l = -31*l. Let r(p) be the third derivative of 0*p**3 + 0*p + l*p**4 + 0 + 2\/15*p**5 + 35*p**2. Let k(a) = -3*a. Give r(k(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 - 2*y - 12. Let q be i(-8). Solve 0*j - q = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-2\/13)*c)\/c*c)\/c**(-1)*(c**(-1\/2)\/c)**(-5\/2))\/((c*(c**(2\/21)\/c)\/c*c*c\/c**4)\/(c\/(c*c*c*(c*c**(-1\/3)*c)\/c*c))**46) assuming c is positive.\nAnswer: c**(-172717\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) + 24 + 7618\/(-312). Which is the fourth biggest value? (a) n (b) 1 (c) -2\/11 (d) -2638\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = -2*v, v - r + 0*r - 10 = 0. Solve 4*s + v = 0, 0 = -u + 4*s - 6*s - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*r = -12, -2*o = 3*r + 2 + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -142980178 and -52.\nAnswer: -142980230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*-6.64\nAnswer: 26.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - -275.\nAnswer: 275.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (38 - 21 - -1) - 21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/1)\/((-18)\/24). Is i\/6 - 763\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182278 is divided by 90190?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1350\/(-270) + (2\/(-2))\/((-2)\/12). Let o = 3 + -5. What is the nearest to f in -1\/5, 0.7, o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 3. What is the least common multiple of p(-5) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 + 11*b**4 - 75*b**3 - 427*b**2 + 490*b = 0.\nAnswer: -14, -5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -37078 smaller than -37112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 not equal to 6962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19920 and 6288.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 305790855 divided by 675035\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.038 - 0.038. Let o be 4\/((-4)\/3)*-3. Suppose -2*p = p + o. Which is the third biggest value? (a) g (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 3298 = -3100 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*z - 28, 0*z + 5*z = y - 7. Let p = y + -7. Solve -5 = 5*w - p*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019101 - 11933155900.\nAnswer: -11933155900.019101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12368739, 98949939, 333956053, 791599539, 1546092855?\nAnswer: 2671648459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*i = -2*i - 12, -3*u = 5*i. Let y(t) = -4*t + 6*t + u*t. Let z(d) = 2*d. Determine z(y(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1739487 is divided by 2748.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14060758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 54 = 10*u. Suppose v - 18 = -3*x, 5*x + u = 8*v - 7*v. Calculate the greatest common divisor of 846 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -22. Suppose y*z - 476 = -c + 321, c = 2. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*a - 89*a - 48 = 0. Let u(y) = -y**2 + 1 + 4 - 4 - y. Let p(v) = -v**2 - 6*v + 6. Calculate a*u(o) - p(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209110 is divided by 52272?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d\/d**(1\/9))\/(d*(d\/(d\/d**(-1\/4)*d*d)*d*d)\/d)**(-11\/3) assuming d is positive.\nAnswer: d**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -1 (b) -5\/2 (c) -1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3 - 15\/4*z**4 + 27\/4*z**2 - 9\/4*z**5 + 21\/4*z**3 - 3*z = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 65 + 257. Let s(q) = -51*q + 21*q + o*q - 11. Let y be s(12). What is the greatest common divisor of y and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbaubauyubabbbubba. What is prob of picking 3 a?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0211138 to 1 dp.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 - -100. Suppose 5*i + 2*b = -8, -7*i - o*b = -6*i. Let f(d) = -d**3 + 6*d**2 + d - 1. Let j be f(6). Sort 4, j, i in increasing order.\nAnswer: i, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5*v**3 + 134*n**5*v - 3*n**2*v**3 + 29*n**2*v**2 wrt n?\nAnswer: 60*n**2*v**3 + 8040*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -373*l**2 + 17. Let x(q) = -249*q**2 + 12. Calculate 5*t(i) - 7*x(i).\nAnswer: -122*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1195072 by 71.\nAnswer: 16832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -828? (a) 0.003 (b) -0.3 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let u = -1 - z. Which is smaller: -0.2 or u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.53 + 0.53. Let y(o) = -6*o**3 + o**2 + o - 1. Let i be y(1). What is the second smallest value in -2\/9, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**4 - 1122*m**3 + 19040*m wrt m.\nAnswer: -84*m**2 - 6732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*f - c + 3*c, 4*f - 48 = -4*c. Let i(m) = m**2 + 96*m + 190. Calculate the remainder when f is divided by i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-855)*1*(-33)\/(-13) and 103\/18?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -163016, 1, -16, 4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 458 - 383 = 0. Let u = -67 + 105. Let t = u - k. What is the smallest common multiple of 11 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4654 + -4424. What is the least common multiple of 1012 and c?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 3*t + 5*t - t + 0*t - t + (-111233 + 111233 + 86*t)*(5 - 1 - 2) in the form n + c*t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1335081909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -12)\/((-64)\/48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**5 - 2*s**5 + 2*s**5)*(3 + 1 - 3 + (2 + 2 + 4)*(8 - 4 + 10))*(-3 + 1 + 3).\nAnswer: 565*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -20*v**3 + 5*v - 14. Let x(k) = 10*k**3 - 3*k + 7. Let n(i) = -3*q(i) - 5*x(i). Differentiate n(m) with respect to m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g - 11. Let z be t(2). Suppose z*v - 2223 = 3*y, v - 2221 = -4*v + y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.5. Let d = s + 0.9. Sort 5\/4, -4\/7, d.\nAnswer: -4\/7, d, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 1660*z**3 - 137780*z**2.\nAnswer: -5*z**2*(z + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -4482861.\nAnswer: 3\/1494287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27058487 from -2733.\nAnswer: -27061220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + (-714)\/85 + 4\/10. Let n(y) = 5*y**2 - 5*y + 3. Let h(u) = -u**3 - 4*u**2 + 4*u - 2. Calculate x*h(m) + 2*n(m).\nAnswer: -3*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8528606587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10531.\nAnswer: 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 3 = -3*a, 3*f - 9 = -a. Put f, 2, 1 in increasing order.\nAnswer: 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.423189 + 0.0695?\nAnswer: -0.353689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21683*p - 86704. Calculate x(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101.74 - -0.4.\nAnswer: -101.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31445d (base 15) in base 9?\nAnswer: 4361277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 17, 91, 1\/4, 0.5, -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.8 + -33.2. Let f = -39 - m. Which is the biggest value? (a) -0.05 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 0*g**2 + 36 - 2*g**2 + 4*g**2 + 4*g - 3*g**3 - 6*g as o*g + b*g**3 + j + q*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00243494127 rounded to five decimal places?\nAnswer: 0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/24 - ((-3868)\/(-32) - 2). Let x be (-45110)\/(-14) + 17\/o. Let f = 5417 - x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757709?\nAnswer: 757709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.257 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560048 to the power of 1\/2, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + (0 - -4) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-42) + (-8)\/(-6). Suppose 20 = 4*g + 3*a + a, 10 = 2*g + 4*a. Suppose 0 = 5*z - 15 + g. Solve -14 = 5*x - 5*u + z*u, 16 = -5*x + h*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1224 - -1227. Sort 5, -2, 4, d in descending order.\nAnswer: 5, 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.5. Let t(k) = k**3 + 4*k**2 + 7*k + 8. Let m be t(-3). Let u be m\/(-3) + 14\/12. Which is the second biggest value? (a) -0.3 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314090 * 0.122.\nAnswer: -38318.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10080 and 3263400?\nAnswer: 13053600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742407459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffffmmffmmmmffffmfm. Give prob of picking 1 f and 3 m.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -734894*0.12\nAnswer: -88187.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31793 or 29344?\nAnswer: 31793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = j - 8*o, -2*j - 32 = 2*o. Let u be (j\/((-91)\/14))\/(8\/9). Find a, given that 3\/4*a + u*a**5 + 9*a**3 - 15\/2*a**4 - 9\/2*a**2 + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 - 8. Suppose 4*i - k*x + 12 = 0, -2*i + x = -3*x + 16. Solve i = -2*a + 4*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1811670 or -1811671?\nAnswer: -1811670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.71268 to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (9 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/6*84\/(-15). Solve -a + 11 = -2*d, -5*d - 2*a - i = -0*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 - 46*b + 887*b - 71 to the form l + h*b and give h.\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 210197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g + 20. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 798 + -792. Let j be (u\/9)\/((-42)\/27). Sort -3, -0.067, j, 0.\nAnswer: -3, j, -0.067, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, 1 l, and 1 w when four letters picked without replacement from wjmffffmjjfllml?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 194*p + 8692. Give u(-76).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -86041 divided by 5\nAnswer: -86041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*j - 5*t + 25 = -103*j, -8*j - 5*t - 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 1 - 1)*(0 - 4*z**3 + 0) + 2 + 10*z**4 - 2 to v*z**2 + b + d*z**4 + q*z**3 + s*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u - 4667 = -406*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-12)*1 + (-12)\/4. Put 3\/2, 0.4, k, -2\/5 in ascending order.\nAnswer: -2\/5, k, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:13 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Suppose -v*c - 160 = -6*c. Suppose -k - k - 2*s = -32, -3*k - 5*s + c = 0. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3590 + -541. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + 148. Suppose 0 = 3*t - 1007 - s. What is the remainder when t is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/8452120 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 2, d: 4, h: 2, i: 3, m: 2}. What is prob of picking 1 x and 3 i?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + 11*i + 6. Let s be v(-2). Let d be 6\/(-3) + (-32)\/(-14). Determine h, given that 0*h + 2\/7*h**s + 0 + 0*h**2 - d*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - 5598 - 13*u + 5630.\nAnswer: -u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167392.\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 127, 167, 191, 193, 167, 107?\n\"Answer: -d**3 + d**2 + 54*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -760*10266\nAnswer: -7802160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**18*l*l\/((l\/(l*(l**(-3\/4)*l)\/l))\/l) assuming l is positive.\nAnswer: l**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-204)\/119).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2773*m - 2696*m - 154 = 0. Let q(s) = -s**3 + 2*s**2 + s + 1. Calculate q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.7 - -17.7. Let u = 79\/9 + -1519\/171. Which is the nearest to -1? (a) u (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.695075 to 1 decimal place.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-3)\/(0 + -1 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 111*f - 116*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14604 (base 8) to base 15\nAnswer: 1e07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326851649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1973 + 997 + 985 + 124*r + (2*r - 2*r + 2*r)*(-1 - 2 + 1).\nAnswer: 120*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d - 4*d + 53361 = 0. Which is greater: d or -698?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 29.13. Let x = -1.17 - -1.3. Let c = w + x. Is c not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*l**3*r**2 - 3256*l**3*y**2 - 8*l**2*r**2*y - l**2*y - 323*l*r**2*y**2 - l*r**2*y wrt l.\nAnswer: -360*r**2 - 19536*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z**2 + 27*z - 48. Let t(r) = 7*r**2 + 12*r - 24. Calculate 4*g(v) - 9*t(v).\nAnswer: v**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1358, 1341, 1324, 1307?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1447*q - 3. Let v(j) = 4*j. Determine l(v(i)).\nAnswer: -5788*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9067, 9048, 9003, 8920, 8787?\nAnswer: 8592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5 - 8*r**4 - 16*r**3 + 64*r**2 + 32*r - 128 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d**4\/2 - 10*d. Let z(r) = -r**2. What is z(h(f))?\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 93 + 11 = 0. What is the hundreds digit of -1 + (-169)\/(-1) + d\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7915 + -12308. Which is greater: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and -50 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50728 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/((12\/36)\/(7\/(-42)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1590187km?\nAnswer: 159.0187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -441854676 + 1?\nAnswer: -441854675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -115. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10176.1 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -11, 4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 19 - 19)*(2*h**3 - 5*h**3 + 5*h**3 + 2*h**2)*(0 + 0 + 2).\nAnswer: 20*h**4 + 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 > 12.34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 1, n: 3, q: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 63\/224*(-64)\/(-24). Let d = 3 + -3. Put u, d, 4.7 in descending order.\nAnswer: 4.7, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 7 + 3*g**3 - 4*g**2 + (0*g**2 + 4*g**2 - 2*g**2)*(2*g + 2*g - 2*g) as a + z*g + v*g**2 + l*g**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) + 2 + (4*sqrt(1900))**2 - (sqrt(1900) + (sqrt(1900) + -3)*2)**2)*-1.\nAnswer: -13263 - 370*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9918*j. Let w(d) = 3*d. Determine w(x(i)).\nAnswer: -29754*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601546, 1203080, 1804606, 2406124, 3007634, 3609136, 4210630?\nAnswer: 4812116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 n when three letters picked without replacement from {y: 3, n: 2, a: 1, c: 1, s: 1, v: 8}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 24 + 1. Suppose 2*l - q = 5*x, -4*l + 4*x = l - 4. Suppose l = -5*c + 7 + 13. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:14 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1544\/579)\/((-56)\/2373).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**7\/42 + 7*r**4\/12 + r. Find the third derivative of p(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*m - 83*m + 8310. What are the prime factors of m?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104232, -208417, -312646, -416943, -521332, -625837?\nAnswer: -730482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 2 = 0. Let k be (-21)\/(-54) + s\/2. Let c = -15 + 12. What is the nearest to -0.1 in k, 2\/3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -362, -401, -476, -599, -782?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136552*f = 5*i - 136547*f + 55, -2*f = 3*i + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(468)*2 + ((-2 + sqrt(468))*3 - sqrt(468)) + sqrt(468))*4)**2*-1*3.\nAnswer: -1102464 - 24192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 14*j**2 + 25*j + 4. Let a be d(-4). Is (-465 - a)*(-10)\/15 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-5)\/2 - 27\/(-6). Let b(g) = -g**3 + 5*g**2 - 5*g + 6. Let i be b(z). Solve 0*f = i*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178.9981836 - -179. What is y rounded to 5 dps?\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -30, 4\/7, 4\/13, -4, -0.1, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 240\/(-36)*6\/(-8). Let g be (-1)\/(0 + (0 - -1)). Let j be (5 - 1) + 2 + g. What is the greatest common divisor of j and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1476 - -2998. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-11*((-16)\/88)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.02, 0.4, -4390?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*j - 8498 = -106*j + 22338 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96183 (base 13) in base 10?\nAnswer: -270507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:03 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2. Suppose 3*g - 4 = g - 5*o, -4*o + 8 = 2*g. Suppose 143*p - 144*p = -g. Let y(c) = 14*c**2 - 14*c**2 - p*c**2. What is q(y(f))?\nAnswer: -432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61.528754 and -2018.\nAnswer: -2079.528754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 21111*t**3 - 126657*t**2 - 189981*t.\nAnswer: -t*(t + 3)**2*(t + 63327)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = 2*g, -3*g + 34*h - 32*h + 22 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 1, w: 1, s: 2, k: 1, v: 1}. What is prob of picking 1 m, 1 y, and 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -1 - 5) + (189 - 117) + -6.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13787, -13793, -13799, -13805?\n\"Answer: -6*a - 13781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = x - 19, y + 5 = x - 2. Suppose -x*f = f, 3*z + 4*f = 12. Solve t - 20 = -3*u, 2*t = -2*t + z*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.51 - -0.444. Let u = a - 0.234. Put -0.6, -3\/4, u in descending order.\nAnswer: u, -0.6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:05 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o = 631 + 831 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -9, -0.2, 5, 5.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 520 = 7*y - 5*l, 513 = 5*y + 2*l. Let h = y - 17. What is the remainder when h is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 + -645?\nAnswer: -647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18 and 1.103682?\nAnswer: 19.103682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {a: 3, m: 2, f: 10}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 0.2 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14123 or -12\/7?\nAnswer: -14123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-8))\/(22\/(-176)). Suppose -2*h + 5*m = -113, m = i*h + h - 235. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - (-5 + (5 - 5))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5725*h + 12 = -5719*h + 2*k, 0 = 2*h + 2*k - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7160746529 plus 48?\nAnswer: 50.7160746529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e1e48 - 2?\nAnswer: e1e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*z**5 + 72*z**4 - 10*z**3 + 2*z**2 - 2*z - 25761 wrt z.\nAnswer: -1800*z**2 + 1728*z - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppoppzpopzzppzpoppo. What is prob of picking 1 o and 1 p?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 41*s + 116. Is 3 a factor of 17*s\/(-12)*-63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 450800?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*(-2 + -7). Let q = y + -5. What is the first derivative of 2 - n**q - 2*n**4 + 4*n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4505 + -4504.6261. Let b = 0.38 - l. What is b rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.92, 0, -5.2, -1\/2 in decreasing order.\nAnswer: 0, -1\/2, -4.92, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -100*o - 7191. Let n be y(-72). Solve 3*z - 3*d - n = 0, -4*z - 15 - 13 = 4*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -8\/15, 2\/7, 21859?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 3\/1558504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -208?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {u: 1, b: 2, a: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**4\/j))\/(j*j\/(j\/(j\/(j*j*j*j**(18\/7))))))**(3\/17) assuming j is positive.\nAnswer: j**(75\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 152, 3, -2\/5, 0.07, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from {k: 5, a: 1, p: 4, x: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let k(s) be the third derivative of 8*s**2 + 0*s - 1\/12*s**5 + 0 + 0*s**4 + 0*s**3. Give k(x(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.946 + -47. Let m = x - -11.554. Round m to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 12, -4, 2\/9 in decreasing order.\nAnswer: 12, 2\/9, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27809330.\nAnswer: 2, 5, 2780933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5708a1 (base 15) to base 10\nAnswer: 4153201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 84. Let d = g - 209\/5. What is the third smallest value in 4, 3, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33262 - 141?\nAnswer: -333a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -783379*s**5 + 14300*s - 11.\nAnswer: -15667580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 54970.\nAnswer: -13\/54970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) -22 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8448533959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q - 3. Let w(g) = 4*g + 1. Let n(b) = -2*k(b) - 6*w(b). Let l(x) = -x + 8*x - 11*x - 17*x. Determine n(l(m)).\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 50.00347 minutes?\nAnswer: 3000208.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.5 + -12. Which is the third biggest value? (a) -2 (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + m. Let d = 39 + -45. Let l be (-1)\/d - (-91)\/(-42). Put -5, l, m in decreasing order.\nAnswer: m, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-4)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -259 and 4.1?\nAnswer: -1061.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -216327c?\nAnswer: -216327b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/12 + u**4\/24 + 2*u**2 + 5*u. Let x(h) be the first derivative of a(h). Give x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**8\/112 - 2*p**7\/35 + 29*p**6\/40 - 7*p**5\/5 - 7*p**4\/2 + 16*p**3 + 7*p**2 + 5. Determine y, given that g(y) = 0.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2. Let o(l) = 9*l - 11. Let q(r) = -9*r + 10. Let w(n) = 8*n - 9. Let b(c) = -3*q(c) - 4*w(c). Let p(g) = 11*b(g) + 6*o(g). Determine p(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035619925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(0 - 2). Suppose -5*d + 80 = -5*z, 2*d + b*z + 0 = 32. Let m be 1\/(-3)*(-3)\/(-2)*0. Solve -4*f - d = -m*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*k - 3*k + 210, 0 = 2*k + 3*i - 79. Suppose 59*c - 44*c + 2550 = 0. Let b = k - c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 0. Let b be 7 + -1 - 6\/i. Solve 4*v - 22 = 2*y, 3*y - b = 7*y + 5*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540825 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {o: 1, m: 2, v: 1, i: 3, f: 1, h: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15884043 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 3*l + 18. Let a be n(-6). Suppose a = 12*w - 10*w - 38. Is (-1 + w - 4)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 13*i**6\/360 - 3*i**3\/2 - 9*i**2. Let t(g) be the first derivative of c(g). Let k(d) = -d**2. Determine t(k(s)).\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7270939.99902 - -7271054. Let r = 116.6 - 2.6. Let i = a - r. What is i rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 463, 2\/17, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13056 - -0.06944. What is the nearest to r in -1\/11, -2\/385, 1, -1\/5?\nAnswer: -2\/385","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -39*g + 0 - 1\/3*g**3 - 25\/2*g**2. Calculate f(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 2}. What is prob of picking 2 a and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -6*q + 732. Let k = q - 119. Solve -3*s - 5*c - 12 = 0, 2*s - 4 = 3*s + k*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-3 + 9 + -5). Let k = 2\/157 - 171\/1099. Are p and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -663 and -7.3?\nAnswer: 4839.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.1 (c) -7.408 (d) 3\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 80 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 749*a**3 - a**2. Let u be v(-1). Let n be (124\/6 - 4)*u. Round n to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 2466 = -16*b. Let n = 112 + b. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:05 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 1. Let r(v) = -v**2 + 18*v + 1. Let t be r(18). Determine o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2 - 2*i - 1. Let o(a) = -2*a + 3. Let h be o(2). Give n(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/9, -2\/5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14258.94 and -19.\nAnswer: 14239.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 168804.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-203)\/35 + 1345526\/70. Calculate the highest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 1 - 1)*(-163*j + 366*j + 93*j)*(-3 + 3 - 4*j) as t + u*j**3 + a*j + f*j**2 and give u.\nAnswer: -3552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 87*m**2. Let k(d) = d - 417. Give g(k(u)).\nAnswer: 87*u**2 - 72558*u + 15128343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.9584 - -55. Let a = p - 0.07. Let l = a - -0.028039. Round l to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w - 22. Let z be t(-12). Let u = z + 72. Suppose u*c = 6*c - 488. What are the prime factors of c?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8915, -24458, -46625, -75410, -110807, -152810?\nAnswer: -201413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 283256 - 3\nAnswer: 283253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1715, -2059, -11319, -26065, -46297, -72015, -103219?\n\"Answer: -2743*p**2 + 4455*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64743+-0.146015\nAnswer: -64743.146015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079035 rounded to three decimal places?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1010111100010011 (base 2) to base 10\nAnswer: 44819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/15)\/(2\/36000). Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -5*b. Find the second derivative of 7*j - 5*j**b + j**4 + j**4 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.504 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 2180620\nAnswer: 806829.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 12*t + 13. Let v(k) = 22 + 6*k + 3 - 2*k - k**2 + 20*k. Let c(w) = -7*j(w) + 4*v(w). Factor c(l).\nAnswer: 3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 19*u**6\/6 + 11*u**3\/3 + 4*u**2 + 9*u + 562. What is the second derivative of a(z) wrt z?\nAnswer: 380*z**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*p. Let l = 11 - 15. Let t = -3 - l. Put t, p, 0 in descending order.\nAnswer: t, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1445460?\nAnswer: -1445453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78, 316, 800, 1374, 2038, 2792?\n\"Answer: 45*f**2 + 259*f - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efh when three letters picked without replacement from {h: 1, f: 1, m: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 124*w - 1476. What is y(11)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/15*48440\/915516.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 19*f**2 - f + 6. Let t be a(19). Let z = t - -14. Which is smaller: z or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32 + -1 - (-5 - -8). Let v = -125 + 195. What is the greatest common divisor of v and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 105. Let i be (3\/w)\/((-56)\/(-60) - 1). Let o be (-1)\/(-9) + i\/(-81). Is 9\/22 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*t**5 + 4799*t**4 + t**3 + 14*t**2 + 133277.\nAnswer: 5520*t**2 + 115176*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13534224 and -0.15.\nAnswer: -13534224.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {e: 2, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, -60, 1, -9 in decreasing order.\nAnswer: 3, 1, -2, -4, -9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2328, 3105, 4422, 6279, 8676, 11613?\n\"Answer: 270*v**2 - 33*v + 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -7*o**3\/6 - 7*o. Let b(n) = -n - 5. Suppose u + 5 + 0 = 0. Let z(i) = 2. Let p(h) = u*z(h) - 2*b(h). Give x(p(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -91. Solve z = -2*i + 7 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2651*b*h**2 + 959*h**2 wrt b.\nAnswer: 2651*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -5 (b) 1745 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3 + 16521528*d**2 - 132172128*d + 264344192 = 0.\nAnswer: 4, 8260756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.89 to 0 decimal places.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -5*u**2\/2 - 2*u - 4. Let v(z) = -6*z + 471. Let j be v(79). Give y(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -380. Let y = -2.6834 + -159.3066. Let q = y - l. Round q to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 999204336 divided by -26856\nAnswer: -37206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84884, 84882, 84880, 84878?\nAnswer: 84876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalaaaa. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - r = 1, -4*r = y + 21. Let u = -0.37 - -0.02. Let z = -0.45 - u. What is the nearest to y in 0.1, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(245) - (sqrt(245) - (sqrt(245)*2 + sqrt(245))) - sqrt(245))*-6)**2.\nAnswer: 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, q: 3}. What is prob of picking 3 e?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38370490 less than -1?\nAnswer: -38370491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-102)\/(-170))\/((-27)\/(-198)*11))\/((-18)\/(-65)).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 180.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17747 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2164 + 2163.5. What is the third biggest value in -0.03, 54\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -794628\/3541 + 22357941757\/100189054. Let d = -2\/329 - x. Let u = 874\/559 + d. Find the common denominator of u and -55\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -3*x - 2*f, -3*f + 7 = -5*x. Let p(r) = r**2 - 4*r - 4. Calculate the remainder when (28 - 1) + (1 - -1) is divided by p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57571.01067 to the nearest one hundred.\nAnswer: -57600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - 337\/(-3). Let c(u) = -u**3 + 11*u**2 - 2*u + 15. Let b be c(11). Let k = 9 - b. What is the highest common factor of r and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.5502 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-35)\/(-1452)) + 32\/(-80). Let z be -2*(-1)\/(5\/h). Let l = 495 - z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-39)*(-6)\/(-4). What is the nearest to n in -2, 0, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by -18.\nAnswer: 286\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 88*g**2. Let d(v) = 4*v + 4. Let h(w) = -5*w - 5. Let c(t) = -4*d(t) - 3*h(t). Let u(k) = 8*k + 6. Let s(l) = -6*c(l) - u(l). Calculate q(s(j)).\nAnswer: 352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12650 + 3857 + 33337 - 2342 = -819*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3906\/49)\/(3\/126). What is the highest common factor of 108 and c?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 5. Let j(f) = 6*f + 106. What is -j(s) + 12*z(s)?\nAnswer: -54*s - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -12. Let c be -4 + 12 - x\/1. Calculate the highest common factor of c and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/5 + -2 + 0. Suppose -y*q = -p + 2, -3*p + 3 = -3*q - 3. Find the second derivative of -8*v - v**2 + p*v**2 - v**2 + 9*v**5 wrt v.\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*r - 80. Suppose r = 5*k - 22. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020110220102 (base 3) to base 15\nAnswer: -d039b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 440 + -3074\/7. Factor 6\/7*l**4 - 4\/7*l**2 - 4\/7*l**3 - 2\/7*l**5 + m*l - 2\/7.\nAnswer: -2*(l - 1)**4*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 15975*t - 95702. What is h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5353 + 5027 = -242*p - 1234 - 2 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*h, -3*h = 3*b - 6*b - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 26 - 26. Let b(o) = 4 - 3*o - 4. Calculate b(s(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, 1, -1, -28, -5 in ascending order.\nAnswer: -48, -28, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/(42\/(-63)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**27\/m*((m**(-20)*m)\/m)\/m)\/((m**5*m)\/(m**6\/m)) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeldededel. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 5*f + 4. Calculate i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.8267 to 1 dp.\nAnswer: -56.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3349*w + 96 = -3445*w. Is 1\/25480 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 68 = -2*y. Let i = y - 20. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by 5\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 11*k**2 + 9*k - 13. Let h be z(-10). Find the common denominator of (732\/(-40) + h)\/3 and 7\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 5. Let h be t(4). Let v be -9*(1 + -2)*1. Let m be (-1)\/(h + v\/(-3)). Put -1\/5, m, 0.4 in decreasing order.\nAnswer: 0.4, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -abf?\nAnswer: -ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/96)\/((-5)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 n when three letters picked without replacement from nninrirnnniinb.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1166*t - 14. Suppose -7*u + 2*u = 5, -3*u = 5*b - 2. What is the hundreds digit of m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 13*x + 21. Let u be z(-11). Put 2, -12, u in increasing order.\nAnswer: -12, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016044 to five dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 248755290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - a + 3 = 2*a, 5*n - a + 17 = 0. Let h = 14 + n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -36219759?\nAnswer: -36219759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 6. Let d(y) = -5*y - 5. Let k(g) = -3*a(g) + 4*d(g). List 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 the highest common factor of 5250 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 0, 4, -4 in descending order.\nAnswer: 4, 0, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 3 - 6 + 2 - 4*b**3 in the form q*b**3 + d*b**2 + g*b + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 6, 64, -14, -3.\nAnswer: -14, -8, -4, -3, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0 - 1\/24*l**4 + 0*l - 1\/6*l**3 - 3*l**2. Give p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-100)\/(-26) + 22\/(-1287)*-9. Solve 10 = 5*i, -13 = -4*k + x*i - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - 4\/24*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 3*v**7\/70 - 8*v**3\/3 - 2*v**2. Differentiate i(z) wrt z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -84*w - 37. Let i(l) be the second derivative of 14*l**3\/3 + 6*l**2 + 48*l. Let r(n) = -8*i(n) - 3*u(n). Find the first derivative of r(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 188420, -2, -0.047, -1?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 243413 = -u + 243411, 0 = 3*g - 12 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 305 - 705. What is the remainder when v is divided by 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 10*v + 2. Let o be k(-10). Suppose 0 = 2*a - 126 + 52. Solve 5*u - o + a = -4*d, 0 = -4*u - d - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**4 - 98*h**3 - h**2 - 1161*h?\nAnswer: 192*h - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20053358401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2605 - (-5 + -1 + 0). What is the units digit of (-71)\/213 + s\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -172, -555, -1298, -2521, -4344?\n\"Answer: -20*g**3 - 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 37*s**2 - 30*s + 107. Let o be d(36). Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -116, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 85*a - 131. What are the prime factors of v(30)?\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16973275 and 6655.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + (sqrt(135) - -5*1*sqrt(135)) + sqrt(135))\/(sqrt(225)*-1))\/(-2*(-1*(sqrt(5) + sqrt(5)*-2) - -5*1*sqrt(5))))**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y + 36 = 10, 4*y = 5*q - 151. Let b be (-4)\/9 + (-114554)\/(-369). What is the greatest common divisor of q and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/(-5)*(-16)\/9. Let j = 73\/5 + z. Calculate the common denominator of j and 43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 28*u - 14. Let q be z(-24). Which is bigger: 83 or q?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j + 2*j - 2*j)*(0 - 1 + 3) - 5*j + 4*j + 3*j - j + j + 2*j - 3*j + j - 4*j)*((-5*j + 3*j + 3*j)*(-4*j + j + 4*j) + j**2 - 3*j**2 + 0*j**2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Suppose -k + 9 = -r*k. Let g = k - -5. Solve -21 = 3*h - 3*y, g*y + 3 = -h + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11620)\/(-1162) - 754\/76.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 3 (c) 0.304\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -106908*x - 427622. Calculate b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45330202 - 461?\nAnswer: 45326411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 184. Suppose 0 = -i - 3*i + b. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*s + 13 = 43, 3*j = s + 30. Suppose 0 = 5*a - 4*q - 10, -3*a - a - 5*q = -49. What is the least common multiple of a and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2 + 6*p + 17. Let u(q) = -q + 3. Let l(h) = -4*g(h) + 7*u(h). Determine l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20167409?\nAnswer: 151, 133559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 16178.467283 to 1 decimal place.\nAnswer: 16178.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-682)\/(-55) - 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161\/52 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 2 + 6*j - 6*j**2 - 4 as a + b*j**2 + p*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 + 133. Is (-8778)\/(-48) - d\/8 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:01 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139879, 139874, 139869, 139864, 139859?\nAnswer: 139854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(684) - (-3 + sqrt(684))*4) + 3 + (-4 + sqrt(684)*-3)*-1 + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11))**(-49)\/(f**(2\/31)\/f**28) assuming f is positive.\nAnswer: f**(17575\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -712 (base 9) to base 3.\nAnswer: -210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10) - (2 - (-264)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -1371, -2080, -2813, -3576?\nAnswer: -4375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, -75935 in descending order.\nAnswer: 26, -1, -75935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*sqrt(475)*-2 + sqrt(475) + sqrt(475)*-2 + -2)**2.\nAnswer: -230874 - 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 23*a - 18. Let q be c(22). Let i(y) = 3*y - 12. Let k be i(q). Which is greater: -2\/163 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 7. Let g be u(-5). Let c = 7 + g. Let v = c + 35. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, b: 1, a: 2, e: 1, x: 2}. Give prob of sequence ea.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 + 23*g - 78. Let n be l(8). What is the third smallest value in 0.2, 8, -5, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j + 51. Let u(n) = -1. Let i(q) = 18*u(q) + x(q). What is the first derivative of i(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 3*a + 16 - 4 - 7 to the form q*a + u + z*a**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 128*s - 899. Let r be n(-56). Which is the third smallest value? (a) -2 (b) 611 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 16*p + 7. Let c be i(2). Let d(b) = -b**3 + 3*b**2 - b. Calculate d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-1178))\/(2\/4)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from etmeermmeetme.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u - 10. Let j be o(7). Let h be (-14)\/(-21) + (-184)\/j. Suppose h = -0*c + 2*c. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/20 + c**4\/6 - c**3\/6 - c**2\/2 - c. Let j be h(2). Does 3 divide 6\/j - (-5)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 58*h**2 - 19*h + 2. Let s be n(-18). Suppose -5*k - 3*w + s = -2*w, -5*k - 3*w = -19138. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(312))\/((sqrt(90)\/sqrt(3))\/sqrt(5)))**2 + 4.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 2, y: 4, w: 3}. What is prob of sequence mwy?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - a = -2, 2*r - r - a - 6 = 0. Differentiate 1 - 2 + 2*h**r + 0 - 3 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - 2*h**3 - 4*h**3)*(-5 + h + 5) + 5*h**4 - 2*h**4 - 2*h**4 + (-4 + h**4 + 4 + (-4*h**3 + h**3 + 2*h**3)*(-2*h - 4*h + 4*h))*(-19 - 13 + 49).\nAnswer: 51*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231b9 (base 15) in base 5?\nAnswer: 12034044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + sqrt(637)*-3)**2.\nAnswer: -56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.7 - -1.7. Which is the biggest value? (a) 4 (b) w (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17892 divided by 14\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + 0*n**2 + n**2)*(4502 - 471*n**2 - 4502) + (0*n**3 + n**3 + 0*n**3)*(3*n + 2*n - 4*n) as h*n**3 + j*n + x*n**2 + a*n**4 + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 10.471444654723.\nAnswer: -10.971444654723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/21 or 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 597 = 3*u, -5*t + 2*u = -995. Let b = t - 52. Let f = -16 + b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 573 divided by 191\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252027 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: 14611*3.83\nAnswer: 55960.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + g - 3412 = 0, 0 = 3*f - g + 4*g - 2040. Let x = f + -1391\/2. Let c be -1 + -15 - (0 + -2). Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -53\/5. Let p be (6\/9)\/((-4)\/(-18)). Let s = 3 - p. Is s <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 28 + 11)*(-1 + 0 + 2)*(2*t + 2 - 2).\nAnswer: -116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + 38. Let i = t + -37. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1694 - 1686. Solve 0 = -5*d + 5*o + 3 - q, 0 = -3*d - 5*o + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37157 + 0.3750273. Let h = k - 3.0034551. Let r = -3 - h. Round r to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 200077559, 200077556, 200077553?\n\"Answer: -3*y + 200077562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*4*sqrt(132) + sqrt(132) + 4*sqrt(132)*-4)\/(sqrt(108) + -2*sqrt(108) + (sqrt(60)\/(sqrt(5) + sqrt(5) + sqrt(35)\/sqrt(7)) - sqrt(12))).\nAnswer: 105*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4866 + -4866.064. Put u, -4\/11, -0.4, 0.4 in ascending order.\nAnswer: -0.4, -4\/11, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d + 110. Calculate s(15).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2576, 20724, 70220, 166814, 326256, 564296, 896684?\nAnswer: 1339170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 185, 436, 805, 1304, 1945, 2740, 3701?\n\"Answer: 2*f**3 + 41*f**2 + 8*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175107 and 27?\nAnswer: 1575963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7\/(-42) + (-109)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3 - 47) + -677 + 707?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 767170 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/9 (b) 1\/4 (c) -6\/17 (d) -11 (e) 0.1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6298 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62238?\nAnswer: 2, 3, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.01 + 8. Let i = x - -2.01. What is the closest to -2\/3 in i, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.83 - -314.17. Let x = 315.0287 - i. Let p = x + -0.02870501. What is p rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322\/13 or -25?\nAnswer: -322\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8993452726 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 81 = -12*z. Let m(y) = -13 - z*y + 13. Let n(c) be the third derivative of -c**5\/60 - 10*c**2 + c. Determine n(m(h)).\nAnswer: -729*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2. Let s(d) = d**3 - 4*d**2 + d - 2. Let w be s(4). Determine n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-3)\/((-1410)\/(-105) + -13) + 36121\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.53 times 0.3?\nAnswer: -21.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**4\/4 - y**2\/2 - 7*y - 117. Let n(i) = -i**3 - i - 1. Calculate -m(a) + 5*n(a).\nAnswer: -2*a**3 - 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - n, -2*h + 4*n + 64 = 0. Let a = h - 24. What is the remainder when 9 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 - 5*x**3\/6 - 4*x**2 - 3*x. Let p be h(6). Put -4, 0.2, p in descending order.\nAnswer: 0.2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*p = -4, -2*s + 259*p + 1 = 258*p. Solve s = 18*i - 53 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.526409 rounded to two dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 7 - (0 + -3). Solve s*y = 4 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812553?\nAnswer: 2812553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-242\nAnswer: -241.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x + 5. Let d be g(5). What is the biggest value in 0.4, 1\/3, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:19 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512401 a multiple of 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 165 = p. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 695\/11. Let m = -1476 + 1475.6. What is the second biggest value in 0.4, m, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-1)*((-168)\/(-14))\/24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 21 = -5*y, w = -y - 2*y + 1. Let i(a) = -a**2 - 13*a - 20. Let k be i(-11). Let n(g) = g**2 + 4*g + 1. Let j be n(-3). Sort j, k, y.\nAnswer: j, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66336*0.0775\nAnswer: 5141.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708324 is divided by 236107.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176045007 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 205?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 39*j - 35*j - 2494 = 3*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/1239 and -35\/27?\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49812*y - 29933*y + 72463*y + 24732*y.\nAnswer: 117074*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -29, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76229322319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45654855 divided by 9130971.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14820655 + -8421?\nAnswer: -14829076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 3. Suppose 0 = 2*k - 3*t, -t + 4 = t. Calculate the remainder when x is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 14012.7\nAnswer: -14012.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))\/(t*t**(-2\/11))*t**1*t\/(t*t**(1\/3)) assuming t is positive.\nAnswer: t**(74\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 8*v - l + 35, 5*l = 4*v - 34. Let i(c) = 3*c - 45. Give i(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 1992*b - 330672.\nAnswer: -3*(b + 332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 2*x**2 - 3*x + 3. Suppose 2*c + 0 = 2. Let i(o) = o. Let v(k) = 4*k - 1. Let a(w) = c*v(w) - 3*i(w). Determine -3*a(h) - t(h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**5\/2 - 2293*b**4 - 31721*b**3\/2 - 18238*b**2 + 21806*b + 26480 = 0. What is b?\nAnswer: -5, -2, -1, 8\/7, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*j - 402596*j**2 - 306*j.\nAnswer: -402596*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r + 49 + 31 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -68 in descending order.\nAnswer: 1, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -329*c**2\/2 + 2*c + 7. Let k be d(-6). Suppose j + 3824 = -k. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 19*c + 5*j = 49 + 19, 2*c - 36*j + 212 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s - 5*g - 218952, 0 = 4*s - g - 291953. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1441*m - 312 = 183*m - 7296 - 3080 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.07 (b) 0.1 (c) -1 (d) -475 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2370 and 750810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 3) + -1 + 3. Let g = m - -2. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*h - 3, -2*h - 2*v - 1142 = -1144 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 2, 8, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*d = -3*l + 6, 2*l - 2*d = 8. Let m be 1 - -2 - (6 - l). Is 0 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 43. Suppose -4*t - 146 = -5*k - 3*t, 0 = -k - 5*t + h. Suppose 5*v + 25 = 0, -4*a + 5*v + k = -0*a. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/(-1*1\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*f + 31*f = 29*f - 17172. Suppose -4*q + 5*p - 35 = -158, 5*p + 59 = 2*q. Calculate the remainder when f is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47844 divided by 9?\nAnswer: 5316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 4*t + 2. Let n be s(-4). Suppose -n*l = 37 + 5. Let i = l + 29. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 32 - 59 = c, -15*a - 1223 = -4*c + 38*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02055032 and 3.\nAnswer: 0.06165096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -383*s - 2768. Let g be o(-5). Which is smaller: -852 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/120 + p**5\/12 + p**4\/12 + 5*p**3\/6 + 3*p**2. Let t be i(-5). Let n = t - 0. Round n to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1709.95 tonnes to kilograms.\nAnswer: 1709950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*i - i. What is the least common multiple of 8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -304453?\nAnswer: -304444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.1 (b) 1\/168 (c) -3\/8 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/639 or 1?\nAnswer: 34\/639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 26*n - 377. Let c be u(15). Let k(i) = -4*i + 58. Determine k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -36*f + y + 109, -f + 5*y = 1. Let s(p) = -7*p - 187. What is s(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + i = 0, -2*v + 5*i = 2*i + 10. Let f(s) = 10*s**2 + 6*s - 13. Let k(q) = q**2 + q - 1. Let o(y) = v*f(y) + 18*k(y). Factor o(d).\nAnswer: -2*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from ttttttttqqt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 51 - 39 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 5, i: 1, h: 1, q: 7}. What is prob of picking 1 i and 1 q?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -21, -0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(2736) - sqrt(209)\/(sqrt(11) - -1*sqrt(11))) + (2*sqrt(76)\/sqrt(4) - -2*sqrt(76)))**2.\nAnswer: -35*sqrt(19) + 23279\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*w - 215*w - 177031 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003198 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose -29 = -i*h + 5*r + 7, -12 = h + 4*r. Solve h*l + 12 = 2*o, 2*o + 2*l - 7 + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (16 - 11 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78, -15, 80, 201, 342, 497, 660, 825?\n\"Answer: -w**3 + 22*w**2 + 4*w - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -p + 5, -3*p + 10 = -4*s - 5. Suppose -p*b = -3*o - 5928 - 7597, 0 = -b + 3*o + 2705. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 0, 0 = -9*g - 5*v - 50 + 145. Suppose -321 = -2*d - 105. Calculate the remainder when (24\/9)\/(6\/d) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 17*r - 2 + 1 - 20*r + 32*r**4 - 1 as h*r**3 + x + m*r + d*r**2 + f*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78361?\nAnswer: 23, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14428578 is divided by 4809526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*z = -53473 + 5810 - 13996 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147128591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9028213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*h + 4*h. Suppose 4*u = h*u - 5*z + 13, 2*z - 14 = -3*u. Suppose -u*g - 3*l = -0*l - 72, -l = 3*g - 59. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -29380 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 4.12.\nAnswer: -3.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20642211 + 1201?\nAnswer: 20643412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 15. Suppose 4\/3*p - 2\/3*p**2 + 8\/3 - 1\/3*p**w = 0. Calculate p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*t = 294*t + 3754 - 10750 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 36*g**2 - 2*g - 19. Let m = 943 - 963. What are the prime factors of k(m)?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + o + (o - o - 2*o)*(0 + 1 - 2) + 0*o - 2*o + o - 15*o + 6*o - 4*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2\/5*w + 2 + 7\/10*w**2 - 3\/5*w**3. Determine b, given that a(b) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*t + 2 = u, 0 = -5*u + 3*t - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:00 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.08 + 0.81. Let z = 1.73 - j. Which is the closest to 3? (a) -4\/7 (b) 0.19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -283 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/80*5\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122\/5458589 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 23*w - 14 = 3*q - 65, 27*w = 3*q - 435 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 194 - 179 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, b: 4, g: 3, s: 1, m: 3, y: 1}. What is prob of picking 1 f, 1 g, and 1 b?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k + 6. Suppose -4*r = -r + 9. Let b be z(r). Calculate the common denominator of (28\/15)\/((-8)\/100) - b and 83\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = -4*x + 36, 0 = 4*x - 16. Suppose -m + 26 = -4*g + 9, -4*m = 5*g - l. Let y(v) = -v + 7. What is y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*1)\/(sqrt(363) + -2*sqrt(363))*5*2.\nAnswer: -50*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -608 (b) 2\/203 (c) -0.198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2767 and -6055.38.\nAnswer: -6055.1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -500300 divided by -10006?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/340 and 2529*9\/(-8640) - -3.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1067\/1552)\/(1\/16))\/(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 9*i**3.\nAnswer: 3*i**3*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*q + 28470, 4*t - 25977 = 5*q + 11983. Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, -1\/3, -9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -9 - 0. Let j be 3\/(30\/l - -3). Let g = j + 15. Calculate the lowest common multiple of g and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501 + 501 - 367*h.\nAnswer: -367*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -22*h + 65. Suppose 125 = h*s - 18. Solve -4*y = -b - s + 2, b = -y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 11\/2*h**2 - 5*h + 4. Let f(t) = 0 + 5*t + 1 - 3. Determine -9*f(z) + 4*p(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.09.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444250 is divided by 222023?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.3. Let v = -1.75 + 1.86. Put l, -1, 4, v in ascending order.\nAnswer: -1, l, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + m = -m - 61, 0 = 5*i - 3*m - 101. Suppose -4*d + i = 7. Does 25 divide 361\/d + (-28)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.429 + -7.471. Are -3 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140*b = 4280*b - 36341 - 126259 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5831.5022 - 5832. Let y = 0.0022 - h. Sort 4\/3, y, -1\/2, -1 in decreasing order.\nAnswer: 4\/3, y, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284*k**2 - 3*k + 666 with respect to k.\nAnswer: -568*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:49 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 16. Let n be (4\/q)\/(8\/(-84)). Let u = n - 4. Solve 0 = 3*y + u*r + 3, 3*y - r + 7 = -0*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3424 + -1958. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:51 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18235528?\nAnswer: 2, 1217, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmcw when four letters picked without replacement from cwcgwumumwmw?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-130\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j\/j**(-5\/3)*j*j))\/(j*((j\/j**(-12\/11))\/j)\/j))\/(j**1*j**(-3)*j))**18 assuming j is positive.\nAnswer: j**(-1140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 117 = -40*b + 45*b, 0 = z + 4. What is the greatest common factor of 13787 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 13*r**2 + 16*r - 54. Let y be f(-11). Suppose -15 = -5*v - 0. Calculate the highest common factor of y and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 1 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(637) - (sqrt(468) - (1*sqrt(468) - sqrt(468)))*4.\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102202011 (base 3) in base 13?\nAnswer: -3b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 + 3*y - 60*y**2 + 62*y**2 - 2. Let s be i(-3). Suppose s - 14 = -2*x. Does -2\/23 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.63969916 + -45.6397. Let z = -0.06 + -1.94. Let j = q - z. Round j to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 4*a + 2. Let r be 2\/(4 + (-110)\/25). What is f(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2588952 divided by -24.\nAnswer: -107873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30)\/((-42)\/(-24))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2)*(-4)\/(-6). Suppose -k*s = -6*s - 3*w + 68, -2*w = -s + 28. Calculate the least common multiple of s and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 189*z**2 - 351*z**2 + 2165*z + 162*z**2 to p*z + c*z**3 + h + n*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2\/5 - 321*b = 0.\nAnswer: 0, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -6 - -3 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d. Let j(o) = -36*o**2 - 7*o. Let q(z) = -j(z) - 2*l(z). Find the second derivative of q(g) wrt g.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-27)*18*(-2)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40\/9, -0.4, 0.016, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/18*-206)\/(1\/(-6)). Calculate the common denominator of 15\/11 and (1652\/n + -4)*-15.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*o - 14 = 0, 21*g - o - 96 = 25 - 20 + 20 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 10*h - 105 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 80492*m**2 - 5649140*m + 98945700.\nAnswer: 4*(m - 35)**2*(m + 20193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 9*m**4 + 8*m**4)*(-4 - 2 + 1).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 4a6887b?\nAnswer: 4a68861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**4 - 177590*s**3 - 2663100*s**2 - 13314250*s - 22189375 = 0.\nAnswer: -35503, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19921 - -31218. Is 79 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.627, 5, 4, 3, 86, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.3. Let p = -38472 + 38472. Sort -2\/7, t, 4, p in decreasing order.\nAnswer: 4, p, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 10*z**2 - 53*z - 19. Let u be d(-7). Which is greater: 501 or u?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**2 - 2*z + 3. Let i(w) = 7*w**2 - 9*w. Let n(s) = 9*s**2 - 8*s + 1. Let r(k) = -4*i(k) + 5*n(k). Give -7*g(y) + 4*r(y).\nAnswer: 5*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2010)\/(-150) + (1 - 13)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/1 - (2 - 3 - -5). Suppose 5*v = -2*g + 43, 3*v - 1 = 5*g - s. Let w = 142 + g. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-14) + (-1727217)\/(-119) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 6*h + 8. Let b be i(-5). Suppose 3*g - 8*g = q - 283, 0 = -q - b*g + 289. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -140*q - 147. Give z(-2).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 20*g**2 + 629*g - 5. Calculate w(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 5 = 53 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59261684 to the power of 1\/2, to the nearest integer?\nAnswer: 7698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1 (b) 1 (c) -1\/7 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, -0.3, -0.1, -2182.4 in ascending order.\nAnswer: -2182.4, -0.3, -0.1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*r + 525 - 525 + (5*r - 3*r - r)*(-3 + 1 + 1) - 1 - 2*r + 1)*(2*r**4 + 3*r**3 - 3*r**3).\nAnswer: -334*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 669*o**2 + 546*o - 11. Let j(b) = -2*b**3 - 335*b**2 - 273*b + 6. Let d(y) = 11*j(y) + 6*u(y). Find the second derivative of d(l) wrt l.\nAnswer: 12*l + 658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 416\/(-36))*-9. Let r = -155 + d. Let y(h) = -3*h**2 + 1. Let z(f) = -7*f**2 - f + 3. Let n(o) = -5*y(o) + 2*z(o). Give n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49528 and 1157264.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*r - 52845 + 3661 - 49659 = 20956 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 3*h**3 - 4*h**3 + h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 - 3*n**2 - 3*n - 1. Let d be s(3). Let c be (d - (2 - -3))*50. Round c to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7 (c) 2\/5 (d) 2\/107 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l + 2*n - 14, 4 = -4*l + 4*n. Suppose r + l*h - 30 = 0, 3*h + 51 = 3*r + 2*h. What is the highest common factor of r and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*g + 24 = g, -g + 43 + 8 = -6*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 224216000 rounded to the nearest 1000000?\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 222\/7 - 24\/(-84). Suppose -f = -3*f + n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5229 - -5334.55. Let k = 105 - r. Let t = -0.45 - k. Which is the nearest to t? (a) 4 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5 - 631*n**4 + 4474*n**3 + 5104*n**2 = 0.\nAnswer: -638, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 25*t + 27*t + 959*t**4 - 2 - 72*t**2 + 4 wrt t?\nAnswer: 23016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 1. Let s(m) = 9*m + 6. Let h(a) = -s(a) - 5*z(a). Let x be 4\/18 - (-86)\/18. Let i(c) = 7*c - 3. Calculate x*h(p) - i(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 15. Let h(n) = 4*n + 13. Let k(g) = -5*c(g) + 6*h(g). Give k(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29978 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1617) - (sqrt(99)\/(-2*sqrt(3)) - sqrt(33)))\/(sqrt(9)\/sqrt(3)*2 + sqrt(12)\/(sqrt(4)*1))*6 + 3)**2.\nAnswer: 186*sqrt(11) + 10580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 129. Solve f*s = -21 + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 1) + -37 + -133 + 139.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -264 and -37395?\nAnswer: 9872280","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 945, 853, 673, 375, -71, -695?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16965, -17021, -17137, -17343, -17669, -18145, -18801, -19667?\nAnswer: -20773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1532, -1537, -1554, -1589, -1648?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3694 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = -8, 2*w - 42 = -4*y. Suppose 0 - y = -3*q. What is the remainder when 19 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 17*u**2 + u - 4. Let f be o(-17). Let k be 7\/2 + f\/(-14). Suppose 0 = -k*m - 0*m + 1955. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 0)*(-81*s - 8*s**2 + 81*s).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3052*f - 5026 - 4130 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30 and -71\/938.\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610887859 to the power of 1\/4, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55129 and 435?\nAnswer: 826935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83958 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2401*v**4\/4 - 377*v + 3387. What is the derivative of o(u) wrt u?\nAnswer: -7203*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7538536\nAnswer: 5\/7538536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 293 + -284. Solve -2*h - v = 10, -h = 3*v + 6 + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f - 1. Let o(h) = -h**3 - 4*h**2 + 5*h - 7. What is 10*m(d) - 2*o(d)?\nAnswer: 2*d**3 - 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -21. Suppose -2*a + 6*a = -84. Let m be 6\/(-21) + (-3009)\/a. Calculate the greatest common factor of m and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, 4 in increasing order.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34145*t + 158*t**3 + 34145*t - 909 - 159*t**3.\nAnswer: -t**3 - 909","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1325 - 1325. What is the closest to j in -0.5, 2, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-1)\/sqrt(7)*-2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4789*g - 2397*g - 2389*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2312717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -3*h + 3, 3*h = -2*v + 13. Suppose 3*j + 15 = 2*t + v, 5*t = 5*j + 30. Solve -q = -4*u + u - t, -u + 3*q = 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10152104\/51 greater than -199062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-18 - -48) - 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15ee + e5?\nAnswer: 16e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-474)\/(-4). Let m(v) = -d*v + 9 - 26 + 8 + 10. What are the prime factors of m(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1\/10, 691, 5, 3\/4.\nAnswer: -4, -3, 1\/10, 3\/4, 5, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 531 = 3*m, -9*b + 4*b + 2*m - 891 = 0. Let g = -175 - b. Solve -z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84568592?\nAnswer: 2, 5285537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 10 - -17 - (-8 + 4 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 - 6*u + 1. Let l be y(3). Let s be 0\/((l - -1) + -4). Solve d - 2 + 5 = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002432912663 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -433149*t. Let p(o) = -o - 16. What is p(r(u))?\nAnswer: 433149*u - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-33)\/(-44))\/((-10)\/16))\/((122\/(-45))\/61)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*g - 27. Let t(r) = 2*r**2 - 3*r + 11. Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416721.\nAnswer: 3, 7, 11, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -379641 not equal to -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 - -149. Suppose -4*h = -s*h + 70. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19641 is divided by 132?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -16.94. What is the nearest to -1\/3 in f, -1\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 140340*c**2 + 5466505*c - 23824650.\nAnswer: 5*(c - 28029)*(c - 34)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 16. Let y = x - -17.0033. What is y rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2487 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*y + 2*y. Let n be 8 + ((-46)\/12 - 2\/12). Suppose r - n*s = 3, -5*r + 0*r - s = -15. Solve -r*a + 4 = -y*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138295 divided by 1.\nAnswer: -138295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-108)\/(-270))\/((-2)\/(-11080))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgmj when four letters picked without replacement from vmmcgmvmjgmv.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 604*o**2 - 18*o + 3463. Let t(s) = 603*s**2 - 15*s + 3463. Let p(w) = 5*c(w) - 6*t(w). Find the first derivative of p(i) wrt i.\nAnswer: -1196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5 and 27\/15964?\nAnswer: 79820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*x**4 + 31*x - 10?\nAnswer: -1932*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7191 divide 5916330531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -5101?\nAnswer: 5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 2. Let a = g - 13. Factor -2\/3*r**3 + 0*r + 8\/3 - a*r**2.\nAnswer: -2*(r - 1)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-165) - 5\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 19 - 23. Is (-1 - 0)\/(-2*o\/1056) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227640 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmrp when four letters picked without replacement from rimbimipriririi.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27*(-9)\/(-2 - 1). Let z = -79 + b. Let r(s) = -s. What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7265\/11 - 661. Sort -2, q, -0.1.\nAnswer: -2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a5 - -9467?\nAnswer: a150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393418458?\nAnswer: 2, 59, 887, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p\/(((p**7\/p)\/p*p)\/p)))\/p))\/(p**2\/p))**47 assuming p is positive.\nAnswer: p**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*p + 227 = 38, 2*u - 5*p = 101. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -812, 2, 21, -4, 3, 24 in decreasing order.\nAnswer: 24, 21, 3, 2, -4, -5, -812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/6 - 8\/12. Let o(k) = 121*k + 2. Let s be o(r). What is the derivative of 5*h**4 - 123*h**2 + s*h**2 + 10 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + v - 216 = 0. Solve 0 = -4*i - 2*d + v, -d + 4 = i - 0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:28 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39325 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/10*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -77\/4. Let i be 4\/164*(1 - 3). Sort 2\/3, g, i.\nAnswer: g, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022 divided by -34\nAnswer: 511\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + a - 7, -26*n + 22*n + 3*a + 27 = 0. Solve -n = -4*d - 11, -2*x = d - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 - 15*u**2\/2 + 26*u - 350. Let v be -1 + 5\/(-2)*6. Let x be q(v). Solve 3*i = k + 6, -4*k = -4*i - 2*k + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 11*c + 20. Let m be z(9). Let p(r) = 12*r - 11*r + r**3 + 0*r**3 + m - 1 - 6*r**2. Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151053623023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -377*m - 45066. Give c(-120).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 26*i + 3. Let k be o(26). Suppose -9*d = k*d - 3900. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = -43*t - 736 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:48 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8*(-6)\/(-21) + -2)*7. Calculate the remainder when (-36)\/(-21) - b - 870\/(-7) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + u + 2. Let d(v) = -v**3 + 5*v**2 - v - 2. Let k(q) = -2*d(q) - 3*h(q). Let o be k(-2). Let t(n) = -2*n - 5. What is the tens digit of t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094086309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7557, 15430, 23303?\n\"Answer: 7873*d - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -237.11 - -19856.11. Let g = y + -19640.998. Let x = 22 + g. Round x to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))**45*i**(14\/9)\/i**(-2\/3) assuming i is positive.\nAnswer: i**(1640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -486*y**2 - 3677?\nAnswer: -972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-184)\/(-20)) + 7 + -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9614 = 2*n + 2*l, -7*n - 24027 = -2*n + l. Suppose 2*j - 4*j + 100 = 4*b, 3*j + 114 = 5*b. Is (-2 + -4)\/b - n\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(252) + 0)**2*6*4.\nAnswer: 24192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3853 is divided by 297?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*f**2 + 414*f**2 - 1126*f**2 + 233*f**2.\nAnswer: -183*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1959879 and 2137665?\nAnswer: 4233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068740 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2060)\/3708*18\/(-8)*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100) + -1 + 1 + 2) + (sqrt(1100) - (sqrt(1100) + -3)*4) + (-4 + (sqrt(1100) - (sqrt(1100) + -2 + sqrt(1100))))**2.\nAnswer: 50*sqrt(11) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-10))\/(0 + 2 + 203\/(-116)). Let t(y) = 4*y - 5*y + 0*y - 2 - y**2. Determine t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40055395 + -22725395. Round s to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 42*m + 37 in the form f*m + r and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-15 + 35)) + (0 - -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 107827177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 12}. What is prob of sequence llhl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 5535*i + 16650 = 0. What is i?\nAnswer: -3, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + u)*(-6*u**2 + 4*u**2 + 4*u**2) + 6*u + 19*u**3 - 6*u - 52*u**2 + 52*u**2 + 7*u**3.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/15 and -12\/155.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, 6, 0 in decreasing order.\nAnswer: 6, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/32*4480\/5040.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.18 + -34.18. Let p = 11 + -8. Which is the second biggest value? (a) f (b) p (c) 0.08 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3461\/6 - -582. Suppose -38*i = 62*i - 600. Are i and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.729315 to two dps.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7421 - -4?\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-4))\/((-24)\/1296). Find the common denominator of 0 + 9\/(n\/(-290)) and -83\/122.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose 3*w = 2*w + 2. Suppose 0 = -6*h + 77 - 29. Solve z*c + h = -w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1965661 - -0.5\nAnswer: 1965661.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*v**2 - 1418*v**2 + 462*v**2 - 5*v + 471*v**2 + 5*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:51 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4))**(-50))**(-1)\/(((p**(-2\/11)*p)\/p)\/(((p\/p**(-1\/3))\/p*p)\/p))**43 assuming p is positive.\nAnswer: p**(3937\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = 279*c - 277*c - 30, 3*c + 4*o - 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(1 - -2)\/3. Let j = 17 + -13. Which is the closest to n? (a) -1\/4 (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 0*s**2 - 3*s**2 - 1 - 8*s + 4*s. Let a be p(4). Let f be 8 + a\/((-2)\/(-6)). Solve 0 = f*z - 0*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**3 - 12*l**2 - 13*l + 14. Let y(u) = 13*u**3 - 12*u**2 - 13*u + 16. Calculate 7*d(q) - 6*y(q).\nAnswer: -q**3 - 12*q**2 - 13*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 10, -5*c = -334*n + 335*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -5*b**4\/4 + 5*b**2\/2 + 11. Find d such that k(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 - 3*f + 8. Let i(n) = -n**2 + n - 1. Let l(o) = 6*i(o) + x(o). Factor l(c).\nAnswer: (c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 991418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) -0.1 (d) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5973049 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:20 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2 - 14*s + 218. Is 70 a factor of a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321.2033 rounded to the nearest 10?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzhlm. What is prob of sequence jhl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.62 and 2.\nAnswer: 16.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26403 - -26420. Which is smaller: -418 or j?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.026 + -3.026. What is the fifth smallest value in 3\/2, 0.3, -6\/11, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*o - 19, y = 3*y + 2*o + 6. Let p = y - -6. Let w = 6 - p. Solve 2*k + 3*x + 25 = 0, -3*k + 10 = -k - w*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -8 - 13 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - 3 + 3 + t - 3*t + 5*t + (-1 + 2 + 0)*(64*t - 27*t - 16*t).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 6*l**2 + 0*l**2)*(-50409*l - 8752*l + 32534*l - 45649*l + 12850*l - 71494*l).\nAnswer: -130920*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349876.0449322 + 349876. Let c = x + 0.0448. What is c rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwwwmimwwmwm. What is prob of picking 2 m?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*n - 2*a, -n + 2 - 4 = 2*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/13))**(-5)*(v**47)**(1\/28) assuming v is positive.\nAnswer: v**(1451\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 663 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let u(z) = -2*z**3 - 2*z**2 + z - 2. Let j be u(g). Let h be 1\/(-2)*j\/9. Do h and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let w(n) = -59*n - 23. Give q(w(y)).\nAnswer: 59*y + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -133*j + 16585. Is 63 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1342106 by -3802.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 114000478*z + 114000478*z + 2*z**3 + 3*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(12)*-5 + sqrt(12) + sqrt(12)).\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151204273951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and 0.2?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -65436193\nAnswer: 6\/65436193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 12. Suppose 0*d + 3*v = 5*d - 294, -2*d = -3*v - 114. Calculate the greatest common factor of y and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 6*t + 2. Is n(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**5 - 3*z**4 - 4*z**3. Let h = 526 + -524. Let u(m) = 3*m**5 + 3*m**3. Let d(r) = h*u(r) + 3*g(r). Find n such that d(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 5*r - 4*f - 101, -r = -4*f + 1. Let j(o) = -o - 9. Let d be j(r). Let a(h) = 1 + 2*h + d - 9. Let q(t) = 3*t**2. What is a(q(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -420 and 257355991.\nAnswer: 257355571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868907 is divided by 289634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 439, -1246, 0.\nAnswer: -1246, 0, 5, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, -19534, 4, -4 in descending order.\nAnswer: 18, 4, -3, -4, -19534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*n = 0, -4*n + 5 = -5*n. Suppose -42 = -2*y - 5*y. Is y bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 + 2*o + 4. Let u be (-4 - 2)\/(-1 + 4 + -2). Calculate f(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -268*b*l - 77*l - 1 wrt b?\nAnswer: -268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3572971\/14338 - 18739\/67. Let c = -1\/107 + w. What is the common denominator of c and 115\/1204?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 5 = -3*r, 4*x - 20 = r. Suppose 0 = -x*f + 6*f + 2*p - 30, -70 = -2*f + p. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0469 + -707.566108?\nAnswer: -699.519208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:09 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*r - 7445*f + 66529*r wrt f?\nAnswer: r - 7445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 921525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6653683 divided by 3?\nAnswer: -6653683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*y + 8 = 2*y, t + 5*y = -10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Let g = 6 - c. Let n = g + -5. What is the second smallest value in n, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s + 8. Let m be j(-6). Let l be -2*2\/(8\/(-28)). Let d = m + l. Let h(q) = q**3 - 4*q**2 + 2*q - 2. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -753, -1722, -3079, -4824?\nAnswer: -6957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 - 16 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtzgtggggtgzttg. What is prob of picking 1 z and 1 g?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t + 1. Let n(r) = 5*r**2 + 6*r - 171. Let y(j) = n(j) + 4*q(j). Let u be y(0). Let f = 251 + u. Round f to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (-5 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 294, 441, 588, 735, 882?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:13 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3\/3 + 160*r**2\/3 + 64*r - 4608 = 0. Calculate r.\nAnswer: -36, -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 + 1.2. Let o = 3.9 - l. Let m = -290 - -2612\/9. Which is the biggest value? (a) m (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3 - k + 1\/50*k**5 + 8\/15*k**3 + 0*k**2 + 3\/10*k**4. Find r, given that m(r) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4428710 and 115\/12714?\nAnswer: 13286130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 65 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-13)*m)**(-2\/11)*(m*m*(m*m*m\/m**(-8))\/m)**29)**(2\/111) assuming m is positive.\nAnswer: m**(2568\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -2\/11*h**2 + 0 + 8*h - 5\/33*h**3 + 2\/33*h**4 + 3\/110*h**5. Determine x so that g(x) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.678 + -4\nAnswer: -5.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 95*g**2 + 5*g + 9. Let i(f) = -299*f**2 - 15*f - 26. Let v(b) = -11*a(b) - 4*i(b). Let w(k) = -75*k**2 - 2*k - 2. Calculate -2*v(r) - 5*w(r).\nAnswer: 73*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238 + 246.02. Let l = 8.12 - h. What is the closest to l in -0.2, -6, 4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1547*x**6 - x**4 + 11*x**2 - 36*x + 2 wrt x.\nAnswer: 185640*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*f - 4032 = -f, 5*x - 5*f - 4040 = 0. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 16*g - 2140. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0*4\/(-4). Suppose -5*r - 36 = -2*a - 155, -5*r + 5*a + 125 = v. Let f = -13 + r. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504000 = -39*l + 35*l. What is l rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57172 + -36208. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1750)\/100)\/((-55)\/22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 21*j**2 + j + 24. What is h(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4*w - 11. Let z(t) = t**2 + 5*t + 12. Let s be -1*(7 - 6)\/(2\/10). What is s*z(v) - 6*h(v)?\nAnswer: v**2 - v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a - 31*a - 693 = 0. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 124*r**2 - 26*r - 237. What is the tens digit of d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f - 23. Let j(m) = -8*m - 11. What is 5*j(y) - 2*q(y)?\nAnswer: -8*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 338.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 10636*j + 10634*j + 15, -2*d - 3*j + 25 = 0. Solve 12 = -d*c + 22, k - 13 = -4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 8 - 2 + 21 + 3 + 4. Let d(r) = -8*r - 7*r - 9*r + 21*r. What is d(o(b))?\nAnswer: 6*b - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 + 0.18. Let x = -0.23 - 0.07. Put -2\/3, x, v in ascending order.\nAnswer: -2\/3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 175 = -207 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 1927.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = -105*h - 902 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/58032 and 65\/4968?\nAnswer: 4004208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {z: 4, w: 1, r: 4, t: 6}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066*p + 1067*p = 186. Is p a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 69 = 5*d, 321 = -2*d - 4*q + 299. Let w(p) = p**3 + 11*p**2 - 25*p + 10. What is w(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1659 divided by 1.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.1, 0.5, 8, 0.4 in descending order.\nAnswer: 8, 5\/3, 0.5, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130048204 and 13013?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -155*n + 1086. Let f be i(7). Let g = 0.2 - 0.1. Which is the nearest to f? (a) 8 (b) -3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(490\/20))\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014963 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 9)\/((-16)\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-18)*2\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298414446 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:42 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.016, 45, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14905567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:56 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*2 - sqrt(117)) + -2)**2 + sqrt(117) - ((-4*sqrt(117))**2 + sqrt(117))*-4)*-5*5.\nAnswer: -190225 - 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:59 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*a - u - 0*u, 0 = 4*a - 3*u - 4. Suppose -297 = -y + a. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 845, 1658, 2467, 3272, 4073, 4870, 5663?\n\"Answer: -2*n**2 + 819*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -476, -1840, -4094, -7238, -11272, -16196?\n\"Answer: -445*a**2 - 29*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 188 - 0?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/330615 and 38\/36735.\nAnswer: 330615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94.95 - -99. Let j = -0.05 + v. Let l = -3.84 + j. Round l to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 25. Let j = -9 + q. Suppose 0 = 3*v - 2*x - 148, j*v - x = -v + 49. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*u + 498 - 96 = 0, 203*l + 281 + 466 = 22*l + 2*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4539)\/3*(-5 + 4)?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -2. Let n = o + 0.3. Suppose b + 4*b + 5 = 0. What is the nearest to n in 2, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690559163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2628605 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n - r + 10, r - 12 = -4*n. Let j(q) = 50*q**2 - 49*q**n - 4 + 6*q - 8*q. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhhlhhhhhhhhh?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(2 + (sqrt(76)\/sqrt(4)*3 - (sqrt(19) + (sqrt(19)*-1)**2 + 4))*6)*1.\nAnswer: -2720 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 20 (b) 39 (c) 7 (d) -0.3 (e) 4\/3 (f) -13.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, k: 3, g: 2, l: 10, d: 1}. What is prob of sequence ld?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1945452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/25)\/s)\/(s*(s*s*s\/s**(-2\/65)*s*s*s)\/s) assuming s is positive.\nAnswer: s**(-2311\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9710*(3\/(-13) + (-10)\/13) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*g**2*p + 6*g**2 + 3552*g*p + 5*g - 4527942*p + 5 wrt g.\nAnswer: -278*g*p + 12*g + 3552*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 64. Suppose -t = -q - 3*q. Suppose q*v + 13 = 29. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 930 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(432))*-6*-6.\nAnswer: 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-30)*(-60)\/(-24). Calculate the greatest common factor of 183 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1333121013?\nAnswer: 1333121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446.3 to the nearest ten.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144786 is divided by 2454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 184107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8169 - -8181. Solve 0 = 18*w - 16*w + 2*y - r, 9 = -2*w + 5*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-13) - (-6)\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 9*q - 3. Let b be k(-8). Suppose -b*n + 8*n = 6. Solve 0 = -n*w + 10 - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -12 + (-16 - -27).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/60 + 1277*q**2. Let a(d) = 1927*d - 2. Determine a(y(z)).\nAnswer: -1927*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z**3 + 6*z**2 - 11*z + 6. Let f(s) = 2*s**3 - s**2 + 2*s - 1. Suppose 2 = -3*g + 2*m, 5*g - 8*m + 11*m = 22. Calculate g*p(w) + 11*f(w).\nAnswer: 2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 213*j + 4929. Let n be c(21). Solve -q - 6*y - n = -2*y, 4*y + 5 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16358345*i**2 - 1184*i - 1233?\nAnswer: -32716690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*h**2 - 7419*h\/4 + 7479\/4 = 0. What is h?\nAnswer: -2493\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 17*d. Let k(u) = 98*u. What is k(q(y))?\nAnswer: 196*y**2 + 1666*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-2)\/4 - -2). Let b = -1 - l. Suppose 0 = 2*t + h - 14, 6 = b*t - 2*h - 1. Solve -t*c - 2 + 17 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {n: 2, j: 1, w: 2, u: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.0754 to the nearest integer.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517748057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**5 + 5*t**4 + 3*t. Let c be (-1 - -3)\/(12\/(-18)). Let m(x) = -11*x**5 - 14*x**4 - 8*x. Let o(r) = c*m(r) - 8*l(r). Let o(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/910942?\nAnswer: 3\/910942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*v**4 - 17*v**4 - 41*v**4 + 39*v**4 - 86*v**2 wrt v?\nAnswer: -1272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -609 or -611?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + n, -4*n = 2*p - n + 15. Let v be 2 - 1*(p - 97). Let y = -12 - -23. What is the highest common factor of y and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223723787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334*n**2 - 127 - 353 + 332*n**2)*(-n**2 - 4 + 4).\nAnswer: 2*n**4 + 480*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 62*i = 7. What is the third smallest value in i, -1, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -21, -45, -89, -159, -261?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-5355)\/(-108)))\/(12\/(-40))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 16) to base 8.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 451401544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Let m = 86 - 91. Which is the third smallest value? (a) m (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 38*g**3 + 113*g**2 + 5978*g - 2. Let i(o) = -o**3 + 41*o**2 - o - 1. Let m(d) = 2*i(d) - q(d). What is the second derivative of m(h) wrt h?\nAnswer: -240*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*v - 17. Suppose -17 = 3*t + 4*u, 66*t - 69*t + u = 7. Put v, 14, t, -1 in decreasing order.\nAnswer: 14, -1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -4)\/(2 + 0). Suppose -v - 11 + 13 = w. Calculate the common denominator of -1 + v - (-129)\/60 and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 402*x**3 - 2*x**2 + 2*x + 7. Let d(t) = 802*t**3 - 5*t**2 + 5*t + 15. Calculate 2*d(c) - 5*k(c).\nAnswer: -406*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhhwwhwowarhow. Give prob of picking 1 o and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*y + 127*y - 83748*y**2 + 19181*y**2.\nAnswer: -64567*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -21, 1\/3, 0, 16 in descending order.\nAnswer: 16, 1\/3, 1\/7, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175486 by 2.\nAnswer: -87743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599596046.\nAnswer: 2, 7, 6118327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*r = -2*r, -24 = 3*t + 5*r. Let k = 3 - t. Suppose 4*p = k*p - 2. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = 10*x - 25001. What is the units digit of 6 - (20\/140 - x\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 7674*f**3 - 324031*f**2 + 316356*f = 0. Calculate f.\nAnswer: -7716, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1395.41618 + -1534.416081. Let p = 0.0763 + 138.9237. Let m = v + p. Round m to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(171) + -1 + sqrt(171) + -1)**2 - (4*(2*sqrt(171) + sqrt(171)) - (2*sqrt(171) + -1 - sqrt(171)))**2) + -4.\nAnswer: -20003 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.2191um in nanometers?\nAnswer: 408219.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 972*o - 58138 = -9206 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2 + 8*z. Let j(t) = 7*t - 1 + 1 - 2*t**2 - 3*t**2. Let y(c) = -c**2 + 8*c - 3. Let b be y(7). Let i(l) = b*j(l) - 3*u(l). Factor i(f).\nAnswer: -2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/540)\/((-3)\/8))\/1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1227798 divided by -2067\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*s + 35 + 35 - s**2 - 70.\nAnswer: -s**2 + 280*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2\/4 + 192342439*l\/4 + 9617122 = 0. What is l?\nAnswer: -1\/5, 38468488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23891146 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 151*k + 7. Let i(y) = -75*y - 3. Determine 5*i(q) + 2*u(q).\nAnswer: -73*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + -1)*(-309)\/516 + 16\/24 and -61\/2.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/(-504)*-27*5\/60*20.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193570.38345 + -263428.3838. Let y = -69848 - b. Let m = -10 + y. Round m to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-36) - (-15)\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 9*u + 7. Let q(y) = -y**2 - 4*y + 4. What is 3*l(a) - 5*q(a)?\nAnswer: -a**2 - 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -777 + 108. Let n = k - -647. Which is the third biggest value? (a) n (b) -2\/7 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 9 (c) 0.06 (d) 0.1 (e) -5 (f) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -0*c - 5*j, -4*c + 26 = -5*j. Let b(m) = 10*m - 21*m + c*m + 5. Calculate the remainder when b(-11) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 9*y**2 + 13*y - 6. Let q be f(6). Suppose 0*j - q = -12*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = -4*x, -w - 4*x = -7. Let o = 4\/7 - 1\/14. Which is the closest to -2? (a) o (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, m: 4}. Give prob of picking 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1215 = 729. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83703*-0.4.\nAnswer: -33481.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from eeeeteeeeteteeeteeee?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4887*x + 20. Let z be u(-1). Let l = z - 2173. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-1040)\/(-32)))\/(14\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-5)**2 + -4 + sqrt(25)\/(sqrt(5)*-3) + 3.\nAnswer: -sqrt(5)\/3 + 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 997 = 321. Solve 0 = 6*q + 20*q + a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(sqrt(40)\/sqrt(8)))\/sqrt(11).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - (-3)\/3*-2. Suppose -2*l - 3 = -g. Suppose 140 + 613 = l*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -14482034 in increasing order.\nAnswer: -14482034, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0458967 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23123 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -153542?\nAnswer: 153547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 58 = 17*i + 118 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34573442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(330) - sqrt(330))\/sqrt(10) + sqrt(264)\/(sqrt(16)\/sqrt(2)))\/(sqrt(3072) - (-2*sqrt(3072) - sqrt(3072))).\nAnswer: -sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 4. Let s = -43 - -45. Let d = 7 - -5. Let v(c) = -22 + 9 + c + d. Give s*v(y) + u(y).\nAnswer: -2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.96 + 0.04. Let x = -6.3 + w. Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w + 6 - 105*w - 44*w - 677*w.\nAnswer: -905*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 1. Let y(u) = -17*u + 3. Calculate -26*r(p) - 6*y(p).\nAnswer: -2*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1604 - 1605. Which is the fourth biggest value? (a) 8 (b) 0.06 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -610 + 2183?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 270, 395, 512, 621, 722, 815?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/(1 - (-11)\/(-33)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(1\/13)\/(h*h\/h**1*h)**(-9\/10) assuming h is positive.\nAnswer: h**(341\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 11*a - 90. What is s(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*h = 9, -4*h + 10 = -2*h. Solve -7 = a - 2*i - 6, 0 = -w*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -241. Let p = -73.000132 + w. What is p rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670 divided by -134.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1046 - 4*z**3 - 4*z**2 + 1046.\nAnswer: -4*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5885 + -1?\nAnswer: 5884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let i = q - -0.5. Let v = 2.4999985 - i. What is v rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 17*n = 88. Is 36 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/30 + 43*l**4\/24 + 16*l**3\/3 - 5*l**2. What are the prime factors of k(18)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 4. Let a(z) = -6*z**2 - 8. What is 2*a(x) + 5*h(x)?\nAnswer: 3*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20970509*u**4 - 5*u**3 - 5*u**2 + 3246543*u + 2?\nAnswer: 503292216*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 14*s**2 + 4*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3809 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 36*w + 1819. Determine o(64).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -4 (b) -4\/3 (c) 3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35017350 and 312.\nAnswer: 1820902200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) + 3 + -3*sqrt(325)*-2)**2.\nAnswer: 216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 175 + -9b?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 + (1 - -2)*-2. Which is the closest to 1? (a) 1 (b) -5\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + 4*m**2 + 0*m**2)*(60575*m**3 - 60578*m**3 + 79*m**2 + 12*m**2).\nAnswer: 6*m**5 - 182*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**8\/168 + k**6\/60 - k**2 - 2*k. Let o(l) be the first derivative of j(l). Factor o(h).\nAnswer: -2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 46*a - 9023. Calculate s(196).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13924921?\nAnswer: 17, 31, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, c: 7, r: 2, e: 4}. Give prob of sequence rrb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 4*x + 256, 193 = 3*z - 2*x. Suppose 10 = -v + 5*d, -3*v - 5*d = -d - z. Find the first derivative of 1 - 3 - v - 19*w**2 + 6 wrt w.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + q = -8, 3*t = -q + 6*q + 34. Find the first derivative of 3 + t + 3 - 12 + 7*c wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660.3981+202.6\nAnswer: -457.7981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Find the third derivative of -r**4 - r**3 + r**3 + r**2 - q*r**2 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 + 7*x**3 - 4*x**3 + (1 - 1 + 2*x)*(16692 + 91*x**2 - 16692) as u*x**2 + n + f*x + g*x**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrlrqboom. Give prob of picking 1 m, 1 b, and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 0. Solve g*d - 3*d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/31 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 736814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63626 + -2?\nAnswer: -63628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 18*b - 33*b to v*b + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 76. Suppose k - 5*p = 47, 0*k = o*k - 3*p - 81. Suppose 8 = 23*c - k*c. Solve -c = -v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 113479*y. Let h(i) = -8*i + 3. What is a(h(c))?\nAnswer: -907832*c + 340437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2273622*r**3 - 2273621*r**3 + 4547249*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c - 82. Let o be h(-8). Let r(x) = x**3 - 8*x**2 + 8*x + 6. Determine r(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1466.5509 months to decades.\nAnswer: 12.2212575","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*y + 6*p - 28, 5*y = -3*p + 88. Suppose -2*q - s = q - 18, 2*q + 5 = 5*s. What is the lowest common multiple of 4\/y - ((-149)\/q - 0) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 24*d**3 - 42*d**3 + 9*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.287 - 6.99. Let s = -0.197 + v. Which is the third smallest value? (a) -4\/15 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 573381, 2.\nAnswer: 2, 4, 573381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910357 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 535 = -4*t - 587, 4*t = -48 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*r**6 + 8*r**4 + 5*r**2 - 3*r?\nAnswer: 1440*r**3 + 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417794.\nAnswer: 2, 911, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1203 - 1777. Calculate the common denominator of (-1)\/5*50\/28 and p\/105*(-20)\/16.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172245479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.25, 1\/5, 0.1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:08 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/(1*sqrt(28)))\/(1*sqrt(243)*-5) + 5.\nAnswer: -sqrt(13)\/90 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311428 is divided by 94.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16443212 (base 7) in base 6?\nAnswer: -54241405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 - 123 = -42*p + 350. Solve -150*l + 145*l = -p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(720) + sqrt(720) + 1)**2 - sqrt(60)\/(sqrt(12)\/sqrt(4)).\nAnswer: 70*sqrt(5) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 1, f: 2, p: 1}. Give prob of picking 1 f, 1 b, and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 1, b: 2}. Give prob of picking 1 h and 1 b.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 7*l - 3*l)*(3 - 4 + 2 + 3*l**2 + 2*l) - 2*l**3 - l**2 + l**2 in the form b + w*l**2 + r*l**3 + k*l and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 2. Let h be s(7). Let c be ((-192)\/(-28))\/(((-48)\/63)\/(-8)). Suppose p - 3*p = -c. Calculate the greatest common divisor of p and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019325.\nAnswer: 5, 7, 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19 + 4*i**2 - 7*i**2 - 29 + 24*i.\nAnswer: -3*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 663.8584km?\nAnswer: 663858400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2900 and 144119850?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168930, -168532, -167876, -166968, -165814, -164420, -162792, -160936?\nAnswer: -158858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3 - 89*w**2 + 416*w.\nAnswer: 12*w - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/87 and 40\/2481.\nAnswer: 71949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 + 25\/5 - 4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**4 - 5*l**3*n**2 + 2*l**2*n**2 - l*n**2 - 44*n wrt l?\nAnswer: 168*l - 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8001 and 212979?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (47\/282)\/(1\/(-4)) + 8\/(-6). Let n(m) be the second derivative of m**4\/12 - 5*m**2\/2 + m. Let v be n(4). Sort 1, v, s in decreasing order.\nAnswer: v, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5692d2 + -5?\nAnswer: 5692cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 200 = -129. What is the remainder when x is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 4 in descending order.\nAnswer: 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088 = -u + 10854. Suppose 3*h = u + 960. Suppose -5*s = 2*o - 0*s - h, -6484 = -4*o + 5*s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b**2. Let s(w) = -41*w**2 - 7*w + 7. Let f(y) = -12*y**2 - 2*y + 2. Let m(u) = -7*f(u) + 2*s(u). What is m(x(q))?\nAnswer: 338*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274681100 a multiple of 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16287 - -26061. Calculate the remainder when u is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16551 * 0.1\nAnswer: -0.016551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = -o + 5*b, -14*o = -11*o + 2*b + 968. Let c = 362 + o. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80600 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -281*r**2. Let a(x) = -26*x - 208. Let q(l) = 5*l + 39. Let u(p) = -3*a(p) - 16*q(p). Give u(c(o)).\nAnswer: 562*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 14. Let a(c) = c**2 + 17*c - 11. Let y be a(-18). Let t be (-4 - 0)*1*-1. Solve 0 = -s + n*l + y, s - t*s = 3*l + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24 and -15.56051053044.\nAnswer: 8.43948946956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*f = -5696 - 2991. Suppose -5*l + 2*l + 78 = 0. Calculate the remainder when f is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = -27 - 85 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194667 divided by -51.\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378 (base 9) in base 15?\nAnswer: -7d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzz when three letters picked without replacement from {z: 7, d: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517549.\nAnswer: 517549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:54 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7096.20295413 + 301.95804547. Let p = o - 7396.161. Let h = 2 - p. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10088*z - 10077*z - 429. Let k be 0 + 0 + (12 - -1). Calculate the highest common factor of k and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 130, 226, 342, 478, 634?\n\"Answer: 10*c**2 + 46*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -874, -1991, -3588, -5905, -9182, -13659, -19576?\n\"Answer: -40*y**3 - 837*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, 2, 26 in descending order.\nAnswer: 26, 5, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {s: 8, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*p + 11*z - 12*z, 0 = -p + z + 14. Let w be ((-46)\/1)\/(-3*p\/18). Solve -w - 1 = -6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ae05e (base 16) to base 5.\nAnswer: -2224011402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*1334\nAnswer: -586.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1483343188399.5295959 + 1483343334620. Let z = 146282.4704 - a. Let o = z - 62. Round o to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8147925l in millilitres?\nAnswer: 814.7925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -4*d**5\/35 + 4*d**4\/7 - 20*d**3\/21 + 4*d**2\/7 - 110. Solve g(b) = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 138, 210, 282?\n\"Answer: 72*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 22 = 3*o, -6*o = -2*u - 4*o + 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36417 - -36411. Let u = 2 - 3. Sort -0.3, u, z.\nAnswer: z, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26963.6? (a) 1 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/u**(2\/49)*u*u*u)*u**(-16))\/(u*u**(7\/6))**(-27) assuming u is positive.\nAnswer: u**(3679\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 40\/17 (c) -0.4 (d) -0.5 (e) 0 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -188, 0.11, 22?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -85?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + q**2 - 7*q + 1. Let f(h) = -10*h**3 - 3*h**2 + 22*h - 2. Let d(o) = 2*f(o) + 7*i(o). Find t, given that d(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 0*d**3 - 4*d**3 + 3*d**3 + 3*d**2 - 5*d**2 - 11 as t*d**2 + a + h*d**3 + q*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 163. Suppose -p*q + 5*r + 8 = 0, 6 = 2*q + q + 2*r. Solve 4*w - q*f = 2*w + 8, -4*w = -3*f - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141713 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2074, 4137, 6202, 8269, 10338?\nAnswer: 12409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -689453, -689452, -689451, -689450, -689449, -689448?\n\"Answer: j - 689454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j + 1. Let u be ((-8)\/12)\/((-1)\/(-12)). Is a(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -10. Let t(v) = 15*v + 58. Let h be t(-4). Let c = h + g. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12753972 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 41. Let y be (-4)\/a + (-179 - 1) + -3. What are the prime factors of (-2)\/(y\/180 - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 295539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219\/5 + 1963\/60. Find the common denominator of -37\/4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -75390914743345\nAnswer: -75390914743346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*o**2 + 38 - 18 - 20.\nAnswer: -206*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7 - 4*d - 1 - 6. Let o(z) = -3*z. Let c(p) = -21*p. Let a(r) = 4*c(r) - 27*o(r). Determine a(k(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/3 - 1937*w**2\/3 - 2271*w + 2916 = 0.\nAnswer: -9\/2, 1, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, m: 2, l: 1}. What is prob of sequence mlx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8 - -3?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 35385921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 - 25*t**2 - 11. Let v(l) = -l**3 - 5*l**2 - 2. Calculate -2*s(r) + 11*v(r).\nAnswer: r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.65 and -0.2?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 10*g + 10. What is the tens digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v + 7. Let t(g) be the second derivative of -2*g**3\/3 - 3*g**2\/2 + g - 26. Let r(p) = -6*i(p) - 14*t(p). Let s(b) = -2*b**2 - 13*b. Give s(r(q)).\nAnswer: -8*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10*i + 15*i = 7, -5*u - 3*i + 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:06 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382*-0.5.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*n**3 - 264*n**2 - 144*n = 0 for n.\nAnswer: -12\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2\/11, 196, -0.3 in ascending order.\nAnswer: -0.3, 2\/11, 3\/4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 21*x - 72 = -52*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15.11*7467\nAnswer: 112826.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/(-2) + (-894)\/745?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4 + 147*l**3 + 1125*l**2 - 24543*l - 183708 = 0.\nAnswer: -27, -7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v. Let g(d) = -2*d**2 + 13*d + 7. Let r(k) = -3*c(k) - g(k). Let u be r(-8). Let q = 10 - u. Let l(a) = -5*a - 1. Calculate l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -155*d - 741. Determine z(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -5*c + 2*z + 116, -3*c - 3*z = -30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*o + 766*o = -8457 - 9048 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.037 and -0.203?\nAnswer: 0.007511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1694 divided by 8\nAnswer: 847\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -215. Suppose -17*f + y + 24 = 0. Let g(p) = -p**3 - 6*p**2 - p + 3. What is the lowest common multiple of g(-6) and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 20*i - 54*i + 22*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/38613 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, -5\/3 in ascending order.\nAnswer: -5\/3, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.875 - 0.66. Let z = u - -0.015. Round z to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272931143 to the power of 1\/2, to the nearest integer?\nAnswer: 16521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/60 - p**4\/4 + p**3\/2 - 2*p**2 - 57*p. Let n(s) = -s**3 - 5*s**2 - 3*s - 2. Let b be n(-4). What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - t + 5*t = 571, 4*t + 539 = -3*y. Let j = y - -200. Solve -j*d + 13*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/159, 3, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - t = 25, 32*s - 28*s + 6*t + 50 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8238852 by 3.\nAnswer: 2746284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/2, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50927*b + 695169 with respect to b.\nAnswer: -50927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 30 = 3. Let k be 41 + -1 + 2 + -2. Let g = k + w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343330012 (base 5) in base 11?\nAnswer: 9639aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39, -59, -91, -135, -191?\n\"Answer: -6*b**2 - 2*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let i(a) = -3 + 3 + 28*a - 19*a - 10*a. Calculate 6*i(l) - 2*n(l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3294 + -21?\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/11 + 142*x**4\/11 + 808*x**3\/11 - 3656*x**2\/11 + 544*x\/11 + 4864\/11 = 0.\nAnswer: -8, -1, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 90*t**2 + 160*t + 75.\nAnswer: -5*(t - 5)*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -1009327\nAnswer: -9\/1009327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2 + 30 = 0. Suppose j + 163 + 40 = -5*r, -727 = 4*j + 3*r. Is (j\/w)\/((-1)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 4*m - 4. Suppose 0*f - 5*f + 5 = 0. Let j(z) = z**3 + z - 1. What is f*t(r) - 4*j(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let a = 94 + -74. Let x = a - 16. Let r be (5\/x)\/((-23)\/92). Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5868 + -5868.04. Which is the biggest value? (a) 50 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*v - 117*v + 5*q = 16, -5*q + 31 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 150. Let m be n(31). Suppose 68 = -21*j + 23*j - m*r, 2*j + 5*r - 28 = 0. Calculate the remainder when j is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3 = -n - 7, 5*n - 2*l - 40 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 + 17)*(6*c + 2*c - 3*c)*(c + 2 - 2) in the form j*c + d*c**2 + x and give d.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**5*p*p))**(-2\/5)*p**3\/p**(-12) assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -37. Let p(y) = y**2 + 30*y - 15. Let i(n) = -n**2 - 27*n + 14. Let m(v) = u*i(v) - 2*p(v). What is the first derivative of m(h) wrt h?\nAnswer: 2*h + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))) + sqrt(77))*3 - 2*1*sqrt(77))\/((2*sqrt(448) - sqrt(448))*1).\nAnswer: 13*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 146. Suppose 6*s = s + k. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32143423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -5 + (sqrt(475) + (2 + (sqrt(475) - 2*sqrt(475)) - sqrt(475)) - sqrt(475))**2 + -2*((sqrt(475) + 0 + sqrt(475) - sqrt(475)) + -5)).\nAnswer: -5739 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 + 26*l - 23*l + 2*l**2 + 2 wrt l?\nAnswer: 4*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289195176 divided by 812346?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5507*d = 5510*d + 12*j - 33, -2*d = 12*j - 42 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -426 and -35360\/83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 0.1028.\nAnswer: 0.06168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18\/6667 - 117983\/1720086. Find the common denominator of k and 27\/5.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24368 + -3860. Suppose 7*d = -5*d + j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/724 and (69\/(-33304))\/((-15)\/(-415)).\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -47*l**2 + 959*l - 1910. Let i(c) = 40*c**2 - 960*c + 1910. Let d(p) = 5*g(p) + 6*i(p). Factor d(s).\nAnswer: 5*(s - 191)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -192*p**3 - 6*p + 264. Let v(z) = -191*z**3 - 4*z + 264. Let b(l) = 2*f(l) - 3*v(l). What is the first derivative of b(a) wrt a?\nAnswer: 567*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 8*r - 5. Let z(f) = -f**3 - 5*f**2 + 5. Let n be z(-5). Let t be d(n). Which is the smallest value? (a) 0.2 (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7496, 7446, 7338, 7172, 6948, 6666, 6326?\n\"Answer: -29*z**2 + 37*z + 7488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:41 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b - 3. Let s be f(-2). Let d(q) = -2*q**3 - 5*q**2 - 3*q - 4. Is d(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13171043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 3*b - 2*b)*(-19 + 5 - 2).\nAnswer: 112*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((2*sqrt(1980))\/(sqrt(77)\/sqrt(28)) + 3 + (sqrt(20) - (sqrt(200)\/(sqrt(50)\/sqrt(5)) - sqrt(20))))*-4)**2.\nAnswer: 2496*sqrt(5) + 54220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6\/165038197, -1, -0.4?\nAnswer: -6\/165038197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5608013, 5608011, 5608009, 5608007?\nAnswer: 5608005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0*(-2)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 + (0 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5))**31*p\/(p*p**(2\/5))*p\/p**(-2\/11) assuming p is positive.\nAnswer: p**(384\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -4, 0.4, 2.1098, 281?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3087) + 0 - -3*(sqrt(3087) - (-1 + sqrt(3087) - sqrt(3087))))**2 + -2*sqrt(3087)*3 + (1 + sqrt(3087) + sqrt(3087))*2 + 1.\nAnswer: 210*sqrt(7) + 12360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0931 minus 0.1?\nAnswer: -0.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6174 - -6173.9. Which is the closest to y? (a) -5 (b) 2\/5 (c) 4\/7 (d) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 195075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + p. Let v(o) = o**4 + 3*o**3 + 6*o**2 - 8*o - 2. Let w(f) = 5*g(f) + v(f). Suppose w(s) = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Let b(j) be the third derivative of -5*j**4\/12 + 5*j**3\/2 + 22*j**2. Let a(n) = -b(n) - 6*c(n). Determine a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2. Let m(x) be the second derivative of -17*x**3\/3 - 611*x. Give m(d(q)).\nAnswer: -238*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h - 90. Let i be p(5). Solve s = -i*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 smaller than 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (146\/(-1))\/(5\/(-90)). Let t be (2\/3)\/(12\/u). List the prime factors of t\/10 + (-8)\/(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204961259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -243, -366, -489, -612, -735?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/7092927 and -47\/51.\nAnswer: 7092927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -462 + 204. Let j = m + 234.7. What is j rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13661 is divided by 1517.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 869\/6. Put -5, 0.3, b in ascending order.\nAnswer: -5, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -106\nAnswer: -133\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = j - 0, -2*j - 3*d + 4 = 0. Suppose -12*o = -17*o + 10. Suppose 0 = -5*y - o*p, -p + 2*p + 3 = -y. Solve 0 = y*z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 2 - 30. Suppose -g*k = 2*f - 24, 3*f - 3*k - 55 = 17. Let s be f\/12 - 1 - (-8)\/6. Solve -5*u - s = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Calculate the least common multiple of q and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 552 - 549. Let k(w) be the first derivative of 2*w**3\/3 - 5*w**2\/2 + 4*w - 7. Calculate k(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and ((-62)\/(-155))\/((-2)\/(-50)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234579, 469157, 703735, 938313?\n\"Answer: 234578*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*n - 292, -9 = -5*b - 29. Suppose -n = -t - 8. Suppose -2*i + t = d, -4*i - 72 = -d - 5*i. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + t - 1. Let w(u) = -4*u**2 + 5*u + 2. Let n(b) = -3*i(b) + w(b). Let f be (-2)\/3*(-30)\/4. Calculate n(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 5, g: 1, a: 2}. Give prob of picking 3 z and 1 y.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 - 5) - 3) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49725, 100033, 150341, 200649, 250957?\n\"Answer: 50308*o - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/(-2))\/(49\/(-49))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92985*t**3 - t**2 - 733*t - 1?\nAnswer: 557910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4852\/9699 or -2?\nAnswer: -4852\/9699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24049 - -31700. List the prime factors of w.\nAnswer: 3, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.160868 - 12?\nAnswer: -11.839132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32006 - -32007. Which is the third smallest value? (a) i (b) -2\/11 (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.90941l to millilitres.\nAnswer: 29909.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*((sqrt(931) - (sqrt(931) + -1)) + sqrt(931)) + -5)**2.\nAnswer: -84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(65) - (sqrt(65) - (sqrt(65) - (sqrt(65)*1 + sqrt(65))*-6)))\/(sqrt(20)*-1) + 5) + -5)**2.\nAnswer: -780*sqrt(13) + 21373\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/2 + 12639*l**2 - 25281*l\/2 = 0.\nAnswer: -8427, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1452 divided by -166.\nAnswer: -726\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 23*z**3 - 27*z**3 - 46.\nAnswer: 3*z**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/7 - 354*h\/7 + 6764 = 0.\nAnswer: -266, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -52. Suppose 22 = -f*o + 103. Calculate the remainder when 61 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8150645 milliseconds to minutes.\nAnswer: 0.000030251075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 3537.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 10*i)*(-2*i + 4*i - 4*i).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11688386381046 + -25.\nAnswer: 11688386381021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-518)\/(-37) - 8*1) + 38\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15507*o - 2914. Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 1389. Suppose y = -6*y + f. List the prime factors of y.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, e: 2, g: 2}. Give prob of sequence gbe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -2. Let s(y) = -4 - 4*y**3 + 7*y**3 - 8*y**2 + y - 2*y**3. Let x be s(f). Is x less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270 < 11354\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -5 (c) 3\/5 (d) 116.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*x - 120 = -387*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*f**2 - 18 - 8 + 12*f - 11 + 52 to the form d + r*f + s*f**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 0*k**2 - 2*k**2 + (2*k - 7*k + 3*k)*(0*k + 0*k - k) + 0*k**2 + k**2 + k**2 + (-4 - 1 + 2)*(10 - 11*k**2 - 10).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - s**2 + 6*s**2 + (-s + 2*s + s)*(5*s - 3*s - 3*s) to n*s**2 + f + q*s and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -18. Suppose 4*y + 17 = 5*i, 0*y + r*y + 2*i - 14 = 0. What is the remainder when 22 + (-1)\/y*-4 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003953172 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/360 - v**5\/20 - v**4\/72 + v**3\/2 + 416*v**2. Factor a(k).\nAnswer: (k - 9)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -223\/4 - -55. Let l be 104\/(-110) - 90\/(-165). Suppose j - 2 = 3*j. Which is the biggest value? (a) v (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 39. Suppose -90 = -3*q + s. What is the remainder when 89 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 658 - 652. Solve -x*r + 3*r + 5*o = 34, -5*o + 19 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3. Suppose 5*w = -42 + 97. Suppose 5*z + 0 - 1 = o, 3*o - z = w. Put b, o, -5 in increasing order.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 67*t - 2. Does 15 divide h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.7 + 19. Let j = a + 11.1. Let r = j - 13. Is 0.1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108069\/10 - -10818. Let c be ((-319068)\/(-40) + -1)\/1. Let p = -7986 + c. Calculate the common denominator of g and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104196556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 11*x**2 + 18*x + 18. Let u be w(-6). Let i be 20\/u + (-10)\/(-36). Let s = 0.06 + 1.94. Sort i, 0.8, s in decreasing order.\nAnswer: s, 0.8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/4097800 and 17\/1024450?\nAnswer: 4097800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 306, 441, 424, 255?\n\"Answer: -76*t**2 + 363*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 12*l**2 - 15*l + 4. What is the remainder when f(10) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137957 to 5 dps.\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33255938 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y + 11. Let f be z(8). Let l(p) = -2*p + 23 - 17 + p. Let v be l(-6). Solve -r = f*r - 4*q, -v = -3*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - v - 8. Is g(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 139*y + 9 - 46 - 3 + 51 to g + b*y and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/35081 or 1?\nAnswer: -3\/35081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from vssjjhqsqwws.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 755*j - 224243. Determine v(297).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 42 - 22)*((3*d + 0*d - d)*(5 - 2 - 4) + 5*d - 5*d - d)*(-9 - 4 - 7).\nAnswer: -2340*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*d - 32. Is d less than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 4, -2*t = 5*w - 39. Let p = -5 + w. Let z = -3 - -2.7. What is the second biggest value in z, p, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**7*d)\/(d**(-6)\/d)*((d\/(d\/d**(2\/3))*d)\/d)**40)\/((d*d*(d\/d**(-5))\/d*d*d*d)\/(d\/(d*d*d**(-2\/7)\/d*d)*d)*d**(3\/2)*d**(-5)) assuming d is positive.\nAnswer: d**(1531\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755815?\nAnswer: 3, 5, 41, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/9 + (-1270)\/1143. Solve 5*i = -w*q - 5 + 34, 4*i = -5*q + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-220)\/25*(-30)\/4 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - -2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**8\/6720 - 21*s**5\/20 + 36*s**2. Let o(y) be the third derivative of c(y). Let w(i) = -i. Determine o(w(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -100, -91, -78, -61, -40?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255585939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2520970 and 13\/35293580.\nAnswer: 35293580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*j + 229997 = 7303*j - 154861 - 77142 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times 585\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0247061812 rounded to six decimal places?\nAnswer: 0.024706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 4. Let h be i(6). Suppose 4*r + 1 = a - 6, 0 = 2*a + 4*r - h. Solve -y = 5*m + 10, -4 = a*m - m + 3*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-5*-1)**2 + 0 + sqrt(3) + -2 + -4 + 0.\nAnswer: sqrt(3) + 2694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694763 divided by 1323?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 304*h + 22126. Calculate c(121).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 11*o**2 + 29*o - 5. Let s be k(-5). Solve -9*n + 7 - 25 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/3 + 9412*p**4\/3 + 47134*p**3\/3 - 112976*p**2\/3 - 414728*p\/3 + 753760\/3 = 0.\nAnswer: -5, -4, 2, 4711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260 - -2862\/11. Let z = 19 + -21.9. Let o = z + 3. Is o at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.87, 7, 1.7, 1\/3, 2\/83, -3 in decreasing order.\nAnswer: 7, 1.7, 1\/3, 2\/83, -3, -3.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 7*b = 11. What is the remainder when (-113)\/(-3) + 4\/12 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000846216 rounded to 6 decimal places?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5124 + 10664 - 4921 - k - 8*k**2 - 2*k + 3*k.\nAnswer: -8*k**2 + 619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -75, -4 in ascending order.\nAnswer: -75, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = l. Let y(r) be the first derivative of 0*r - 1\/9*r**2 - l - 2\/27*r**3. Suppose y(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 2*i + 1. Let b be u(-1). Suppose 0 = 5*w - 3*c - 624, b*c + 1 = 5. What is the highest common factor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*-2 + sqrt(77))*-5)\/(sqrt(63)*6))**2.\nAnswer: 275\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16550 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128199?\nAnswer: 3, 151, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*i + 12. Suppose -24 = -15*w + i*w. Calculate the remainder when 15 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h - 85 = w, 2*h = -31*w + 33*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k - 5*k - 7*k**5 - 2*k + 3*k wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-5)\/10)\/((-2)\/220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652956?\nAnswer: 2, 663239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 0, -8, 11.\nAnswer: -8, -2, 0, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2 (c) -12 (d) 13 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (-29 - (-9 + 3) - (-1 + -8)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -53\/328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121186 or -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 196*j**5 - 1168*j**4 + 932*j**3 + 40*j**2 = 0.\nAnswer: -2\/49, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 1\/5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -23 (b) -1 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/2 + 17*u**3\/4 - 25*u**2\/2 + 57*u\/4 - 9\/2 = 0. What is u?\nAnswer: 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v + 3. Let a(i) = 1. Let w(q) = 6*a(q) - 2*o(q). Determine w(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 741 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 x when three letters picked without replacement from mmjxj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 497 and -0.4.\nAnswer: -198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weze when four letters picked without replacement from {v: 1, e: 5, w: 3, u: 2, z: 3, p: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*w = 11 + 133, 240 = -5*r + 3*w. Let a be r\/320 + (-4)\/(-10). Solve 0 + 1\/2*d + a*d**3 + 3\/4*d**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.3, -479?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m + 32. What are the prime factors of (-8)\/m - 194\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2570 - -2573. Which is the closest to 0.2? (a) -0.4 (b) -19 (c) x (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940695720 to the power of 1\/2, to the nearest integer?\nAnswer: 70290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (-1034)\/66. Suppose 0 = 5*o + j - 1. Which is the second biggest value? (a) o (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + u + 3*u - 20 = 0, -2*u + 14 = 2*m. What is the smallest common multiple of 4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -84. Suppose 0 = q*f - 4, 4*x - f - 47 = -0*f. Suppose 5*g + 2*y = 4*y + 14, -g - 2*y + 10 = 0. Calculate the remainder when x is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let h(f) = 3090*f**2 - 1854*f - 1854. Let u(i) = -2*i**2 + i + 1. Let w(s) = h(s) + 1854*u(s). Determine g(w(a)).\nAnswer: 618*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a - 112*a + 2 + 7*a + 897*a + 271*a to i*a + j and give i.\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxjjfffxjjjjfff. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:42 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 4*x + 6*x + (45 + 42 - 137)*(0*x + x + 2*x) to p*x + k and give p.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 252*l**2 - 1284*l + 150480.\nAnswer: -3*(l - 20)*(l + 38)*(l + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864465 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49096193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:29 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 74 = -2*p - 305, 0 = -5*t - 2*p + 1095. Calculate the highest common divisor of 208 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - r - 2*r + r**2 + (3*r - 5*r + 3*r)*(-4*r + 0*r + 7*r) to the form x*r + w + g*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-7) + 2 - (-264)\/(-7). Let i be (-74)\/(-12) - (b\/(-12) - 3). What is the third derivative of 31*o**i + 4736*o - o**2 - 4736*o wrt o?\nAnswer: 3720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.0555 (b) 0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n - 265*n + 4239 = 0 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:18 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -7*u**3 + 1118*u**2 + 4888*u + 5248 = 0?\nAnswer: -16\/7, -2, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 875208 >= 875237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, 28, 404, 920, 1570, 2348?\n\"Answer: -f**3 + 79*f**2 - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-851)\/(-115) - 7)\/(((-64)\/(-15))\/8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 + 3*h**3)*(-12 + 2 + 5).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 36. Let t be f(5). Suppose -136 = -t*q - 124. Solve 3*y + 0*k + 3 = -2*k, 12 = -q*y - 5*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-2))\/(7 + -9). Let p = 6 - k. What is the second derivative of -3*f - 364*f**5 + 331*f**5 - p*f wrt f?\nAnswer: -660*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 27. Find the first derivative of -32*u**2 - 10*u + o*u + 26 wrt u.\nAnswer: -64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91129 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (20 + -14 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080602505 to the power of 1\/2, to the nearest integer?\nAnswer: 32873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 291 + 29 - 94*k + 79*k.\nAnswer: -15*k + 307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = 4*j - 7, 8 = -2*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 7*j + 77. Let c be d(5). Calculate the greatest common factor of 828 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 16*f**3 + 5*f**3 - 25*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8 - 0. Let b(m) = m + 9. Let a be b(-7). Find the third derivative of 3*r**3 - r**3 - q*r**3 - a*r**6 + r**2 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33876 + 33881. Let r = -0.8 + -0.2. Which is the nearest to r? (a) -1\/4 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 1. Let m(h) = h**2 - h - 1. Let k = 394 - 362. Suppose -k*s = -31 - 129. Let q(t) = 6*t**2 - 3*t - 4. Determine s*m(i) + y*q(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 290, 435, 580, 725, 870?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 72*q = -135 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197029 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 n(z) = -29*z + 2. Let c(u) = 2*u - 1. Let g(i) = -2*c(i) - n(i). Let a(k) = 72 - 72 + 2*k. Give g(a(p)).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-312)\/(-2717))\/8)\/(23\/759)\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -781, -9, -4, -3, 12 in ascending order.\nAnswer: -781, -9, -5, -4, -3, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 63369527.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b + 69. Let l be v(-11). Let n(c) = c**3 + 7*c**2 - 9*c - 3. Let k be 1\/4 - 66\/8. Let o be n(k). What is the highest common factor of l and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 9. Let j be (-21)\/(-9) - (-2)\/3. Let r be j + -1 - (-14)\/(-6). Which is the biggest value? (a) r (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4573 and -266?\nAnswer: -121.6418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-134)\/(-201))\/(1\/72) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*q + 9 = -169*q. Let j = -18 - -13. Put q, j, 5 in ascending order.\nAnswer: j, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329*j - 5467 = -1400*j. Calculate the remainder when 1228 is divided by j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 30*w + 168. Let b be p(14). Let s be (-8)\/20 - (-494)\/10. What is the greatest common factor of b and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 6*z - 6. Let x(b) be the second derivative of -b**5\/20 - b**4\/3 + b**3\/6 + 3*b**2\/2 + 8*b. Let g be x(-2). Give d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*t**2 - 337*t**2 - 363*t**2 - 208*t**2 to u + x*t + s*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e53 - 97?\nAnswer: -6eea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 0.1. Let y(z) = z + 17. Let t be y(-11). Let i be 2\/8*t\/9. Is i at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104.5935591+-16\nAnswer: -120.5935591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gin when three letters picked without replacement from ooopwoonwonoiowogoi?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 54 = 12. Calculate the least common multiple of r and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 2 v when four letters picked without replacement from vhelmmv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11680000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5808\/165)\/(-44))\/(((-121)\/(-60))\/(-11)).\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/(-150))\/(((-60)\/(-30))\/(5\/(-3)))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 + 4*j**3\/3 - 13*j**2\/2 - j + 11. Let s be i(-6). Suppose -5*h + 0*h + 130 = s*g, -5*h = 2*g - 61. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -55*d**2 - 1932*d + 1791. Determine a(-36).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16382 and 92?\nAnswer: 753572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159565*k**2 + 17326*k**2 + 101940*k**2.\nAnswer: 278831*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903 is divided by 1859?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 281. Suppose 0 = 7*a + 121 - v. Solve -13 + a = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.4341 nanograms in tonnes?\nAnswer: 0.0000000000003324341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 38 = -4*w. Let q = -5 + 31. Suppose -3*u + u = -q. What is the remainder when w is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74a86 (base 12) in base 10?\nAnswer: -153606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2853 - 275 = -40*q + 224*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.5. Let a = -1\/38 - -14\/171. Is a not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, -2.\nAnswer: -39, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 218.\nAnswer: -25\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70 - -90?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g + 15. Suppose 3*k = 6, -u - 4*u + 6 = -2*k. Calculate the remainder when y(u) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302 and 1605562766.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 - 5*q**3\/2 + 8*q**2 + 8*q. Let w be d(-14). Let k = -16 + w. What is the remainder when 54 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1552 = -r + 8087. Suppose c - r = -4*c + 5*f, c - 1292 = -4*f. What are the prime factors of c?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 + 4*k**3\/3 - 9*k. Let s(m) be the second derivative of i(m). Let v(x) = 4*x**2. Calculate s(v(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2\/1271, 2, 2\/3, 1, 2\/13?\nAnswer: 2\/1271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:20 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Let v = -10 - -15. Suppose -11*w = -7480 + 7436. Put a, w, v in descending order.\nAnswer: v, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 18 = -16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (0 + sqrt(125) - sqrt(5))**2) + (4 + sqrt(605))**2 + (sqrt(5) + sqrt(30)\/sqrt(6) + 0)**2 + 1*(2 + sqrt(5)).\nAnswer: 90*sqrt(5) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 403, 275, 147, 19?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 327 (b) 5 (c) -0.19 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3 + 15 - 12 + 9*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(-7 + 436759\/18980 + -16)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109558641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 5. Let w be (-6)\/12 - 5\/a. List the prime factors of (w\/4)\/(2\/48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 79. Let c = 23 + x. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - h**4\/2 - 2*h**3\/3 - 7*h**2\/2 + h. Let i be s(-6). Let v = i - 7. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322298374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*u**2 + 68889440*u + 19682700.\nAnswer: -5*(u - 1968270)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/8 - 5*k**3\/12 + k**2\/2 - k\/4 + 14. Factor f(d).\nAnswer: (d - 1)**2*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 6*m + 602. Let o be g(-24). Which is the third biggest value? (a) -4 (b) -1 (c) 2 (d) 4 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1548765*p**3 - 8348213?\nAnswer: 4646295*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -714991 - -19114991. Suppose -87*b + 88*b = z. What is b rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100 (base 2) in base 10?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3056711 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 11645?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/3, -6\/19 in decreasing order.\nAnswer: 4\/3, 0, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {i: 5, k: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/8 - 193053915*l\/4 - 12423271365609075\/8 = 0.\nAnswer: -64351305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 5688 = -5622 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 67. Solve 5 = 3*r + o*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 0*c - 64*c + 64*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 - 6*d**2 - d + 6 = 0. What is d?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0. Let p = 0.7 - u. Let n = p - 5. Which is the closest to -0.1? (a) -0.5 (b) n (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5283.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*z**2 - 63*z - 64 + 110 - 46 - 3*z**3.\nAnswer: -3*z*(z + 1)*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7271809 (b) -1 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16645, -16671, -17035, -17905, -19449, -21835?\nAnswer: -25231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -3.06.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 1011011?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/336 - 2*x**7\/105 + x**6\/20 - x**5\/15 + x**4\/24 + 4*x**2. Factor m(r).\nAnswer: r*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-4*((-45)\/(-18))\/(5\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 - 96*p + 204 = 0. Calculate p.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 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: Suppose 5*b = -1442 + 472. Is (-3 - b) + 0\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 116 = 8*s. Let o = s - -8. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-1\/2)*r))**(-8))**(8\/9))**12 assuming r is positive.\nAnswer: r**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7973*l - 18572.\nAnswer: 7973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28995156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nngn when four letters picked without replacement from {n: 7, g: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -746*o - 2243. Determine h(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114333 (base 5) to base 3.\nAnswer: -12221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.551\nAnswer: 0.1653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77913853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (22 + -6)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 515970*q**3*r**2 + 12*q**2*r - 4*q*r**2 - 5572248*r**2 wrt q.\nAnswer: 3095820*q*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 6 = 17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -7 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11888656 divided by -97448?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h*h\/(h\/(h\/(h*h*h**(-1\/2)))))\/h*h)\/h)\/(h*(h\/(h\/(h\/(h*h*h\/(h\/h**(-2\/5))*h))))\/h)*(h*h*h**1)**(-4) assuming h is positive.\nAnswer: h**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 18?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 356, 709, 1062, 1415, 1768, 2121?\n\"Answer: 353*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80010913?\nAnswer: 29, 347, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 6, 1 in decreasing order.\nAnswer: 6, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 6, -0.3, 56\/3, -9.\nAnswer: -9, -4\/5, -0.3, 6, 56\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1879 (base 14) to base 15\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, -221, -972, -2427, -4820, -8385, -13356?\nAnswer: -19967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -710\nAnswer: 11\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 25, 0.4, -10, 0, -0.0397 in decreasing order.\nAnswer: 25, 0.4, 0, -0.0397, -0.9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + (-8)\/(-20). Solve -4*r + t = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7600795?\nAnswer: 5, 1520159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 + z - 3. Let u be i(8). Suppose u*w - 27 = 2*w. Let q = w - 5. What is the smallest common multiple of q and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25057, 100311, 225729, 401305, 627033, 902907, 1228921?\nAnswer: 1605069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - -46 - (115 - 84). Solve j*s**2 + 136\/5*s - 12\/5*s**3 - 96\/5 = 0 for s.\nAnswer: -3, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18071.\nAnswer: 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 60225165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:20 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 + 2252*p - 22864. What is c(440)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from sfgfr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1204\/2107*35\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2110 = -5*u, o - 2*o + 1055 = -4*u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21 + d**2 - 1563*d + 8*d**3 + 11*d**2 + 1561*d. Let s(q) = -3*q**3 - 4*q**2 + q - 7. Let b(p) = 11*s(p) + 4*t(p). Calculate b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 + 0*j**2)*(-2*j**2 - j**2 - 4*j**2 + (4*j**2 - 3*j**2 - 2*j**2)*(-1 - 3 + 5)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -23*y**2 - 50*y + 388. Let m be r(5). Is m <= -438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39071?\nAnswer: 89, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 32727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021220022 (base 3) to base 6.\nAnswer: -2353225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -834, -1, 2 in ascending order.\nAnswer: -834, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -30, 5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -987 - -984 - (1 - -1 - 1 - -9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 7219, 2, -3, -3\/2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 12*z + 3*z**2 + 4*z**2 + z**3 + 7. Suppose i - 3*y + 12 = 0, -4*y + 2*y = -3*i - 29. Is x(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7415 + -7406. Solve -4*n = 5*g + 40, -8*n - 15 = 5*g - p*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*29 - (-15)\/(-10)*-2. Let u = -66 - c. Suppose 10 = 4*n - u. Solve -p - n = -t - 3, -3*t - 13 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/2 + 5)*8. Suppose 0 = -3*v + s + 523, -h*v + 357 = -2*v + s. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/472167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (48\/42)\/(20*10\/140)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 0)*-2)**2 - (sqrt(833) - (-1 + sqrt(833)))**2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 + 201. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 144.1, -8, -0.2, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*w + 3164 = -6*w, 2*i = -w + 1582. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5632 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168876.9680054 - 168877. Let j = h - -0.032. Round j to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3966 - -7873. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 2733 = -2837 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34863?\nAnswer: 3, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (1*-7)\/((-9)\/2 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 3, 4 in ascending order.\nAnswer: -229, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.408 - 12.358. Which is the closest to 1? (a) m (b) 0.248 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-4 + sqrt(704) + -1 + sqrt(704) - ((sqrt(704) - (1 + sqrt(704))) + sqrt(704))*-6)**2 - ((4*2*sqrt(704))**2 + 4)))*-6.\nAnswer: -726 + 8448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c + 30. Give i(7).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 4. Suppose -w*q = -6*q. Suppose -4*d + q*r - 2 = 3*r, -2*r = -3*d - 10. Sort d, -5, -4 in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 25*s**2 - s + 1. Let h be i(1). Suppose 0 = 5*m + 5, 2*m - h = -o + 6*m. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + x)*(-3*x + 2*x**3 + 3*x)*(0 + 1 + 3)*(1 - 5 + 2) in the form j*x**4 + g + d*x + w*x**3 + s*x**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (102\/17)\/(33\/32197)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 231. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -753481338774*i**2\/11 - 8504952*i\/11 - 24\/11 = 0.\nAnswer: -2\/354373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 - -87. Suppose -2*q = 4*m - v, 5*m - 278 - 121 = 4*q. Suppose 5*b - 368 + m = 0. What is b rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 413.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813782181 to the power of 1\/3, to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2307312 and -41\/18.\nAnswer: 2307312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 3, j: 2, t: 1, f: 6, a: 1, v: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-68)\/(-12))\/(((-352)\/(-168))\/22). What is the second smallest value in -5\/4, h, 0.3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15 = 5, 5*s + 5*i - 2090 = 0. Let p = s - 387. Calculate the greatest common factor of p and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**7\/147 + u**6\/105 + 13*u. Let d(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 121*r + 160. What is q(29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85778 + 7*d - 167471 + 81689.\nAnswer: 7*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3 - -2)\/((-1)\/3). What is the nearest to 0.06 in 0, a, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*n + 22, 4*g - 7*g + 4*n = -13. Let w = 59 - 35. What is the lowest common multiple of g + -2 + 27 + -2 and w?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7489, 6340, 4431, 1762, -1667, -5856?\n\"Answer: -380*f**2 - 9*f + 7878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20463317 + 0?\nAnswer: 20463317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/8 - -5\/8. Let x = 174467 + -174449. What is the smallest value in 0.4, k, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/6 (c) 2\/19 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 18*b**2 + 63*b. Let a be y(21). Suppose a = 386*p - 384*p - 666. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 774022 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2 - 10*h + 17. Let o be q(7). Which is the second biggest value? (a) o (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.2824739 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v - 4*v - 4, 338*y - 333*y - 5*v = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 + u + 8. Let i be s(0). What is the common denominator of 38\/15 and 98\/i + (-5 - -3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*o + 5023 = 0, 4*v + 86*o - 81*o = 20086. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 1241864*h - 3725628.\nAnswer: 4*(h - 310469)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -4)*(8 + -4)\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168194*i**5 + 8*i**4*s - 7150341*i*s - i wrt i?\nAnswer: 3363880*i**3 + 96*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 810986 to the power of 1\/2, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447 < 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:12 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d - 76 = 4424. Suppose i + 88 = f, 3*i = 2*f - 245 + 74. Let h = d + f. Solve 0*x + 12 = 5*y - 3*x, -4*y = -h*x - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/(h\/h**(-5)*h*h)*h)\/(h*((h*h**(-12))\/h*h*h)\/h*h))**(8\/5) assuming h is positive.\nAnswer: h**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 17. Let y = -22 - z. Let h = y - -6.8. What is the nearest to 0.2 in -4, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*o**2 + 5 + 67828*o - 67750*o.\nAnswer: 3*o**2 + 78*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 394, 829, 1276, 1741, 2230, 2749, 3304, 3901?\n\"Answer: i**3 + 428*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566586015*c**3 - 3552654*c**2 + 44?\nAnswer: 3399516090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6747 + -6747.6. What is the smallest value in 2\/5, x, 0.5, -2\/87?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11601 (b) 1\/8 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*d + 1. Let -11*s**4 + s**3 + 14*s**4 - s**3 - d*s**3 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 8) in base 4?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -49. Let g be (-23)\/7 - (-10)\/s. List the prime factors of g\/(-15) - (-44)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221201100021202 (base 3) to base 5\nAnswer: -11444314042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000204 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:32 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-18)\/(-40)))\/(-234*37\/(-1924)).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.7. Suppose 0 = 4*i - i - 15. What is the third biggest value in x, 3, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - 3*f, 3*q - 2*q - 4*f = -5. Suppose 4*g - 4 = -0. Sort q, -10, g.\nAnswer: -10, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5088, -40768, -137622, -326238, -637204, -1101108, -1748538, -2610082?\n\"Answer: -5098*i**3 + i**2 + 3*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/(59755\/43364) - (-3 + -1 + (-134)\/(-34)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 60*a**3 - 384*a**2 + 704*a.\nAnswer: -2*a*(a - 22)*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152905.\nAnswer: 5, 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6102 - 7883 + 70*p + 1781.\nAnswer: 70*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 2638.5.\nAnswer: 3693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/236 - 1741\/118. Let b = s - -2. Let g = -5617\/48 + 737\/6. Calculate the common denominator of b and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5910*j + 2870. What are the prime factors of a(-6)?\nAnswer: 2, 5, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 3 + 1*4. Let t(l) = l - d*l + 4*l. Let v(w) = -2*w + 4*w + 2*w**2 - 2*w. What is v(t(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41865231, -41865229, -41865227?\nAnswer: -41865225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1790\/19 + 40289\/133. Does 208 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-8))\/(136\/48))\/(((-1290)\/(-20))\/(-43))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 6. Suppose -8*y - 57400 = 22*y + 11*y. Let i be (-11 - -8)*(0 - y\/c). Round i to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - -3. Let z = h - 15. What is the remainder when 70 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*-1 - (-3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 15) to base 11\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7213768 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (379 - (1 - 3)) + 3. Suppose -3*o = o - b. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -885 * -57286\nAnswer: 50698110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 122 - 137 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e1 - 4?\nAnswer: -e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus -4839853335?\nAnswer: 4839853286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 3*s)*(s - 15 + 15) - s**2 - 2*s**2 + 4*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let x be (0\/3)\/(-3*r). Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -996 divided by -1\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (10 - (-7 + 17 - 20 - (-7 + -1))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3020170 by 38230.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -267, 2\/539, 0.09 in descending order.\nAnswer: 0.09, 2\/539, -1, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*b - 29, -b = 2*j - 12 - 14. Let i = j + -4. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -3*i + 6*i. Factor 0 - 2\/9*y**3 + 2\/9*y**5 + 2\/9*y**4 + i*y - 2\/9*y**2.\nAnswer: 2*y**2*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, b: 5, r: 1}. Give prob of picking 2 b and 1 e.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 8*i**5 - i**5 - 8 + (11*i**5 - 7*i**5 - 6*i**5)*(-2 + 2 - 1) + (2*i**2 - 3*i**2 + 0*i**2)*(4*i**3 - 5*i**3 + 3*i**3).\nAnswer: 7*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3344 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*1\/(-2)*3898\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369 + 571 = 97*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/189*9*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 1 - 1)*(-2 + 2 + 2)*(p + p - 3*p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490459 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 = 5*j + 4*f, 5*j = j - 2*f + 538. Suppose -d - 2*w = -3*d + 156, 2*d + 2*w = j. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1084, -1098, -1050, -910, -648, -234, 362?\n\"Answer: 5*d**3 + d**2 - 52*d - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -10?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28976497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -6 - 8) + (-5)\/(0 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348\/638*(-33)\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3 + (-4 + 3 + 3)*(0 + 0 - 1) - 2 + 2 + 1 + 0 + 6 - 4 - 1 + 0 + 2 + (6 + 1 - 10)*(1 - 4 + 5))*(1 + 2*w - 1).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-30 - -38) + -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7494, 7801, 8102, 8397, 8686, 8969, 9246?\nAnswer: 9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 - (-40)\/(-30) - (-28 - 107932) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*f**4 - d**2*f**3 - 2*d**2*f**2 - d*f**4 + 290*f**2 + 19*f wrt f.\nAnswer: 72*d**2*f - 6*d**2 - 24*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87840*f*z - 11*f + 3*z - 23374 wrt z.\nAnswer: 87840*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n = 74, -3*n + 98 = 5*c + 20. Suppose -2*z + c = 2*g - 6*g, z - g = 8. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131.9691 - 0.0309. Let j = i - -99.46. Round j to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 16*s + 126. What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221594272 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 268, 2\/7, -2, -5?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 774567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 + 82*q + 52*q - 29*q + 2 + 11*q**2 + 233*q in the form g*q + u*q**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -131*n**2 - n + 1719. Let d(x) = 784*x**2 + 5*x - 10297. Let l(r) = 6*d(r) + 34*y(r). Differentiate l(u) wrt u.\nAnswer: 500*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 take away 4662750365?\nAnswer: -4662750365.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260 + -10. Let k = -148 + x. Let n = k - -121. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.575 times -2.1357\nAnswer: -11.9065275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8335 + 1032*h**2 - 1031*h**2 - 12*h - 7*h - 11*h + 32*h as y + x*h + k*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*o**4 + 8*o**3 - 5070*o**2 + 103865133*o.\nAnswer: 1152*o**2 + 48*o - 10140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 250.5 * 0.3743\nAnswer: 93.76215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keeeyikkkeeaikee. What is prob of picking 1 i and 1 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 292 - 9 = 939 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/4 + u**3\/3 - 2*u**2. Suppose 0 = -0*x + 2*x - 10. What is the units digit of m(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34401.73 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 2*n**4 - n**3 + (0*n**2 + 0*n**2 - 5*n**3)*(-1 - 2*n + 1))*(-1 - n - 2*n + 2*n).\nAnswer: -8*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17650 - 16948. What is the least common multiple of h and 6?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*k + 2*i - 3*i, i + 16 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 + 5*f**3\/3 + 5*f**2\/2 + 9*f + 633. Calculate s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*g - 323*g = -2199. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425769342*p**3 - 18912898*p**2 + 2.\nAnswer: 2554616052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838767343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022482 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 18*y**2 + 8*y**2 - 49*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 608358 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -17. Solve -a - n = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let d(t) be the second derivative of 0*t**2 - t - 6 - 1\/2*t**3. What is l(d(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 1 + 0 - 4 - 3 + 0*z.\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012639702 rounded to seven decimal places?\nAnswer: -0.001264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-131)\/((-22794)\/(-3915)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 86257.54um?\nAnswer: 8.625754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 5 = -36*x. Suppose -x = -2*s - 1, -3*d = s + 136. Let o = d - -50. Solve o*q + 23 = m, 0*m + 3*m + 5*q + 16 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*n - 252. Calculate the greatest common factor of n and 1078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.17 (b) 5 (c) -2 (d) 0.2 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-37 - -11) + 6). Solve -7*k + 48 = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -m - 162. Find the second derivative of 26*t**2 - 41*t + 3 - 7*t**2 - m + 8 wrt t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116466 + -1150?\nAnswer: -120646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s + 107. Is 11 a factor of j(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1545?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1422 divided by -6\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12*-1*(-18)\/4. Factor 3*u**2 + 0*u - 4*u**o - 1\/4.\nAnswer: -(2*u - 1)**2*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*244\/12 - 0. Suppose 0*z - h - u = -3*z, z - 4*h - 35 = 0. Calculate the remainder when 73 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7350 and 169452?\nAnswer: 207578700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14839595?\nAnswer: 5, 2967919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 817140 rounded to the nearest 1000?\nAnswer: 817000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + s - 4*s = 8, 4*w + 3*s - 4 = 0. Differentiate 0 - 6 + 4*k**4 - k**4 + 0*k**w with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542464 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqwbqwwwqquuqwww. What is prob of picking 1 h and 1 u?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 42*l - 158. Let r be h(38). Which is the second biggest value? (a) 3\/8 (b) -10\/9 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25b (base 16) to base 6\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -38*a + 17. Let w(l) = 173*l. Determine w(m(v)).\nAnswer: -6574*v + 2941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -2 + 2\/3*u**3 - 1\/2*u**2 - 9*u. Give q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 21*j**2 - 39*j - 456. Determine q(-20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mimj when four letters picked without replacement from {i: 1, m: 2, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6510, 52106, 175884, 416934, 814346?\nAnswer: 1407210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 3}. Give prob of picking 1 f and 2 q.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -2339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -x, 3*x - 6*n + 4*n = 10. Let p = 9 + 1. Suppose -2*b = -0*b + p. Sort b, -2, x in decreasing order.\nAnswer: x, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -11*q + 40. Solve -3*m - q = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 49.49, -0.5, -2, 3, -58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 28*r**2 - 6*r + 12. Let d be a(-14). Suppose -d = -21*y + 9. Let n be (1*3)\/(3\/2). Solve -4*z + 15 = -y*i, z = n*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16781 + -16321. What is the greatest common factor of 4232 and w?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**2 + 41*c**2 - c + 56*c**2. Let r be j(1). Suppose 4*p = 2*z - 72, -2*z + r = z - 2*p. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 84300 = 11*u - 16*u, -4*d = 2*u - 33726. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 32*q**2 - 92*q - 52. Calculate g(-29).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 895 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77786665?\nAnswer: 5, 11, 19, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, w: 2, b: 5}. What is prob of sequence bbf?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -15873?\nAnswer: 89\/15873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 + 28*w**4 + 74*w**3 - 304*w**2 - 728*w + 1568 = 0. Calculate w.\nAnswer: -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2984 + -2389. What is the closest to 2\/7 in i, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1) + (-61)\/((-1281)\/126). Put 0, -3, t, -2 in decreasing order.\nAnswer: t, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/(-14) + 0. Let f = 869.9 + -865.9. Which is the biggest value? (a) f (b) q (c) 2\/15 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + s + 4, -2*r + s + 10 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8037 * 3\nAnswer: -24111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/16 - 2\/8. Let h = 317\/2 - 159. What is the closest to h in -1\/2, -3, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + -1*(-3*sqrt(204) - sqrt(204))))\/(sqrt(108)\/sqrt(36)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 14 + 39 + -90?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-1 + (sqrt(567) + (sqrt(567) - (sqrt(567)*-1 + sqrt(567) + sqrt(567) + sqrt(567))))**2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*5*-2. Suppose -p*f = 19 - 64. Let j(k) = k - 1. Let u be j(4). What is the greatest common factor of f and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 102*r - 1146. Give i(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1477729 + 49*x**2 - 1477729.\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Calculate the common denominator of (j\/45)\/(16\/(-820)) and 39\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.002 and -0.2258188?\nAnswer: 0.2238188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 14. Let k = 36 + -31. Suppose k*w - 34 + o = 0. Solve 0 = -2*z + w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -26*h - 24. Let i(l) = -10*l**3 + 290*l**2 - 2*l + 56. Let u be i(29). Determine d(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Suppose 110*x - 822 = 828. Calculate the least common multiple of x and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-6)\/54*-51. Suppose n*g = 2751 - 11081. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4549 and -1885690.27.\nAnswer: -1890239.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589094 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from {i: 1, b: 3, z: 2, e: 1, a: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 1. Let u(n) = 4*n + 2. Let i be (2 - 3)*2 - 1. Calculate i*f(s) + 2*u(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/(-45))\/((-20)\/75). Let z be (-21)\/(-9) - (-6)\/9. Solve 0 = d + z*u + g, -3*d - 15 = -2*u - 2*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**6\/v)\/(v\/(v\/(v*v**(-15)*v*v))))**(-2)\/(v**(1\/2)\/v**(1\/29))**(-9) assuming v is positive.\nAnswer: v**(-1961\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -138, -622, -1434, -2580, -4066, -5898, -8082?\n\"Answer: -j**3 - 158*j**2 - 3*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 6, 24 in increasing order.\nAnswer: 6, 24, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:31 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*-3*3. What is the units digit of 123\/4 + 3\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 - 661 = -2*g. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*h**6 + 9*h**4 + 9455*h**3 - h**2 + h + 1000013 wrt h?\nAnswer: -6960*h**3 + 216*h + 56730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24200225 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 7*j - 4. Let b(l) = -l**2. Let w(c) = 4*b(c) + i(c). What is w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 2}. Give prob of sequence aw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:12 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-3) + -5 + 2. Let b = 8 + -4. Find the third derivative of -2*i**2 + i**3 - 5*i**r + b*i**3 + 2*i**4 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1742 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 914.903 nanometers?\nAnswer: 0.000000914903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5146845 divided by 6\nAnswer: 1715615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*q + 22 - 2\/3*q**2.\nAnswer: -2*(q - 3)*(q + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7202, 7213, 7238, 7283, 7354, 7457, 7598?\n\"Answer: m**3 + m**2 + m + 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -93 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/2667 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482114675?\nAnswer: 5, 219284587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 128593*w + 192889\/3.\nAnswer: (w + 192889)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2050 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*i**3*v - 3705*i*v**3 + 23780*v**3 - 4*v wrt i.\nAnswer: -96*i**2*v - 3705*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (17 + -5 - 12) + 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = y - 2*y, -4*x = 0. Let p be 1 - (-3 + -73 + y). Suppose -c + 15 = 2*o, -2*o + 10 = -c - 15. What is the greatest common divisor of p and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7*y + 0 - 21\/10*y**5 - 77\/12*y**4 + 0*y**3 + 0*y**2. Find the third derivative of c(u) wrt u.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 4*l**4)*(14 - 82 + 40).\nAnswer: 112*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Suppose 13 - 4 = 3*z. Let r(a) = -1 + 4 + a - z. Give s(r(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 44539635\/2 and 22269817 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038499 rounded to four decimal places?\nAnswer: -0.0385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = 5*j + 12*j + 490 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207\/(-2485) + 2\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44 from 19750005169.\nAnswer: 19750005125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21)*p\/((p*(p\/((p**(-40)\/p)\/p))\/p)\/p)*p**(-30)*p*p*p\/(p\/(p**(-1\/32)\/p*p)) assuming p is positive.\nAnswer: p**(-2881\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/150 and 67\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*z + 4*i, z - 269*i = -264*i + 7 + 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6005 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-90)*(-5)\/(-3) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-3))\/((-952)\/136)*366\/(-16)?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11694 = n, n - 71*x - 11708 = -67*x. What are the prime factors of n?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-30)*1050\/280. Let h = 4.1 + -1.1. What is the closest to a in -2, -3\/5, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242 - 402436?\nAnswer: -402164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/6 + 263*t. Let g(y) = -3*y + 36. What is m(g(f))?\nAnswer: -18*f**2 + 432*f - 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 3*v**2 - 4*v + 3. Suppose -3 = -y + 1. What is the smallest common multiple of q(y) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 2*d + 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = 2*h - 1, 2*h - 4 = 5*i. Put 1\/8, -4, h in increasing order.\nAnswer: -4, 1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*v - 540, 3*m = 3*v + v - 548. Let y = v + -140. Put -1, y, -5, -23 in decreasing order.\nAnswer: y, -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44.58669 millilitres?\nAnswer: 0.04458669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4 + 8. Let f = -7 - 11. Let s be p\/f + (-21)\/(-27). Let n(g) = 7*g**3 - g. Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/5697 and -109\/1545786.\nAnswer: 4637358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((9\/3)\/(-3))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1272 or 1262?\nAnswer: 1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r - 8*r)*(5 - 2 - 1)*(4 + 0 - 6).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4870.885214 to the nearest 10.\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/95 - (34\/10 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 10*s**2 - 6*s + 2. Let v(p) = 2*p**2 + 2*p. Let u(f) = m(f) + 4*v(f). Calculate u(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 + x + 5. Let c be g(0). Let p be -1*(1*-4 - 1). Solve 2*j - p*j = -c*m + 17, 8 = -2*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 87. Which is the third smallest value? (a) 0.3 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.3 + -31.3. What is the second smallest value in c, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9237478849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 201*b - 10830. What is t(50)?\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4218768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g)**(1\/52)\/(g*g**(-6\/7)*g*g**(-4)*g))**(-7) assuming g is positive.\nAnswer: g**(-2063\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*q + n - 874, -q = -5*n - 209. Let j = q - 5473\/25. Is 1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13034.88 - -13002.87995. Let m = n - -32. Round m to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from iukaikph.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0307063 meters in millimeters?\nAnswer: 30.7063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -461 - -464. Let j = 0.5 + 1.5. What is the nearest to k in -1\/3, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.79 rounded to the nearest integer?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 19*z**5\/20 - z**3\/6 + 23*z. What is the second derivative of v(r) wrt r?\nAnswer: 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51115439 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1636\/15 + -440087\/4035. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/((-30)\/(-63)))\/((-18)\/(-48)). Is -29 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306900000 rounded to the nearest one million?\nAnswer: 307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 22. Let r be k(11). Let a = 59 - r. Calculate the remainder when 73 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3 (b) 1\/5 (c) -115 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyeeyy. What is prob of picking 1 e and 1 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2\/9 (c) -0.05 (d) -2 (e) 2 (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 2 b when four letters picked without replacement from {a: 2, i: 2, w: 2, f: 3, b: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o - 14*o + 16*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -7. Suppose -5 + 53 = 2*i. Let m = i - 24. Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ercs when four letters picked without replacement from {c: 2, r: 4, s: 2, e: 1, d: 2, u: 4}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45075?\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 14 + 7)*(2*u**2 + 2*u - 2*u)*(-31 - 13 + 38) to the form i*u**2 + r*u + d and give i.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 173 = -35*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123962, 247891, 371792, 495665, 619510?\nAnswer: 743327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 4783 = -6959. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {j: 3, x: 4, n: 3, w: 2, r: 2, e: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - -6*(sqrt(3456) - sqrt(24)))\/(sqrt(72)\/(sqrt(54)\/sqrt(9))).\nAnswer: 67*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 + 4 - 1) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 6) to base 10.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7567231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -1213, -3279, -6223, -10075?\nAnswer: -14865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105432*f**2 + 96004*f**2 - 201431*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.234 + -0.434. What is the second biggest value in v, 0.3, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -68. Let p be 24\/11 - 6\/u. Let i(f) = -6*f + 2*f + 3*f - p*f. Let r(b) = 2*b**2. Determine r(i(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*f + 2937 = 21771 for f.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773746?\nAnswer: 2, 263, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6 - 0. Suppose -447 = -p*u + 3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -97, -222, -397?\n\"Answer: -25*h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a**2 - 3*a + 3. Let c(q) = 5*q**2 + q - 1. Suppose 0 = -77*b + 581*b - 5544. What is b*c(j) + 4*p(j)?\nAnswer: -5*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 434615103 to the power of 1\/3, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**1\/u)\/u)**(-33)*(u\/(u\/(u*u**(2\/17)\/u)))\/u*u**(-1) assuming u is positive.\nAnswer: u**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = s + 12*x - 69, 5*x + 283 = 4*s. Solve 25*k - 53 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1 - 3*r**2 - 4 + 2 - 5*r + r**3. Suppose -3*y - 19 = 2*p, 5*p - 12*y + 7*y - 65 = 0. Determine g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 76, 2\/7, 1\/12, 10\/7, 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103 divided by -4.\nAnswer: -2103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -171.\nAnswer: -119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 8*d + 1. Let r(l) = l**2 + 21*l + 9. Let v be r(-21). Calculate w(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 3)*(j - j**3 - j) + 9*j**3 - 2*j**3 - 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/50 + 3*s**5\/50 - 4*s. Factor x(r).\nAnswer: 3*r**3*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 5, 2\/7, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - (1 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**6\/120 - 13*m**5\/60 - m**4\/6 + 5*m**3\/2 + 2*m**2 + 5749*m. What is v(-13)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -13\/56*u**8 - 11\/3*u**4 + 24*u + 0 + 0*u**3 + 0*u**5 + 0*u**2 + 0*u**7 + 0*u**6. Find the third derivative of k(c) wrt c.\nAnswer: -1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 + 125 = -30*j + 511 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-24))\/(200\/(-2320)). Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(4 + 5 - o - 5).\nAnswer: -2*o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2830 is divided by 2819?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 31 = -1. Let o = d - 4. Find w, given that -2 - 4*w**2 + 3*w**o + w + 3*w - w**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18*m - 5. Let w be d(-4). Let x = -47 + w. Suppose 0 = 2*t + 2*c + 3*c - x, 2*t + 3*c = 12. Solve t*q = 5*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, e: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 13 + 11. Suppose c*b - 10*b = -22. Which is greater: b or -12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045390.\nAnswer: 2, 5, 23, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.6 - 698.6. Let v = h + 584. Suppose 0 = j - 3, -k = -3*k - 4*j + 14. Is k bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 2, -62\/29 in descending order.\nAnswer: 2, -4\/5, -62\/29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 86 - 94 = 0. Solve -3*r + 32 = -o - 3*o, -5*o = -5*r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 28 (b) -0.2 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 136 = -3*b, b + 4003*x - 92 = 4000*x for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(6 + 2 - 22)*(-2*u + 5*u + 0*u + (-4*u + 3*u + 3*u)*(-2 + 0 + 0) + 5*u - u - 3*u + (-1 + 0 + 3)*(-2*u + 3*u - 5*u)).\nAnswer: -112*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*v + 5 - 190*v - 22*v - 418*v.\nAnswer: -563*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 4. Let x(f) = -4*f - 35. Let i be x(-9). Sort 5, i, c in increasing order.\nAnswer: c, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9454 + -9455. What is the nearest to g in -0.4, -50, 2\/5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9*l**2 - 38*l**2 + 16*l**2 + 12*l**2 - 65*l.\nAnswer: -l**2 - 65*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 216*p + 9*p**3 - 204 + 15*p**3 - 4*p**4 - 108*p**2 + 2*p**4 + 42 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22\/7, 27, -27, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:35 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(58\/(-2175)). Do -24 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:46 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1090)\/(-85) - ((23 - 14) + -17)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 6. Let o(f) = f**3 + 10*f**2 - 24*f - 5. Let u be (-1 - (-4 - (3 - 4))) + -14. Let t be o(u). Let k(d) = 4*d + 7. Give t*h(r) - 4*k(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 17*d = -0*d - 99 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53956 rounded to the nearest 100?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210011 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*q + 262*q = -11507 + 399 - 7716 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-49))\/((-140)\/490)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x**4 - 9012*x**3 + 104280*x**2 + 230816*x - 29184 = 0.\nAnswer: -2, 3\/25, 16, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:28 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + r + 0*r - 58*r**3 - 4279 + 4277 to the form u*r**2 + d + f*r + k*r**4 + h*r**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*n**3\/4 + 521*n**2\/2 - 42*n.\nAnswer: -n*(n - 28)*(37*n - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101101010000100 (base 2) in base 9?\nAnswer: 534286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 2*v. Is (-1)\/(0 + v\/158) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097554 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)*b\/(b*b**(12\/19)*b))**(-30) assuming b is positive.\nAnswer: b**(7200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/52941 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259646343?\nAnswer: 3, 11, 19, 414109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 735 (base 9) to base 13\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 24822.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) 4 (c) 0.1 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2375*p**2 - 524*p**2 - 607*p**2 - 610*p**2 - 589*p**2.\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3*w**2 + 699*u**3*w - 164*u**2*w**2 - 7*w**2 - 37 wrt w?\nAnswer: -4*u**3 - 328*u**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbpdpabdpadppapdbba. What is prob of picking 4 a?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5124 - 9.7894. Let x = -13.918 - b. Let o = x - -0.041. Round o to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 6*y - 4. Let r be z(-6). Let t(m) = -m**3 + 5*m**2 + 5*m + 7. Let w be t(6). Which is the nearest to w? (a) 0.4 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 + 83 = 35*y. Let x be 4\/y*66\/44. Which is the third smallest value? (a) -4\/5 (b) x (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 172*m - 2. Let v(n) = -2012*n. What is v(y(s))?\nAnswer: -346064*s + 4024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -74*y. Let b(q) = -667*q. What is 5*b(f) - 46*r(f)?\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0.4, -2\/9.\nAnswer: -1, -2\/9, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 29*r + 47*r**3 + 42*r**3 + 27*r**2 - 90*r**3 - 33. Let o be t(28). List the prime factors of -4 + 2 + -2 - (-173 + o).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/42 and -31\/792?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2868, 11470, 25806, 45876?\n\"Answer: 2867*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -124. Let q = 0.06 + -0.26. Which is the second smallest value? (a) h (b) q (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.6 + -13. Let t = d + 0.4. Let r be (16\/12)\/(20\/6). Which is the closest to 2\/3? (a) t (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 + -14 - (-84 - -81))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3522 is divided by 298.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**2 + 14*g - 9. Let j = 25 - 19. Let m(o) = -19*o**2 - 12*o + 9. Let t(c) = j*p(c) + 7*m(c). Let d(k) = 9*k**2 - 4. Give 9*d(w) + 4*t(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + 706\/3. Let s be -136 - (15 - (3 - -11)). Let a = s + h. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28140*h**4 - 9*h**3*i + 12605*h*i + 3*h wrt h?\nAnswer: -337680*h**2 - 54*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**4 + l**3 - l. Let z(q) = 7*q**4 + 5*q**3 - 3*q. Let r(h) = 3*y(h) - z(h). Factor r(m).\nAnswer: -2*m**3*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067*n**2 - 2167*n**2 + 1080*n**2 - 5.\nAnswer: -20*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-7) - (-2)\/7. Let k be (-3)\/b*(-20)\/15. Let 0 - f**k - 3*f - 3 + 1 = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.15\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 36*w**2 + w + 6. Let u be z(3). Suppose -u = 6*l - 9*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -30\/493 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164655\/20762 + 3\/1483. Let v be (15643\/573)\/(40\/12). Let f = v - -21\/191. Find the common denominator of x and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/90*-3*18\/(-10). Solve 4*h - z = y*h, -2*z = 4*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28687120?\nAnswer: 2, 5, 7, 11, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -154*q - 7. Let k(c) = c**3 + 7*c**2 + 4*c - 15. Let z be k(-6). Let i be s(z). Calculate the highest common divisor of i and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -469712310 divided by -156570770\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 581 = 565 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61657424 + 61657424 + 5*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 1, 29, 3, -2, -1\/24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11565)\/(-514)*314\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -973, -1462, -1951, -2440, -2929?\nAnswer: -3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1635 and 654.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + n + 2. Determine b(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121015 + 5?\nAnswer: -121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 486*a**2 - 26244*a + 472392.\nAnswer: -3*(a - 54)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98147.57 and 0.67.\nAnswer: 65758.8719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*t. Suppose -2*q = -6*q + 16, -14 = 5*v - q. Let a = v - -2. Solve 4*p - 3 - t = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 421917*d**4 + 1 + d - 2*d + 2*d + 421916*d**4 - 225*d**3 in the form w*d**4 + x + r*d**3 + a*d + v*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 13. Let a be b(-3). Suppose 4*u + a = 3*r + r, -3 = 2*r + 3*u. Let p(q) = 11 + r*q**2 + 21 - 3 - 2*q**2. Let n(f) = 2*f. Determine n(p(g)).\nAnswer: -4*g**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 + n**2 + 82*n**2 - 609*n**2 + 215*n**2 + (n - 1 + 1)*(n + n + 0*n).\nAnswer: -309*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/14 + (-9)\/63. Calculate the common denominator of (x\/(-9))\/(76\/144) and -13\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*o**3 + 21*o - 21*o + (-2*o - o**2 + 2*o)*(-o - o + 4*o).\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(2*p - 6*p + 2*p) + 4*p - 4 + 4.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1241\/7 + 177. Which is the third smallest value? (a) -45 (b) g (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-817)\/(-133) + 1\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847211 greater than or equal to 847212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c + 1. Let h(t) = 9*t**2. Calculate h(i(p)).\nAnswer: 4356*p**2 - 396*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-77 + 82 - (11 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 225 = -8*r. Calculate the remainder when 485 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(2\/93)*n)\/n)\/(n*n\/((n**(-1\/16)*n)\/n)*n)*n**(-9\/7)*n**(-4\/15)*n)**24 assuming n is positive.\nAnswer: n**(-85223\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -4. Suppose -5*k = -2*k - p. Put -1, k, 3 in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.3036991 and -0.5.\nAnswer: -8.15184955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 539698897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-120)*(-4)\/(-15))\/(748\/660)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzznzjjxbzjb. Give prob of sequence nxnb.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 10*o**2 - 8*o - 15. Calculate v(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -472, -0.1, -0.04 in decreasing order.\nAnswer: 0.3, -0.04, -0.1, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9452 from -1260767.\nAnswer: -1270219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1112?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2 - 9*l**3 - 5*l**2 - 5 + 0*l**2. Let n = -3 + 8. Let k(o) = -13*o**3 - 7*o**2 - 10. Calculate n*k(z) - 7*v(z).\nAnswer: -2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -386862, -386828, -386780, -386712, -386618, -386492, -386328?\n\"Answer: c**3 + c**2 + 24*c - 386888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -2.03. Let k = -156.9 - -155. Let d = k - f. What is the second biggest value in 4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3280)*697*(-12)\/3?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621707 to the power of 1\/2, to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21864266063 + 0.96?\nAnswer: 21864266063.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 6}. Give prob of picking 4 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*k = 18, 4*p = -k + 1 + 9. Solve -19*w - 2 = -18*w - p*a, -9 = -4*w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 4271 = 471. Solve 0 = 28*m - k*m - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -599*w - 1388. Calculate the remainder when s(-7) is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208.5 - 197. Let q = -11.4662 + a. Round q to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1.1 (b) -3\/7 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 32. Suppose -2*v = 5*o - 4*o - 4459999, i*o = -v + 2229998. What is v rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)\/(d\/d**(5\/8)))**(-3\/4) assuming d is positive.\nAnswer: d**(87\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451653 (base 7) to base 8.\nAnswer: -234044","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/12 (b) 1 (c) 0.5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(13) - sqrt(26)\/sqrt(2)*-2)*2)**2.\nAnswer: 48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3295048.\nAnswer: 1\/3295048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/290 or -11?\nAnswer: -1\/290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/155 in 2, -2\/21, 4, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69.6791 + 70. Let x = 0.336 - f. Round x to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1645, 356, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 0, 2*p + 28 = j - 214. Sort -13, p, 2\/3, 0.3.\nAnswer: p, -13, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976949169?\nAnswer: 13, 29, 5243897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5\/(-10)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 - 1763616*a**3 + 5290884*a**2 + 15872608*a + 8818110 = 0.\nAnswer: -881811, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - ((5 - 4) + -2)) + 4 - (-167 - -184)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 + -260. Let z(w) = -w**3 + 2*w**2 + 7*w - 3. Let c be z(4). Let l be (c - -3)*2\/(-60). What is the third smallest value in 5, a, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**5 - 4*x**5 - 5*x**5 + (-3 + 3 + 1)*(-2*x**5 - 2*x**5 + 2*x**5).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + u + 22657 - 6090, 0 = 4*t + u - 13259. List the prime factors of t.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(17) + -4)**2.\nAnswer: -18*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1832 times -21.66\nAnswer: -39681.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4131175 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -13. Let s be (-7 - -3) + u\/2. Suppose 4*i + 100 = s*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201.1 + 287.4. Let j = -71 - 12. Let f = j + h. What is f rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - n - 12 + 3, -3 = -3*k + 3*n. Calculate the smallest common multiple of (28\/(-21))\/(k\/90) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 7*n + 1. Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22983*n**2 - 2*n*s**3 + 65*s**3 + 1068*s wrt n?\nAnswer: 45966*n - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9333567 is divided by 1478.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t + 5\/2*t**2 - 1\/3*t**3 - 1\/4*t**4 - 3. Let d be n(-3). Solve i + 4*g + 15 = 0, d*i - i + g = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 28*h**2 - 22*h - 8. What is the lowest common multiple of v(-14) and 250?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 2.8904336.\nAnswer: 0.173426016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 75803117 and -5?\nAnswer: 75803122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let z = -8 + 6. Calculate the common denominator of m\/(-9)*(3 + z) and -7\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0 + 1 + 4 - 3*p**3 to y*p + j + t*p**2 + k*p**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -94. Suppose 15 = k - p*r, -3*k + r = -0*k - 25. Suppose -25 = k*d - 46. Solve 0*x - 12 = d*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:50 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47553294?\nAnswer: 2, 3, 163, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 4*-1*1. Let i be (-10)\/(4\/(6*-6)). Suppose 4*p - i = p. Calculate the highest common factor of p and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4864.49 - -4887. Let r = -23.6 + w. Round r to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r = -139*r + 34*r + 340. Solve r*j + 6*j = 80 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {d: 1, f: 2, z: 1, p: 1, m: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47339366, -94678731, -142018096, -189357461, -236696826?\nAnswer: -284036191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x - 300. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 516\/1 + (141 - 140). Let u be -2 - (3 + -1*4). Let a = 46 - u. What is the greatest common divisor of m and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m**2 - 19*m + 12. Let w(o) = -38*o**2 + 56*o - 34. Give -17*b(y) - 6*w(y).\nAnswer: 24*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -7, 11 in decreasing order.\nAnswer: 11, 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u - 795. Let a(v) = -12*v - 443. Let p(o) = 7*a(o) - 4*b(o). Let g(m) = 2*m. Calculate g(p(t)).\nAnswer: 32*t + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -938.8824 + 939. What is v rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {n: 3, x: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*j + 4*r, -2*j + 4 - 3 = -5*r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -26 (b) 0.04 (c) -2\/9 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811964 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -2) + (-9 + 7 + 3 - 10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -5.100018. Round v to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 14 + 4\/(-2). Let t(u) = -2*u**2 + 1910*u + 11499. Let p be t(-6). Put -1, 2, q, p in increasing order.\nAnswer: p, -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 5. Let y be w(8). Suppose -2*z - 3*a = -10, 4*z + y = 9*z + 5*a. Calculate the remainder when 48 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 0 + -747 + 751\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -5, 0.16, -10, -2\/3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0*a**5 + 0*a**6 + 0*a**7 - 6*a + 0*a**3 + 3\/4*a**4 + 0 + 0*a**2 - 15\/56*a**8. What is the third derivative of i(r) wrt r?\nAnswer: -1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2076 and 1903.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 228 - 168. Is -2 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, -27, -1\/5, 2.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 (base 11) in base 8?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6*c = 50, 12419 - 12584 = 5*j + 5*c for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {h: 12, b: 3, g: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 + i**2 - 4*i + 1. What is m(-3)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706673.6336 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208)*-1 - sqrt(208)).\nAnswer: -8*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41293 and 6091?\nAnswer: 251515663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-128)*42\/539*(-2)\/3\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001176 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3 (c) 0.41 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1182 = -5405. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 3*r + 12. Suppose 3*i - 3 = 15. What is the units digit of c(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(68) - sqrt(68)*1)\/sqrt(4) + -5.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -3\/8, 3, -303, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {j: 4, s: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + j + 4, -2*y + j = 2*j - 8. Suppose -3*i - 2 = -q, -4*q = -2*i + y*i - 21. Which is smaller: -1\/5 or i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*f - 30*f - 1485. Calculate the remainder when 2480 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*a + 6 = 0, -2*a + 615 = n + 613 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154065539 to the power of 1\/2, to the nearest integer?\nAnswer: 12412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -45. What is the second smallest value in 3\/8, i, 1, 1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1686012 divided by -30\nAnswer: 281002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0*g**3 + 1\/12*g**4 - 5\/2*g**2 + 0 + 49*g. Calculate u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.64+22.075303817\nAnswer: 22.715303817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 327, 788, 1519, 2658, 4343, 6712, 9903, 14054?\n\"Answer: 23*p**3 - 3*p**2 + 309*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(-1209))\/((-72)\/(-108))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f**3 - f + 2*f**3)*((-6*f + 4*f + f)*(1 - 2 - 1) + 0*f - 2*f + f).\nAnswer: -2*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*m + 11. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - t - 18, -8*t - 18 = -3*h - 3*t. Suppose h*n - 169 = -7*n. Calculate the highest common divisor of 325 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l - 1\/3*l**3 - 1\/30*l**5 + 0 + 1\/12*l**4 + 47*l**2. Let t = -2 - -4. Calculate j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28052057*o**2 - 25926*o - 2 wrt o?\nAnswer: 56104114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.542, -0.09, 2, -2\/1865 in descending order.\nAnswer: 2, -2\/1865, -0.09, -0.542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -m + 5*k, k + 392 = -4*m + 4. Let j = -98 - m. Let n be (-2)\/(-8 - -4 - j). Solve 2*y - y = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*z - 56 = -378*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444 (base 7) in base 11?\nAnswer: -47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -57 - (-33 + 69)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -157 - 131. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000580626501 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148516?\nAnswer: 2, 107, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 132 = 12*j, 232*j - 4*g - 4 = 230*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 79*m + 86. Let i be v(-9). Solve -i*u + 2 = -102*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 964b (base 13) to base 9\nAnswer: 31536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -3. Let z(l) = l**3 + 5*l**2 - l - 3. Let w(h) = -2*h**3 + h**2 - 2*h - 5. What is the remainder when w(-3) is divided by z(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413 (base 6) to base 9\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 450.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-20)*(-6 + 3 - 297). Suppose -135 = 5*k - j. Put k, 0, -5, -23 in increasing order.\nAnswer: -23, -5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:20 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + v - 72 = 0, -32 = 2*x + x + 5*v. Let u = 18 + -14. Let c be 1252\/28 - u\/x. Calculate the highest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12336 - 5571. Let x = -6804.91 + k. Let h = 37.4 + x. What is h rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*y + 14, 0 = m + y + 19 - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 224 - 104 = 0. What is the nearest to 2\/3 in -69, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2. Let w(d) = d**2 + 3*d + 3. Let z(h) = h + 1. Let o = 38 - 41. Let i(t) = o*z(t) + w(t). Determine i(l(b)).\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, p: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 23*r - 68. What is the remainder when r is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:42 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x. Suppose 2*j + u - 3*u - 42 = x, -2*j - 4*u + 48 = 0. Calculate the smallest common multiple of j and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 479 - 477. Let v = 1.9 + -2. Let i = 0.3 + 0.7. Which is the third smallest value? (a) i (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3966578105.\nAnswer: 5, 7, 163, 695281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 34. Suppose 0 = -28*n + s*n - 6. Suppose 0 = n*a + 5 - 2. What is the second smallest value in a, -2\/3, -2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 10*f**2 - 2833*f + 27336. What is n(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*93*(1 + 0). Suppose 5*t + 347 = 4*u, -6*u + 3*u - t = -265. Let r = q + u. Let y(z) = -z**3 - 5*z**2 + 1. What is y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*v + 26, 5*v - 5 = 3*b + 8. What is the second derivative of 23*f - 45*f - b*f**4 + 17*f wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16094 = -r + 14*r. Let z = 1907 - r. Is 55 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0401 - -0.7\nAnswer: 0.7401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.8 and 55489.\nAnswer: -654770.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 499952\/285 + -5260\/3. Let w = x + -13\/19. Factor w*j**3 + 4\/5*j**2 + j + 2\/5.\nAnswer: (j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.14 - 3. Let d = 0.14 - x. Are d and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286812 and 744.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*t + 0*t + 4 = 0, -2 = -4*c - 3*t. Find the second derivative of 8*m**2 - 2*m + c*m**2 - 7*m wrt m.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12\/793819 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21481 divided by -2\nAnswer: -21481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = -q - 1, -w = -2*q - 2. Let l be ((-56)\/(-26) - q) + -3. Which is the smallest value? (a) l (b) 1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289737 is divided by 342.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15314727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*v + 252*v = 50. Solve -p + 6 = 3*k + 10, -v*k - 1 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -148, -251, -436, -727, -1148, -1723, -2476?\nAnswer: -3431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2264344484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/(-6)*234\/(-15). Suppose -v = -4*p - s + 6*s, -4*p = -s - 208. Suppose -a + p = a. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.04, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 4. Let g(h) = -27 - h + 10*h + 0*h + 10 + h**2. What is -2*g(p) + 9*l(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.158 - 0.008. What is the third biggest value in -0.09, x, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - 6*sqrt(156)*-4) + sqrt(156))\/sqrt(12) + sqrt(26)\/(sqrt(2) + sqrt(16)\/sqrt(2)).\nAnswer: 82*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/30*220\/66 + (-4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**4 + 6*d + 26*d**3 + 5*d - 26*d**3 wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2689*r**3 + 1337*r**3 + 1333*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 49428867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1403332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - sqrt(75)*-4) - (sqrt(6)\/(sqrt(2) + sqrt(2)*-2) - sqrt(3)))**2 - (2*sqrt(3600))\/(sqrt(12) + (sqrt(1728)*-2 - sqrt(1728))).\nAnswer: 4*sqrt(3)\/7 + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 4)\/5 - -4. Solve -g = 3*i + 5*p + 2, 0 = -4*i - 5*p - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 18*x**2 + 1070*x + 532. What is w(-43)?\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143 - -141. Let p = -256 - -256. Suppose -4*n = 17 + 3. Sort h, p, n in decreasing order.\nAnswer: p, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639618 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*r + 8. Let a be r*(1\/5 - 0). Sort a, -3, 4\/3 in increasing order.\nAnswer: -3, a, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 - 2*n + 5. Let h(r) = 7*r**3 - 6*r**2 + 9*r - 27. Let f(d) = -11*b(d) - 2*h(d). Let a = -408 + 410. Determine f(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 16, x: 2}. What is prob of picking 3 p and 1 x?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118498 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 62827?\nAnswer: -188481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7175019 divided by -10007.\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0786 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 + 4*j - 5. Let u = 621 + -616. Suppose -12*d = -u*d - 224. What is the remainder when t(-6) is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39a25 (base 11) to base 8.\nAnswer: 157463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 10 = 16. What is the least common multiple of (2240\/(-12))\/w + (-6)\/(-9) and 3?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1924*w + 0*w**2 - 2466*w - 2*w**2 to the form k + o*w**2 + y*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/25)\/(1\/5). Let y be k\/(-2)*(-32)\/(-16). Solve 6 = -3*q - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518937255553 - -0.05.\nAnswer: -518937255552.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.04 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -4.9437.\nAnswer: -11.9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13029 is divided by 466?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/3 - 3)\/((-2)\/(-3)). Let z = -1.7 - -1.34. Let o = z - -0.06. Is g > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750424 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 7*i**4\/5 - 397*i**3\/5 + 5276*i**2\/5 - 11228*i\/5 - 3648\/5 = 0?\nAnswer: -2\/7, 3, 16, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90576981 to the nearest integer?\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*q = -9, -45 + 33 = 3*s + 4*q. Let v = -9.3 + 9. Which is the closest to -1? (a) s (b) 1\/6 (c) -4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37552 - 337966\/9. What is the nearest to 0.05 in -6\/23, 1, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7951 divided by 5?\nAnswer: 7951\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4817580 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 43*w - 47. Give l(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-3510)*-2)\/1.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.7. Let q(j) = 6*j + 196. Let b be q(-32). What is the nearest to 0.1 in -6\/11, g, b?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 a factor of 706804789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-11 - (-8 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6*o + 1)*(-16 - 39 - 5 - 20 - 3) to d*o + v and give d.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -61839315?\nAnswer: -61839324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (808*a + 4763*a**2 - 164*a - 4762*a**2)*(0*a - 2*a + 4*a) to x*a**3 + h*a**2 + s + t*a and give h.\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 1. Let o be l(1). Let w be o\/6 - (-1)\/2. Suppose 0 = -p + 3 - w. Solve q + 4 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5302 + 0.0302. Let r = -0.1 - -0.3. Let y = -1\/20 - -3\/10. What is the third smallest value in a, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**8)**(37\/2)\/(w**(19\/3)*w**36))**44 assuming w is positive.\nAnswer: w**(-22682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*c + 5, 559*c + 7 = 561*c - 5*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/12 + b**3\/2 - 3*b**2 - 209. Let i(g) be the second derivative of -g**3\/6 - g**2\/2 - 4*g. What is -2*c(x) - 5*i(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 1. Does 3 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 49. What is the second biggest value in 3, p, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 - -156. Suppose 0 = -3*y - g - i, -10 = y - 9*g + 11*g. Solve -3*j = -3*w - 24, -5*w - 20 + y = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0*s + 2*s + 12*s - 17*s + 2*s. Let b(y) = 4*y + 1. Give b(m(u)).\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29238 + 29242. Let a(k) be the second derivative of 0 + 0*k**3 + 0*k**x + 3*k**2 + 1\/20*k**5 + 28*k. Find the first derivative of a(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*c*p**3 - 66*c*w**3 - 704*p**3*w**3 + 6*p**2*w**3 - p**2 + 25*p*w wrt p?\nAnswer: 228*c - 4224*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (369\/(-164))\/((-29)\/(464\/456)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 1282.2, -0.4, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 + 6. Let m be 78\/(-48) - (2 - (5 - (0 - -1))). What is the second smallest value in 35, -0.2, m, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8871 or 8863?\nAnswer: 8871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2907)\/6)\/(-17))\/(2\/(-14)*140\/(-40))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let c be b(9). Suppose -3*v - 5*j = -v - 16, v = -4*j + c. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420465 (base 7) to base 11.\nAnswer: -11a767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185489 by 14.\nAnswer: -185489\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/41)*r*r**0\/r)**(10\/7) assuming r is positive.\nAnswer: r**(-20\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 58. Let h = -26 + 53. Calculate the greatest common divisor of h and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264374349?\nAnswer: 3, 211, 241, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 23*h - 37. What is f(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 + 0*x**2 + 154*x**5 + 0*x**4 + 61*x**2 - 28*x**5 wrt x?\nAnswer: 7560*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4835 + 20.5\nAnswer: -4814.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105504 from -0.0945.\nAnswer: 105503.9055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -13*x**4\/12 - 36*x. Let b(u) = -u**2. Determine p(b(f)).\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 1}. What is prob of sequence bpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37190 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*b**3 - 5*b**2 + 11356 with respect to b.\nAnswer: 375*b**2 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19568 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*x + 455*x + 2*x**2 + 2*x**2 - 458*x.\nAnswer: 4*x**2 + 1122*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 3\/2, -2\/5, 5, 0.1, -1\/2.\nAnswer: -68, -1\/2, -2\/5, 0.1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(425)*2 + sqrt(425) + -2 + 3 + -1)**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Let j(h) = 1. Let c(o) = a(o) + j(o). Suppose 3*r - 3*b + 6 = -0*b, -18 = -5*r - 2*b. Let p(g) = 2*g - r*g - 2*g. What is c(p(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/(12\/64). Suppose -14 - 118 = -a*k. Let g = k - 44. What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*i + 12*i**2 - 2*i + 2*i wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849637*r + 2849635*r - 5699274*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:08 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 17}. What is prob of picking 2 h?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6230 and 0.05.\nAnswer: -311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*c + c + 54 = 0, -145*c = -13*c + 1321 + 263 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1638711 * 0.1\nAnswer: 163871.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -2 + -3 + 9 + -10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -722, -1072, -1422?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*r**3 + 75*r**3 + 36*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42*(-3)\/(-231) + 10\/22. Which is the closest to 0.1? (a) 4\/7 (b) -2\/3 (c) 2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(700) + -1)*-4 - (-4 + (-6*-4*(-1 + sqrt(7)))**2).\nAnswer: -4608 + 1112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 4, -2\/145 in increasing order.\nAnswer: -0.08, -2\/145, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/71)\/(5\/(10\/(-480)*4*-20))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h = -2*t + 12, 0 = 5*h - 2*t - 23. Suppose q - 5*q = -3*p - 157, -h*p + 5 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + (-4)\/(-2))*(-171)\/15. Let p be 10336\/h - (4\/(-3))\/2. Suppose x + 71 = p. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.4 (b) -1\/1863 (c) 5 (d) -2\/23 (e) 1\/2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180) + 1 + sqrt(180) + 3)**2 + (-1 + sqrt(180) + 0 - sqrt(180))).\nAnswer: -2205 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 27*t - 79. Let p be k(-28). Is -0.1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 54 = 12. Let w be 6\/p - (-123)\/(-63). Sort w, -0.1, -15 in descending order.\nAnswer: -0.1, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284\/27 + -1109\/108. Which is smaller: 5\/2521 or q?\nAnswer: 5\/2521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/430 + 45221535\/(-4107575)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 + 0*r**2)*(48*r - 14*r - 12*r) + 5*r - 14*r**2 + 2*r**3 + 14*r**2.\nAnswer: 24*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**6\/720 + b**5\/30 - b**4\/12 - 2*b. Let t(s) be the third derivative of g(s). Suppose -109*w = -68*w. Determine t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 535877 or 535876?\nAnswer: 535876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**(7\/2))\/c**(-9))\/(c**(-26\/5)\/(c*c\/c**(-3\/5))) assuming c is positive.\nAnswer: c**(163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/132 and -65\/28.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022122000022220211 - 1?\nAnswer: 11022122000022220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2820 - 2821. Let r = -269\/481 + 15\/37. What is the nearest to h in -2\/3, 1\/12, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/40*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -25*n**3 - 245*n**2 + 355*n + 3018. Give h(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 9. Let r = -4 - h. Let q = 13 - r. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -47, -3 in decreasing order.\nAnswer: -1, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116883 + 22410 = -3749*g - 280595 for g.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -568. Let d = -287 + b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -5*a - 55, f - 442 = -5*a - 417 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1016 - -616. Let k = -398 - p. Solve -10 = k*w - 0*w - 2*j, 2*w + 25 = 5*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + -11. Let f = -103 - x. Which is the closest to -0.2? (a) f (b) -2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -1.445. Let m = -21.945 - u. Let c = m - -21.6. What is the second biggest value in 1, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 12) to base 7.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 8 - (-14 + 27 + (-12 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2494?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10113 (base 5) in base 15?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/(-25) + 2)\/(5\/25). Solve p*x = -7 + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/((-2)\/(-5)). Let i = 31 + -31. Which is the nearest to i? (a) 4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -17*c**5\/30 + 29*c**4\/24 - 587*c**3\/2 - 2*c**2 - 70. Differentiate l(i) wrt i.\nAnswer: -68*i + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12600118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35094 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/16 - 1\/16. Let y = 36 + -32. Let h be (-8)\/20 - -1 - 1. What is the closest to i in h, y, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -2*o. Let q(x) = -2*x**3 + x + 1. Let j be q(-1). Suppose -4*b + 10 = -3*w, 0*b - 16 = -j*w - 3*b. Solve -m + w + o = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12*i - 23*i - i**3 - 396*i.\nAnswer: -i**3 - 431*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(143*r + 26 - 73*r - 71*r).\nAnswer: 2*r - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12700 (base 12) to base 11.\nAnswer: 17a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337347 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 3, w: 5}. What is prob of picking 2 w, 1 x, and 1 r?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j - 24*j + j**4 - 4*j**2 + 4 + 2*j**2 in the form q + g*j**4 + x*j**2 + t*j + l*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -228*(-17)\/((-5202)\/51)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -25554646.09.\nAnswer: -25554641.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let m = x - 5. Let s = -0.55174 + 0.05174. Put 0.1, s, m in ascending order.\nAnswer: m, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:00 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/3211 + 3201\/16055. Sort 373, 4, -0.1, u in ascending order.\nAnswer: -0.1, u, 4, 373","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 1432 + 5048 = 44*f. Solve -79 + f = 11*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31399 is divided by 6277?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**4 - 4*a**3 + 6*a**2 - 10*a + 4. Let u(z) be the third derivative of z**6\/120 + 15*z**2. Let x(k) = -6*u(k) - y(k). Solve x(j) = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let l(k) = -6*k + 30. Let u(b) = -l(b) + 3*n(b). Let h(f) = -f. Let p(w) = 6*h(w) + u(w). What are the prime factors of p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)\/a**(-1\/6)*a**(-6)\/a**(-1\/4))\/((a\/(a**(-1)\/a))**(-4\/17)\/(a*(a\/((a*a\/a**(2\/3)*a)\/a))\/a*a)**(-45)) assuming a is positive.\nAnswer: a**(-7115\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 + p**3 + (3 - 3 - p)*(49*p - 30*p + 264*p)*(p - 4*p + p).\nAnswer: 567*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-2025.6\nAnswer: -324.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/7)\/((-140)\/(-245)). Sort -0.2, 8, p, -2 in decreasing order.\nAnswer: 8, -0.2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 14.\nAnswer: -125\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10161499 by 4.\nAnswer: 10161499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*u + 35. Suppose -15 = -5*a + 5*c, 0*c - 4*c = u*a - 2. Let p be (-2)\/3 + 4\/6. Solve p*w + 6 = 2*w - d, a = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 12:06 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 20*m**3 + 3*m**2 - 3. Let q(y) = 799*y**3 + 119*y**2 - 119. Determine 3*q(a) - 119*u(a).\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/17 (b) -5 (c) 99 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*m + 244*m = 261 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 9 - 3 - (-3 + -2 + 7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -t + 2*p + 4, 4*t - p + 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4425, -8850, -13273, -17694, -22113, -26530, -30945?\n\"Answer: p**2 - 4428*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74068.\nAnswer: 2, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 2 - 3191*m + 3192*m - 1332*m**2.\nAnswer: -1332*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 18*k + 25. Let u be m(-17). Suppose -u*y = -5*y - 6. Solve 0 = y*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (sqrt(396) - (sqrt(396) - sqrt(396)*1 - sqrt(396))*-2) + sqrt(396) + -4 + 3)**2 + 2.\nAnswer: -12*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -47*b + 62*b. Let q be b - (2\/2)\/((-8)\/88). What is the greatest common divisor of q and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**2\/2 - 9. Let c(i) = -3*i. What is o(c(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 37*y. Let p(d) = -18*d. Give 4*o(i) + 9*p(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 7, l: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*l = -38, -5*r + 2*l - 23 = -103. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -48*u**2 + 75*u - 222. Give h(3).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus -6659?\nAnswer: 6610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**4\/4 - w + 4. What is the first derivative of s(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j + 2*j + 9*j. Let r(t) = -2*t + 222. Let s(b) = -2*b + 185. Let l(u) = 5*r(u) - 6*s(u). Give w(l(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3160\/175 + 70\/(-1225). Let q(g) = -402*g**3 + 18*g**2 + 18*g - 18. Let v(r) = -115*r**3 + 5*r**2 + 5*r - 5. Determine j*v(w) - 5*q(w).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdfhuuxuxhfudl. What is prob of picking 1 h and 1 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (14 - (21 - 10)) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3274 + -2215. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -352 - -1061\/3. Which is the third biggest value? (a) -0.5 (b) q (c) -21 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, -414, -1, 2.\nAnswer: -414, -4, -1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -198? (a) -0.3 (b) -0.4 (c) -3 (d) -6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3 + g + 6*g**2 + 4 - 3*g**2. Let t be r(-1). Does 23 divide ((-2)\/t)\/((-14)\/483)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -63*r + 3. Let g be b(-1). Let c(k) = -k**2 - k + 5. Let d be c(0). Let n = d - -1. Calculate the highest common factor of g and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (2 - (8 - 4)) - 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 409\/11. Let y = -0.79 + 1.79. Which is the second smallest value? (a) m (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(-2\/35))**(-24)*(a*a**(-7)*a**(2\/5))\/(a*a**(-4)*a*a\/(a*a**(-3\/8)\/a)) assuming a is positive.\nAnswer: a**(-8983\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11040\nAnswer: -11040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248920, -249444, -249980, -250534, -251112, -251720, -252364?\nAnswer: -253050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*p + 113 + 165 + 142 + 62 - 834 to o + m*p and give o.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 188303 * 0.3\nAnswer: 56490.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8283785 greater than or equal to -8283786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*m + z, -2*m - 170*z - 182 = m - 173*z - 209 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.43 - -0.73. Which is the second biggest value? (a) l (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 5*h**2 - 4*h + 28. Is c(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11107659, 11107662, 11107665, 11107668?\n\"Answer: 3*n + 11107656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 2. Let h(s) = 6*s + 3. Let n(r) = 3*h(r) - 4*y(r). Let b(m) = -7*m + 2. Give 4*b(a) - 5*n(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:23 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/747366 and 127\/192.\nAnswer: 23915712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 - j**3 + j**3 + (-16 - 40 + 17)*(-5*j**3 + 2*j**3 + 0*j**3))*(-69 + 69 - 7*j) to the form l + q*j**2 + b*j**3 + w*j**4 + g*j and give w.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*l = -112, 2*o - 54 - 1 = -5*l. What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6685 divided by -5\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3621 divided by 17.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26455?\nAnswer: 5, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2138 + 2153 + (0 - 47) + 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2722\/4)\/(-5 - (-44)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 48 - 12*m + 2*m**2 - 3*m + 19*m = 0 for m.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 5547?\nAnswer: 5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 - 23076*b**2 - 44352063*b + 88796454 = 0.\nAnswer: -3847, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80430, -80410, -80392, -80376, -80362?\nAnswer: -80350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 26, 21, 18?\n\"Answer: j**2 - 10*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in -2\/9, -7, 4.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 603 - 848. Let r = d - -249. Factor 12*o**3 - r*o**4 + 0*o**2 + 0*o + 0 + 1\/3*o**5.\nAnswer: o**3*(o - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - 2*g**4 + 2*g**4)*(4 - 2 + 1) + (2*g**4 + g**4 - 4*g**4)*(-1 + 0 + 0) + (57*g + 13*g**3 - 57*g)*(2 - g - 2).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117365.87091 - -117360. Let f = -5.86 - n. Round f to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88774 and -184.\nAnswer: -88958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1132751 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 4}. What is prob of picking 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:32 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d - 59*d**2 + 95*d.\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2678883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4 + 1248*a**3 - 12*a**2 - 4992*a = 0.\nAnswer: -416, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/44 - (-6)\/(-33). Suppose p*r + 2*b - 6 = -b, 0 = -3*r - b + 2. Suppose r = 5*x - 194 + 14. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465547984 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/65 or -8?\nAnswer: 22\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132 (base 6) to base 5.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (52 + 13 + -53)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 + 2*c**2 + 4*c + 10. Calculate m(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 - p**4\/3 - p**3 + p**2 + 115*p + 4. Give y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45400 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*i - 443*i - 2805 = -1743*i - 46019 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-3) - (-10)\/(-15) - 3. Which is bigger: -2\/111 or x?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q + q)*(134 - 2*q + 103 - 51).\nAnswer: -4*q**2 + 372*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/748*-11*(3 - 5)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-27)\/(-12)*1854\/(-81))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12*l*l*l**(-5\/4)*(l\/(l\/(l\/l**4)*l)*l)**9 assuming l is positive.\nAnswer: l**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.032? (a) 4 (b) 1 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**5 - 7*i**4 + 120*i**2 wrt i.\nAnswer: -240*i**2 - 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let b be ((-15)\/2)\/(4\/8). Let i be 5\/b - 32\/3. Let g(r) = -3*r + 3. What is i*a(z) + 4*g(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 + 80 = -5*j + 5*l, 182 = 2*j - 3*l. Is j a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77548719 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((1 - 61\/(-4)) + (-1053)\/468)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3 and -19\/76037.\nAnswer: 228111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351 (base 9) in base 11?\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 34*a + 179. Calculate i(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3584.2624 + -3582. What is b rounded to two dps?\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 137.81?\nAnswer: -137.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:46 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g**2 - 4 + 3*g - 2*g)*(-g - 2 + 2).\nAnswer: 3*g**3 + g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzz when three letters picked without replacement from {z: 8, w: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 123742*k\/5 - 123741\/5.\nAnswer: -(k + 1)*(k + 123741)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from pppppppppppcyopeppc.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511388281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3313 is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1434\/(-126) + 12 - 2\/6)*70. What is the greatest common divisor of b and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpejeejjjepeepjbn. What is prob of sequence jj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -959 - -1480. Let v = w + -2181\/4. Let k = -638 + 5123\/8. Calculate the common denominator of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -9. Suppose -3*d + o = -66, 0 = 3*o - 0*o - 9. Suppose -4*k = d - 55. What is the remainder when h is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -790 + 699.914. Let r = -90 - o. Let b = 7.286 - r. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2 + 2)*((-3*y - 2*y + 4*y)*(0 - 3 + 2) + (-3 + 1 + 1)*(y + y - 4*y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.1. Let r = -0.048 + 1.048. Let s = 5 - 0. What is the closest to 0 in r, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 17199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 390*i + 193. Let r be d(97). Put -2, r, 5783 in decreasing order.\nAnswer: 5783, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 758 + 442. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - a + 31. Let u be r(0). Let z = u - 22. Suppose 6*m - z*m = -48. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(-2 + 1 + 0)*(16*p**3 - 10*p**3 + 13*p**3) in the form d*p + i*p**3 + m*p**2 + k and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46*0.752\nAnswer: -34.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) -1\/3 (c) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243435233 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (19 + (1 - 13)). Let n(k) = k**2 + k. Let j be n(-2). Solve 0 = -5*i + 5*g + 15, m*g = -j*i + i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - 2*(sqrt(8) + 1))**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 167*a**4 - 502*a**4 + 168*a**4 - 91*a + 4*a**2 + 169*a**4 to the form m + s*a**2 + i*a + n*a**4 + t*a**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + 19. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28226 and 25660?\nAnswer: 282260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**(24\/5)*(((y*(y\/y**(-1\/4))\/y*y)\/y*y)\/y)**(1\/7))**(-23) assuming y is positive.\nAnswer: y**(-16031\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5346833 is divided by 1782274.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 14 + 1 + 6)*(-3*v**4 + v**4 + 4*v**4).\nAnswer: -80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**5\/5 + 5*f - 9. What is the first derivative of t(y) wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239477 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 15 - 18 = 8*j + 5*j + r, 2*j + 11*r + 3 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580546 = 290*z - 13571703 - 511231. Is z a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9019 - 8613. Calculate the highest common divisor of 1450 and q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 261, 1, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 2*u**2 - 1. Let x be v(1). Let h be (x - 0) + 3*-2. Let f = h + 2. Are f and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -100677, -100674, -100671, -100668, -100665, -100662?\n\"Answer: 3*o - 100680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -5, 18\/11, -2, -11 in increasing order.\nAnswer: -11, -5, -2, 4\/11, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 4*d + 3*d)*(-5*d**2 + 4*d**2 + 2*d**2) - 18*d**3 - 4*d**3 - d**3 to the form w*d**3 + o*d**2 + f + v*d and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176093083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 18*s - 17*s = 0, b - 3*s + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1157108 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**8\/560 + i**6\/360 + i**3\/2 + i**2. Let y(d) be the first derivative of x(d). What is the third derivative of y(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -44. Suppose 4*l = -w*o + 86, l + 2*l - 57 = -3*o. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262331803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555624931.\nAnswer: 181, 1129, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let n(r) = 2*r**2 - r - 1 - 5*r**2 - 2*r**2 + 4*r**2. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23 - 1 - (31 + -35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178993 and 23953.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 73*o**2 + 3*o - 9. Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 - ((-39445)\/2)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 121, 6, -36 in decreasing order.\nAnswer: 121, 6, 5, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 2*n - 14, -14*n + 13*n = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -729bb5 + -a?\nAnswer: -729bbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 11:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 55 - (2763 + -2719).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*q + 7, 0*c - 2*c - 5*q = 11. Find the third derivative of 26*f**c - 25*f**3 + f**2 + 11*f**3 + 9*f**3 wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1113?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 20*z - 17 in the form s + g*z and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 568475591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/13)\/n*n**(1\/33) assuming n is positive.\nAnswer: n**(-350\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 365190 to the nearest 1000.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -35.49345, 0.5 in increasing order.\nAnswer: -35.49345, -10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3513635\nAnswer: -7027270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1076292\/24*(-2)\/(-1776). Let s = f + -1\/592. Calculate the common denominator of 33 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2178*s**3 + 2*s**2 + 487. Let v(h) = -2181*h**3 + 2*h**2 + 486. Let n(t) = 6*l(t) - 5*v(t). Find the third derivative of n(g) wrt g.\nAnswer: -12978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5) + (-86)\/(-10). Let z(t) = 17*t**3 - t**2 + t - 1. Let c be z(1). What is the highest common divisor of d and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 240\/280*(-2 + -25 + -1). Put r, 0, 5, 7 in increasing order.\nAnswer: r, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = 0, 2*r = w - 16. Suppose u = -3*a - 4*u + 28, 3*a + 2*u = 40. What is the highest common factor of w and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 + 4*r**2 - r**2 - 2*r**3 - r**3 + 4*r + 2*r**3 to l*r + n + c*r**3 + p*r**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 23, -13.9, 1\/7, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 2*i - 9. Let n be a(-6). Suppose -n*c = -0*c. Let d be (-3)\/(-2 - 2\/(-4)). Solve c = -d*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**3 + 5*g - 5. Let l(s) be the third derivative of -11*s**6\/120 - s**4\/3 + 4*s**3\/3 - 7*s**2. What is 5*l(q) + 8*t(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 28. Let g be v + 15\/5 + 1. Suppose 2*q - 23 = -7. Let x(f) = f**2 + 2*f + 4. Let r(b) = 2*b**2 + 5*b + 11. Calculate g*r(h) + q*x(h).\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(1\/6)*h**20*(h**(1\/46)\/h)\/(h\/h**(-11)) assuming h is positive.\nAnswer: h**(703\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 3*d - 5. Calculate t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f. Let b be y(-1). Which is smaller: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 542556*s + 2170288 = 0. Calculate s.\nAnswer: -135643, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 30*y + 77 as l + f*y and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-12 - 0)) + 2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.93 - 1.03. Let c = -0.4 + 0.42. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8*x - 74 = 0, -21*v - 76 - 32 = -17*v + 16*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let i(n) = -n**2 - 2*n + 1. Let v(h) = -92*h**2 + 8*h - 4. Let m(o) = 4*i(o) + v(o). Calculate l(m(y)).\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42590*s + 31982 - 31982.\nAnswer: -42590*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.1954 to zero decimal places.\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 10926504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/32029283 and -52\/209422235?\nAnswer: 2722489055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 - 5*q**4\/12 + q**3\/2 + 280*q**2. Suppose a - 3 - 6 = 0. What is i(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69129, -140758, -212457, -284262, -356209?\nAnswer: -428334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*s*(s\/(s**(1\/11)\/s))\/s*s*(s*(s*s\/(s\/(s\/(s*(s*s**(-2))\/s)))*s)\/s*s)\/s**(-5))**(-25) assuming s is positive.\nAnswer: s**(-64475\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:29 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-2))\/(280\/30 - 9). Let 1300*j - 20*j**3 - 389*j**4 + 4*j**5 + 141*j**3 - 1160*j**2 - 807 + 321*j**4 + 307 + 303*j**h = 0. What is j?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4358 is divided by 243.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -379*g**4\/24 - 4*g**3\/3 + g**2. Suppose 3*n = -2*m + 16, -2*n - 25 = -3*m - 40. Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 13. Suppose 12*f + 40 = 8*f. Let h be a(f). Solve -h*g + 2 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-34)*i*i)\/i**5)\/(i\/i**(-25)*i**(-9\/5)) assuming i is positive.\nAnswer: i**(-301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1331) - (sqrt(1331) + -3)*-6) + sqrt(1331) + -3 + -3).\nAnswer: -440*sqrt(11) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 478*j - 3993. Let d be l(33). Calculate the greatest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58540)\/(-491736))\/(10\/(-36)*8\/(-2))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77600366 + -313594.\nAnswer: 77286772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 - 0.9. Let v = 21\/4 - 11\/2. Put v, -2\/9, k in descending order.\nAnswer: -2\/9, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682701.9 centuries to years.\nAnswer: 68270190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -24*w**2 - 16*w + 18. Let u be t(12). Round u to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 4520 + 1040)*(0*z**2 + 4*z**2 - 6*z**2).\nAnswer: -11398*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + 130. Let d(f) = f - 9. Let u be d(6). Which is the third biggest value? (a) u (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p**2 + 6*p**3 - 65*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 58*g as a + w*g and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + j + 9, -2*j + 6 = 0. Suppose -540 = -5*m + 3*d, 3*m + 2*m + 3*d = 540. Calculate the highest common factor of k and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 134 = -0*r + 4*r, -4*r + 100 = -4*d. Let u = 55 + d. Solve 4*y - 9 = -u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 44. Put 1, 3, -1, f in increasing order.\nAnswer: f, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3. Let k(p) be the third derivative of p**6\/15 + p**3\/6 - 2*p**2 + 19*p. Calculate -5*f(w) - k(w).\nAnswer: -3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57533, 115068, 172603, 230138, 287673?\n\"Answer: 57535*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(34)\/(4*sqrt(2)))*-3.\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -94 - (-4814 + 4836).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 812 = 2*p. Let n = 76 - p. What is n rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145896 minus 6?\nAnswer: -145902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) 0.04817 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/17612 and -137\/88060.\nAnswer: 88060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 210*x**2. Let t(p) = -17*p - 1. Give t(v(a)).\nAnswer: -3570*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 308, 721, 1310, 2081, 3040, 4193, 5546?\n\"Answer: l**3 + 79*l**2 - l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h - 92*h - 13*h in the form k*h + j and give k.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0. Let v = -33 - -38. Which is the nearest to d? (a) v (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -441540, 0, 11\/2 in increasing order.\nAnswer: -441540, 0, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - 7. Let h be i(-3). What is the highest common divisor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 91*q + 1. Give o(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let a(g) = -8*g - 47103. Give w(a(x)).\nAnswer: -8*x - 47103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*d**2 - 70*d wrt d?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - 8*p + 70 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -56, 0, 3 in descending order.\nAnswer: 15, 3, 1, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/30)\/(-1) + 27\/(-45).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3265 (b) 5 (c) -1\/3 (d) -4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23506540 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - m**4 + 5*m**4 + 994*m**4 + 158*m**4 + 375*m**4 + (-3*m**3 + 3*m**3 + m**3)*(-1 + 1 + 4*m).\nAnswer: 1533*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**3 + 9*h**2 - 2*h - 2. Let g(t) = 5*t**3 + 5*t**2 - t - 1. Let l(v) = 7*g(v) - 4*p(v). Determine l(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956777557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) -1 (d) -2272 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 40 - 77 = j, 0 = 2*j + 4*f + 48. Determine k so that 5\/2 + j*k - 1\/2*k**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.58 and -1228579.2.\nAnswer: -1228579.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 114*a - 2130. Suppose -u - 3*j + 13 = -10, -2*j - 78 = -4*u. What is the remainder when y(17) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 37. Let b be y(-36). Suppose 0*d = 3*d. Suppose d = w - b + 10. Is w bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*b + 7. Suppose i + b + 2 = -2*y, 2*i = y + 7. Solve i*v - 10 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 1057, 3636, 8791, 17428, 30453?\nAnswer: 48772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)\/(sqrt(63)\/sqrt(9)))\/sqrt(5) + (-3*sqrt(84)*3)\/sqrt(12) + -3)**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1540356 + 1540372.55749. Let z = -16.55 + w. What is z rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 8. Suppose 0*q + 3*q - 18 = 0. What is the remainder when 4 - (0\/(-1) + -2) is divided by g(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - f**3 + (0*f + 0*f - 3*f)*(15*f**2 + 10 - 10).\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + p**2 - 126 + 78.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2 - 4*b + 1. What is the remainder when 15 is divided by k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103400 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*j + 19, -2*b - 2*b - j = -7. Find the third derivative of -14*s + 2*s**2 + 4*s**2 - 5*s**2 + 5497*s**3 - 5371*s**b wrt s.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32435 and 640575.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25686899 and 40.\nAnswer: -10.2747596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43715 and -0.5?\nAnswer: 21857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*a + 18, 2*s - 6 = -s + 2*a. What is the nearest to 0 in -1\/4, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*r - 9640, -13*r + 4798 = 2*k - 17*r. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g. Let j(i) be the second derivative of -5*i**4\/6 + 7*i**3\/6 - 67*i + 2. Determine 24*d(u) - 3*j(u).\nAnswer: 6*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkvkkkkkkkkkkkkkkk. Give prob of picking 2 k.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14458 and -0.017?\nAnswer: -245.786","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 33*t**2 - 652*t - 11658. What is z(-17)?\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*r**2 + 0*r**3 + 5*r**3 - 151*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2815*p - 456045 - 93065 = 3570*p for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 3*k. Let i be l(-3). Let x(o) = o + 2. Let h be x(i). What is the first derivative of -5*n**2 - 2 + n**2 - h + 3 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 2 - 8 - 4*z + 6.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:35 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 628 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 4:21 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 5 + 5)*((-3 + 3 + 2)*(y + 2*y - 2*y) + 5*y - 5*y - 3*y - 3*y - y + 2*y) to the form c + r*y**2 + x*y and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 - 6 + 6 + (2*o + 5*o - 4*o)*(-o**2 - 4*o**2 + 3*o**2) - o**3 + 1 - 1.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 397.1577kg?\nAnswer: 397157700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 648\/17 or -4\/607?\nAnswer: -4\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 474805533 less than 474805533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*o = 6, 41*k - 37*k - o = -9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t = -6*t - 833 - 543 + 464 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 822740.2 days in milliseconds?\nAnswer: 71084753280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223298\/65 - -3436. Let x be 6\/21 + 18\/35. Let l = j - x. Which is the biggest value? (a) -3 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 200\/642 + (-14)\/21. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108307.792 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-23)\/(138\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 0*b**2 - 1 - 7*b**2 + (2 - 2 + b)*(3*b - 2 - 5*b + 0*b) to o + x*b**2 + r*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210*(-10)\/60*(2 - 14\/5). Let u be 1\/(-3)*(-2)\/(-1). Is o bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.253 - 0.23. Let p = j + -0.159. What is p rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-12 + 18 + 5) - (-7 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 4. Let t be f(-2). Let k(g) = -4 - t - g + 6. Give k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 6 = 0, -3*g + 4*u = -15. Suppose 3*v - 3*j + 0 = 12, -j + g = 4*v. Let a be 36\/2 + -43 + 36. What is the highest common divisor of v and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 9*v - 2961. Suppose 318*f = 313*f + v. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q. Let g = 2\/203 - -167\/3654. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 24*v**2 - 135*v - 54. Calculate l(7).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/54 - k**3 - 110*k**2\/9 + 58*k + 5. Factor p(r).\nAnswer: -2*(r + 5)*(r + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 119.03. What is the closest to 2\/5 in 13, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 m when four letters picked without replacement from {t: 4, k: 1, g: 4, m: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 11*d - 2*d - 130 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -15. Suppose 0 = -4*s - 2*y + 106, 2*s + 4*y - 7*y - 65 = 0. What is the highest common factor of s and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20521578 and 2132112?\nAnswer: 164172624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 17*d - 2677. Let w(o) = -o**2 + 14*o - 2675. Give 5*g(s) - 6*w(s).\nAnswer: s**2 + s + 2665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4502 is divided by 375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 33*r**2 - 14*r - 60. Is h(18) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*m - 46, -2*m + 7*m - 63 = -4*z. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 1. What is b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 436722*d + 19656540.\nAnswer: -2*(d - 218406)*(d + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5488*o**2 + 3185*o - 245. Let g(w) = -45*w**2 + 26*w - 2. Let u(h) = -245*g(h) + 2*q(h). Let a(z) = 100*z. Calculate a(u(y)).\nAnswer: 4900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*c + y + 10, 5*y = 3*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -5 - (16 + -11 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 1.8. Which is the third biggest value? (a) 3 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.3. Let d = -1 + z. Let i = d + 0.6. Is i equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Let y = v + 2. Solve 2*r + 10 = -2*k, y*k + r = -6 - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -53*p**3 - 12*p**2 - 12*p. Let m(y) = 59*y**3 + 14*y**2 + 13*y - 1. Let k(s) = -9*m(s) - 10*z(s). What is k(-5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 510 - 510 - 41*b + (-3*b + 3*b - b)*(4 - 4 + 1) + 3*b + b + 1 - 3*b.\nAnswer: -41*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 + -59 - 15) + (3 - (17 + 2 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*s - 4*s**3 - 4*s**3 - s**2 + 2*s**3 + 805*s.\nAnswer: -6*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 778 - 508. Calculate the greatest common divisor of w and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.348 - 14.352. Round m to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6 + 17 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*i + 18. Let d = -387 + 396. Let h(s) = -2*s**3 + s**2 - s - 1. Let u be h(-1). Solve d + i = u*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 + 5. Let r be l(-4). Let u = -14 + r. Suppose u = 2*o + 1. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/16)\/(-4 - (-2372)\/592). Let c = 287 + h. Calculate the lowest common multiple of 9 and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1217962*c**4 - 47105*c**2 - c.\nAnswer: 29231088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, 15, 55, 95, 135?\n\"Answer: 40*n - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 5*c - 1. Let b be a(5). Let s be b*(3 + 564\/3). Let q = -94 - s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 154. Calculate the remainder when 18 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 - 1790*m**2 - 100695*m - 286110 = 0.\nAnswer: -289, -66, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-2)\/6). Let v be ((-6)\/(-4))\/(x\/(-6)). Suppose 5*c - o = -0*o + 40, o = -2*c + v. Solve g - 2 = -4*s + 4*g, -3*g - c = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-129)\/(-18))\/1 + 2\/(-12). Suppose -8*h = w*h. Let n = 169 + -3551\/21. What is the smallest value in n, -2\/7, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/360)\/(-9)*5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let i(g) = 2*g + 5. What is u(i(a))?\nAnswer: 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, 1, 1.73, 2, 12, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1713*93\nAnswer: -159309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c = 7*j - 4, -5*c = -5*j. Suppose j*m + 156 = 17*m. Calculate the remainder when 21 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2454 = 2*d - 3*w + 1455, 3*d - 2*w = -5861. Let a = 48832\/25 + d. Find the common denominator of 2\/11 and a.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21948 by -17.\nAnswer: -21948\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1008) - (sqrt(1008) - sqrt(1008)*1)).\nAnswer: -5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.58 + -6.64. Let m = w - 2.94. Is 2 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-1) - (-5 + -11 + 4) is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose 4*g - 2 = 3*f, -f - 2*g = -i*f. Let k = 32.9 + -33.2. Sort -5, k, f.\nAnswer: -5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/24*(2 + 6). Calculate the greatest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 71, 171, 313, 497, 723?\n\"Answer: 21*h**2 - 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*k*x**2 + 23*k - 359*x**2 wrt k.\nAnswer: -7*x**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 3*l + 2*l. Let t(u) be the first derivative of 13*u**2 + 291. Determine t(j(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owuo when four letters picked without replacement from owuoouoouooooooouu.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 17. Let f be (12\/(-55) + (-24)\/132)*-5. Solve q*b - 1 = -2*h, -3*b - b = h - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 196.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -342953, -685902, -1028851, -1371800?\n\"Answer: -342949*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.255 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + 24*l - 13. Let v(t) = -8*t**2 + 24*t - 13. Let j(i) = 6*d(i) - 5*v(i). Let q be j(16). Which is smaller: q or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a factor of 933169800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - 244. Solve 2*r - 6 = -4*j, 0 = 2*r - f*r + 5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + -3 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 12*n - 98. Is 48 a factor of ((-3763)\/(-6) - n\/42) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -809, 1553, 5491, 11005, 18095?\n\"Answer: 788*k**2 - 2*k - 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198201 + -535903?\nAnswer: -337702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.5 (c) 0.1 (d) -193552\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*i + 17094 = 0, -2*i - i - 28480 = -5*j. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-15)*(-735)\/196?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40020514 + -2?\nAnswer: 40020512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 107575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 49. Does 9 divide g\/(-75) + (-312)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 31. Let d(y) = 4*y + 2. Let i be d(1). Is n(i) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 30*w**4 + 70*w**3 - 80*w**2 + 45*w - 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4557 + -4556.7. Which is the biggest value? (a) 172 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80245, -80413, -80583, -80755, -80929, -81105, -81283?\n\"Answer: -w**2 - 165*w - 80079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 225 - 138 + 2*q + 322 to the form h + k*q and give h.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422345 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1701, 1629, 1503, 1317, 1065, 741, 339?\n\"Answer: -o**3 - 21*o**2 - 2*o + 1725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -161.3. What is the closest to 2\/7 in f, -3, -20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10440*p**2 + 20*p + 40. Let w be g(-24). What is w rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 184?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(-2 - 3 + 3)*(-4*z**3 - 5*z**3 + 3*z**3)*(z - 6*z + 3*z).\nAnswer: -48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1167) + 13553695\/196445.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 238 - 3*g**3 + 310 + 6*g - 5*g**2 + 2*g**3 + 0*g**3.\nAnswer: -(g - 3)*(g + 4)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -300*u**2 - 338*u. Let g(v) = 7*v. Let z(p) = g(p) + r(p). Find the second derivative of z(w) wrt w.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9362 + 9327. Is -24 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 186, 277, 368?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 18. What is the tens digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d - 35. Let p be q(5). Let g(v) = 41*v + 15. Is 55 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -4483\/234140 - -7\/460. Let z be 99381\/32067 + (-28)\/(-49). Let i = o + z. Find the common denominator of -63\/32 and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 345 (b) -0.5 (c) -1\/4 (d) -4 (e) -0.4 (f) 1.3 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1388060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 111?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**2 - 4. Let p be j(-2). Let a = p - -84. Let x = 22 - a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/24 and 151\/5519250.\nAnswer: 22077000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 12*v - 18. Let k be w(-10). Suppose -729 = k*p - 2*c + c, 0 = -p - 5*c - 359. What is the lowest common multiple of 4\/18 + p\/(-63) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 37, 18, -37, -140, -303, -538, -857?\n\"Answer: -2*r**3 + 19*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 29751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1318 + 1302.97. Let i = q - -15. Let k be (-4)\/10 - (-3 + 2). Which is the nearest to i? (a) -3\/5 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14191926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 19. Let f = 23 + z. Let b = f - 1. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 18. Suppose -a = y - 4. Let n(q) = -a*q - 32 + 32. Let i(h) = 10*h**2. Calculate n(i(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -25*n + 4*n. Put 8, -4, n, -2\/7 in decreasing order.\nAnswer: 8, -2\/7, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.468967mm to meters.\nAnswer: 0.009468967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0567 and 0.063?\nAnswer: -0.0035721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 30 = w. Let c(k) = -k**3 - 4*k**2 + 5*k - 8. Is 17 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/41 or 1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166937925\/2603 - (-1)\/((-2)\/(-4)*19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 2*a**3 + a**3)*(10 - 11 - 14) + a**3 - 4*a**3 + a**3 + 7*a**3 - 3*a**3 - 3*a**3 + (3*a - 3*a - a**3)*(1 - 5 + 3).\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**2 - 5*p**2 - 2*p + 6 - p**3 + 0*p**3. What is the remainder when 39 is divided by l(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + 21. Differentiate -y*h**2 + 68 + 71*h**2 - 93 wrt h.\nAnswer: 122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -6. Let t be (5 - x)*(-4)\/(-5). Let v = -5 + t. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-1 - 0) + 39. Let c(k) = w*k - 1 - 13*k**2 + 38*k - 75*k. Give c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**5\/20 - 2*t**4\/3 - 4*t**3\/3 + t**2 + 7*t. Let l = -11 + 4. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2165, 2096, 2029, 1970, 1925, 1900?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13765.\nAnswer: 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = -1, 5*y + q = -852. Round y to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {b: 4, o: 4, j: 2, n: 1, v: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -2.04. Let q = -13\/9 + 83\/45. Which is the second biggest value? (a) l (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -13*w + 18*w. Find the common denominator of ((-34)\/(-30))\/(4\/70) and (-1641)\/924 + (2 - w\/21).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 6. Let y be n\/(-4) - 22\/(-8). Suppose -4 = 4*c + 4*s, 0 = c - 6*c - 2*s + 7. Solve 0*r + y*r = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {w: 4, b: 7, j: 1, r: 4, l: 2, h: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7226 - 7224. Let w = -0.1 + -0.9. Let y = -172 - -167. Which is the closest to -2? (a) f (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(8\/(-7))*36. Let i = 317\/5 + d. Let j be (6\/14)\/(4\/(-7)). Which is the smallest value? (a) 3\/5 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101122 (base 3) to base 7\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*o + 11 - 7 - 3 - 10 - 2 to t*o + v and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 521.9 - 522. Which is the closest to -0.1? (a) 7 (b) -1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + (-114)\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*b**3 + b**2 + 245*b**3 - 2*b**2 + 3*b**2.\nAnswer: 539*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64945087, 64945095, 64945107, 64945129, 64945167, 64945227?\nAnswer: 64945315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/6) + 12. Let p = h + -18. Let j be p\/(-18) + (-10)\/45. Let y(n) = -n**3 + 5. What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 4 + 0 - q - 4*q. Let d be a(5). Sort -0.1, 3, d in descending order.\nAnswer: 3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/36 - 17*k**3\/18 - 115*k. Let m(n) = 0. What is n?\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-759)\/69*(-2 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 1. Let p(t) = 120297*t. What is s(p(w))?\nAnswer: 360891*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -498 - -498.4. What is the second smallest value in 11\/3, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (-1 + 1\/5)\/((-9)\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*q + 19. Suppose 0 = -q*h + 16 + 4, h = 4*u - 8. Suppose x = -u*t + 74, t + 0*t + 86 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438840 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 29*n + 254 = 0. Let f = -111 + n. Calculate the remainder when 40 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) + 3\/2. Let k be 0\/((-5 + 2)\/3). Let p(o) = k*o - o + v*o. Let q(y) = -3*y. Give q(p(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let l(f) be the third derivative of 35\/24*f**4 + 0*f + 0*f**3 - 3 - f**2. Give l(i(k)).\nAnswer: -70*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 842, 837, 822, 791, 738, 657, 542?\n\"Answer: -l**3 + l**2 - l + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let x(j) = -2*j - 3. Let p be x(-4). Suppose -4*s + 11 = n, 2*s - 17*n + 18*n = 3. Solve p*a + s + q = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*z = 5, -23*z - 17 = 5*w - 22*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80916, 323773, 728536, 1295205, 2023780, 2914261?\nAnswer: 3966648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1)*(-5)\/2)\/((-534)\/1602)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 158 = -2. Differentiate -p*d**3 - 2 + 44*d**3 - 7 - 14*d**3 with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -802, -1529, -2180, -2755?\n\"Answer: 38*f**2 - 841*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -17*l + 211, l = 4*l - 518*u + 517*u - 54 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -29. Which is the second smallest value? (a) -3 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24503757, -24503755, -24503753, -24503751?\n\"Answer: 2*w - 24503759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, u: 4, s: 3, n: 1, t: 6}. Give prob of sequence uusn.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/(-20) + -6 + 28\/10. Suppose -3*z + 5*x = -0*x + 4, a*z + 2 = 4*x. Let f(i) = -18*i**z - 35*i**2 + 18*i**2. Let k(c) = 2*c**2. Calculate f(k(q)).\nAnswer: -140*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.5 (b) 3243 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/165)\/((-35388)\/(-4915))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*j + 3*h - 497, -3*h - 402 = -4*j. Suppose -3*w = 9 - j. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-8))\/((-3)\/(-54)*3). Let z(u) = 2*u**2 - 9*u - 27. Let h be z(b). Solve 3*d - 26 + 5 = 4*q, q - 5*d = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18\/11 (b) -0.4 (c) -2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(76) + -3 + -3 + 1 + (sqrt(76) - (sqrt(76) + -3*sqrt(76) + -1 - sqrt(76))))**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 85 + 30 = 0. Let r = 10 + i. Calculate the smallest common multiple of (0 - (r + 0)) + 5 + -3 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5469 - 5469. Solve j = -3*x, -7*i + 11*i = 2*x + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275219 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9195408 is divided by 1093?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002679 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8532838841 rounded to three dps?\nAnswer: 0.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*m**2*z + 4367*m**2 - 5*m*z**3 - 2*m + z**3 + 62187*z**2 - 27*z + 3 wrt m?\nAnswer: 32*m*z + 8734*m - 5*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -323\/5, -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/2891 - 72785\/147441. Let h = n - -1511\/204. Calculate the common denominator of h and ((-387)\/(-27))\/((-40)\/(-12)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3442437*s**4 + 3678044*s**2.\nAnswer: 82618488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17515400 to the nearest 100000.\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121220120 (base 3) to base 7.\nAnswer: 162216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -149*b + 307. Let p be g(2). Put 3, p, -4, 5 in ascending order.\nAnswer: -4, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e4 + -3c59?\nAnswer: -3a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:19 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.252 - -0.126. Let x = t - -0.125951. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = 18. What is the remainder when 44 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*f + 21*f + 26*f to n*f + d and give n.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19702.7 - 19703. What is the nearest to 3\/2 in -2\/55, -1, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*y**4 + y + 351?\nAnswer: -16368*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/1710)\/((-9)\/(-187842)). Let o = 686\/19 - s. Calculate the common denominator of -119\/80 and o.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -467?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/18 and 59\/658?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -2\/5, 6, 0.5, -4\/243?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3355 + -0.2355. What is the closest to k in -0.4, -2, 7\/3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.263 - -3.263. Let g = 438\/11 - 40. Which is the closest to o? (a) g (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 + 7*i - 19. Is p(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22290*v - 14509.\nAnswer: -22290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838\/10*(29 - 19)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l - 13581 = -13581. Which is the second biggest value? (a) l (b) 0.2 (c) -1228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42 = 8. Suppose i = -0*n - 5*n, -2*k + 455 = -n. Calculate the remainder when k is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 2*r + 4054 = 47*h, -9*h + r = -12169. Calculate the remainder when h is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/7 - 41998*u\/7 + 1834360 = 0. Calculate u.\nAnswer: 308, 41690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22393344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/14*14*18\/(-14364)\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + u - u)*(6*u - 13*u + 3*u)*(7 + 9 - 4) to r + g*u**2 + f*u and give g.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/315 - 5*p**6\/36 + 203*p**5\/90 - 539*p**4\/36 - 3*p**2 - 38*p. Find f such that j(f) = 0.\nAnswer: 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 359, 2631, 8787, 20765, 40503?\n\"Answer: 323*k**3 + 4*k**2 - k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2811 - 1993 = 1201*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s = -10722 + 11142 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915147.\nAnswer: 3, 23, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 2*f**4 + 0*f**4 + (3*f**2 + 1 - 1)*(2*f**2 - 4*f**2 + 4*f**2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.1 (c) 1 (d) -2 (e) 16\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202202221 (base 3) in base 11?\nAnswer: -24192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwg when three letters picked without replacement from wwwwpaggawww?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8941.251 weeks to hours.\nAnswer: 1502130.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-25))\/(3\/((-15)\/1)). Suppose -8 - 7 = -h*u, 3*u - 159 = -5*o. What is the lowest common multiple of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49024.07 millilitres to litres.\nAnswer: 49.02407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 50 = 3*h. Let i = h + 2. Let l = 52 + -18. What is the remainder when l is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9 = 2*l. Let z(t) be the third derivative of -1\/15*t**l + 2\/75*t**5 + 1\/40*t**4 + 1\/200*t**6 - 3*t**2 + 0*t + 0. Find c, given that z(c) = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2)\/(10\/40)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39173029 + 29174*f**2 - 39173029 to g*f**2 + u + d*f and give g.\nAnswer: 29174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924338 is divided by 308105.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 5. Suppose 10 = -5*w + 3*w, -3*w - 23 = g*b. Let m be 88\/16 - (-3)\/b. Solve 8 = t - 5*t - 4*x, -20 = -2*t + m*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30780 divided by -6\nAnswer: 5130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 379064029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:09 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 520383 and 37?\nAnswer: 19254171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:44 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 1052\/3, -2 in descending order.\nAnswer: 1052\/3, -1.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11648 + -10613. Calculate the highest common factor of i and 1863.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 47*b - 997. Determine m(0).\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose -y*c + 2*c + 4 = 0. Suppose -4*n = c*s - 4, -2*s + 2*n + 8 = -6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 2 + 6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 0, 0*d - 844 = -4*d + 2*x. Suppose d = 6*r + 146. Calculate the greatest common divisor of 275 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14436 and -95\/1218?\nAnswer: 2930508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.266493 tonnes?\nAnswer: 3266.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263924?\nAnswer: 2, 65981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*l**3*o**2 - 2*l**3 - l**2*o**2 + l*o**2 - 7*l - 3*o**2 wrt l?\nAnswer: 204*l*o**2 - 12*l - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(208) + -5) - (2 + (sqrt(208))**2) - 5*1*sqrt(1053)) + -2.\nAnswer: -207 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = 28*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314 + -289. Sort 1\/11, 8, m, 0 in descending order.\nAnswer: m, 8, 1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9 - -12) - 3\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5422.\nAnswer: 2, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1745 - 7*n - 1745. Let v(q) = 48*q. Give v(w(u)).\nAnswer: -336*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 43 - 19. Suppose -4*b - 2*f = -66, 0*f = -b - 2*f + o. Suppose b*d + 4 = 16*d. Solve 0 = 3*u - d*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/15)\/(2\/(-10)). Suppose -2*q + i + 34 = 0. Suppose -5*r + 42 = 4*f - q, -f + 4 = 0. What is the highest common factor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 76 in descending order.\nAnswer: 76, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - r - 7 = 0, 61*o = 66*o + 3*r + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199693 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 41*o**2 + 4*o + 160. Let d be s(-41). Let g(m) = 7. Let b(f) = -f + 6. What is d*g(y) + 5*b(y)?\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 66746856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.7. Let i = 89.5012 - 89.8. Let p = i + u. What is p rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*y + 22*y + 8 - 12 - 7 - 3 in the form f + s*y and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959632237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*h - a + 6*a, -a = 3*h. Let d be 7\/(-3) + 0 + 2. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6 + -1)*(-2)\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 2144*b + 1149184 = 0 for b.\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 7*s - 7. Suppose -2*i - 4*r + 10 = 0, -r - 5 = -i - 4*r. Let z = -12 + i. What is l(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661167411 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101681 - -43271. Round m to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(102)\/sqrt(6) + -5 + 5.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28919 + 935?\nAnswer: 29854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 - 507. Calculate the greatest common factor of 52 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-192)\/(-28))\/6)\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-2 - -15) + 3 + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/10)*p\/(p*p*p**(2\/7)*p*p))\/(p**(7\/2)\/p*p*(p\/(p*p**(-6)*p))\/p))\/((p**(-1\/2))**(7\/4))**30 assuming p is positive.\nAnswer: p**(2123\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 - 1 = 2*n, 3*n - 6 = -a. Suppose 5*f + a + 2 = 0. Suppose 12 = 3*y, 0 = 5*u + y - 3*y + 33. Sort f, u, 3.\nAnswer: u, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*-29*(-175)\/19285.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45848011 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and (43\/86)\/((-2)\/(-160)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3576 by 6.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11931 is divided by 3975.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -400787, -801564, -1202341?\n\"Answer: -400777*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l**4 - 162*l**3 + 372*l**2 - 216*l - 96 = 0. What is l?\nAnswer: -2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 + 5596*x**2 - 39221*x = 0.\nAnswer: -5603, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45*-6*(-65)\/(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012651 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 661696?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 - 8*d - 3. Let m be r(-7). Let u be m - (-1 + -1 - -3). Suppose -j = u*j - 8. Let z(h) = 4*h + 1. Determine z(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h + 116. Let p be v(-19). Let w(u) = 8*u**2 + 0*u**2 - 18*u**p + 9*u**2. Let z(l) = 168*l**2. What is z(w(j))?\nAnswer: 168*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h + 57*h - 18*h - 207 - 25*h to t + r*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.3 + 16. Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 17*r + 1. Calculate j(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:18 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9604033573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -345?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8041 - -19297. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmffjjfcjcfmjmmffc. Give prob of picking 1 c and 1 m.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -9. Suppose -15 = 29*m - 32*m. Let a(z) = 8*z**2 + 5*z - 8. Let g(f) = 7*f**2 + 4*f - 7. Calculate m*a(d) + p*g(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Let p = 13 - g. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58\/12 - 125\/150. What is the highest common divisor of 34 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*f + 9, 78*f - 81*f + 15 = 5*g. Solve u + 15 = c - u, g*u + 5 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40954 + 40953.61962. Let f = u - -0.38. What is f rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 16 = 3*l, g - 5*l = 23. Suppose 0 = -g*w + 4*w - 8. Suppose -3*n + w*n = -o + 3, 3*o - 3*n = 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1891 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10554 + 10556. Calculate the remainder when 86 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 - 51*a**2 - 72*a**2.\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 0) + -3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*y + 96*y - 6. Suppose 2*i - 10 = 5*o, -48*i + 52*i = -y*o + 46. Calculate the remainder when 108 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1372 + 0?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6026614 and -49\/204292.\nAnswer: 12053228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22202 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/5)\/((-3249)\/(-95)))\/((-13)\/78)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9*d - 32224 + 176350. What are the prime factors of d?\nAnswer: 3, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i)**(3\/14)*i\/(((i\/i**(-1\/5)*i*i)\/i)\/i)*i**(3\/2)\/i*i assuming i is positive.\nAnswer: i**(23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167354354 to the nearest integer?\nAnswer: 12937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*g - 265*g + 109 = 3*p - 48, 12*g + 5*p = -389 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h**3 - 4*h**2 - 4. Let j(r) = r**3 + r**2 + 1. Let k be ((-18)\/3)\/(78\/13). What is k*o(a) - 4*j(a)?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10212*a**3 - 20290*a**3 + 10079*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21\/1102 - 5\/58. Let y = 3.3 - 2. Let h = -0.3 + y. What is the nearest to h in -2\/5, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 218 - 231 - (5 - 1 - (-4 + -6))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. Let u be (-1)\/(-4) + (-21)\/308. Which is the biggest value? (a) 1\/7 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 5*k + 4, 2*k = 7*n - 28. Solve -n = 14*o - 13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(184\/69))\/(9\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(160) - sqrt(10))*1)\/((sqrt(100)\/sqrt(4)*2 - sqrt(25))\/sqrt(5)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -3128*b + 3124*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:43 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446184429.\nAnswer: 3, 19, 23, 340339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, j: 2, v: 1, t: 1, l: 2}. Give prob of picking 2 l and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2\/3*h**3 - 3*h**2 - 2\/5*h**5 + 4*h + 3\/2*h**4 + 4. Factor f(w).\nAnswer: -2*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/((-2)\/10). Let t(j) = 2 + 9 + j**2 + 12*j - l*j**2. Is t(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-36))\/((-14)\/(-126))*(-16)\/6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11234 is divided by 3736.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -851 - 2b?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -25911.5 to the nearest 100.\nAnswer: -25900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -138*n**3 + 261*n**2 - 4. Let a(i) = i**3 + 4*i**2 - 1. Let l(h) = -4*a(h) + y(h). Find the third derivative of l(r) wrt r.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661073 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, m: 7}. Give prob of sequence oooo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*i + 8*i - 2)*(-26 + 6*i + 26) to the form m*i + f*i**2 + b and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 985*z - 187244. Determine x(190).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -4 - (-33 + 0\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)\/s**(-2\/15))\/(s**(4\/7)*s\/(s*s**(1\/5)*s)))\/((s**2)**34)**(-17) assuming s is positive.\nAnswer: s**(48563\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19104, -19081, -19018, -18897, -18700, -18409, -18006?\n\"Answer: 3*r**3 + 2*r**2 - 4*r - 19105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -6 (c) 25 (d) -481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101 + 1000?\nAnswer: 100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**3 - i - 4*i**2 + 3*i - 3*i**2 + 4*i. Let f(s) = -s**3 - s**2 + s. Let q(w) = -6*f(w) + t(w). Find the third derivative of q(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4581 - -0.0419. What is the smallest value in -4\/7, 1, p, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 - p - p + p + 10*p + p + (-8 + 2 - 2)*(-3 + 3 + 2*p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/208*(-146)\/6 + -9\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6180 (base 13) to base 8\nAnswer: -32217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhk when four letters picked without replacement from {f: 4, h: 6, k: 3, t: 4}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -5bd1a?\nAnswer: 5bd15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/(66\/(-352)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 = 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24540\/(-18))\/((-1 + -3)\/(-120)). What is v rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*-2.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-50)\/4)\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*n**5*p + 399*n**2*p - n**2 + 72*n*p - 2*n + 4 wrt n?\nAnswer: 520*n**3*p + 798*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077 + 5124 = 13*w. Let v = -198 + w. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(1539) + -1 + 0)**2 - (((sqrt(1539) + 3)*1)**2 - 6*(sqrt(1539) - sqrt(1539)*-4)).\nAnswer: 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -l - 23, -3*f = 16*l - 13*l + 39 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 34732?\nAnswer: 69464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052968 is divided by 1119?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360729*n**2 - 2*n + 321636?\nAnswer: -721458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = 357*p - 419*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 967273.4 milliseconds in seconds?\nAnswer: 967.2734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 112, 176, 248, 334?\n\"Answer: g**3 - 5*g**2 + 70*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -900*g. Let n(d) = 2*d**2. What is n(y(z))?\nAnswer: 1620000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t. Suppose 2*c - 14 = 2*i, t*i + 1 = -3*i - c. Let x be i\/(-2) + (-8)\/(-2). Solve 4*d + x*s - 2 = 0, 4*d = 2*s - 6*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, 111827 in decreasing order.\nAnswer: 111827, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 c when three letters picked without replacement from {n: 1, v: 1, c: 2, q: 1, j: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 649\/(-44)*-1 + -14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4133413 - -160?\nAnswer: -4133223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000215234 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -552462 divided by -120\nAnswer: 92077\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + 129\/27. Suppose 2*t + 2*r = 14, 13 + s = 4*t - r. Let k = -6 - -8. Calculate the remainder when t is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 2*o**3 + 2 - 3*o**3 - 6 - 5*o**2 + 1. Let x be g(-3). Solve z + 2*j - 6 = x, -4*z - 4*j = -z - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8719.178 kilograms?\nAnswer: 8719178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)\/(78\/(-26))*-15. Let l be (-8)\/12*21\/16. Let t = 31\/40 + l. Which is the closest to 0? (a) t (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13626 in -3, -1, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-11 + 26 - 22) + 17 + -3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-646)\/6460)\/(1 - 123\/125) + 7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411766115.\nAnswer: 5, 82353223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 20, -2\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13198 is divided by 1099.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = 76. Suppose -m = -n + z, 4*n + 4*m - 14 - 22 = 0. Suppose k = 3*k - 6. Calculate the highest common factor of k and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-18) - 58\/6. Let o = g + 7. Let m = o + 5. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252))**2 + -1 + 1 + 4.\nAnswer: -60*sqrt(7) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37*(-1)\/4*-4. Suppose -3*i + u*i = 27778. List the prime factors of i.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let s = -21 - -29. Let a = 3 - s. Sort a, -1\/6, f in decreasing order.\nAnswer: f, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 0 + 0)*(1 - 3 + 4)*(-1724 - 578 + 4058) to the form w + g*m + d*m**2 and give d.\nAnswer: 7024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2298 - -2560.2. Let i = 262 - l. Let k be -10 + (2 - (0 - 0)). Which is the third biggest value? (a) 3 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 6*p - 4*p as o*p + g and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/247995 and 29\/247995.\nAnswer: 247995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + 2*sqrt(228))*6)\/(4*sqrt(24)\/sqrt(2)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 + o**2\/2 + 18. Let y = 6 - 5. Determine t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002095193502 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23534, -23462, -23390, -23318, -23246?\nAnswer: -23174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (5 + -1) - 13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (-17 - (29 - 43))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k**5 + 2*k**3 + 361*k**2 + 415479*k wrt k.\nAnswer: 240*k**3 + 12*k + 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3*z**(3\/4)*z)\/(z*z*z**(-2\/3)*z*z)**(-41))\/((z**(-1\/5)\/z*z)**(-19))**(19\/4) assuming z is positive.\nAnswer: z**(3731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 17*r + 27. Let w(d) = 3*d**2 + 11*d + 18. Let l(x) = 5*c(x) - 8*w(x). Let f = -1492 - -1497. Determine l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*k**4 + 71 - 178 - 275*k**4 wrt k?\nAnswer: -748*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(500)*1 + 3 + -5)**2.\nAnswer: 80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.00111 + 35. Round h to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 1)*(2 - 1). Let p(i) = f*i + 7*i**2 - 3*i - i + 2 - i**3 + 2. Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/3 + 34*o**4\/3 - 84*o**3 - 216*o**2.\nAnswer: -o**2*(o - 18)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/7))\/(k\/(k\/k**(-5)))*k*((k\/k**(2\/9))\/k)\/k*k*k*k**(-3\/5) assuming k is positive.\nAnswer: k**(2351\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -1\/4*n**4 + 0*n**3 + 0*n**7 - 9\/28*n**8 + 2*n**2 + n + 0*n**6 + 0*n**5 + 14. What is the third derivative of p(l) wrt l?\nAnswer: -2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b*b\/(b*(b*(b**(-1\/2)*b)\/b)\/b*b))\/b)\/b)*b*b**(1\/17)*b)\/((b**22*b)\/(b\/(b\/b**0*b*b))))**(-49) assuming b is positive.\nAnswer: b**(35721\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*x**4 - 49032*x**3 + 5565132*x**2 - 280729992*x + 5310475682 = 0.\nAnswer: 227\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1001143 - -111?\nAnswer: 1001254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**6\/120 + 7*q**5\/60 - q**4\/6 - 5*q**3\/6 - 4*q**2. Calculate the lowest common multiple of 6 and u(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -795578*f**3 - 249143*f**2?\nAnswer: -4773468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*o - 3*v, -2*v + 1 - 3 = 0. Let p be 23 - (2 + 5 - 4). Let j = p + o. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + 153365*j + 220900.\nAnswer: -8*j**3 + 153365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(18\/15)\/(-3). Let v(k) = -15*k + 10*k + 12*k - 44. Let r be v(8). Solve -4 = -3*l + j*f, l + 3*l + 4*f - r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 - -708 - (3 - -105)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let d(f) = -2*f**2 + 2*f. Let z(i) = 2*i**2 - 3*i. Let c(n) = 3*d(n) + 2*z(n). Calculate c(u(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 23. Suppose -h - m = -14. Solve -p - h = -2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 936, 2107, 3746?\nAnswer: 5853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 105*m - 97*m - 122*m + 329*m + 9*m**2 to the form a*m**2 + k + d*m and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -11, -8398, -29 in ascending order.\nAnswer: -8398, -29, -11, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1310958 divided by 54\nAnswer: -24277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 13904.416?\nAnswer: 41713.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 2}. What is prob of sequence xqx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5427\/4 + -27163\/20. What is the nearest to 3 in n, -0.1, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)*2*-4)\/((sqrt(216)\/(sqrt(18)\/sqrt(2)) + sqrt(24))\/sqrt(3)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 19*w. Let m(r) = -4*r. Determine b(m(k)).\nAnswer: -16*k**2 + 76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 3\/(12\/4). Let o(a) = 2 - 7 + 9*a + s + 2. What is the tens digit of o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4471142.\nAnswer: 2, 13, 383, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 0*m + 0 + 2*m - 4 - 1. What are the prime factors of i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24270313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/12 + q**3\/2 + 2*q**2 - 7*q. Let k be h(3). Let s(l) = k*l - 6*l**2 - 2*l + 4*l**2. What is s(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4\/11 + 4*p**3\/11 + 2*p**2\/11 - 4*p\/11 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -1210221120022?\nAnswer: 1210221112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times -13\nAnswer: -0.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + g - 11*g + 6*g, 4*g + 12 = 21*f + 137 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**6\/120 - a**5\/60 + a**2 - 1. Let v(r) be the second derivative of m(r). What is the third derivative of v(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28581842 or 28581839?\nAnswer: 28581842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -4\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2735, -4915, -7169, -9503, -11923, -14435, -17045?\nAnswer: -19759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9064, 7, -6 in ascending order.\nAnswer: -9064, -6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 39 = 10*b. Sort -1, -9, b.\nAnswer: -9, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7527599668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000644857 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {i: 1, p: 9, e: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (13 - (36 - 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 9223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 - -271. What is the biggest value in q, -15\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155974594 to the nearest integer?\nAnswer: 12489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/3)*g)**(2\/21)*g**(-3)\/g**(1\/4))\/(g**(-1\/13)\/(g\/g**(-2\/13))*(g\/g**0)**(5\/3)) assuming g is positive.\nAnswer: g**(-11243\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**10\/151200 + m**6\/360 + m**5\/20 - m**2. Let g(q) be the third derivative of d(q). What is the derivative of g(z) wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-114)\/(-66))*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 - 84*x**4 + 292*x**3 - 348*x**2 + 136*x = 0. Calculate x.\nAnswer: 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2864, -2860, -2856, -2852, -2848, -2844?\n\"Answer: 4*o - 2868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 107*w + 1353. What is n(39)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 198507*x - 3374621. Determine w(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*h + 463 = 0, 2*t - 1365 = -t + 4*h. What are the prime factors of t?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 14. Let q be d(-5). Solve -q*r + 0*r = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140296)\/(-5396)*(-37)\/(-26)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*j + 5, -6 = 3*k - 5*j + j. Suppose k*o + o = 426. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15348 and 184471449?\nAnswer: 3837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjgjjjjjjg. Give prob of picking 2 g and 1 j.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 501 * -2.\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5407.6 plus 0.1?\nAnswer: 5407.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -302.\nAnswer: 302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 645*v**2 + 3224*v - 16901. Determine l(-650).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 4, 3\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*w - 0 - 10, 3*p + 27 = -4*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4645 + -4645. Let y(h) be the second derivative of 4\/3*h**3 + 7*h - 9\/2*h**2 + b. What is the first derivative of y(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-8)\/(-7) - (18 - 6511\/238). Which is the third smallest value? (a) 5 (b) 1 (c) 0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 7\/(21\/6). Let h = 4 - 7. Which is the nearest to p? (a) h (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-30)*(-170)\/(-17)*(-2031)\/4. Is -675 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, z: 5, h: 1, c: 9}. What is prob of picking 1 z and 1 c?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -36. Which is the nearest to -8? (a) 2 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-2\/153) assuming d is positive.\nAnswer: d**(4\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 145. Let v(d) = d - 58. Let k(x) = 5*v(x) - 2*z(x). Let g(f) = 252*f**2. What is k(g(t))?\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033 + -130?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 3*g + 1. Let u be l(-2). Let k be 2 + 0 - (u + 2). Suppose 0*q - k = -q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*m = 14, 118 = -2*f + 3*m + 121 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/32)\/((-1)\/(-2)). Sort -6, -1, r in descending order.\nAnswer: r, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b8a (base 12) to base 14\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 235*v**2 - 4*v. Let l(h) = 279*h**2 + 287*h**2 + 285*h**2 - 1129*h**2 + 279*h**2. Determine t(l(u)).\nAnswer: 235*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 - 4*s**2)*(2*s - 2*s + 4*s + (3*s + s - 2*s)*(3 + 0 - 1) + s - 3*s + s - 4*s + 4*s - 2*s + 2*s + 3*s - 3*s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2333212 milligrams?\nAnswer: 0.0000000002333212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -540 (c) 3\/7 (d) -1 (e) 5864\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2679)\/47*(-556)\/(-1600446)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14.4*-0.000269\nAnswer: 0.0038736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.440910207 - 1.4409. What is u rounded to seven decimal places?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415116?\nAnswer: 2, 281, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 19. Suppose -11 = 3*o - u + 1, 2*u = s. Let c(v) = v + 5. Let g be c(o). Solve -4*y - 26 = g*l + l, 0 = 2*y - 3*l + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) - (0 + sqrt(272) + sqrt(272)))*5 - (1 + (sqrt(2057) + (-1 + sqrt(2057))**2 - sqrt(2057)) + sqrt(2057) + sqrt(2057) + sqrt(2057)*-2 + -2).\nAnswer: -2057 + 82*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6 - 7 + 55*n + 0*n + 15*n. Let y be r(2). Suppose v + y = 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/6 - 0. Suppose 3*d - p - 23 = 0. Solve 6*v = 4*v - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -156*u**2. Let p(r) be the second derivative of -r**4\/12 - 2*r - 49. Determine d(p(j)).\nAnswer: -156*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -0*h. Let c be h + 3 - 18\/(-6). Suppose -c = -0*j + 2*j. Put 6, 5, j in decreasing order.\nAnswer: 6, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = 0. Solve 20 = -4*f + 5*w, 3*f + 12 = -n*f + 3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -26*q + 1334. Is p(47) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -60*x**2 + 21*x**2 + 6*x**4 + 65 - 3*x**4. What is the second derivative of y(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (-4 + (1 + sqrt(832) - sqrt(832)))) + -2*sqrt(832)*5)**2 + -3 - (((sqrt(832) + -1)*6 - (sqrt(832) - (sqrt(832)*-1 + -1)**2)) + -5).\nAnswer: -488*sqrt(13) + 66576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.41515 - 4.917. Let w = g + -0.4996. Let b = w - 6. Round b to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3725a (base 12) to base 9\nAnswer: -123367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-4)\/sqrt(7))\/((sqrt(20) - sqrt(80))\/sqrt(10)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -1) + 1 - (1 + -4 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 4 - 4)*(9 - 9 - 1) + 8*q**2 - 20*q + 20*q + 2 + q**2 - 2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zastasusausxzxzzxzas. Give prob of picking 1 x, 1 z, and 1 a.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005024890637 rounded to five dps?\nAnswer: -0.00502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - a - 160 = 0, -164*a - 74 = -2*q - 324*a + 162*a for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -858537 (base 10) to base 15\nAnswer: -11e5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/63 - (-640)\/9. Suppose -j = 5*f - 154, 4*f + 4*j = h + 65. Calculate the highest common factor of f and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/56*f**7 + 1\/8*f**3 - 4*f + 0 + 0*f**4 - 3\/40*f**5 + 0*f**2 + 0*f**6. Solve l(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 78*a.\nAnswer: -3*a*(a - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p + 15. Let v be (p\/5)\/(13\/65). Solve 3*q**3 - 4 - 15*q + v*q**4 - 9*q**2 - 7 + 5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:14 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*6\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60388 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1824 + -1733. Let l(o) = o**2 + 2*o - 4. Calculate the remainder when j is divided by l(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*n - 23, -2*s - n + 25 = 3*s. Suppose -s*y = -h - 1095 + 293, 0 = 5*y + 3*h - 994. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v - 7. Let x(p) = 90*p - 36. Let s(c) = 16*u(c) - 3*x(c). Let m be s(7). Let q = -616\/5 + m. Sort -0.2, q, -2.\nAnswer: -2, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.9 + 5605.\nAnswer: 5614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -101*w + 72. Let y(f) = 32*f - 24. What is 2*b(s) + 7*y(s)?\nAnswer: 22*s - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(2\/3)*z)\/z)\/z*z**(1\/4)\/z)\/(z**(-4\/3)\/(z**0\/z*z)))\/((z*z**(1\/5))\/(z\/(z**(2\/5)\/z)*z))**(1\/10) assuming z is positive.\nAnswer: z**(17\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)\/(sqrt(8)*-1)*-6)\/(sqrt(6)\/(sqrt(8)\/sqrt(4)) - ((sqrt(12) + sqrt(3))*6 + sqrt(3))))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*t - 23664 = 408*t + 16586 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from wwwwwwwiii.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m - 3*v, -4*v = 8. Let f(b) = 258*b + 253. Let i be f(-1). Sort -100, m, i, -3.\nAnswer: -100, i, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 273 or 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 199*u - 1983. Let l(k) = -4*k**2. Calculate h(l(i)).\nAnswer: -796*i**2 - 1983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**2 - 49*y**3 - 22*y**3 + 4*y**3 + 7*y**2 - 3*y. What are the prime factors of x(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 2*f**2 - f - 5. Let g be o(0). Put 10, g, 0 in descending order.\nAnswer: 10, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.077 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - 5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y**2 - 5*y + 4. Let c(n) = 5*n**2 + 3*n - 2. Give 5*c(q) + 3*u(q).\nAnswer: -8*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70\/(-350))\/((-2)\/10). Is -84 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 + 87612*o - 2100384 = 0.\nAnswer: 24, 21879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 + 279*d**4 - d**3 - 30*d**2 + 2696*d?\nAnswer: -120*d**2 + 6696*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1141911 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v**2. Let k(t) = -2*t + 123*t**2 - 83*t**2 + 100*t**2 + 2*t. Calculate k(b(d)).\nAnswer: 23660*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 18. Let y = -2 + l. Let q(p) = -p**2 + 5*p - 2. Let d be q(y). Solve i + 1 - d = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20710\/(-934021)*66\/15.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/1685223 and -55\/36?\nAnswer: 6740892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 - 82*r + 19. What is h(-22)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 9}. What is prob of sequence ngg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18800 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 29*h - 85. Let r be b(14). Let m = -161 + r. Calculate the greatest common divisor of m and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6602714 or 6602706?\nAnswer: 6602714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -30.69\nAnswer: -9.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2389997 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552531.\nAnswer: 3, 7, 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -8. Let s(t) = 6*t**2 - 1 + 3*t**2 + 0*t**2 + t**3 + t - 5*t**2. What is the least common multiple of 5 and s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 + 2*n**5\/15 + n**3 - 14*n**2. List the prime factors of i(-7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btycytbcy. Give prob of sequence ybyy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19656 divided by 52.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 1402a8?\nAnswer: -140301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(180) + sqrt(180) + 0 + -2 - ((sqrt(180) + 2 + -1*sqrt(180))**2 + sqrt(180))).\nAnswer: -2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 5*z + 27, -2*f + z = -9. Suppose -5*k - 63 + 191 = f*t, 3*t + 124 = 4*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) -841096 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5639274*r**3 + 14305500*r**2.\nAnswer: -33835644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 911 divide 533846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*96\/(-90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14.49 * 9949.1\nAnswer: 144162.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 495141, 990603, 1486065, 1981527, 2476989?\n\"Answer: 495462*u - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 318087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23577 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156b + -5a99?\nAnswer: -452a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 56. Suppose b*r = r + 787. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 637329578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -83*c + 87. Let u(i) = 42*i - 39. Give -2*k(o) - 5*u(o).\nAnswer: -44*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 869401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -8, -3, 173 in descending order.\nAnswer: 173, -2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.934 + -104.666. Let b = 106 + v. What is the fourth smallest value in b, -0.3, -16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -226537905298 and -11.\nAnswer: -226537905309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.76981496 rounded to three decimal places?\nAnswer: -15.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26\/6 + -6*(-6)\/54\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzyznwzzzzrnn. What is prob of sequence ny?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w**3 - 2*w + 1. Let u be 12 - (-470)\/(-40) - 3\/(-4). What is f(u)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -69058170941988.\nAnswer: 69058170941991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(1*sqrt(2))*-5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000138242773 rounded to 7 decimal places?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*r = -28, -2*n + 4266*r - 64 = 4273*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2015830 - -1151130. What is m rounded to the nearest ten thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84655 is divided by 2016.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2 - 6, q + 83 = -5*f. Let p be 68\/f - -1*1. Let v = p - -14. Calculate the lowest common multiple of 3 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7313*m - 36556. Calculate f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 357 - 645*y - 713 + 356. Let i(g) = -19*g. Determine 135*i(a) - 4*r(a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 940019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-157 + 157 + 8*a)*(7 - 5 - 1) + 14 - 11*a - 14 as k*a + r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -22*o + 13*o. Let p = o - 9. Which is the smallest value? (a) p (b) -0.3 (c) 2\/3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 362033655 + -6?\nAnswer: 362033647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236056 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 914, 1825, 2736, 3647, 4558?\n\"Answer: 911*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 993*k - 8 - 2123*k + 1013*k to the form o + v*k and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 4225034609?\nAnswer: -4225034609.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 82. Find the first derivative of -64*p**d + 89*p**4 + 3*p**3 - 28 - 3*p**3 wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d**3*s - 19*d**2 - 35*s - 51 wrt d?\nAnswer: 33*d**2*s - 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122222 (base 3) to base 4.\nAnswer: -1023323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, i: 1, v: 3, o: 2, b: 3}. What is prob of sequence ov?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 6 = 0. Suppose -d + 26 = -2*g, 0 = 2*g - x*d - 0*d + 34. Let n be g*(-2)\/(-6)*-3. What is the highest common factor of n and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:03 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005159 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -564244 - -125?\nAnswer: -564117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -686*i**3*r**3 - i**2*r - 71*r**3 - 1 wrt i?\nAnswer: -4116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*54\/(-9)*8\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 330 = 22*j. Let m = 4 - j. Let l = 69 - m. Which is the biggest value? (a) 4 (b) 2\/13 (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 12. Let c(b) = -b - 1. Let o(w) = 6*c(w) - t(w). Let z be o(0). Solve -2 = -2*s - z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 36 = 3*y. Let x(l) = l**3 + 3*l**2 - 2. Let u(v) = -v**2. Let g(h) = 6*u(h) - x(h). Let m be g(y). Solve -2*z + m*r = 0, 5*z + 3*r + 0 = -8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11842536 + -3?\nAnswer: 11842533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:08 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 11. Let d = 24 - 15. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/121 - -217\/3025. Which is the closest to -21? (a) y (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 3*m. Let s(y) = -y**2 - 43*y + 205. Calculate the remainder when s(-47) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 11*x**2 - 29*x + 56. Give u(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38126 - 10084?\nAnswer: -48210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from onphp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 44, 54, 64, 74, 84?\n\"Answer: 10*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/7 + 252*s**2 = 0.\nAnswer: -882, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 52, 163, 380, 739, 1276?\n\"Answer: 6*t**3 - t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*y + 610, y = 2*x - 763 - 435. Suppose 0 = 14*n - 2382 - x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -231*a**2. Let c(h) = h. What is c(o(f))?\nAnswer: -231*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 934904 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 108 + 388 = 0. Let g(f) = f**3 + 132. Let n be g(0). Let s = c + n. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = 5*l + m, -3*l - 163 = 3*m - m. Let w = 61 + l. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29092735 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g + 36*g + 23 - 13*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 - -0.28. Let s = p - -0.3. What is the biggest value in 1\/6, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -67, -153, -283, -463?\n\"Answer: -x**3 - 13*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 18. Calculate the highest common divisor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(270)\/sqrt(9))\/(sqrt(490)*2).\nAnswer: 5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v. Let d(s) = -9*s. Suppose -3*i - 2 = 4. Let o(l) = i*d(l) + 5*h(l). Suppose -5 = -q + 6*q. What is o(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 308, 1204, 2700, 4796, 7492, 10788, 14684?\n\"Answer: 300*l**2 - 4*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*a, -m = 2*a - 3*a - 3. Let o(s) = 3*s - 2. What is the lowest common multiple of 8 and o(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 2. Let v = 995 + -497. Let x = v - 9464\/19. Which is the third smallest value? (a) 1 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39d + 2?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 318, 323, 306, 267, 206?\n\"Answer: -11*y**2 + 38*y + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1511602 not equal to -1511607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37b46 (base 14) to base 12\nAnswer: 67116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:55 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngonnnnnnngngn. Give prob of sequence gngg.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 521333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*d - 16, 0*f - 14 = d - f. Let g = -11 - d. Put g, 5, -3, -38 in decreasing order.\nAnswer: 5, g, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -55 - 15. Suppose -2*g + 3*g = -4*r + 37, g = 5*r - c. Suppose -4*z + 0 + r = 0. Calculate the highest common factor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 25 + 254)*(-2*v + v + 0*v)*(-v - 2*v**3 + v).\nAnswer: 546*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44162, 88323, 132484, 176645?\n\"Answer: 44161*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 1. Let t = -18 - -23. Let p(h) be the third derivative of -1\/8*h**4 + 0 + 2*h**2 + 7\/6*h**3 + 0*h. Calculate t*n(y) - p(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 43*k - 20. Let v be l(-22). Solve v*c - 3 - 1 = 3*q, 2*q - 2*c = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 - 14*h**4 - 42*h**3 - 16*h**2 + 43*h + 30 = 0.\nAnswer: -10, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 378070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*g = -4*w - 104*g + 20, 3*w + 19 = -4*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 90. Let o = -8 + v. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*w - 3*w. Put 2, w, 3, 4 in ascending order.\nAnswer: w, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + k - 10 = -38*h, 2 = -k. Let t(j) = -32*j**2 + 13*j. Let d(r) = 8*r**2 - 3*r. Give h*t(c) + 26*d(c).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 100, 84, 60, 28, -12, -60?\n\"Answer: -4*a**2 + 4*a + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(312)\/sqrt(6) - (sqrt(13) - (sqrt(13) - sqrt(104)\/(-3*sqrt(8)))).\nAnswer: 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 7*j**5\/20 - 4*j**3 - 46*j**2. What is the first derivative of q(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 46?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilr when three letters picked without replacement from {r: 1, a: 2, l: 1, w: 1, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Let w = -7 + 2. Sort w, 3, b.\nAnswer: w, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*c = 4*y - 47706, 5*y + 2*c = 79526. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 - 0 - 1). Which is the smallest value? (a) o (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + 1. Let z(p) = -2*p**3 + 17*p**2 - 4*p - 1. Let h(r) = 5*r**3 - 14*r**2 + 3*r + 2. Let g(o) = -4*h(o) - 3*z(o). Give -2*g(k) - 10*w(k).\nAnswer: 38*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01282401759 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + 28*m**2 - 28*m**2 + (3*m + 2*m**2 - 3*m)*(2*m**3 + 4*m**2 - 4*m**2) + 1 - 1 + 2*m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 13\/6, 0.1, -0.2, 1 in descending order.\nAnswer: 20, 13\/6, 1, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 205*a + 205*a - 24543*a**3.\nAnswer: -24543*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 190 = 2*j, 0 = -0*y - 3*y + 4*j + 114. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*b**2 - 23070 - 23052 + 46122.\nAnswer: 177*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (152\/(-20))\/(1*(-4 + 57\/15))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(1\/43)*b**(-12\/11)\/b**(2\/7) assuming b is positive.\nAnswer: b**(-106\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1735.2?\nAnswer: -5205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 18*g**2 + 17*g + 8. Let a(q) = q**2 + 17*q - 8. Let s be a(-17). Let v be m(s). Solve 3*i + 4 + 7 = -4*b, v = -i - 4*b - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-9)\/42*(-1)\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and -0.02649032?\nAnswer: -1.00663216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559207?\nAnswer: 11, 29, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9454333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(9\/36). Find the third derivative of -4*g**4 + g**2 - 7*g**y - 2*g**2 wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635530849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/29)*y**(-1\/9)\/y*y\/y**(-5\/2)*(y*y**2)\/y assuming y is positive.\nAnswer: y**(2327\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 2*b + b)*(0*b + 0*b + 9*b + (0*b - b + 0*b)*(2 - 12 - 4)*(0 - 1 + 3)) to l + m*b**2 + a*b and give m.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*i - i - 5, 0 = -5*i. Suppose 0 = 4*f - 3*v + 13 - 5, -17 = -5*f - 3*v. What is the nearest to -2\/7 in z, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20447 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*i - 7*i + 94*i - 74*i + 1606 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*b + 7824 - 7800, -4*b - 24 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*l - 16 = -6*l, 2*o = -3*l + 12. What is the biggest value in -10, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = p - 24, p - 14 = 18*u - 16*u. Solve -p*a + 7*a + 5 = -5*g, 2*g - 29 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2*l*l)**(-1\/61)\/((l**(-10)\/l*l)\/(l\/((l*l**(-1\/5)\/l*l)\/l))) assuming l is positive.\nAnswer: l**(3411\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 o when four letters picked without replacement from ooeeoooooooe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 76 = -10*p. Let a be (57\/p)\/((-1)\/2). Solve j - 6 = -0*c - a*c, 0 = -2*j - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120529.\nAnswer: 43, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555846923 to the power of 1\/3, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.65130461 - 1.52442891. Let i = l - -3.9732253. Let n = 23.1 - i. Round n to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/1876, -1\/10, -3.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3571877717 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:57 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 + 5*m**3 - 2*m**2 - 15 + 136 as q*m + l*m**2 + b + r*m**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**3 - 9*x**2 + 7*x + 5. Let p(i) = -4*i**3 - 4*i**2 + 3*i + 2. Determine 2*n(m) - 5*p(m).\nAnswer: 2*m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*w + 3*w - 5, -20 = -4*x - 4*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 537061667 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -28, -51, -86, -139, -216, -323, -466?\n\"Answer: -k**3 + 3*k**2 - 19*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by -121.\nAnswer: 173\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0 - 2*h - 1 - 1 + 5. Let a(l) = -29*l**2 - 7. Let p(o) = 25*o**2 + 6. Let g(q) = 6*a(q) + 7*p(q). Calculate b(g(n)).\nAnswer: -2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1562750 and 119\/1900?\nAnswer: 3125500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1704 + -855. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -11\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) + (-1)\/(-3). Let z = -37 - -43. Solve t*k = -2*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14627510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 6152*h - 1. Let t(i) = 8*i. Determine x(t(s)).\nAnswer: -192*s**2 + 49216*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-18)*(h*h*h*h*h**(1\/16))\/h assuming h is positive.\nAnswer: h**(-239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 21*x**2 + 23*x - 133. Calculate d(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/62912 and -133\/6408.\nAnswer: 50392512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110419 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13404 + -804259\/60. Find the common denominator of r and 7\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 75. Solve -3*o - t = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10430504 and 10?\nAnswer: 52152520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036 times 0.052?\nAnswer: 0.0001872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 163.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = h - 3*g - 31, 4*h = -4*g - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1633 + 1551 = 45*n - 138*n + 5219 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 3, -5, -3, 5, 79, 40 in ascending order.\nAnswer: -5, -3, 3, 5, 40, 79, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4931712 and -113\/2774088.\nAnswer: 44385408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 255989953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 - 240*n**2 - 483*n - 242 = 0. What is n?\nAnswer: -1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*w = -26, -4*w = -888 + 892 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**8\/14 + 2*p**5\/5 - 13*p**2\/2 + 8. Let l(s) be the second derivative of b(s). Find the third derivative of l(u) wrt u.\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7942 by 209.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let c(u) = 21*u**2 + 10*u + 16. Let n(s) = -32*s**2 - 14*s - 23. Let x(a) = -7*c(a) - 5*n(a). Give x(b(v)).\nAnswer: 52*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -3*m**4\/2 - m**3\/3 - m**2 - m + 14. What is r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4 - 349*t + 358*t)*(13*t**2 + 0*t**2 + 4*t**2) + 3*t - 2*t**3 + t - t.\nAnswer: 151*t**3 + 204*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3 - -1) + 103 + -3. What is the units digit of 5\/(20\/(-8)) + b + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305869*r + 614855*r - 306604*r.\nAnswer: 2382*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -30, 11, 1 in decreasing order.\nAnswer: 11, 8, 1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 64789765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100934968889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 66*s - 70*s - 16, 0 = 5*f + s + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvmuodddvddddvidiu. Give prob of sequence iimd.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 205.919\nAnswer: 494.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 2)*(-t - t + 4*t)*(-8*t + 2 - 2)*(4 - 4 + 1)*(-2 + 0 + 0) to n + j*t + i*t**2 and give i.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**2 - 127*p - 25. Let k(z) = -2*z**2 - 43*z - 8. What is -3*a(f) + 10*k(f)?\nAnswer: f**2 - 49*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6192197ml to litres.\nAnswer: 0.0006192197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(192\/(-8)) + 1. Which is the nearest to 1? (a) g (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16 = -4*q. Let y(d) = -d**2 + 9*d - 2. Calculate y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o + 29*o**6 - 2*o**2 + 154*o**4 - 154*o**4 wrt o?\nAnswer: 3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 15?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2212355983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.132 - 29.468. Let l = p - -22. Let k = l + 7.6000154. What is k rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5810496 divided by -48?\nAnswer: -121052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406100643 to the nearest integer?\nAnswer: 37498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 119*j = -120*j - 23, -j = 2*s - 7. Solve 3*h = 2*n, 5*h - s*n = -5*n + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75654, 302581, 680786, 1210281, 1891078, 2723189, 3706626?\n\"Answer: 2*r**3 + 75627*r**2 + 32*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -3.179449.\nAnswer: -69.947878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(16\/4)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(45) - sqrt(45))\/((sqrt(18)*2 + sqrt(18))\/sqrt(2)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*u = -0*u - 3025, 0 = -2*u - 10. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 + -5 - -2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115*(-25)\/250)\/((-3)\/6*-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -17\/5, 29, 2\/3.\nAnswer: -4, -17\/5, 2\/3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*p + 589*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1380 + 1184. Let j be 2\/(-7)*t\/308. Find s such that 0 + 2\/11*s**2 - j*s**3 + 0*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.04 (c) 35 (d) -28\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let a(y) = -4929*y**2 + 371*y - 371. Let f(r) = 53*r**2 - 4*r + 4. Let g(p) = 4*a(p) + 371*f(p). Determine w(g(c)).\nAnswer: -2809*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100)\/(-3) + (-6)\/(-9). Suppose a = -h + 83. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:51 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24149 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 15*x - 3. Let v(s) = -5*s**2 + 8*s + 1. Let w(n) = 24*n - 126. Let g be w(5). Give g*m(o) - 11*v(o).\nAnswer: o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1047221.7285 to the nearest one hundred.\nAnswer: 1047200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288) - (0 + sqrt(18) + (-3*sqrt(18) - sqrt(18))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 3 - 11*x**4 + x**2 + x**4 + 8*x**4 - x**4 to the form s*x**3 + r*x + t*x**4 + n*x**2 + p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*j - 86*j + 7407 + 14689. Is j >= 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:15 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8978811 and 1140.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - 2396*g**2 - 32184*g + 772. Give x(-785).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = -26*i + 23*i, 5*d + 4*i = 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 5*sqrt(2736) + -3)**2 + -2 + 4.\nAnswer: -120*sqrt(19) + 68399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + p = 1811, 0*m - m + 3*p + 909 = 0. Suppose m = i - 7. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 808413 (base 9) to base 8\nAnswer: 1646540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12308?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 23 + -9 + 4 + 5 + -102 + -7?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1766 - -1765. Sort n, 0.1, -2, -4.\nAnswer: -4, -2, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1408621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311252?\nAnswer: 2, 3, 113, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0421 * 0.3\nAnswer: 0.01263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((4\/6)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2842406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3825863 and 12565.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 93 = -77. Suppose 8*s - 88 = 4*s. Calculate the remainder when s is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let j(n) = -n**3 - n + 3. Let g be j(0). Let u(a) = g*a - a - a. Determine u(w(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 62*v - 61*v + 3*v**3 - 80*v + 13*v**2 in the form w*v**3 + l*v**2 + o + y*v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-47 - -41 - (1 - 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - h + 61 = 0, 0 = 2*i + h + 51. What are the prime factors of (i\/6 - -2)*-18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:24 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45505, 92975, 140443, 187909, 235373, 282835?\nAnswer: 330295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -30*v + 14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172535 - -1?\nAnswer: 172536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 11}. What is prob of picking 1 l and 2 v?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -124, 1 in increasing order.\nAnswer: -124, -0.21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2529 + 664. Suppose n = 135 + u. What are the prime factors of n?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -1213*g + 1225*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Suppose -5*d = -3*f - 47, 2*d = -f - 12 - 0. Calculate the remainder when (-2 - 6*6)\/(-2) is divided by z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 1354, 3153, 6300, 11245?\nAnswer: 18438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -88, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315884 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130317911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19576373.\nAnswer: 601, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v)*(-19*v - 31*v + 18*v)*(-2*v + 1 - 1).\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -86, -0.02, -22, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13749.4 and 12.\nAnswer: 164992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 6*g**2 - 2*g**2)*(2*g**2 - 7*g**2 + 2*g**2) + 8*g**4 + 11*g**4 - 3*g**4.\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4715 = -5*z - 3*g, 3024 = 3*z - 2*g + 214. Calculate the remainder when z is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 4. Let r(u) be the first derivative of 9*u - 6 - 9\/2*u**2. Give -5*o(h) - 2*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-176)\/(-40) - 5\/(-75)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4340 - 4439.18. Let v = -100 - j. What is v rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6.8. Let d = 0.1 + 0. Let s = u + d. Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 60. Calculate the common denominator of -31\/8 and (3 - (-393)\/j)\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13638 - -13823. Calculate the remainder when 1862 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 836, 2, 3, -28, -2, -5, 4 in descending order.\nAnswer: 836, 4, 3, 2, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1827465729 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 102 (c) 2\/3 (d) -1\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 4 - 4)*(25 + 0 + 20)*(-2*j - 2*j + 3*j + (-4 - 1 + 2)*(-j + 2*j - 2*j)).\nAnswer: -90*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5081584*-184\nAnswer: -935011456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.35208481 and -5.\nAnswer: -1.64791519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, -0.2, 0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 863 or 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -40. What is the nearest to -1 in n, 4, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 13*g**3\/3 + 7*g**2\/2 - 1. Let k(h) be the second derivative of h**4\/3 + h**3\/3 + 4*h - 2. What is 2*i(s) - 7*k(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-207)\/45 - (-4 - (-66)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466355, -932749, -1399143, -1865537, -2331931, -2798325?\nAnswer: -3264719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 538117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2996*y**2 - 11968*y**2 + 2964*y**2 + 2993*y**2 + 3003*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.5364 - 0.0636. Let s = -73 - y. Let n = s + 9. Put -0.2, -0.3, n in descending order.\nAnswer: -0.2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from xxxhyhxyhhhh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40511790 divided by 44715\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 397591435*x**2 + 765682896*x wrt x.\nAnswer: 795182870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246517969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 2 r when four letters picked without replacement from {r: 3, v: 1, i: 1, k: 6, b: 1, y: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*a = 60, -4*u - 3*a - 26 = -102. Suppose -u = -l - l. Solve 5*k + 4*z - 24 + l = 0, 3*z - 9 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23399 is divided by 23392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2176781*w**6 - 13*w**2 + 99729*w + 4.\nAnswer: -261213720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 1:31 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 41*g**3 + 5*g**2 - 6. Let a be l(-2). Let d = a + 310. Let m(r) = 6*r**3 + 8*r + 4. Let x(b) = -5*b**3 - 7*b - 3. Give d*x(k) - 3*m(k).\nAnswer: 2*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:44 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauctuyutcccuycu. What is prob of sequence tutc?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7)\/5 - (-132)\/(-55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15151479726 + 15151479726 + 1556*g**2.\nAnswer: 1556*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1824093*b**2\/7 - 25537303*b\/7 - 2.\nAnswer: -(b + 14)*(1824093*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/9 + 40*w\/3 - 232\/9 = 0.\nAnswer: 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 162*y + 1092. What is u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 + 187 = -m. What is the third derivative of -28*j**2 - 166*j**2 + 34*j**5 - 33*j**5 + m*j**2 + 72*j**5 wrt j?\nAnswer: 4380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1084\/(-21000) + (-2997)\/(-749250).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*r - 41*r - 36*r + 60*r**2 - 59*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) - (sqrt(350) - (sqrt(350) - (sqrt(350) - sqrt(350)*2)))))\/(sqrt(672)\/sqrt(6)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(77)\/sqrt(539) + (sqrt(70) - (sqrt(70) - (sqrt(70) - (sqrt(70)*1 - sqrt(70)))))\/sqrt(10).\nAnswer: -1 + 8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172276.\nAnswer: 2, 13, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*u - 2, -u + 4 = a - 6. Calculate the remainder when 2\/7 - 94\/(-14) is divided by (3\/2)\/(3\/a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 102\/(-4) - 3\/(-6). Calculate the remainder when 3 - (p + -1 - -1) is divided by ((-3)\/6)\/((-3)\/60).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1943*i*m**3*x**2 - 2*i*m**3*x + 2*i*x**2 - i*x - 23*m**3*x**2 + 618*m**3*x - 4*m*x wrt x?\nAnswer: -3886*i*m**3 + 4*i - 46*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 31 = 3*s, 2*s + s - 11 = -r. Let l(g) = -21*g - 137. Let h be l(-17). Calculate the highest common factor of h and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3)\/((-2)\/8) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102849329 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 6*v - 4 - 12*v + (2*v + 4*v - 5*v)*(17 + 5 - 6) as w + r*v and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = f. Is -388*2\/(32\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpsqqcdpdcxsqdp. Give prob of picking 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) + (sqrt(144) - sqrt(4))).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959803499 to the power of 1\/2, to the nearest integer?\nAnswer: 44270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let d(w) be the first derivative of w**5\/120 + w**4\/12 - 43*w**3\/3 - 19. Let c(y) be the third derivative of d(y). What is l(c(k))?\nAnswer: k**2 + 4*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -2\/3 (c) 3 (d) -2 (e) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75 - -79)\/(1 - 6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 - 8*r + 12. Let l be i(-5). Suppose s = l*s - 238. Does 34 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37 + (0 - -1) + 0. Let v(b) = -b**3 - 8*b**2 - 2*b + 3. Let a be v(-8). Calculate the highest common divisor of o and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-6*-5)\/(sqrt(121)\/(sqrt(11) + (sqrt(11) - sqrt(121)\/(sqrt(11) + -3*sqrt(11)))))*-3.\nAnswer: -450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3074.\nAnswer: -9222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*v + 17 = 0, -22*x + 26*x - v + 7 = 0. Let o(b) = 31*b**3 + b**2 + 2*b + 2. Determine o(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4 + (0 + 0 + 1)*(3 + 2 - 3))*(-6 + y + 8 - 3)*(45*y**2 - 13*y**2 + 36*y**2).\nAnswer: 272*y**3 - 272*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/4)*d)\/d)\/(d**(-9)\/d))\/(d**(-7)*d**(-4)))**(-44) assuming d is positive.\nAnswer: d**(-913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772.36582 rounded to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g**2 + 15 - 3*g**3 + 2*g**3 - 6*g - 19. What is the remainder when 34 is divided by o(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 716 divided by 370212.\nAnswer: 179\/92553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -35 - 21. Let y be 2 + -1 + (-8)\/x. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**16\/p*p*p\/(p*p\/((p**11\/p)\/p)) assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 8*p. Suppose -t - 5*b - 13 = 0, 0*t - 2*t - 3*b - 19 = 0. Let a be l(t). Factor 0*h**3 + 2\/7*h + 4\/7*h**4 - 4\/7*h**2 + a - 2\/7*h**5.\nAnswer: -2*h*(h - 1)**3*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.614956kg in micrograms?\nAnswer: 9614956000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*r**4 - 45*r**4 + 78*r**4 + 0 + 0 - r**4 + (-2 + 0 + 0)*(r**4 + 2*r**4 - 2*r**4).\nAnswer: 46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245\/3*p + 2200\/3 + 5\/6*p**2.\nAnswer: 5*(p + 10)*(p + 88)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 7*s**2 + 8*s - 13. Calculate n(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41a + 7?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6560, -13094, -19630, -26168, -32708, -39250, -45794?\n\"Answer: -z**2 - 6531*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 28 = 0. Suppose 4*q = l + 2. Let o(c) = -q*c**2 - c**2 + 3*c**2. Let k(z) = 2*z**2. Determine k(o(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {n: 1, p: 6, e: 3, d: 1, o: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22437 + 22514. Solve -6*o = -65 + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -138, 1, -5 in descending order.\nAnswer: 4, 1, -2, -5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -15240617?\nAnswer: 15240617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -4*5*(sqrt(80) + -1 + sqrt(80)))**2*5*-5 + 0)*-1.\nAnswer: -168000*sqrt(5) + 3211025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -0.45\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z**2 - z + 2. Let h be w(1). Suppose k - h = -5*o, -o + 2*k = o - 2. Solve -o*l = -0*l, 3 = -3*d + 5*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119660 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5465003 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.03 + -0.03. Let i = 2\/467 + -1405\/934. What is the second smallest value in i, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-160))\/(1\/(-6))*4\/2. Let o(m) = m**2 - 3*m. Let a(y) = 2*y**2 - 2*y - 1. Give i*a(q) + 2*o(q).\nAnswer: -4*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/111979 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 135*g**4 + 553*g**2\/2 + 318*g - 1. Differentiate o(v) with respect to v.\nAnswer: 3240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2 + (-425)\/(-90) + (-6)\/27. Solve -m*f = -4*a - 6, a + f = -0*f - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 28. Let f = c + 15.93. Let q = 0.88 - -0.12. Is q <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2181380 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = y + 33, 0 = -g + 2*y + 6. Calculate the highest common divisor of g and 7116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c. Let j(w) be the second derivative of w**4\/12 - 14*w. Determine i(j(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a = -2. Let k(z) = -2*z**2 - 2. Let r = 0 + 3. Let l(n) = 0*n**2 - 3*n**3 + 2*n**3 + 3 + r*n**2. What is a*l(y) + 3*k(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*b**3*i**3 - 172*b**2*i + 2*b**2 - 2*b*i**3 wrt b.\nAnswer: 1068*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 2\/5 (d) 4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -4.99\nAnswer: 0.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4 and (-3 - -15)*(-13)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(108)*1 - sqrt(108)) + 1)*-1)**2 + -5 + ((-2*sqrt(108) + -1 + sqrt(108) + sqrt(108))**2 - (-5 + (sqrt(108) - (-1*sqrt(108) - sqrt(108))))).\nAnswer: -102*sqrt(3) + 5294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2702 = -10*k - 2772 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 6*m + 8. Let f be o(5). Suppose 0*z - 2*y - 10 = 4*z, -f*z - 5*y = 11. What is the units digit of (-1)\/z*24*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126389 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -22. Let p(f) = -8*f**3 - f**2 + 4*f - 2. Let i be p(c). Let l = 22 + i. What is the smallest common multiple of 9 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:39 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 - 3*n - 8. Let w(f) = -220*f + 668. Let i be w(3). Let p(d) = 14*d**3 + 8*d + 23. Calculate i*t(m) + 3*p(m).\nAnswer: 2*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/5 + 422744*j\/5 + 169096 = 0.\nAnswer: -211370, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8814 and 6942?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32521 (base 6) in base 15?\nAnswer: 150d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {s: 4, p: 7, t: 2, q: 1, k: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (489\/2)\/((-282)\/(-3196)) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 506, 757, 1010, 1265?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248772137 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3055336 - 0?\nAnswer: 3055336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3696 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -729, -1593, -2803, -4359?\nAnswer: -6261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31276 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 12*v**2 + 5. Let b be x(12). Let a be 6*(-2)\/(6 - 2). Put a, b, 3 in descending order.\nAnswer: b, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 14*m**2 + 5*m + 40. Let y be v(-7). Solve -7*b + 5*b = 4*w + 12, 0 = -y*b - w + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-15))\/(-16)*(9204\/(-208) + 6\/(-8))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068599410?\nAnswer: 2, 3, 5, 71, 160073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 + 2. Let x be z(6). Let j = -1032 - -1034. Suppose 0 = x*b - 5*m - 196, 404 = 6*b - j*b - 4*m. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42847 + 101847. What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - l**5 + 0*l**5 - 5*l**4 + (-2 + 2 - 3*l)*(l**4 - l**3 + l**3) + 0*l**5 - l**5 - l**5 + 4*l**4 + l**5 - 4*l**4.\nAnswer: -5*l**5 - 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7075764*b**2 + 1034500?\nAnswer: -14151528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 11*n + 3*n + 5*n - 10*n + 27*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 8 = 5*n. Suppose -5*r - n - 31 = -3*d, -3*d + 9 = 3*r. Let l = d - 4. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1130*w + 5951. Give s(4).\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*z + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 8*l**3 + 8*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/47 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**16*m))*m\/((m*m**(-2\/5))\/m)*((m*(m*m**4)\/m)\/m*m)**(2\/39))**(-2\/39) assuming m is positive.\nAnswer: m**(-7276\/7605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = u + 5*l, -3*l + 317 = -3*u + 359 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2345 = -300*b + 545 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 303, 225, 145, 63, -21?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -384 - 10*v**3 + 160*v**2 - 2*v**3 - 115*v - 381*v + 32*v = 0.\nAnswer: -2\/3, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*z**2 - 2 - z**3 + z**4 + 3 as j + o*z**4 + g*z**2 + s*z**3 + w*z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kvpcpzzzz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 155.657.\nAnswer: 174.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1612343 - 1612343 + 20*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 6. Let k be a(5). Suppose -201 = 10*l - 501. Let m be 8\/(-36) - l\/(-81)*33. Solve 0*u = k*u + 2*i - 16, 5*i = 3*u - m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 481\/(-39) - 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30108)\/8 + 1)*28\/35. What is t rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1934 and 2792696.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1237, -1252, -1281, -1330, -1405, -1512, -1657?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 67 = 13. Suppose 3*w + w - 12 = 0. Calculate the least common multiple of u\/27*(0 + -3) and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867759.\nAnswer: 3, 289253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 525167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -497.2024 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 88 = 34. Solve -4*m + 5*v = z + 3, 2*m - 27 = -5*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -156a936b?\nAnswer: 156a9369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, 1, 22, 0.\nAnswer: -2\/3, 0, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2)*o*(o**6*o)\/o*o*o\/o**(-8)*o*o**(1\/7) assuming o is positive.\nAnswer: o**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/37)*z**(-7\/6) assuming z is positive.\nAnswer: z**(-271\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702510 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 4. Let l be t(5). Let x(j) be the first derivative of -j**2\/2 - 2*j - 304. Calculate x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 634 = 1228. Let o be 88\/154*s\/4. Solve 11*f - o*f - 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = -0. Solve -u**5 - u**3 - 2*u**4 + 2*u - 4*u**4 + 2*u**2 + u**w + 3*u**4 = 0 for u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 41*p - 424. What is r(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2\/321 in decreasing order.\nAnswer: 5, 2\/321, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 389194994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let g = 2 - 0. Let n(p) = -2*p**2 + p**2 + 0*p**g. Determine n(v(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**3\/3 + 72200*w**2\/3 - 144380*w\/3 = 0?\nAnswer: 0, 2, 14438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h. Suppose 5*j = 5*o - 85, 8*j = 3*j - 10. Let n(k) = 69*k - 39. Let f be n(o). Let v(z) = 996 - z - f. Determine v(x(w)).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22056 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 324055 - 106002 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1664372384411 + 1664372385220.000000377. Let p = z - 809. Round p to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 1*sqrt(2736)*2 - (-5 + sqrt(2736) + 0).\nAnswer: 5 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128705 by -5.\nAnswer: 25741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 122, 212, 304, 398?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80137\/4 - -20034. What is the biggest value in -0.5, f, 0.01, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113203 (base 4) in base 6?\nAnswer: -143511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2612419 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -22690\nAnswer: 90760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-7)*(-1757)\/(-753)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245476064?\nAnswer: 2, 499, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -163\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7824?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -707*d**3 + 6*d**2 - 10*d + 1458. Let l(g) = -g**3 - 3*g**2 + 5*g. Let s(r) = 2*l(r) + u(r). Differentiate s(z) wrt z.\nAnswer: -2127*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6560*l + 78693. Give a(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323562812*g**4*y - g**2 + 7*g*y - 5999800*g wrt g?\nAnswer: -7765507488*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.5, 1053322 in ascending order.\nAnswer: -0.5, 22, 1053322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -0.5, -1\/4, -39.3, -3, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -12*l + 8*l. Let h be (-4 + 0 + 5)*3. Solve -u - 5*r + 2 = 0, -3*r + l = -h*u + 2*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14707 + -10138. What is the second derivative of l*m**5 - 2245*m**5 - 2215*m**5 + 7*m wrt m?\nAnswer: 2180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 296*w - 5046. What is n(16)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 83 + 51 = 0. Suppose -3*a - 16 = 9*v - 7*v, -b*a + v - 36 = 0. Let s(f) = -f**3 - 9*f**2 - 9*f - 3. What is s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/12 - 5\/12. Let u = -613.323 + 610.323. What is the closest to c in -1\/2, 0.04, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -4 (b) 3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 362428562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*l - 4*l - 5*l**2 + l + 4*l wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8036*q**4 + 51904*q wrt q?\nAnswer: 96432*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*y - 3*d - 42, 3*y = -4*d + 52. Solve -y*h + 17 = -47 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 146, 145, 144, 143, 142?\n\"Answer: -j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4\/5))\/i**13)\/(i*i**0)**(-3\/17) assuming i is positive.\nAnswer: i**(-1073\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -1278 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j + 230. Let o = j - 97. Solve 2*y + 5*p - o = -7, -1 = 5*y + 3*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40456 - 40452. Solve z - 126*t + 121*t + 24 = 0, -n*z + 19 = 3*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**4\/5 - 74*b**3\/5 + 188*b**2\/5 - 96*b\/5 = 0. What is b?\nAnswer: -6, 0, 8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 40*r**3 - 120*r**2 + 160*r - 80 = 0. Calculate r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 5070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -5*v + 3*z, -z - 4 = v. Let w = 66.5 + -66. Sort v, 0.2, w in descending order.\nAnswer: w, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 - 77*g - 470. Give p(-6).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/10 + (-2)\/(-5). Suppose d*m + 8 = 89. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 8. Let i be s(0). Let w(k) be the third derivative of k**4\/12 - 2*k**3\/3 - 2*k**2. List the prime factors of w(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 268. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3939 is divided by 572.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24322160 and -81\/2?\nAnswer: 24322160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 13 - -1) + (-3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10515252 (base 7) in base 9?\nAnswer: -1638713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 + 381 + 86*m**2 - 186 + 179*m**2 to u*m + z*m**2 + c and give z.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 212274715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 - 119. Let r = -1.2 - -0.2. Put r, k, -0.5 in decreasing order.\nAnswer: k, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**0\/p*p*p**(2\/17)*p*p)\/(p**(-5)\/((p\/(p\/p**(-2\/9)))\/p)))\/(((p*p\/p**(2\/3)*p)\/p)**(-3)*(p**(-1))**(-1)) assuming p is positive.\nAnswer: p**(1667\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.6. Let c be (-33)\/44 + 9\/4 + -1. What is the nearest to c in 2, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1372*w - 1068790. What is s(779)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10822939*v**2 + 6073*v - 886 wrt v?\nAnswer: -21645878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73217039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 - -10002210?\nAnswer: 10011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*j + 5*j - 4*c, 5*c - 5 = -2*j. Solve -4*f = -j*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276952 > 276953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73475, -147842, -222209, -296576, -370943?\nAnswer: -445310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28509 is divided by 4054.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 10. Let r(p) = p**3 - 5*p**2 - 4*p - 7. Calculate the remainder when r(6) is divided by s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6855 divided by -1371.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17770 + -1688178\/95. What is the common denominator of y and -13\/50?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/((-100)\/(-30)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 8643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2. Suppose 2*w + 6 = -5*d, 4*w + 3*d + 0 - 2 = 0. Let s(a) = 195 - 195 - w*a. Calculate u(s(h)).\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r = 47*r - 1. Let x = r - -76. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01530009 rounded to 4 dps?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = f - 15, -4*u = 7*f - 9*f + 34. Suppose s = 3*k + 17, -15 + 0 = 5*k. What is the remainder when f is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -6*k**3 + 19*k**2 + 21*k - 4 = 0.\nAnswer: -1, 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-48) + (-1216)\/3612. Let x = 231 - 231. What is the third biggest value in x, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(1300) + (sqrt(1300)*1*-6 + sqrt(1300) - sqrt(1300))))\/(-1*(sqrt(4) - sqrt(36)) - (sqrt(12)\/sqrt(3)*6 - sqrt(4))).\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -274, -268, -260, -250, -238?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 1. Let u(r) = -r + 1. Let x(g) be the second derivative of -2*g + 5*g**2 + 1\/3*g**3 + 0. Let a(w) = -5*u(w) + x(w). Calculate -a(j) + 5*f(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32998, -32987, -32972, -32953, -32930, -32903?\nAnswer: -32872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13927191.\nAnswer: 3, 4642397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 73*d - 459. What is j(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 92.1\nAnswer: -46.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w**3 + 1\/60*w**5 + 0*w + 0 + 0*w**4 - w**2. Let y(i) be the first derivative of i**3\/3 - 18. What is r(y(k))?\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -2484.\nAnswer: -13\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:59 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 4 = 214 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -a - 4*n - 8, -a + 67 = 2*n. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 35. What is the nearest to 0.1 in 1, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y + 1. Suppose -5*q = -2*q - 15. Let d(h) be the first derivative of -h**3 - 7*h**2\/2 - 2*h - 3. Let b(i) = q*r(i) + 3*d(i). Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7494 + 7493. Which is bigger: t or -2\/7737?\nAnswer: -2\/7737","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9615 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 0, 5*s - 114 = -5*m + s. What is the greatest common factor of 154 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 191854696?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 - (0 - (-42)\/(-10)). Suppose 3*t - 134 = b*h, -2*h = -7*h - t - 177. What is the tens digit of h*((-8)\/6 + (-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027843 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:28 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/16)\/k**(-13)*(k\/(k*k**24*k))**1)**(-20) assuming k is positive.\nAnswer: k**(965\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Suppose 1 = -g + 2*u, -5*u - 11 = -2*g - 15. Let v be 1\/(-4) + (-49)\/28 + 0. Let t(z) = 2*z - 4. Determine g*y(n) + v*t(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x + 4. Suppose 2*r + 14 - 2 = 0. Let u be (-9)\/r*(-16)\/6. Let o be y(u). What is the nearest to o in 0, 1\/7, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622929 is divided by 3007?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584)*-1)\/(sqrt(40)\/(sqrt(10)\/sqrt(2))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**3 - s**3 - s**3 + s**3 - 2*s + 2*s + (2*s**3 + 1 - 1)*(-2 + 2 - 1) + 7*s**3 + 34*s**3 + 32*s**3.\nAnswer: 79*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -0.4?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 22\/205 (b) 1 (c) 0.1 (d) -1\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6*w + 5. Let d(i) = 11*i - 4. Let z be d(-2). Let r = 30 + z. Suppose c + c + 29 = 5*x, 0 = -r*c + 2*x - 34. Calculate m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 38143c9?\nAnswer: 38143cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 157, 309, 459, 607, 753?\n\"Answer: -g**2 + 155*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 296416.\nAnswer: 296416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -870?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 1, s: 2, w: 1}. Give prob of picking 1 g and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4 - 3*v**2\/2 - 3*v - 12. Let o be n(-1). Suppose 5*a - o*y = 1012, 3*a - 620 = -2*y - 2*y. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74836*h**3*q**3 - 3434*h**3 - 9*h*q**2 wrt q?\nAnswer: -449016*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9067269 is divided by 152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49.1432 times 184\nAnswer: 9042.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:18 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023 + 0?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 62 + 412 = 0. Is r greater than or equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 0, 0*v - u = -5*v - 711. Let s = v + 213. Let l(c) = -57*c**2 + s*c**2 - 74*c**2. Let m(o) = -o**2. Calculate m(l(p)).\nAnswer: -3721*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Let l be (v\/2)\/(4\/8). Let a be 2 - (32\/(-18))\/l. Put -2\/9, -5, a in decreasing order.\nAnswer: a, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u - j + 11, 0 = -4*u + 4*j + 12. Suppose -8*f = -u*f - 28. What is the greatest common divisor of f and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*m**2 - 56*m**2 - 42*m**2 + (-1 + 5 - 1)*(2*m**2 + m**2 - 5*m**2) in the form w + d*m + n*m**2 and give n.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 8. Let p(d) = 3*d**2 + 9*d + 6. Let z(x) = -2*x**2 - 5*x - 3. Let u(h) = 5*p(h) + 9*z(h). Let m(a) = 1. What is k*u(w) - 3*m(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(8)*2 - sqrt(8)) - sqrt(392)*1)\/(-6*sqrt(20)\/sqrt(5)*5))**2 + -2.\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 0*b - 2*b + (0 - 3 + 1)*(b + 0*b + b) - 250*b - b - 662*b.\nAnswer: -918*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*a = -3 + 6, 5*u + 5*a - 30 = 0. Solve b = 3*k + 5 - 8, 0 = -5*k - b - u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.07 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -788738.2 and -570.\nAnswer: -789308.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -a - 50 - 49, z = 4*a + 16. Let i be (-2)\/4 - (-3 + (-90)\/z). What is the greatest common divisor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 76 - 38 = 0. Let y = o - -67. Let u = 44 - y. Calculate the remainder when 43 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*b + 33, -12*b - 70 = -5*u - 14*b. Suppose -169*q = -172*q - u. Let f(n) = -n**3 - 3*n**2 + 6*n + 1. What is f(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 46\/42)*-1 + (-1450)\/(-2436)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 2879*k**5\/60 + 1051*k**4\/12 + 759*k**2 - 2*k. What is the second derivative of n(m) wrt m?\nAnswer: 5758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2845\nAnswer: -2\/2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-356)\/16)\/((-2)\/136) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*k - 1069 = 0, -7*v + 9*v - 4*k - 1034 = 0. Calculate the highest common divisor of 124 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + 276\/(-27). Let c(j) = -j**2 - 7*j + 33. Let b be c(g). Suppose -864 = -3*m - b*i, 715 = -5*m - i + 2151. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -2. Let i = 0.498 + -0.698. What is the second biggest value in u, 4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 11. What is d(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 104894*c**2 = 0 for c.\nAnswer: 0, 52447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 3*d + 6. Let s be k(5). Suppose -f + 29 - 37 = 0. Calculate the remainder when 11 is divided by (f\/5)\/(s\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273140 and 8700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.937504 + 0.062616. Let y = f + -22. What is y rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 30122212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+915227.63434\nAnswer: 915227.03434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**3\/4 - 23*r**2\/4 + 3*r.\nAnswer: r*(r - 1)*(11*r - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 154, 8, 2, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/55 (b) 2805 (c) 1\/19 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 2*k**2 + 54*k - 113. Calculate the remainder when v(3) is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4359, 0.3, -3, -0.4, 0.03, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403310 divided by -5.\nAnswer: 80662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 8*s**2 - 24*s - 331. Calculate u(12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615 (base 10) to base 6.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236344*p**4 - 68357*p - 3?\nAnswer: 2836128*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28\/9 + 176\/45. Are 2\/45 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 353 + -355. Sort -0.1, -1, 4, s.\nAnswer: s, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 14*a**2 + 9*a - 8. What are the prime factors of q(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/68715 or 1?\nAnswer: 2\/68715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4250547 divided by 53\nAnswer: -80199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6158*m = -12648*m + 32450 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/(-138)*5\/((-15)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 69*d**3 + 802*d**2 + 1632*d - 7040.\nAnswer: (d - 2)*(d + 8)**2*(d + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 10. Let o(u) = -9*u**2 - 5*u**2 + 24*u**a - 9*u**2. Let x(q) = q**2 - q**2 + 4*q**2. Give o(x(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -921 + 924. Let y(s) be the third derivative of 0 + 0*s - b*s**2 + 7\/60*s**5 + 0*s**3 + 0*s**4. Let q(c) = 2*c. Determine y(q(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 5453?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 16. Suppose -5*k + 36 = -4*g, 2*g = -b*k + 7*g + 27. Let w be (2 - 0) + (9 - k). Solve 3*y = 4*z - y - 4, -w*y + 1 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + 3*o**2)*(-20*o + 4*o - 16*o + (2*o + 2*o - 5*o)*(0 + 4 - 2) + o + 4*o - 4*o + (-2 + 2 + 2*o)*(2 - 2 + 2)).\nAnswer: -87*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513 - 0.1?\nAnswer: 7512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313326\/5 - 62925. Let y = 4781\/20 + n. Find the common denominator of -73\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13671942 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 20 - (-141 - -139).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 46 = s - 8*z, 3*s - 4*z - 149 = 0. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216148415 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175233425.\nAnswer: 3, 5, 15669779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.6, -430, 0.03, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 28*o + 48. Let g = 11 + o. Let m be (-285)\/323 + (g - -2). Which is the closest to 1\/5? (a) 1\/7 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63184, 126387, 189590, 252793, 315996, 379199?\nAnswer: 442402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from kbkkbbkd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -300*2.9\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 5*d**2 + 7*d. Let x(t) = 2*t**2 + 17*t + 5. Let j(r) = -6*r**2 - 50*r - 14. Let a(n) = -6*j(n) - 17*x(n). Let y be a(-5). Give p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 + 3*d - 9. What is the remainder when 285 is divided by j(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l + 17. Suppose 2*s - 5 - 5 = 0. Suppose -s*t + t + 48 = 0. Let n be z(t). Solve -y = y - n*g - 26, -17 = y + 5*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((1\/6)\/(11\/33)). Let u be (6 + -10)*z\/4. Let q(m) = -u*m - 1 - 13*m + 27*m. Give q(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 5\/6 (c) 3\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = -2, -14 = 4*j + 2*o. Suppose 406*l - 209*l - 196 = 148*l. Put 6, j, l, 5 in descending order.\nAnswer: 6, 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000533 rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let r = 1 - g. Which is the closest to r? (a) -3 (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*c + 8 - 3, -4*j = 5*c + 1. Is (-4)\/j*-57*51\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613679943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -1699 - 2186. Let j = -812 - y. Suppose 0 = 2*m + m - j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/6)\/(-5)*0. Suppose 0 = -s*y - 4*y + 108. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 806489?\nAnswer: 806477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqnn. Give prob of sequence nnq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n + 3. Let c be u(3). Let z = 31 + c. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -1 + -3 - (-12 + 31 + -8 + -3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 67448\/80*2 - (-4)\/(-20). Suppose -12*l - d = -8790. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtgbggb. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 - -165. Let b(s) = -7*s - 172. What is the units digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 15 - 30 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 - -5. Let a = -0.8 + w. Put 0.02, a, -2\/9 in decreasing order.\nAnswer: 0.02, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772132*c - 2772137*c = 2*s + 10, 5*c = -5*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18836904 divided by -991416.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1995)\/(-475)*(-10)\/(-6). Put 5, d, -5, 8 in descending order.\nAnswer: 8, d, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -93520194 and -93520194 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 65, 115, 165?\n\"Answer: 50*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0.67, -0.5 in decreasing order.\nAnswer: 0.67, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*q - 4*q. Suppose q*s - 4*f - 27 = 3, 3*f = -2*s + 2. Suppose -70 = 2*b - s*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16313, 31915, 47519, 63125, 78733?\nAnswer: 94343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + -5.4. What is the second smallest value in -4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 579, 0, 3, -2, -12 in descending order.\nAnswer: 579, 3, 0, -2, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - 11.25. Let d = 11.00042 + y. Round d to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2805 and 63360.\nAnswer: 1077120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*x + 29 = 0, 3*x - 1 = -4. Is 2047\/5 - w\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -2*k - 5*h, 0 = -3*k - 0*k - 3*h + 213. Calculate the remainder when 934 is divided by k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 27. Let z be d(-6). What is the third biggest value in 2, z, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710741491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 0.3, 32, -1, 2 in decreasing order.\nAnswer: 32, 2, 0.3, 0.22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-16)*(-4)\/8*175\/350*16?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10560*a**5 + 9112*a wrt a.\nAnswer: -211200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - (50 + -63).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, i: 3}. What is prob of sequence iui?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6. Is a\/(3\/9) + 208 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 less than -0.21162964?\nAnswer: 208.78837036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let q(x) = -3116831*x**2. What is r(q(w))?\nAnswer: -19429270965122*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 587034862 a multiple of 3235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 4}. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6)*(-12 + 1470\/686)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5180963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12489171 is divided by 4163054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n + 6*n - 8*n**2 + 8*n - 2 in the form t*n**2 + u + h*n and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 819, 200 in decreasing order.\nAnswer: 819, 200, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*g)*(4 - 6 - 4) + (0*g + 0*g - 2*g)*(-1 - 1 + 1) in the form j + y*g and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 84\/19?\nAnswer: 84\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/2*16\/10*-19 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0 + 5*w + 1\/24*w**4 + w**2 + 0*w**3. Let c(s) be the first derivative of x(s). Let v(t) = -3*t. Give v(c(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + sqrt(300)*-3*6 + -3 - (-1 + 5*(-1 + sqrt(300))))*3)**2.\nAnswer: -11880*sqrt(3) + 1306881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 65*c - 826. Let u(y) = -42*y + 551. What is 7*i(r) + 11*u(r)?\nAnswer: -7*r + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 19 + 0 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-4 + -2) - 2 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11219 - 11199. Calculate the greatest common factor of q and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:52 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = 5*i - 4*b - 0*b, -b = -i + 74. Calculate the remainder when i is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/273)\/(57\/266)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 225*v**2 - 12882*v.\nAnswer: 3*v*(v - 38)*(v + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 3*w)*(-169655*w - 169782*w + 338972*w).\nAnswer: 465*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -5, 0.17, 0.5 in increasing order.\nAnswer: -5, -1\/9, 0.17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/126*(-2)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*v + 303*v**3 - 649*v**3 + 280*v**3 + v**2 as c*v + k*v**3 + z*v**2 + r and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144 - 98) + (-7 + 45 - 8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2. Let n(h) = -h**2 - 10*h + 12. Let g be n(-11). Let o be z(g). Solve 0*w - 5*w = -o*q + 37, -3*q = 4*w + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -48 - (10 + 5)) + 37 + -4\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 8*g**2 + 11*g - 3. Is s(9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -127. Let z(b) = -9 + 38 + 2 - 3*b + 10. Let h be z(-17). Which is greater: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1}. Give prob of sequence lr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*f - 98*y + 100*y, 3*f - y = -20. Let j(g) = 2*g + 19. Give j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481294611 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4, 5*s + i + 2965 = 2*s. Let o = 443 + s. Let v be (-3)\/18 - o\/36. Calculate the highest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3045385.\nAnswer: -5, 2, 3045385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 - 412 = -5*c, 5 = 5*i. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/3))\/j*j)**(-2\/51)\/(j**5*(j*j*j\/j**(-4)*j)\/j)*(j**(-8)*j**(1\/3))**11 assuming j is positive.\nAnswer: j**(-14747\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/120 - n**5\/60 - n**4\/24 - 8*n**3\/3 - 1547*n**2. Suppose 0 = -4*a + 8. Suppose 7*z - a*z = 0. Determine q(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*d - 95*d**2 + 126*d**3 - 54*d**3 - 77*d**3 = 0. What is d?\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {f: 1, m: 1, j: 4, p: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 442.0135971 to the nearest integer.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -22, -53, -98, -157, -230?\n\"Answer: -7*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -709*g**2 + 205*g + 1?\nAnswer: -1418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -38083 greater than 14557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302310411 (base 5) in base 9?\nAnswer: 2248214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000310294 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 + 26 = 0. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 1\/26602, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 276133580 divided by -27572\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0895 less than -0.4?\nAnswer: -0.3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-8 - -7) - 13) + (-41 - -131)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009439 to 4 decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Let x be i + -2 - (-66)\/(-1). Let s = -34 - x. What is the remainder when 63 is divided by s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q + 4*q - 4*q. Let t(z) be the first derivative of z**3\/3 - 151. What is t(i(s))?\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 47 - 20)*(6*z + 5*z - 5*z).\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 600 - 27601\/46. Which is the third smallest value? (a) -1 (b) w (c) 2 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 2856?\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*w - 948 - 287 = 1605 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 493\/9. Which is the nearest to u? (a) 1\/4 (b) -3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edf when three letters picked without replacement from {s: 2, d: 3, f: 4, e: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fc889 - -2b?\nAnswer: -3fc85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5751520 (base 8) to base 11.\nAnswer: 977137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 128 = -7*m. What is the third derivative of 22*p**3 + 3*p - 3*p - 23*p**3 - 4*p**2 + 19*p**3 + 2*p**m - 13 wrt p?\nAnswer: 48*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/53 in -3\/5, -2\/49, -333, 4?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-56))\/(-3 - 468\/(-42)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/521 + -1098\/80755. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110*1\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13572401 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04816 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121020002211 (base 3) in base 2?\nAnswer: 1001101111110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -1, -3, 25, 11, 168 in ascending order.\nAnswer: -10, -3, -1, 5, 11, 25, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 3, c: 1, p: 1, q: 1}. What is prob of sequence eoe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 504983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 274*c**2\/11 - 11872*c\/11 + 156800\/11.\nAnswer: -2*(c - 56)**2*(c - 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2*t, -7 + 4 = -5*u + 4*t. Let j(q) = 3*q**2 - 6*q + 5. What is the smallest common multiple of 12 and j(u)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13968.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420 - 630. Let k = -67 - d. Is k < 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -19. Suppose -5*v - c + 10 = -3*c, -2*v - c + h = 0. Let q = v + 27. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -758\/165 + 52\/11. Let a be (-5)\/6 - 2706\/(-1476). What is the closest to -0.2 in a, g, 0.2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-4) - 5\/20. Let y(o) = -4*o - 4. Let j be y(-4). Suppose -5*m + j = s + 2, t*m + 3*s - 4 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrkraoryrarrak. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:54 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 2, v: 1, l: 1, w: 2, z: 1}. Give prob of picking 1 b, 1 v, and 1 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 440203 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36421*-5.\nAnswer: 182105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.67 - 0.87. Suppose 2*l - 22 = -0. Suppose -1 + l = 5*r. Which is the nearest to r? (a) 4 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 - 2*x**2 + 11*x**3 - 2*x + 3*x - 3*x + 0 + x**2 - 5 as k*x + m*x**4 + n + w*x**3 + l*x**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000309080123 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 1\/40*i**5 + 1\/3*i**3 + 0*i + 0 + 1\/4*i**4 + 3*i**2. Let m(u) be the first derivative of a(u). Determine m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(384) - sqrt(384)) + sqrt(24))\/(sqrt(200) + sqrt(200)*-2)*2.\nAnswer: 14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-26) + 219240\/(-13572)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562749 divided by -6.\nAnswer: 187583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23.046. Let f = x - 0.196. Put 0.1, f, 0.4, -2\/11 in increasing order.\nAnswer: -2\/11, f, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017894 is divided by 338053?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*h + 181. Let v = h + -7. Let s = 90 + v. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2970 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 1 = 7*s + 3*y, 5*y + 5 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.1 (c) -10 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/8 + 3*p**4\/4 - 5*p**3\/4 - 2*p**2 + 33*p\/8 - 7\/4.\nAnswer: (p - 1)**3*(p + 2)*(p + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218.8 + 218.799990673. Round g to seven decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(sqrt(208)*-1*6 + 1*sqrt(208) + -2)**2.\nAnswer: 240*sqrt(13) + 15612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:24 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2 + 0*w + 5*w - 2 - 5*w**3 + 3*w**3 + 3*w**3. Let q be v(5). List the prime factors of q\/4 - 33\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2597475 is divided by 173148?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clppcpbclc. Give prob of sequence pc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnn when three letters picked without replacement from vvvvwwvvcnncvwvcvvv?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282*q**2 - 1342*q - 60 = 0. What is q?\nAnswer: -1, -30\/641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {n: 2, m: 1, w: 11, v: 1}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13671, 52 in ascending order.\nAnswer: 4, 52, 13671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*x = 3*u + 2, -4*x - 14 = u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 41 = -174 + 54 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1503*b**3 + 554*b**3 - 1819*b**3 - 46*b**2 - 1 + 48*b**2.\nAnswer: -2768*b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + -50. Let u = q - -96.92. Let h = 0.08 + u. Put -2\/9, h, 0.3 in decreasing order.\nAnswer: h, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/126 + -1 + (-87)\/(-27). Let j(v) be the third derivative of 0 + 2*v**d + 1\/8*v**4 + 1\/2*v**3 + 0*v. Find the first derivative of j(f) wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -13*q**6\/40 - q**5\/20 - q**4\/24 + q**3\/6 - 128*q**2. What are the prime factors of v(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 10221*z**2 + 3*z + 10221 = 0 for z.\nAnswer: -3407, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-32) + 318\/(-8). Let o = 184 - p. Calculate the highest common divisor of 128 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 1, -2350 in decreasing order.\nAnswer: 4, 1, -2, -3, -2350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 11*s + 32. Calculate v(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 5*j - 3. Let f be q(5). Let n = f + 5. Suppose 6*d + 22000 = n*d. What is d rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17122525 != 119857683\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37998.33822 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**3 + 4*r**3 + 1 - 7*r + r**2 + 6*r. Let q be s(0). Suppose 3*i = -2*i + 15. Which is the third smallest value? (a) 4 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88119100 divided by 10\nAnswer: -8811910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 5*n**4 - 4*n**4)*(-1 + 1 - 3*n) - n**3 + n**3 + n**5 + 4*n - 2*n**5 - 4*n.\nAnswer: 26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 185279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320 (base 13) in base 12?\nAnswer: 67ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 100*j = -101*j + 66213, 0 = 3*v + 4*j - 99317. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 3. Let b(j) = 1 + 2*j - 2*j - 2*j. List the prime factors of b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.2 + -50. Let v = -53\/180 - -2\/45. Sort -2\/21, w, v in decreasing order.\nAnswer: w, -2\/21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 13*a**7\/21 + 29*a**3\/6 + 24*a. What is the second derivative of w(b) wrt b?\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140924467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + v**3 + 0*v**3 + (-3 + 5 - 4)*(35 - 8 + 11)*(2*v - 2*v - 2*v**3).\nAnswer: 150*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1*(-2)\/8). Suppose -24 - 40 = -q*o. Solve -o = 4*y - 0*y, 0 = u - y - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042.394 meters in kilometers?\nAnswer: 1.042394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 + 675*s**3 + 2*s**2 - 27967 with respect to s.\nAnswer: -8*s**3 + 2025*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2468*i**2 + 287*i**2 + 1367*i**2 + 606*i**2 in the form k + z*i**2 + x*i and give z.\nAnswer: 4728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(-4*t - 47*t - 52*t - 22*t).\nAnswer: -125*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from hcchcccccvccccccc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 645217861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 11*o**2 - 8*o + 26. Suppose -23*i = -40 + 270. Calculate f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54037?\nAnswer: 54037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 + -158. Solve -3*s = 3*z + 12, 0 = u*z - s - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 6103?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -723, 3, -5, 1800, -4 in increasing order.\nAnswer: -723, -5, -4, -3, 3, 1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -36470.95 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + b = -15, 204*b - 205*b - 3 = 0. Solve 0 = -q + 4, 5 = y*o + o - 5*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -335, 3, 23384 in decreasing order.\nAnswer: 23384, 5, 3, -3, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -788, 0, 8 in descending order.\nAnswer: 8, 0, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*i + 135*i + 21100 = 90*i - 14*i for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:00 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2161260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-2 - (-6 - (9 + -9))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 6 - (-1)\/(-1). Suppose -3*i - 6 = -5*i. Solve -3*l + i*q - 2 - 1 = n, 3*q = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 821*v = -817*v + 11, 16 = -2*k - 5*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-26)*n\/((n\/(n*n**(-2\/31)*n))\/n))\/(n*n**(8\/13)*n*n**(1\/7)*n) assuming n is positive.\nAnswer: n**(-75667\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/875 - (-958)\/(-59875)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.5, 3, 0.7, -0.02, -3\/4 in decreasing order.\nAnswer: 3, 0.7, -0.02, -0.5, -3\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 4*s + 6. Let t(l) = -10*l**2 - 11*l + 19. Let m(p) = 7*h(p) - 2*t(p). Let a be m(-6). Solve -q = 4*x + 3, q - 3*q - a*x + 2 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**3 + 32*x**2 - 118*x + 436. Give k(8).\nAnswer: -3068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66981?\nAnswer: 3, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713162212?\nAnswer: 2, 3, 19, 25057729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220510 + 875297\/4. Let k = u + 1697. Find the common denominator of 83\/62 and k.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:14 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 + 4*b + 4. Let v be s(4). Suppose v*w - 5 = 3. Solve -14*a**5 - 22*a**4 - 8\/7*a**w + 0*a - 64\/7*a**3 + 0 = 0 for a.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.5, 0.04822?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.65988651 rounded to 3 decimal places?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*l**2 - 14840*l - 1980 = 0. Calculate l.\nAnswer: -2\/15, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 + 2*o**2 - 3*o - 3. Calculate w(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/56 - (-36)\/14. Suppose -3*s = -4*b, -s - 1 = r*b - 14. Solve -5*g = -2*g - b*t, -g = t + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217137.2 - -54369765\nAnswer: 54586902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/72 and 77\/97782.\nAnswer: 1173384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let p(n) = -2*n - 7. Let k(z) = -15*m(z) + 3*p(z). Find the first derivative of k(u) wrt u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258467 is divided by 1356?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9314651 - -57726651. What is p rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3440594 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55437 (base 9) to base 7\nAnswer: -212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*j = 25, 15321*k - 15320*k + 2*j - 7*j = -47 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-818)\/6)\/((70\/(-21))\/(-10)). Which is greater: a or -412?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 58. Let g = x + 254\/7. Sort g, 2, 0.4, -1\/11 in decreasing order.\nAnswer: 2, 0.4, g, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-95)\/(-10)*65 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1768568135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 294c (base 15) in base 13?\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*q + 440 = 1013 + 429 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 18. Let c be h(-7). What is the second derivative of -5*s**3 + c*s**2 - 4*s**2 + 0*s**3 - 5*s wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**3 - 2*l. Let f(p) = p**3. Suppose -9*t - 78 = -24. Let a = 12 - 11. What is a*x(k) + t*f(k)?\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/251 - -170\/6777. Let n(p) be the second derivative of -1\/45*p**6 + l*p**4 + 1\/9*p**2 + 1\/189*p**7 + 0 + 2*p - 1\/9*p**3 + 1\/45*p**5. Factor n(c).\nAnswer: 2*(c - 1)**4*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13045 + 22429. What are the prime factors of k?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 5. Let w(f) = f + 4. Let z be w(q). Put 2, z, 1 in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7255, 14509, 21765, 29023, 36283, 43545?\nAnswer: 50809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/((-1)\/3). Let r be (-12)\/2*(-6)\/9. Suppose z - r = -z. Put 0, x, z in descending order.\nAnswer: z, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -6, 13, 40, 75, 118, 169?\n\"Answer: 4*m**2 - m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15373599 divided by 3637?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(-p - 2*p + p) + 5 - 5 - 3*p**2 + 87 - 87 + 29*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Suppose -4*s - 17 = -s - b, 2*s + 2*b = -14. Let y = 8 - s. Let o(h) = 7*h + h - y*h. Calculate o(d(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113329466279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 50*u - 30. Let j be d(9). Suppose -p - 6*p = -j. Is p bigger than 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18937*d**2 + 75747*d**2 - 18927*d**2 - 18939*d**2 - 18931*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:47 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -361.6735 rounded to 1 dp?\nAnswer: -361.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 2. Let i be y(-4). What is the remainder when 72\/28*(0 + i) is divided by (-82)\/(-6) + 2\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151.26 - -150. Round t to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d**3 + 0)*(2*d - 2*d - 2*d - 1)*(-195 - 163 + 90).\nAnswer: 536*d**4 + 268*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5 = -i, 3*i = -9766*x + 9763*x - 9 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4 + 11376*h**3 + 10795818*h**2 + 21557520*h + 10773075 = 0.\nAnswer: -1895, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103900?\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 111 + 19 = 0. Let l(n) = n - 3. Let r(w) = w - 2. Calculate m*l(d) - 6*r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - -1.8. What is the closest to -1\/2 in 0.1, 4, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = o + 5, -2*l + 1 - 3 = 2*o. Suppose -p + o*k + 4 = 11, 5 = -5*p + 5*k. Factor h**2 - 2*h - 3 + 2 + p.\nAnswer: (h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -35. What is the nearest to -0.1 in n, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6403562.\nAnswer: 2, 11, 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5837 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019439103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1)\/3 + -13 + (-780)\/(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*z + 25 = -0*z, -3*t + 4*z = 15. Let r(s) = s**3 - 13*s**2 + 13*s - 12. Let n be r(12). Put n, -3, t in decreasing order.\nAnswer: n, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 7, z: 1}. Give prob of picking 4 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 573644681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 28544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let h be n + ((-6)\/3 - -9294). Suppose -3*o = -4*l - h, 5*l = o - 2*o + 3110. Round o to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h)**(-27)*((h*h*h**1)\/h)\/(h*h\/((h*h**(-3\/2))\/h))*(((h*h**1)\/h)**2)**(-47) assuming h is positive.\nAnswer: h**(-281\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1\/9*y**3 + y - 1\/50*y**5 + 21 + 1\/15*y**2 + 7\/90*y**4. Let d(w) be the first derivative of k(w). Factor d(l).\nAnswer: -2*(l - 1)**2*(3*l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 14579.9 kilograms?\nAnswer: 14579900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 389 + 4?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5330, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, -5330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.058 and 0.15.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 12*q + 15. Let n be g(-11). Suppose -1264 = -n*a + 4*w, -2*a - 85 = -w - 722. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 15435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -551 - -558. Let s(g) be the third derivative of 0*g + 0 - 19\/24*g**4 - 10\/3*g**3 - o*g**2. What is the derivative of s(y) wrt y?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19750 + -151?\nAnswer: -198a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119576822.\nAnswer: 2, 37, 1061, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109\/(-1635)*(-3 - (-36)\/(-8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(33\/(-1056)*8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 2.7. Let w = 38.36 + -38. Let z = w + -0.56. What is the closest to 1\/4 in o, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14305777 + -0.15?\nAnswer: -14305777.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 9. Let n(z) = z + 11. Let o be n(-9). Let c = -10 + o. Let d be l(c). Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19917733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*x + 5, 0*q - 5*q + 4*x = -91. Calculate the greatest common factor of q and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*s = -3*s + 30, 3*j + s = 14. Let u(v) be the first derivative of 13 + 2\/9*v**2 + 2\/27*v**j + 2\/9*v. Factor u(p).\nAnswer: 2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 727 - 1153. Let d = 4688\/11 + r. What is the third biggest value in 4\/9, -1\/4, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33437 (base 9) in base 14?\nAnswer: -815a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 times -65\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -689730 - -0.116\nAnswer: -689729.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8249426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 136, 296, 492, 736, 1040?\n\"Answer: 2*p**3 + 6*p**2 + 128*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-21)*90\/3480?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 - 4*y + 1. Suppose 1 = -h - 3*o - 2, -4*h + 3*o - 12 = 0. Determine g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {e: 1, f: 1, d: 1, r: 1, i: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * 1.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (1 + (sqrt(700) - (sqrt(700)*2 - sqrt(700))))) + 1 + 4)**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35767961557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7387\/6 - 1230. Let x(w) be the second derivative of 1\/2*w**4 + w**2 + d*w**3 + 0 + 13*w. Suppose x(t) = 0. Calculate t.\nAnswer: -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147456 - 1\/6*s**3 - 4608*s - 48*s**2.\nAnswer: -(s + 96)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v + 571. Let x be n(0). Let g = -305 + x. Suppose 5*z - 329 = g. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688272 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2 - -1) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 7}. Give prob of picking 4 f.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 3*o - 531. Let u be y(-17). Sort 2\/3, 27, -1, u in descending order.\nAnswer: 27, 2\/3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**5\/5 + 33*w**4\/4 + 81. Factor u(r).\nAnswer: -3*r**3*(r - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 4, -4, 11245 in increasing order.\nAnswer: -4, 4, 72, 11245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155920155 is divided by 77960069.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 5410*p + 97052. Give z(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-76)\/(-57))\/(1\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1770023 weeks to seconds.\nAnswer: 107050.99104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*-2*sqrt(1300))**2 - sqrt(1300) - (-5*-1*sqrt(91) - sqrt(91))\/sqrt(7)).\nAnswer: -84*sqrt(13) + 280800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 28*t**2 + 32*t + 53. Let v be g(-12). Suppose 65*i = 16*i + v. Solve i*r + 21 - 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 8. Let f(m) = -46 + 25 + 20. What is -6*f(a) + t(a)?\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -12. Let g be 1\/((-1)\/x - 0). Calculate the highest common divisor of g and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6492.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*m + 4295*h**4*m - 2138*h*m - 949 wrt h?\nAnswer: 40*h**3*m + 51540*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*d - 182 = -70, 5*w - 4*d = 136. Calculate the least common multiple of w and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, m: 4, q: 1, b: 11}. What is prob of sequence mma?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:51 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 5*k - 2. Let d be 0 - 1\/(((-28)\/8)\/(-7)). Let c be (-3 - d)\/(2 - (-46)\/(-22)). Let p = 8 - c. What is z(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12379344815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 k when four letters picked without replacement from kkkiikkk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8499044+-3\nAnswer: -8499047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*t = 20, -6*g + 4*g - 2*t + 8 = 0. Let a(s) = 7*s + 24. Let h be a(g). What is the greatest common factor of 48 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*x + 15. Let r be 618\/8 - 4\/x. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(128) + 0 + 0)**2 + (sqrt(128) + (sqrt(128) - (3 + -1 + sqrt(128))))*-5.\nAnswer: -40*sqrt(2) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 182*c**3 + 18*c**2 - 20*c - 4. Let o(q) = -546*q**3 - 48*q**2 + 55*q + 11. Give 11*h(i) + 4*o(i).\nAnswer: -182*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/868)\/(33\/616).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12850, 6, 0, 4 in decreasing order.\nAnswer: 12850, 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**(-2\/35))*i)\/i)\/(i\/(i\/(i*i**(-2)*i))*i*i))**32\/(i\/((i\/(i*i**2\/i))\/i)*i*(i*i**(1\/2)\/i)\/i*i**(-6)*i**5) assuming i is positive.\nAnswer: i**(-2543\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxqxqxxxxqzx. What is prob of picking 2 x and 1 z?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/49)\/((-10)\/(-105)))\/(6\/(-22)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 3, -8, 7, 1406\/13, 1 in decreasing order.\nAnswer: 1406\/13, 7, 3, 1, -4\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.22379 - 0.22879. Let n = z - -0.005. Let f = 69.2 - n. What is the second smallest value in -0.01, f, 2, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0072 and 1?\nAnswer: 0.9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5544720*k**3 - 817875.\nAnswer: 16634160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 392*m**2 + 772*m + 384.\nAnswer: 4*(m + 1)**2*(m + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*p. Let k(c) = c**2 - 3*c - 2. Let l be k(p). Let b = l - -6. What is the least common multiple of 6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -167. Let r = 90.0165 - m. What is r rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46372*w + 46166*w + 55 - 92537*w.\nAnswer: w + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11340 and 4860?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 122*k + 114*k + 120*k - 354*k + 6. Determine i(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3 - -1)*1. Suppose 2*o - 19 = 3*y, -4*o = 4*y - 2*y - 78. Let z = -12 + o. Solve -b*i - i + 15 = -z*j, -5*j = 5*i + 35 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 151*l + 725. Let m be w(45). Solve -3*f + 3*n + 8 + 10 = 0, -5*f = m*n - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, c: 1, z: 1, m: 2, a: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m + 1. Let a be z(-1). Let n = -5 - a. Let y(s) = -s**3 + 4*s**2 - s + 2. Calculate y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273547461.\nAnswer: 3, 11, 149, 55633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(14)\/sqrt(2) + 0))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.33. Let d = 0.2 + h. Let f be ((-560)\/(-2016))\/(40\/(-36)). Which is the biggest value? (a) -0.6 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -213653795?\nAnswer: 213653796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -682, 1, -3, -49, -5 in ascending order.\nAnswer: -682, -49, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:30 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 4. Let r be g(-4). Let w(b) = 5399*b - 5396*b + 2 + 3*b**2 - 4*b**2. Calculate w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72565520462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1539) - sqrt(19)) + 2)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -187*o**2 + 4*o + 5. Let x be -9*(-1)\/6*-4. Let i(c) = 374*c**2 - 9*c - 11. Let k(s) = x*i(s) - 13*u(s). Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/90 and 46\/7071?\nAnswer: 212130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501897 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-389004)\/1260)\/(-421))\/((-2)\/(-10))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0 + 1\/3*y**3 + 7*y**2 + 16\/3*y**4 + 0*y. Let f be p(-4). Round f to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 25*f**2 + 630*f + 155. Calculate r(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -106262, -5\/7, -23?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110100101 + 110010001010100?\nAnswer: 101010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1 (c) -127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40945, 40892, 40839, 40786, 40733?\nAnswer: 40680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189 + -190. Put s, 4, 0.2, 0.8 in ascending order.\nAnswer: s, 0.2, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 225*d**6\/2 - 5112*d**5 + 120129*d**4\/2 + 10792*d**3 + 1083*d**2\/2 + 6080. Solve v(z) = 0.\nAnswer: -1\/15, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 233 + (324 - 564) - (-21 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687 by 229.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h - 3. Let u be p(-5). Find the first derivative of 3*w**3 - 3 + w**2 - w**u wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3417 - 3418. Let w = 0.03 - 0.11. Let n = w + -2.92. Do t and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -17264, 0.4 in increasing order.\nAnswer: -17264, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-231)\/60*1*-1 and 41\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l - 676 - 573 = -331 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 2*l - 3. Let f(o) = o**2 - 13*o - 25. Let r be f(15). Determine m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4\/3 - 275*b**3 - 10640*b**2 - 419260*b\/3 - 512720 = 0?\nAnswer: -116, -26, -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**3 + 2*h + 0 + 1\/3*h**4 + 0*h**2. Let t(x) = 2 - 2*x - 2. Calculate f(t(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 79762 + 287966 = 61800. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*r + 15, 2*r = k + r. Let d(m) = m**3 - 6*m**2 + 4*m + 5. Let a be d(k). Let x be 2 - 1 - (a + 1). Which is greater: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 33 + 199 = 0. Calculate the greatest common factor of v and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/3920 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5 - 24.5. Let s = c - -19.00000036. Round s to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217\/8 > 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**3 - l**2 + 2 - l**2 - 10*l**3 + (l + 2 - 2)*(-999*l**2 - 126037*l + 126037*l).\nAnswer: -998*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148123\/2593 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 - 69 + 7*q**3 + 8*q**3 - 2*q**3 to g*q**2 + b*q + i + c*q**3 and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 23*n - 2*n**2 + 23*n)*(-5*n**2 - n**2 + 3*n**2) + n**2 - n**2 - 5*n**4 as o*n + m*n**4 + t + a*n**2 + p*n**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 11 - (-1 - -53). Let s = 154 + g. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -h + 28*z, 1755*z - 3 = -h + 1758*z for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 - x - 3. Let d(f) = f**2 + 1. Let q(r) = 5*d(r) + k(r). What is q(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*d + 4*q, q - 15 = 3*d + 5*q. Let x(a) = -a + a - 3*a + 3. Is 9 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48883 is divided by 1251?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.9 (b) -3 (c) -5 (d) -6.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*a - 317 + 308, 3 = -l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 - -844\nAnswer: 845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11582*h**2 + 115820*h + 20. Give k(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(3*sqrt(10)))\/sqrt(5) + (-5*sqrt(176) - (sqrt(1584) + -2))**2.\nAnswer: -383*sqrt(11)\/3 + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 4*d - 1. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 2. Let z(v) = -v + 1. Let f(k) = k - 32. Let d be f(-9). Let x = d + 37. What is x*z(o) - j(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 12. Suppose 10 = -2*z - 2. Let d be q(z). Suppose -11*v - 4*v + 1200 = d. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172593238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 740 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*r + 9 = u, 3*u - 13 = -2*r. Suppose -5*t = 2 - 12. Let q(f) = 4*f + 0*f - f**3 + 3*f**t - 2*f - 4. Give q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - n - 2. Calculate w(-5).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 31. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 0.05\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h - 41*h = -225*h + 38*h - 2490 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*t + 19*t - 62 + 39)*(0 + 0 - 2) to the form g*t + n and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/12 + 4*n**3\/3 - 2*n**2. Differentiate l(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12 + (0 - -4) + 23206*(-12 + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + 1. Suppose 0 = 4*n - q - 1057, 4*q + 615 = 2*n + k. Suppose -w + 5 - 3 = 0, 2*w + n = 4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Let l = 1.5 + -8. Let x = 6 + l. Which is the nearest to -1\/4? (a) -2\/3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 18 - 31 - 449*s.\nAnswer: -449*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -342 - 22*g + 17*g**4 + 22*g + 360*g**4 - 138 wrt g.\nAnswer: 1508*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 4*b**2 + 7. Let w(z) = -2*z**3 + 4*z**2 - 8. Let t(y) = 4*r(y) + 3*w(y). Let g(l) = 4*l**3 + 7*l**2 - 7. Determine -4*g(j) - 7*t(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7990521 is divided by 3995247?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -526*h + 393*h - 3584 + 259 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)\/f)\/f)**(-19)\/(f**6\/(f\/f**9)) assuming f is positive.\nAnswer: f**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28846554.\nAnswer: 2, 3, 11, 23, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948476641?\nAnswer: 19, 127, 487, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**8\/1512 + a**7\/945 + a**6\/540 - a**5\/270 - a**2 - 4*a. Let g(q) be the first derivative of f(q). Factor g(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 2 f when four letters picked without replacement from iiiiiciifffiiiiccii.\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z + 16 = -72*z. Let q be 0\/8 - z\/(-2) - -5. Solve 5 - q = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:46 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 171, 136, 115, 114, 139, 196, 291, 430?\n\"Answer: u**3 + u**2 - 45*u + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 124. Let k(h) = 6*h - 5 + 12 + 0*h**z + 4*h**3 + 0*h**3. Let j(m) = m**3 + m + 1. Let q be (-1 + 0\/(-1))\/(-1). What is q*k(c) - 6*j(c)?\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, 87.\nAnswer: 2, 31, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -4 (b) -8.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 103. What is z(-22)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/7 and 71\/4235.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 783*o**2 + 0*o.\nAnswer: -783*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 5*n. Let g be z(-5). Let j be 6\/1*1 + -2. Solve g = -2*l - 2*l - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 250*y**2 + 758*y - 504. Let b(w) = 4*w**3 - 1248*w**2 + 3788*w - 2520. Let u(d) = -5*b(d) + 24*x(d). Factor u(h).\nAnswer: 4*(h - 2)*(h - 1)*(h + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40120 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 + 173. Let l(x) = -6*x**3 - x**2 + 1. Let k be l(v). Solve -o + k = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 - j**2\/2 + 3*j. Determine r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = -0*n - 12*n. Let k = 47 + -24. What is the remainder when n is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94814.\nAnswer: 2, 47407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443612.02 - -443612. Suppose 2*l - 5*l = -3*r - 3, 0 = -4*l + r + 1. What is the nearest to 1\/4 in f, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4\/9, -1, -5, 3, -5\/83 in decreasing order.\nAnswer: 4, 3, 4\/9, -5\/83, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - n**2 - 6*n - 4. Calculate the remainder when i(-3) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c + 22. Let s be n(-1). Is s smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 109436668, 109436673, 109436680, 109436689, 109436700?\n\"Answer: h**2 + 2*h + 109436665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8133 or 65067\/8?\nAnswer: 8133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.19 - -23.36. Let u = 33 - j. Let n = -0.35 - u. What is the third smallest value in -1, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -3*o, 2*k - 3*k = -4. Let z = 14231\/9 - 28615\/18. What is the common denominator of 1\/o*(-116)\/3 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*i - 86*i + 11*i**3 + 20*i + 138*i.\nAnswer: 11*i**3 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/((-21)\/(-196))*-2. What is the highest common divisor of 378 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/42)\/((-24)\/56). Let d = 7\/3 - 46\/21. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75129 is divided by 25041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -717, -1434, -2151, -2868, -3585?\n\"Answer: -717*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012725823 rounded to five dps?\nAnswer: -0.01273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -24623.16229 to the nearest 10.\nAnswer: -24620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d*d*d\/d**(2\/15)*d*d*d*d*d)*d)\/d)\/d**(-8\/9) assuming d is positive.\nAnswer: d**(-179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26090966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6. Let x be 7 - -1 - (2 + j). Suppose 0 = -5*f + 5*l, -5*l = 4*f + x - 52. Solve f*v - 15 = 0, 0 = -4*o - 5*v - 0*v + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 13?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 247*l**2 + 975*l + 729.\nAnswer: (l + 1)*(l + 3)*(l + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001111288051 to 6 decimal places.\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 653261\/3 + -217751. Solve -8\/3*t + 8\/3*t**3 + r - 2*t**2 - 2\/3*t**4 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84108816 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1276, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 + 7083*m**2 - 1359*m + 729667. Give p(-1771).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/8*10\/(-100)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24273 + 554228?\nAnswer: 529955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.2. Let g = -89 - -88.05. Let z = 1.15 + g. What is the nearest to p in z, -5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 8 = 18*c. Suppose o - 349 = -3*r, 3*o + 0*o + 461 = c*r. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10222002010112202?\nAnswer: -10222002010112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 5*n - 4*m + 62, 3 = 5*n + 2*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-7)\/21*-5. Solve 7*k - 5*k - g = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 1, x: 1, d: 1, u: 1, w: 1}. Give prob of sequence ygw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 7. Let h(i) = 3*i**2. What is h(r(x))?\nAnswer: 3*x**2 + 42*x + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*r - 8 = 0, 5*r = -s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220011221122 (base 3) to base 8.\nAnswer: 7713463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 659, 981, 1559, 2393, 3483, 4829?\n\"Answer: 128*t**2 - 62*t + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2015, -4029, -6043?\nAnswer: -8057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(9 + -10) - 15. Suppose 145 = -v + 19. Let l be 3\/v*1*2. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*(sqrt(114)*2 - sqrt(114)) - sqrt(114))\/(sqrt(384)*1))**2.\nAnswer: 171\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0661 rounded to two decimal places?\nAnswer: 18.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12781794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/25 (b) 4 (c) -11.9 (d) 1\/37 (e) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 2. Let d be b(-2). Let z(x) = -d + 12 + 2*x**2. Let h(w) = 3*w. Determine h(z(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(220) - (sqrt(220) + 2*sqrt(220)))\/sqrt(5)*-6)\/((sqrt(2048) - sqrt(2048)*-2)\/(sqrt(512)*-1)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-32)*41548096\/(-17786)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {k: 4, j: 2, r: 2, t: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000000111001110 (base 2) to base 11.\nAnswer: -8a907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let w(h) = -3*h**2 - 5*h - 5. Let f(x) = 15*x + 24 + 9*x + 0 + 15*x**2. Suppose 2*r = -49 + 1. Let t(k) = r*w(k) - 5*f(k). What is g(t(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - ((1 - 1) + (28 - 29)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -215450003, -215450004, -215450005?\n\"Answer: -p - 215450002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 898, 2135, 3372, 4609?\n\"Answer: 1237*c - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -112*m**3 - 2*m**2 - 2*m - 1. Let d be k(-1). Suppose -d = 4*i - 531. What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/161 - 5\/23. Which is the nearest to -0.1? (a) -7\/6 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 8*n + 213 = 0, -3*l + 0*n - 2*n + 57 = -4*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00741 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0 (c) -999 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45414115 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {m: 1, y: 4, k: 1, i: 5}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let z(t) be the second derivative of -32*t**3\/3 - 6*t - 1. Calculate z(i(l)).\nAnswer: 192*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 209, 459, 755, 1097, 1485, 1919?\n\"Answer: 23*y**2 + 181*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 45*w**2 - 123*w**2 + 3.\nAnswer: -78*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -326*c - 324. Give i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*h - 2007 = 187*h + 114*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 11*d**6\/30 - 5*d**2 + 3*d + 10. Let a(n) be the first derivative of u(n). Differentiate a(v) with respect to v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 + 8 = 0. Solve 2*g = m + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289*d**3*p**3 - 1205*d**3*p**2 - d**2*p**4 - 29*p**3 - 29*p**2 wrt p.\nAnswer: -1734*d**3 - 24*d**2*p - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 15*z - 266. What is u(-26)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 8176*r**2 - 8141*r**2 + 2*r.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 5616 and 5611 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + 4*k + 5. Let u(w) = -w**2 - w + 5. Let q be u(0). Let g(x) = 2*x**3 - 2*x**2 - 10*x - 12. Determine q*g(r) + 12*d(r).\nAnswer: -2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from zbuuzzz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 534 - -38.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -31) + (-26 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -196. Let t = -90 + 132. Suppose -3*h - 3 = 0, -65 - t = -5*x - 3*h. Calculate the remainder when o is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v - v)*(-1 - 1 + 4) + (-5 - 3 + 1 + (1 + 3 - 3)*(1 + 0 + 0) + 2 + 2 - 3 + 5 - 4 + 0)*(-2 + 2*v + 2) in the form q + w*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18653\/4 + -2443491\/524. Calculate the common denominator of -4\/7 and g.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 119.\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.8321 litres in millilitres?\nAnswer: 991832.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(0 + sqrt(396) + -1) + 1*(-4 + -2*sqrt(704)))**2.\nAnswer: -128*sqrt(11) + 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138, 142, 146, 150?\n\"Answer: 4*p + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 44725*z**2. Let a(t) = t. What is q(a(p))?\nAnswer: 44725*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-45)*36\/76*(-55)\/(-198)*6\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b - 4. Let i be l(-3). Sort i, -4, 4 in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 104031\nAnswer: 1\/104031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than -156.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 4*n**2 + n + 2. Let y be x(2). Suppose 2 = -y*q + 10. Suppose -6 - q = 2*h. Which is the smallest value? (a) 1\/3 (b) h (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a. Let m(o) be the first derivative of -11*o**3\/3 - 4*o - 5442. Calculate h(m(y)).\nAnswer: -55*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497 divided by -27.\nAnswer: 497\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 103?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/(-570)*((-1)\/((-116)\/(-6)))\/(-1)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4709*s - 1615*s - 1620*s - 4606 = 1572*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1146 and 97012338?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 13*d**5\/20 - d**4\/12 - d**3\/6 - 1798*d. Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = 7*r. What is the tens digit of r + (9\/(-6))\/((-2)\/132)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*r + 4*l + 86, -3*r + 2*l + 196 = 0. Suppose -2*g = j + j - 70, 4*g - r = -2*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 57124*c + 571671. Determine f(-10).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988.1961 rounded to the nearest integer?\nAnswer: -2988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3013, 3015, 3017, 3019?\n\"Answer: 2*t + 3011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2009, -2017, -2029, -2045, -2065, -2089?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1677 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(2 - 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21764 = -0*k + 5*k - 4*d, 5 = -5*d. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (-6 + 10 + 1 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 18 = -h. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -3 - -1) + -2 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 + -175. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13 = 2*c, -c + 1 = -3*d - 0*c. Calculate the remainder when 19 is divided by 6 + -4 - (-9 + d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*r + 16, -6*r + 22 = -s - 11*r. Sort s, -1, -2 in ascending order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 69*g**3\/4 + 45*g**2\/2 - 21*g\/4 - 3 = 0. Calculate g.\nAnswer: -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 927\/70, -668, 0.5?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8845837 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20257211*d*n - 7639245*d with respect to n.\nAnswer: 20257211*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119911\/3017274 + 116\/3939. Calculate the common denominator of 15\/2 and d.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -242. Let 6*a**k - 91*a**3 + 135*a**3 - 10*a**4 = 0. What is a?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-6)*q)\/q))\/q*q**(-3\/8)*q**(-1)\/q**7)**(-43) assuming q is positive.\nAnswer: q**(817\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from qjqqjqqqqqqpqq?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*t = 28, -3 = -2*t + 1. Suppose -32 = -4*a - 3*i, 2*a + 3*i = 5*i + 16. What is the lowest common multiple of h and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 - 3*l**2 - 3*l + 1 + 21223*l**3 - 21189*l**3. Let w(s) = 851*s**3 - 74*s**2 - 74*s. Determine 74*g(f) - 3*w(f).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) -1 (c) 5\/19 (d) 5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - -4.2?\nAnswer: -69.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.5290244us?\nAnswer: 0.00000002548374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 593.31 - 590. Let d = -3.81 + j. Let p = 0.2 + -0.3. Which is the closest to p? (a) -2\/3 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/1 - (-521 - -494).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/16 + (-396)\/(-16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 12*a**2 - 12*a + 6. What is o(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -581, -2319, -5193, -9185, -14277, -20451, -27689?\nAnswer: -35973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3132 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2508*i - 24 = 2506*i + 4*s, 2*i - 2*s - 18 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 3. Let p be n(2). Solve t + 0*t - p = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -2 - 3 - -2. Let o = v - -1. Let g = o + 1. Solve u - 3 = g*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72366 is divided by 8982.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1 (c) -10.7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 1. Let d(v) = v**3 - 4*v**2 + 3*v - 9. Let n be d(4). Does 11 divide 1 - b - (n + -56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-19) + -14*(-1)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1836 + -786. Suppose -76 - 1998 = -4*s - 5*t, 4*t + g = 2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/2434 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1990*-30.7\nAnswer: 61093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 745*f**3 - 2270*f**2 - 1520*f = 0. Calculate f.\nAnswer: -2, -1, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -72?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.28, 37, 0.2, -0.112, 2\/5 in increasing order.\nAnswer: -0.112, 0.2, 2\/5, 4.28, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734688126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1 - 5\/(-3)). Are f and 4\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-16) + 165\/(-36))*6\/11. Which is the closest to 0? (a) -16 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -34. Suppose -z*f + 781 = -3*p, -6*p + 418 = 2*f - 2*p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177253 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 + 847884*j**3*u + 5*j**3 + 330*j**2*u + 2657*u + 8 wrt j.\nAnswer: -240*j**3 + 5087304*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12596618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bac15 (base 14) to base 7.\nAnswer: -11262625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1064 = 4*v, -2*j + 3*v + 1057 = 6*v. Let 414*f**2 + 250*f + 104 - 277*f**2 - 344 + 458*f**2 - j*f**3 - 75*f**4 = 0. What is f?\nAnswer: -8, -2\/3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24017181 at most as big as 24017178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2271*q - 2265*q - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.2354766?\nAnswer: -0.1177383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/9 - 122*g**4\/9 - 2396*g**3\/9 - 1484*g**2 + 3822*g - 2058.\nAnswer: -2*(g - 1)**2*(g + 21)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 34603*g**2 - 311518*g - 346120.\nAnswer: (g - 10)*(g + 1)*(g + 34612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-5))\/((-3)\/(-10)). Let i = -18 - c. What is the units digit of (-1)\/i*6*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 7820\/(-16))\/((-39)\/104). Calculate the highest common factor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7. Let p be 2 - d - (-14794)\/32. Let w = 459 - p. Find the common denominator of 69\/10 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 + 5*b + 21. Give n(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -55*i**2 + 29*i**2 + 30*i**2. Let a(p) = 8*p. Determine t(a(g)).\nAnswer: 256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide ((-32)\/(-20))\/(4*6\/106140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 22*i - 46. Calculate t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 2.5. Suppose -4*n + 2*h = -52 + 40, -n + 3*h + 3 = 0. Sort n, x, 5.\nAnswer: x, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 8. Let s(f) = -13*f + 13*f + u*f. Let z(m) = -3*m**2 + m**2 + 4*m**2. Determine z(s(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4, -0.5, -1\/4, 15 in decreasing order.\nAnswer: 15, -1\/4, -0.5, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70\/631 - -252119\/3155. Which is bigger: m or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86256\/59 + 1462. Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144, 227, 204, 21, -376, -1041, -2028?\n\"Answer: -9*i**3 + i**2 + 143*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3 + 165544*p**2 - 6862281965*p + 916575681350 = 0.\nAnswer: 134, 82705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 + -12 + (22 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70466 is divided by 232?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 6. Let c(i) = 73*i**2 - 2*i - 82*i**2 + j*i. Let g(k) = -10*k. Let r(t) = t. Let a(o) = 4*g(o) + 45*r(o). Calculate c(a(d)).\nAnswer: -225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65633.9913 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -24*k - 2. Let q be d(-4). Calculate the remainder when 34 is divided by q\/10 - 6\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4864, 19492, 43882, 78040, 121972, 175684?\nAnswer: 239182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211, -207, -201, -193, -183, -171, -157?\n\"Answer: j**2 + j - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 2*x + 1. Let d be (-4)\/2*3\/2. Let k(u) be the first derivative of -2*u**3\/3 + 3*u**2\/2 - 2*u + 1. Determine d*c(t) - 2*k(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*u + 0 + 3 + 8.\nAnswer: -268*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/132 and -151\/4030140.\nAnswer: 44331540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2003 + 4213 = 20*o + 2090. Let w(p) = 2*p**3 - 13*p**2 + 7*p + 5. Give w(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2504348 divided by 6?\nAnswer: -1252174\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 3*s)*(2*s + 2*s - 6*s) - 2*s**2 - 4*s**2 + 4*s**2 - s**2 + 4*s**2 - 4*s**2 - 4*s + 2*s + s - 3*s**2.\nAnswer: -8*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c90 - 5?\nAnswer: -c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58 and -2634.\nAnswer: 152772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 726 = 2706. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.018 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 608407291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 66 = -2*l. Suppose 5*m = -2*a - 10, 4*a + a - 2*m = l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 + 94 + 1677 = -47*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*q**2 - 67*q**2 - 76*q**2 + 393 in the form y*q + a*q**2 + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4, -5*x = -7*x + 3*c + 20080. Calculate the highest common factor of x and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + (115 - -14) + -136.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from {i: 9, v: 5, n: 2, b: 3}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359 or -1078\/3?\nAnswer: -1078\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*o - o + 1135, 2*o + 227 = g. What is the remainder when g is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116839499, -116839500, -116839501?\nAnswer: -116839502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 8 = 6*z, -z + 250 = 4*n. Suppose n = 23*p - 2*p. Solve -2*j + q + p*q = 30, 0 = 5*j - 5*q + 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22672\/(-48) + 2\/(-3). Let t = x + 2383\/5. Is -0.2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -98. Let k(j) = j**2 + j - 1. Let s(g) = 4*g**2 + 3*g - 3. Let c(p) = u*k(p) + s(p). Let r(z) = -7 + 6 + 1 + 12*z**2. Give c(r(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332482 and 178.\nAnswer: 59181796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 1\/6, -9, 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + (77 - -25) + -80?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 - 4. Let i be o(3). Let g = -11 + i. Is 1326\/10 - g\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/8 + 5391*l**2 + 86247*l\/8 + 21561\/4.\nAnswer: 3*(l + 1)**2*(l + 14374)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 10\/51 (b) -4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000243131 (base 5) in base 14?\nAnswer: -391199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -3, 0, 4, 1, 24192?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6808470 and -27\/2540?\nAnswer: 13616940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**2*g)\/g)\/g)**(-1\/10))**41*(g**(-2\/5)*g*g)**(-40)\/(g*g\/(g*g**(2\/5)\/g)*g)**(-1\/9) assuming g is positive.\nAnswer: g**(-6103\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 2, i: 10}. What is prob of picking 3 i?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564603 (base 13) in base 11?\nAnswer: 11719a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -2230*b + 2242*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 6*b + 70. What is the remainder when 28 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*j + 1, l = -4*l + 20. Is (555\/10)\/(j\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - -4. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14810000 to the nearest 100000.\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 - 7*x - 5. Let r = -170 + 188. Suppose 74*s - 71*s + r = 0. Let l(n) = n**2 - n - 1. What is s*l(a) + z(a)?\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 7*h + 10. Determine v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*z - 681*z = -2*n - 22, z = -3*n - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhlxnnlnnnlnxhnlhnnl. Give prob of picking 1 l and 1 x.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjuuwjuuuww. What is prob of sequence uuu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7\/559 (b) -2 (c) 106\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1666)\/(-63308))\/(((-2)\/(-12))\/1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -3*b - 5*g - 59, -4*b + 204 = 2*g. Suppose 0*u + 3*u = -3*s + 231, -5*s + 229 = 3*u. What is the greatest common factor of b and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**1\/(l**(-4\/3)*l)**(-6))**(-2\/29) assuming l is positive.\nAnswer: l**(8\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 273aa + -49?\nAnswer: 27361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*k = 264*k + 3*g + 37, 2*g = -k - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 5514*q**2\/7 + 5067366*q\/7 + 1552303118\/7.\nAnswer: 2*(q + 919)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*b + 74, 2*b - j - 16 = 8. Suppose 6*h = b + 4. Calculate the remainder when 4 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1743 divided by -21.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(0 - 4 + 3)*(2025 + 369 - 77)*(0*d + 0*d - d) in the form i*d + y and give i.\nAnswer: -4634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a millisecond in microseconds?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3502*g - 10499. What is d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*d + 203*d + 300*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 bigger than 1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhwowh. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 - 4*k**2)*(-1 + 0 + 0) - 2000*k + 2000*k + 4 - k**2 + (5*k**2 - k**2 - 2*k**2)*(1 + 2 - 5).\nAnswer: -3*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-10 + 12 + 15 - 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d - 83*d + 124*d + 1.\nAnswer: 61*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107.1 + 107. Which is the nearest to 0.1? (a) 0 (b) -0.9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464 by -8.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35664 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 - 3*v + 4. Let z be d(5). Let r be (-2)\/z*-2*-1. Let a = -1.6 - -1.1. What is the third smallest value in r, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k**3 + 1)*(3 - 2 - 2) + 271 - 271 - k**3 + 33*k.\nAnswer: k**3 + 33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {u: 3, h: 2, q: 1, i: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 2690 - 2618 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 429655 + 44345. Suppose -3*d - j = -t, -t + 0*t + d = -237000. What is t rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + 5 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s - 16*s + 34*s**4)*(6 + 10*s - 7 - 1)*(-3 - 1 + 2).\nAnswer: -680*s**5 + 136*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19779 and 0.1.\nAnswer: 19779.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f. Suppose f = -5*b + 3 + 2. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*4 + sqrt(40)\/(-1*sqrt(2)))\/((-2*sqrt(400) - (sqrt(80)\/sqrt(2))\/sqrt(10))*5).\nAnswer: -23*sqrt(5)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -3, 5, -11, 523, -4?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 14 - 1) + 119 + -68 + -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:31 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k**4 + 54821*k**3 - 851055*k - 1 wrt k.\nAnswer: 180*k**2 + 328926*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 33*u**3 - 1 + 9*u**3.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820102140268 - 820102140268 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 9*d**3\/8 + 249*d**2\/8 + 99*d\/2 + 39\/2 = 0.\nAnswer: -26, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2091595 years?\nAnswer: 0.02091595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2527, -0.4 in increasing order.\nAnswer: -2527, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/4, -12, -4981 in increasing order.\nAnswer: -4981, -12, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfs when three letters picked without replacement from ssiswssisiiifsiiivf.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (6 - 14) - (-1 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20*(18 - 6 - 906\/75)*(-1 + -1)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/7)\/6*-6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11000 and 129384.4.\nAnswer: 140384.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) + 2*sqrt(600)*3 + sqrt(600))\/(sqrt(10) + sqrt(10)*-3*-3))\/((sqrt(96)*1*-3 + sqrt(96))\/sqrt(8)*-5*2).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(612) + -6*(sqrt(612) + -3) + -5).\nAnswer: -468 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 1, f: 3, c: 4, l: 7}. Give prob of picking 2 m and 2 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = 18. Let d be (8 + -14)*(-46)\/x. Is 13 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/(108562\/(-927) - -117).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 6. Let b be p(-14). What is the tens digit of 566\/(-3)*(-12)\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 10. Let t = 859397.00006 + -859387. Let b = f - t. What is b rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -43 + 0*j - 1\/2*j**2. Let v(t) = 5*t. Determine v(n(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(9\/4)*r*r)**(-3\/16)\/((r*r\/r**12*r)\/r**(-6\/7)) assuming r is positive.\nAnswer: r**(3123\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26251*i**2 + 59551*i**2 - 22190*i**2.\nAnswer: 63612*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*50\/(-15). Suppose 16 = 5*b + 4*d - 70, v*b = 2*d + 62. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 3\/1 - -2. Let f(z) = 5*z - 4*z + 3*z - z**n + 5*z + 3. Let l be f(10). Which is greater: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2571 + 8722?\nAnswer: 11293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/25 - 3\/25. Which is the biggest value? (a) -3\/5 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1233 divide 614863098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 1\/2. Suppose 0*y + 1 = y - u, -5*y - 4*u - 40 = w. Let s = 1137 + -1136.98. What is the third biggest value in y, s, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 3. Let n(l) = -11*l + 3. Let x(t) = -n(t) + 2*p(t). Determine x(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.699 + -1782.499. Let x = k + 1775.16962. Let v = -0.37 + x. What is v rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - w = 2*g - 33, -g + 32 = 5*w. Suppose -g*o - 460 = -17*o. Suppose 0 = -43*d + o*d - 9. Solve -2*p - 21 + 5 = -d*a, -a + p = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 20 - 17 + 63 + 3*w as k*w + n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 33 = 5*a. Let z = -1 - -10. What is the remainder when a is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 - g - 1. Let b be m(-3). Suppose -b*s - 2*a = 2*s + 14, 0 = -s - a - 6. What is the units digit of 6*(16\/(-6))\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/704 and -65\/528?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (130 - 90)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x - 22 + 2314*x**2 - 20 + 69*x + 47.\nAnswer: 2314*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Suppose 5*o = c - 13, o + 2*o + 43 = i*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274446032 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 8*l - 12*l)*(187 - 72*l - 187)*(-l + 4*l - 2*l).\nAnswer: 504*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.6, 927.8, -0.048, -2?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = -55. What is the lowest common multiple of ((-198)\/x)\/(1\/(-5)) and 38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64721, 64541, 64235, 63803, 63245?\n\"Answer: -63*c**2 + 9*c + 64775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4) + 0)*320\/24. Let z be 7\/((-84)\/t) + (-6)\/4. What is the nearest to z in -2, 0.3, 11, -0.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 694, 768, 844, 922, 1002, 1084?\n\"Answer: f**2 + 71*f + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = 6*c, 0 = 5*h + 4*c + 17. Let t be (-675)\/(-81) + 1\/(-3). Let g(y) = 0*y - t*y**3 + 4*y**2 - 6*y**2 + 2*y - 3*y. Give g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-90)\/(-27)))\/((-21)\/(-196)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/2 (b) 23 (c) -14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6712 + -6712. Let j(m) be the first derivative of -1\/2*m**2 + 0*m**3 - 6*m - 1\/4*m**4 - 1. Determine j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let n(v) = -2*v - 4. Let m(g) = -g. Let b(z) = x*n(z) - m(z). Give b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.152*3\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070782 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2004)\/4676)\/(5 + (-1576)\/392).\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1465773 + -6706?\nAnswer: 1457065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4779 and 872197.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -2 + -6 - (-1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10665912831 rounded to 5 dps?\nAnswer: -0.10666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40111*k**3 - 80256*k**3 - k**2 + 40146*k**3 + k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*b**5*i*n - 2*b**2*i - b**2*n - 152*b*i*n - 2*b*i + 2*i*n wrt b?\nAnswer: 1680*b**3*i*n - 4*i - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:13 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000101 (base 2) in base 5?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*x**2 + 7\/4*x + 5\/4*x**3 + 1\/4*x**4 + 1\/2.\nAnswer: (x + 1)**3*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(3\/2))\/(-2). Suppose -9 = 3*a + 2*j, -3*a - 5*j - 18 = -0*j. Is a equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q - 101*q - 2079 = 38*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -c + 5*m, 1 = 3*m - 5. Let f = 100 - 104. What is the fourth biggest value in 4, c, -5, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -73. Let p(x) = -x - 1. Let l be p(3). Let s = l - -24. What is the least common multiple of j and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 14 = -17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h**2)*(-60*h - 154*h + 4*h)*(0 - 3 + 4).\nAnswer: -210*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -59500 divided by -1\nAnswer: 59500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1081012 - -23?\nAnswer: -1080989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 - 16460*v - 16464 = 0?\nAnswer: -1, 4116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 360?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/4 + 3*c**4\/2 - 33*c**3\/2 - 6*c**2 + 351*c\/4 - 135\/2 = 0. What is c?\nAnswer: -5, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3285546 and 67\/16346?\nAnswer: 3285546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -645074 (base 9) to base 15\nAnswer: -78cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 214.9707l?\nAnswer: 214970.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/3, 3\/16, -2626 in ascending order.\nAnswer: -2626, -1, 3\/16, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 9373*w - 9380*w = -53, -6 = -2*p + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccwc when four letters picked without replacement from ccccwwcc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*d**2 - 2577*d + 85821 wrt d.\nAnswer: -24*d - 2577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/5 + 4*z**3\/5 + 16*z**2\/5 - 16*z\/5 = 0. What is z?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-200))\/(213\/(-284)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*n + 79, -n = 2 - 1. Suppose -15*l + 18*l + 745 = -22*l + 1145. What is the least common multiple of o and l?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -641.599 and 0.01.\nAnswer: -641.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 35*q**3 + 180*q**2 + 1620*q + 4970. Let y(u) = -u**3 - u**2 - 4*u + 1. Let d(j) = w(j) + 30*y(j). Determine p, given that d(p) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2600076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 d when three letters picked without replacement from vvqvefyyvevdq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 13437502.\nAnswer: -53750008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + i - 51709*i**3 - 24 - 6*i + 51708*i**3 to r*i**3 + q*i**2 + j*i + a and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-30)*30 - 11) + 190\/15.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30914\/2262 + 1720\/(-105).\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2. Let i(z) = -10*z - 11. Let p be 1\/(-3)*(-38 - -5). Let x(c) = -2*c - 2. Let b(l) = p*x(l) - 2*i(l). What is b(g(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/41, 0.5, -1 in increasing order.\nAnswer: -1, 0.5, 26\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*g**2 - 38755 + 38755 + (1 - 1 + g)*(0*g - 5*g + 4*g) - g**2 + 1 - 1)*(-2*g**2 - 3*g**2 + 3*g**2).\nAnswer: 292*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmnmnnnnnnmm. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v + 30*v - 98283 - 237117 = 0. List the prime factors of v.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 525269719*o**3 - 116087878*o**2?\nAnswer: 3151618314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297 + -1329. Which is greater: -1036 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + 2*c**2 + 14*c - 25. What is i(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*l + 2*l - 38, -l = 3*g - 29. Let r = 4 - g. What is the common denominator of -57\/16 and (12\/(-40))\/(r\/(-77))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from {u: 3, h: 3, y: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 160, 387, 716, 1153, 1704, 2375?\nAnswer: 3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 56 (b) -128 (c) 0 (d) -2\/9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155530 divided by -5.\nAnswer: 31106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406 is divided by 440?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2815 + 2332. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 10, -4*c - 2*g = -5*g + 6. Let a = 6 + c. Let r(z) = z + 1. What is the remainder when r(a) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125770*z**5 + z**4 - 3*z - 62688 wrt z?\nAnswer: 2515400*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -178*d - 706. Determine j(-5).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28370361 to the power of 1\/2, to the nearest integer?\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 + -122302?\nAnswer: -122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8739 + 12263. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2. Let d(x) be the second derivative of -5*x + 0*x**2 + 1\/3*x**3 + 0. Determine d(b(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywlluygy. What is prob of sequence gy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63980*i**2 - 2*i - 9275?\nAnswer: 127960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 391*b**2 + 13*b + 1. Let p be y(-2). Calculate the greatest common divisor of p and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972*k + 36*k**2 + 1891*k - 919*k - 9*k**3.\nAnswer: -9*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + 42 + -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and (-564)\/(-57) + (-4)\/(-38)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (10 - (1 + -5)) - 10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 8*d**2 + 3*d + 4. Let c be a(-7). Let q(l) = -32 + c + 6*l. Let b(j) = 4*j. Give b(q(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 + g - 1. Let f be 0\/(-2) - (4 + -6). Let s be f\/(1 - -1) - 0. Calculate the remainder when y(s) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010546 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/8 + 1160\/(-690) and -49\/9?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/8 + 9*s**5\/20 + 3*s**4\/16 - 3*s**3\/4 - 3*s**2\/4 - 479. Find t, given that h(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160017300 divided by -8000865.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -12 - (0 - 1) - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyaayaayayya. Give prob of picking 2 y.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipuffkrp. What is prob of sequence kr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 1 + sqrt(320)*2 + 2)**2.\nAnswer: -5376 - 1024*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2142 and 1179199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-2 + c + 2 + (1 + 2 - 2)*(-3*c - c + c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302672929*n**3 + 2*n**2 - 6*n + 3065264 wrt n?\nAnswer: 1816037574*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -51. Let o = 21 + -11. Suppose -49 = -4*c - n, 0 = -o*c + 5*c + 4*n + 35. Solve 1 = 5*x - z - c, 2*x = d*z + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - 84. Suppose 5*a = 4*a + v. Suppose 32 = a*o - 46. Which is smaller: o or 14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 346\/173 + (-3)\/((-6)\/76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6930 + -6929.4. Which is the nearest to m? (a) -4 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 k when four letters picked without replacement from kpvfpffrffkpfffkk?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + -34. Let f = i + 108.9999592. What is f rounded to six dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*q**2*r - 49*d**2*q**2 + 7441*d**2*q*r + d**2*r + 31*d*q**2*r - 4*d*q*r - 2*q wrt q?\nAnswer: -8*d**2*r - 98*d**2 + 62*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7962115 is divided by 1990520.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464 + 482. Is (-3)\/(-6) + (-3)\/c*-753 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -1\/24*k**4 + 0*k**3 + 0 - 2*k**2 + 0*k. What are the prime factors of x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355916*c = -354795*c - 48203 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2479362 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 6*u**2 + 25*u**3 + 31 - 24*u**3 + 4*u. What is the units digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.3, -3\/17, -1\/4, -37, 2 in ascending order.\nAnswer: -37, -2\/5, -1\/4, -3\/17, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*h - 2*h**5 - 120*h + 0*h**5 - 25*h - 16*h**3 wrt h?\nAnswer: -40*h**3 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 s when four letters picked without replacement from gsboososedbbso.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 642 + -639. Which is the second biggest value? (a) r (b) -5 (c) -3\/8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -102, -31, 92, 279, 542?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2853300 and -89\/3804400?\nAnswer: 11413200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-972)\/(-10))\/(68\/510)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -6, -3\/5, -3, -7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1\/6 (b) -0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4980.0537 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/310726 and -113\/11322.\nAnswer: 2796534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.87256 rounded to one decimal place?\nAnswer: -144.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. Let o = z + -2. Let k(i) = i**2 + 4*i + 3. Let d be k(o). Solve -d*v + 10 = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1205 - 1187. Solve 4*r - 10 = 3*i, -2*r = 3*r - i - x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w**3 - 15*w**2 + 2*w - 2. Let i(h) = -16*h**3 - 15*h**2 + 3*h - 3. Let k(d) = -2*i(d) + 3*x(d). Find the third derivative of k(z) wrt z.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/11710010 and 89\/14.\nAnswer: 81970070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007, 1145, 1369, 1679, 2075?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(612) + -1 + sqrt(612) + sqrt(612) - sqrt(612)) + 2*sqrt(612) + 0 + 0 + sqrt(612) + 1 + sqrt(612))**2.\nAnswer: 360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37945 (base 10) to base 16\nAnswer: -9439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 17*g**6\/15 + 24*g**3 + 22*g**2 + 107. Let t(n) be the second derivative of o(n). Find the first derivative of t(v) wrt v.\nAnswer: 408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. What is the third biggest value in 0.3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22299, 22299, 22305, 22323, 22359, 22419, 22509, 22635?\nAnswer: 22803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 4. Let w = 10 - 6. Let c be y(w). Suppose c*g - 2*g - 38 = -4*v, 0 = -2*v - 5*g + 25. What is the remainder when 19 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 12*y - 13. Let i be h(13). Which is smaller: i or 5\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85222 - 10718 = -2665*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3957655 decades?\nAnswer: 3.957655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 816 - 814. Sort p, 5\/2, 11 in ascending order.\nAnswer: p, 5\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 22392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 4 - 56. Suppose -2*p + f*q = -25, 15 = -3*p + 5*p - 3*q. Let t = 9 + p. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 26 = 4*v. Suppose o + 4*o = v. Factor -20*n**2 - 16 - 11 + 17*n**o - 18*n.\nAnswer: -3*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, e: 1, i: 10}. What is prob of sequence aee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3367, -9791, -16215, -22639?\n\"Answer: -6424*v + 3057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46513318, 46513319, 46513320, 46513321, 46513322, 46513323?\n\"Answer: c + 46513317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397212\/16 - (144\/(-64) + 2)?\nAnswer: 2, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 7. Let c be s(9). Suppose -c*a - a = -45. Solve -4*d = d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -10 - (-9 + 11). Suppose -d = -3*q - 4*w, 0 = -4*w - w - 15. Suppose 5 - 16 = -b. Calculate the lowest common multiple of q and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*z**2)*(3*z + 2*z**2 - 3*z).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9670833 and 1421?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 8*o - 7. Let j = -34 - -39. Let g be c(j). Let l = -2433 + g. Round l to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 3, -2, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/12 - j**3\/2 + 6*j**2. Let k be z(-6). What are the prime factors of 55\/(-2)*12\/k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/5, -449, -271?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 696053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 7*a**2 + 8*a - 6. Let j(z) = 2*z + 5*z + 15 - 6*z. Let i be j(-9). Determine m(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40563 days in microseconds?\nAnswer: 35046432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 495\/1320 + (-30635)\/(-440).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 3. Suppose -5*p + 3 = -6*p, -2*c = 4*p + 4. Let w(z) = 3*z - 1. Calculate c*b(h) - 9*w(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 11\/3*p**3 - 15\/2*p**2 - 11*p - 2 + 1\/4*p**4. Let y be r(-12). Solve 5*i = -3*t, 3*t - y = -2*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 129*c + 1842. Determine l(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 + 7 = i, 4*n - 4*i + 16 = 0. Let v(r) = 18*r + 4. Let w(y) = -73*y - 16. Let u(z) = 9*v(z) + 2*w(z). Let o(g) = -5*g - 1. Give n*u(x) - 10*o(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.4 - -0.226636171.\nAnswer: -22.173363829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - f**2 - f - 1 + 2 + 2*f**2. Let s be r(1). Suppose 0 = s*p + 1 - 36. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3))**(3\/28)*z**(1\/7)*z*z*z**1 assuming z is positive.\nAnswer: z**(93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/29255670 and 151\/66.\nAnswer: 321812370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*l - 52*l - 45*l)*(3*l**2 - 218*l - 2*l**2 + 211*l) to j*l + o*l**2 + d*l**3 + u and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + s)*((3 + 1 - 5)*(-1 + 4 + 1) - 3 + 2 - 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*z + 6, -297*z + 301*z - 2 = -g. Solve -16 = 4*l - 37*m + 40*m, 0 = g*l - 3*m - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11908 divided by 3700\nAnswer: -2977\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llle when four letters picked without replacement from {e: 3, l: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 21 - 34 + 4*l. Let a be p(9). What is the third biggest value in a, -29\/4, 0?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14613120 by 1720.\nAnswer: -8496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**4 + 17963*u**2 + 6*u + 1406057 wrt u.\nAnswer: -8*u**3 + 35926*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/5 - 20456*z\/5 + 14807004\/5.\nAnswer: -4*(z - 643)*(z + 5757)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3. Let r(x) = x**2 - 9*x - 9. Let j be r(10). Calculate the remainder when n(j) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, 2\/17, 11\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5845\/(-668)*-6*(-16)\/(-14)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172970 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:34 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.958 - -17.323. Which is bigger: v or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8*u. Suppose 0 = 3*y + 3*g - 4 - 5, u = -5*g. Put -1, -5, y in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 at least -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-17 - 23 + 13)*(0 + 0 + 2*h).\nAnswer: -162*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 6. Let l(s) = 3*s - 27. Let h be l(6). What is the tens digit of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 6)\/(-4 + (-76)\/(-20)). Calculate the lowest common multiple of 9 and -25*(8 + -26)*(-1)\/r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -669 and -669 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 149.3 times -34772\nAnswer: -5191459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from lxxewlwnxleeexxwlew?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/4 + 533*f\/4 + 267\/2 = 0.\nAnswer: -1, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23988 = -2*f - 2*f. Let a = -10695 - -19151. Let x = a - f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4758 and 915174.\nAnswer: 55825614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from lpskipipkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vvcvvcvvcvvvvcccvv.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 256 - 283. Let q be 1*6\/(-39)*w\/54. Let f(g) = g + 7. Let t be f(-6). Do t and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.99 + -27.3. Which is the closest to -2? (a) i (b) -1.4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 48. Let x be 3\/(-1)*40\/t. Let y = -15\/2 - x. What is the closest to -4 in -0.3, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -997 + 1003. Let p(m) be the second derivative of 4\/3*m**4 + 5*m - 2\/3*m**3 + 0 - 5\/6*m**c + 0*m**2 - 1\/4*m**5. Factor p(u).\nAnswer: -u*(u + 1)*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 - 263.0436. Let g = k + 0.0436. What is the nearest to 0.2 in 1\/9, -0.2, g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 12*o**2 - 14*o + 13. Let l be i(13). What is the smallest value in -5, l, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7577454 + 1?\nAnswer: -7577453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(130\/4) - 14\/91. Suppose -s + j*x + 5*x + 88 = 0, -s + 2*x + 76 = 0. What is the common denominator of -39\/14 and (188\/s + -5)\/4?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.754*0.2\nAnswer: 2.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 479927790 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23007 + -22995. Let w(u) be the second derivative of 0*u**3 + 9\/10*u**5 - y*u - 2*u**2 + 0*u**4 + 0. What is the first derivative of w(m) wrt m?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)*r)\/r)**18\/((r*r**4*r)\/(r*r**(5\/4))) assuming r is positive.\nAnswer: r**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 55.\nAnswer: -16\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let r(a) be the second derivative of -1459*a**3\/2 - 2564*a. Determine s(r(k)).\nAnswer: -19158129*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(3\/2)*l**(-3\/14)*l\/(l**(-5)\/l)*(l**6*l)\/l assuming l is positive.\nAnswer: l**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*(r\/r**8)\/r*r*r*r)\/r*r*r)\/r*r\/r**(2\/21))\/((r\/((r**13\/r)\/r)*r*r)\/r**(1\/2)))**(-9\/5) assuming r is positive.\nAnswer: r**(-807\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 7\/13 (b) 2\/53 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 88*w + 414. What is the tens digit of h(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5*f + f + (0 + 2 + 0)*(-10 - 10*f + 10) + (-4*f + 2*f + 3*f)*(-4 + 2 - 1))*(-6*f**2 + 2*f**2 - 12*f**2).\nAnswer: 400*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -576 - -598. Suppose p*z - 17457 = -z. List the prime factors of z.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8604434 (base 11) to base 13.\nAnswer: -31a3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -5, -1, -21889 in ascending order.\nAnswer: -21889, -24, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556720 divided by 29?\nAnswer: 53680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 2, s: 1, i: 1}. What is prob of sequence iksa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:23 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 365 - 182 - 183 + 112*p + 23*p**2 to q + n*p**2 + j*p and give j.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, 11 in ascending order.\nAnswer: -22, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -153*g**2 + 119*g + 1. What is x(-1)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4\/149 (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 30*x**2 - 125*x - 5. Let t be z(25). Let v(b) = -b**2 + 1 - 1 - 5*b. Calculate v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 5. Let a be j(-7). Let d be (a\/(-4))\/(-1)*2. Sort 4, d, -5 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1079 + 80*c - 30*c + 26 - 1134 + 14*c**2 + 184 wrt c.\nAnswer: 28*c + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 41 - w**2 + 11 + 0*w**2 + 59.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -25. Let s = -26 + r. Suppose 29 - 13 = s*k. Solve -24 = k*p - 0*f + f, 0 = -p - f - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9174415 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -91*u + 90*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o = 53*o - 113*o - 624. Solve -21*r = -8*r + o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43278 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11916 and 762624?\nAnswer: 762624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let m(b) = b**2 - 2*b. Let v(c) = 4*c**2 + 11*c. Let o(x) = -11*m(x) - 2*v(x). What is o(w(y))?\nAnswer: -171*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 6*a + 5. Let m = -16 - -21. Let s be l(m). Solve -2*r + 7*r + 4*i = -36, -r - i - 8 = s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24356260419932 and 0.1?\nAnswer: 24356260419932.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38991 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107162708 rounded to the nearest 1000000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 2. Suppose 3*s = -i + b*s + 1, i - 11 = s. Suppose 0 = -4*p - 2 - i. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13790610 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 10*p - 4. Let z be l(4). Suppose -22 = -z*t + 18. Calculate the lowest common multiple of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*q + 34, q - 18 = -0*s + 4*s. Suppose -6 = -m + 16. Calculate the remainder when ((-943)\/115)\/((-2)\/q) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 9*i + 2. Let s be u(-9). Let v be s\/9 - 25\/(-90). Find q such that 1\/2 - q**2 + 0*q**3 + 0*q + v*q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138208 = 13755*f - 12477*f + 36878 for f.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*d - 5, 0 = -4*l + 3*l + 3*d - 1. Let c be (-288)\/(-9) + -3 + l. What is the greatest common divisor of 140 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + o = -1, 3*t - o - 9 = 0. Suppose t*r - h - 6 = 0, -2*h - 8 + 0 = -4*r. Is 7\/4 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4392.222 minutes to nanoseconds.\nAnswer: 263533320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6*t - 105 = 0. Let o = -15 + t. Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.34446267 + -221.69675599. Let u = -152.352292 - p. Let j = u + -38. What is j rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.3 (b) -1\/3 (c) 0 (d) -127 (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41447.55 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517 divided by -3.\nAnswer: 517\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, l: 1, y: 4, v: 2}. What is prob of picking 1 i, 1 l, and 2 y?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + c - 5*c + 7*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 57694260 divided by -14423565\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -4 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + -2. Let w = i + 10.3. Which is the second biggest value? (a) -0.3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165672 and 301.\nAnswer: -49867272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564310 and 169293?\nAnswer: 1692930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b + 1257303 = 513339. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-4))\/(-5))\/((-8)\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 314*l**2 + 7*l - 968. Let q(v) = 314*v**2 + 6*v - 967. Let o(m) = -4*i(m) + 5*q(m). What is the first derivative of o(z) wrt z?\nAnswer: 628*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000201679 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1349.8 + -1350. Which is the second smallest value? (a) 1\/10 (b) 1\/4 (c) x (d) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j - 19. Let k be n(-5). Suppose 0 = -18*d + k*d - 1256. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u. Let t(i) = -i**2 + 4. Let l(m) = -22*m**2 + 11*m**2 - 5 + 12*m**2. Let r(q) = 4*l(q) + 5*t(q). Determine d(r(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j + 235*j - 57*j + 299*j + 6*j.\nAnswer: 440*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 2040?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyxlxyqxqyyxyyyx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210100120022 (base 4) in base 5?\nAnswer: 4413114031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5 + 3 + 2 - 11*m. Is r(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:16 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -106. Let j = z + -26. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -2\/915, -3\/2 in descending order.\nAnswer: -2\/915, -3\/2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 264327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601 (base 11) to base 4.\nAnswer: 23113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879434 is divided by 22548.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = -4*a + 12, -5*v = 2*a + 16. Suppose 4*u = 5*g + a*u - 159, -g + 4*u + 39 = 0. Suppose -g = -i + 6. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let v(r) = -r - 2. Let w be v(4). Let j = w - -24. Calculate the least common multiple of j and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a. Let i(l) be the third derivative of -l**4\/24 + 3*l**2 + 3*l. Calculate i(w(v)).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 207*o - 82. Let d be a(4). Let r = d + -732. Calculate the highest common factor of 119 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*p - 23, 60*w = 62*w + p + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-3*h - 5*h + 5*h)*(6 - 3*h - 6) - 4*h**2 + h**2 + 4*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/28)*p*p)\/p**(-14\/5))\/((p\/(p\/p**3)*p)\/p)**(-31) assuming p is positive.\nAnswer: p**(13687\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1401244*g**3*h - 318345*g**3 + 2*g**2 with respect to h.\nAnswer: 1401244*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 17\/3, 4.\nAnswer: 0.3, 4, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 11*u**2 - 16*u - 8. Suppose -4*g - 18 = -2. Let w be (-3 - (-9)\/15)\/(g\/(-20)). What is the units digit of n(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from {p: 6, y: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - 4*i - 6. Let p(h) = 7*h**2 - 9*h - 13. Let t be (0 - -5) + -1 + 2. Let q(o) = t*p(o) - 13*m(o). What is the second derivative of q(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294610 and 5610.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 21 = -77 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6 + 2\/(-4). Let u(d) = 2*d - 7. Let o be u(5). Suppose -o*w + 2 + 4 = -i, 0 = 3*w + 4*i - 6. Solve -8 = -w*p - y*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 123816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 22 = 8*b, -b - 1145 + 1147 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*m + 38, 5*m + 3*w - 78 = 13. Suppose 16*l + 3 = m*l. Solve l - 6 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114 and -3?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6059.83612 to the nearest 100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 - 2667 = -9*x. Calculate the lowest common multiple of x and 63.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 8280 (c) -3 (d) 2 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*d - 4*j - 32, 2*d - 7*j = 56 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(-9*f - 111*f + 7*f).\nAnswer: -339*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {t: 1, x: 1, q: 4, n: 11}.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3385.999997821 - 3386. Round l to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 - 27*d**2 + 15*d**3 + 52*d**2.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -16, 0, 20, 44, 72, 104?\n\"Answer: 2*k**2 + 6*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(12)\/sqrt(6)) + -2)**2*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 + 17*h + 4. Let n be l(6). Let d be 4\/((-3)\/(27\/6)*n). Solve 2*b = o, -2*o + d = -3*o - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) -0.5 (c) -2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n. Let z(d) = 2*d**2 + 160*d + 10321. Give r(z(m)).\nAnswer: -50*m**2 - 4000*m - 258025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/909 < -7744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2682208 and 134?\nAnswer: 179707936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:59 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 45 + 10 = -5*r, -3*y + 2*r = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6868 divided by 58\nAnswer: -3434\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0. Let v = -18.5 + 12. Let g = 7 + v. Which is the closest to f? (a) -5 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(2268) - sqrt(63))\/sqrt(7)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.654311 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let g(j) = -22*j - 3. Let r(s) be the third derivative of -133*s**4\/24 - 19*s**3\/6 + 29*s**2. Let k(y) = 38*g(y) - 6*r(y). Give k(h(n)).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 16 = -14*x. Solve 0 = -3*l + o + 2, x*o = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3359 - 3062. Let j(o) = 2*o - 7. Let t be j(7). Suppose -t*l = 4*l + h. Is -27 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334793558?\nAnswer: 2, 11, 521, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -2338, 5.\nAnswer: -2338, -0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-2 - sqrt(156))\/sqrt(3))\/(sqrt(44)\/sqrt(176))*1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + 4*o**2 + o + 18. Let m be b(0). Solve 3*h + 3*r - 4*r = m, -h = 4*r + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*(y\/(y*y**0))\/y)\/y*y)\/(y**(4\/13)*y))\/(((y*(y\/y**(-7))\/y)\/y)\/y**1) assuming y is positive.\nAnswer: y**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 13*d = -15. Suppose d*u - 42 = -27. Solve -4*t = -u + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 21*m**2 + 4*m**2)*(3*m**2 + 6*m**2 - 3*m**2) as o*m**2 + v + n*m + a*m**4 + q*m**3 and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 784 - 889. Let s(m) = 11*m. Let c(n) = 285*n. Give a*s(g) + 4*c(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 21*p + 10. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001251397 rounded to 5 dps?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170015521*f**3\/4 - 25332390863*f**2\/4 - 11656875*f\/4 - 1341\/4.\nAnswer: -(f + 149)*(13039*f + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 2 w when four letters picked without replacement from {w: 4, c: 2, n: 3, e: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6756420 and 6142200.\nAnswer: 67564200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 35224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1 + (-36)\/(-378) + (-15664)\/5712?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 26*r**3 - 6*r. Let w(o) = 728*o**3 - 169*o. Calculate 169*t(y) - 6*w(y).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26746985213 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -104.43616799.\nAnswer: -99.43616799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2377359458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134414046?\nAnswer: 2, 3, 13, 191473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*l - 5, l = 4*p - 0*p - 19. Let u(w) = -w + 7. Let b be u(p). Let z = 21 + b. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 1, w: 3, p: 1, h: 4}. Give prob of sequence wp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68560 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 16. Is y(11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + (5*sqrt(95)*3)\/sqrt(5)*-1*4)**2 + 4).\nAnswer: -1920*sqrt(19) + 273680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/105 - p**6\/30 - p**5\/30 - 3*p**2. Let w(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 1014*q - 28424\/7.\nAnswer: 2*(q - 4)*(q + 3553)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*w**3\/5 + 522*w**2\/5.\nAnswer: 2*w**2*(23*w + 261)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61876 divided by -4.\nAnswer: -15469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706825?\nAnswer: 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Let s(i) = 2*i + 10. Let t be s(-2). Suppose -t = -3*c - 0*c. Solve c*h = a*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-55) + (-408)\/(-390)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 2851959036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -3082, -6939, -12340, -19285, -27774?\nAnswer: -37807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5*v**3 + 506*f**5 + f**2*v**3 - 3*f**2*v + f*v**3 + 34*v**3 wrt f.\nAnswer: -120*f**2*v**3 + 30360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.7. Let l = -5.3 - m. Let t = 5.1 + l. Which is the second smallest value? (a) -4 (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v + 3. Let f be (-5 + 7)\/(-2*(-3)\/(-6)). Let r(x) = -7*x + 2. Give f*a(l) + 3*r(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14434222 + 12?\nAnswer: 14434234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16873484, 16873486, 16873490, 16873496, 16873504, 16873514?\n\"Answer: w**2 - w + 16873484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52922575 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:56 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 51, 3\/2, -2\/41, -1\/7, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 1. Suppose 0 = s + s - 14. Suppose 5*a - s = -2. Calculate q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*u - 3*m, 3*u - 118 = -5*m + 16. What is the units digit of 20\/(-6)*u\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -55, -115, -199, -307, -439?\n\"Answer: -12*z**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*l - l - 2*l + 4*l + (-2*l + l + 3*l)*(0 + 12 + 0).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 + 44*z**4 - 307*z**3 - 350*z**2 = 0.\nAnswer: -50, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1770478 and 468.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = -2*d, 2 = 19*d - 21*d + r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7415.674ns in seconds?\nAnswer: 0.000007415674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -19*y**5\/120 + y**4\/4 - 4*y**3 - 27*y. Let s(x) be the second derivative of a(x). What are the prime factors of s(-9)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316 is divided by 186?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19180982851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (57 + -34 - 7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2*w + 3. Let d be b(3). Suppose y = 4*y + 3*l + 18, 0 = 4*y - 4*l + 8. What is the closest to -1\/3 in 5, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 252. Let v(g) = g**2 - 4*g - 7. Determine v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i**2 + 10*i**2 - i**2. Let a(b) = 10*b - 180. Let h(w) = -2*w + 45. Let t(l) = a(l) + 4*h(l). Determine t(c(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 f when four letters picked without replacement from {f: 6, o: 2, d: 2, y: 3, e: 1, v: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/43142 and -121\/740?\nAnswer: 431420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7521 - -22561\/3. What is the nearest to 0.11 in 0.2, 4, d, -35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3657605t?\nAnswer: 365760.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29771, 29780, 29793, 29810, 29831, 29856?\n\"Answer: 2*b**2 + 3*b + 29766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**36\/t*t*t*t**(32\/3))**(-2\/51))**35)**(19\/3) assuming t is positive.\nAnswer: t**(-190190\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 398*q**2 - 1. Let j(a) = -a**2 + 6*a - 1. Let c(o) = -o**2 + 7*o - 1. Let i(x) = -5*c(x) + 6*j(x). Let m be i(1). Is h(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013734846 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2222.5 and 0.243.\nAnswer: -540.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8725078 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13184, -4, 876 in descending order.\nAnswer: 13184, 876, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 40*r - 41*r. Let d = r + 30. Let y = 40 - d. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*o - 0*o + 160, 4*w = -8. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + 58. Let s = -138.99999602 + a. Round s to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -m + 10, v + v + 5*m - 27 = 0. Let j be 2\/((v\/2237)\/(-1)). Let p = 174 + j. What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)*(k*(k*k**(2\/3))\/k*k*k*k)\/k*k**(-1\/7))\/(((k**(-3\/8)*k)\/(k*(k*k\/k**5)\/k))\/(k*k\/((k*k*k**(-2\/17))\/k)*(k**(1\/2)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(2521\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 37*x**4\/2 - 3033*x**3 - 6433*x**2\/2 - 165*x = 0.\nAnswer: -1, -2\/37, 0, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:06 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 163, 499, 1137, 2179?\nAnswer: 3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(363) + (sqrt(363) - sqrt(363)*1)))**2 - (5 + -1*sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(3) + 3263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000153307873 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(-3*c + 3*c + c) - 307 + 4*c + 307.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/3)\/(-4*(-1)\/8719200). Suppose 4*f - g = 11*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94672 divided by -194?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95612 - 14628557\/153. Let s = -5\/17 + p. Find o such that 2\/9 - 2\/9*o**2 + 2\/9*o - s*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-770*x + 351*x - 1 + 221*x)*(1 - 1 - 7)*(-x + 0*x - x).\nAnswer: -2772*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 + 9 + 8\/1. Find the second derivative of 42*h + h**3 - 2 + 3 - 21*h**u - 19*h**2 - 6*h**2 wrt h.\nAnswer: 6*h - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -524992263 and -524992262 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 4, c: 1, u: 5, i: 4, f: 1}. What is prob of sequence if?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -403 + -82a6?\nAnswer: -86a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*x**3 - 3167*x**3 - 652*x**3.\nAnswer: -3246*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 12*r - 6. Let p be b(7). Sort p, 4, -3.\nAnswer: p, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -43. Let z = 102 - 181. What is the remainder when s is divided by 14\/(-77) + z\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Calculate the remainder when (-2)\/8 + (-74)\/(-8) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**10\/10080 + k**6\/360 + k**4\/6 - 2*k. Let c(t) be the third derivative of h(t). Find the second derivative of c(o) wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.01 - 15.3. Let n = q + -0.6. Let z = -1.21 + n. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - ((-6)\/3 + 2). What is the common denominator of (-18)\/5*3\/d and ((-10)\/(-44))\/(60\/252)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4263 = -13*w - 12*w - 24*w. Sort 4, w, -4, 2.\nAnswer: -4, 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1333 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let b(t) = -t + t - t - t + d. Suppose -4*v - z = -1 - 6, -3*v = 4*z + 11. Give b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*z - 17 = 0, -673*i + 670*i + 18 = -2*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 + 606 - 204 - 3134*z - 208.\nAnswer: -3134*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1339491721\/15350166 - -110\/65599. Let m = l + 1177\/13. What is the common denominator of 1 + -2 + 34\/(-36) and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**2 + 2*n**5 - 16*n**2 + 12*n**2 + 0*n**3 - 2*n**5 + 0*n**3 + (0*n**5 + n**5 - 3*n**5)*(-2 + 2 - 2) - 2*n**5 + 4*n**5 + 0*n**5.\nAnswer: 6*n**5 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 617124, 2468729, 5554818, 9875391?\n\"Answer: 617242*g**2 - 121*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 62 + -90 + 3 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 5*p + 3. Let h(v) = -v - 2. Let x(m) = 3*m + 5. Let g(w) = 5*h(w) + 2*x(w). Let u(z) = -5*g(z) + j(z). Differentiate u(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -726, -3040, -6936, -12414?\n\"Answer: -791*n**2 + 59*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*t**2 + 0 - 64*t**2 - 31*t**2 + 0.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-1*3) - (-24)\/4. Sort -14, -11, q, -1 in increasing order.\nAnswer: -14, -11, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 9638?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -13 + 184. What is the lowest common multiple of u and ((45\/2)\/(-5))\/((-21)\/42)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 17. Let y be k(4). Suppose -3*j - y + 6 = -4*v, 3*v - 3*j = 15. Suppose -v*p + 88 = h + h, 3*h - 132 = 2*p. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17470 at most -17470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 7*z**2 + 18*z + 2. Let b(x) = 3*x**3 - 7*x**2 + 19*x + 2. Let g(m) = 6*b(m) - 5*d(m). What is the second derivative of g(q) wrt q?\nAnswer: 18*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15609944, -15609949, -15609950, -15609947?\n\"Answer: 2*r**2 - 11*r - 15609935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30240 and 72.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*s + 292 = 2740 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441758022 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1) - -2) + 136. Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7 - 39*d**3 + 8 + 15*d**2 - 2*d - 13*d**2. What is s(1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = -31 - 109. Put x, -358, -1, 5 in decreasing order.\nAnswer: 5, -1, x, -358","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.018 in 57, 20.82, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -140, 3.\nAnswer: -140, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/(-9))\/(46\/(-207))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484783847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -19*m + 1848. Let s be a(97). Let r be (-2)\/8 + (-21)\/(-4). Solve 0*b + 5*b + s*g + 10 = 0, r*b = -2*g - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 68.8. Let j be 48\/(-32) + (-50)\/(-4). Which is the fourth biggest value? (a) 1 (b) -0.2 (c) s (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2921)\/(-69))\/(252\/189*3\/12)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -22 - ((-15841)\/(-868))\/((-14)\/(-8))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.8, -0.3, 30, -47.5, -10 in increasing order.\nAnswer: -47.5, -10, -5.8, -0.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 - 0?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 176 = -2*h - 95 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*n = 768*n + 224 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, -5, -2 in descending order.\nAnswer: 423, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 6. Let u be f(0). Let b = -2 - u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zadab. What is prob of picking 1 a, 1 z, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose o = q + 3 + 10. Is 15 a factor of q\/(((-12)\/9)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -37*c + 2. Let i be a(-1). Suppose 0 = 3*k + 3 - i. Factor -k*z**2 + 3*z**2 + 2*z**2 + 5*z**2 + 2.\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15780523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 10 (c) 59 (d) -2 (e) 1 (f) -0.4 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7374149 and 5.7?\nAnswer: 7374143.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5704373, 5704374, 5704365, 5704340, 5704293, 5704218, 5704109, 5703960?\nAnswer: 5703765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4*l**2*v + 22692*i**3*l**2 + 286*i*l**2*v - 13*i*l**2 - 57*l*v wrt i?\nAnswer: 60*i**2*l**2*v + 136152*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**5 + h**3 + 0*h + 2*h**5 + 0*h + (4*h**2 + 0*h**2 - 3*h**2)*(-23*h**3 + 404 - 404).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6718*n**2*r*u**3 + 85226*n**2*r + 552*n**2 - 34274*n*u**3 + u**2 wrt u.\nAnswer: 40308*n**2*r - 205644*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 221 = -1313. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*u + 3435 = 4*u - 43*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 27. Let z = 1 - u. Which is the nearest to -1? (a) -0.4 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 - 15511*r**3 + 41*r**2 + 9*r wrt r.\nAnswer: 24*r - 93066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21588.\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, -4\/9, 0.5.\nAnswer: -3, -4\/9, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/15)\/((-2)\/6). Let k = 2 + g. Put -0.5, -1, k in descending order.\nAnswer: k, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n**5*n)\/n)\/n*n)\/(n**17\/n)*(n\/n**(-10))\/n**(4\/7) assuming n is positive.\nAnswer: n**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5883, -11310, -16709, -22080?\n\"Answer: 14*x**2 - 5469*x - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**2 + 8*o - 22. What is the derivative of u(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prwf when four letters picked without replacement from {f: 4, m: 1, r: 1, w: 4, s: 4, p: 3}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 1}. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*x - 26*x + 98*x + 728 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5*(4\/(-10) + 1) and -17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 2557760*w\/7 + 2557764\/7.\nAnswer: -4*(w - 639441)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -247, -377?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/18, -16, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34371\/29 + -1185. Is q equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Let d be ((-4)\/(-15))\/(2\/3). Which is the second biggest value? (a) d (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -51 in decreasing order.\nAnswer: 19, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142429 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -2787, -6081, -10641, -16467, -23559?\nAnswer: -31917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2750 and 166100?\nAnswer: 830500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/360 + o**5\/15 + 7*o**4\/4 - 18*o. Let h(j) be the third derivative of p(j). Let i be h(-5). Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w. Let t(o) = 6*o**2 + 0*o**2 - 1 - 55*o + 49*o. Suppose 18 = -4*f + 5*q - 0, -16 = 4*f - 4*q. What is f*t(d) - 11*i(d)?\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 10 - 55 + 120 + 3*z**2 - 48 - 47. Give j(-6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -530820 (base 9) to base 10.\nAnswer: -315594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/15*u**2 + 0 - 4\/15*u = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 25\/4*h**3 - 15\/8*h**4 + 0*h**2 + 73*h - 1\/20*h**6 + 0 - 27\/40*h**5. Factor x(s).\nAnswer: -3*s*(s - 1)*(s + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 33 = -3*c. Let r = -16 - c. Put r, 0, 2 in decreasing order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2142496 and 24992.\nAnswer: 23567456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2840, -93, 120 in ascending order.\nAnswer: -2840, -93, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18092*j + 2090 = -9039*j - 9031*j for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 63.971. Let p = f - 0.371. Which is the nearest to 0.1? (a) p (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*h + 386, 0 = -3*h - 2*h - 25. Suppose 2*q + 3*c = 46, 0 = -4*q + 2*c - 7*c + l. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.186962 to 4 decimal places.\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0 + 5\/24*m**4 - 36*m + 1\/2*m**3 + 1\/4*m**2. Suppose k(q) = 0. What is q?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -8d406?\nAnswer: 8d405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**6\/12 + 3*l**5\/10 + 5*l**4\/8 - l**3\/2 - l**2 + 5. What is x in i(x) = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -11. Let k(p) = 9*p - 9*p - p**2 + 3*p**3. Let b be k(1). Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235 and 2565.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 + 241. Let d(a) = 4*a - 5*a + a - c*a - a**2 - 2. Calculate d(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-60))\/((-4)\/(-2)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 56. Let r(c) be the second derivative of 0*c**4 + 0 + 1\/6*c**w - c + 0*c**5 + 1\/15*c**6 + 0*c**2. What is the second derivative of r(a) wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-7)\/6)*(-1)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:24 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (28 + -27)\/((-16)\/(-148)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, s: 2, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -87. Suppose -4*d + 398 = 2*t, -5*t + 420 = m*d - 555. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by (-24)\/(-9)*((-178)\/(-4) - 4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**2 - 7*r**3 - r**3 + 2*r**3 + 10*r**3 wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.511 - -0.381. What is the fourth smallest value in -2\/9, a, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 92\/72463?\nAnswer: 92\/72463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/7, -3599879, -3\/2?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*m - 55, -4*m + 6 - 42 = 3*l. Let x = l + 19. Let w(t) = t**2 + 4*t - 5*t - x - 5*t - 4. Calculate w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001000001 - 22?\nAnswer: 1000222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*u - 82*u - 1098. Is 1580\/13 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2381, 4760, 7139, 9518, 11897, 14276?\nAnswer: 16655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -248\/3 (b) -3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2540.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee47a + 67?\nAnswer: -ee413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121981316?\nAnswer: 2, 30495329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Suppose 11 = -5*m - r, 0 = -3*m - y*r - r - 7. Sort m, -4, -1 in decreasing order.\nAnswer: -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1190 + -1117 - (2 + -4 + -13 - 1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 36*u - 144. Let m be l(12). Suppose -6 = -3*t - 0*t. Solve -t + m = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-23 - -43 - (32 + 3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 538 + 172 = -4*q, 2*l + 4*q - 244 = 0. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12649 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423273?\nAnswer: 3, 199, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 38 = -3*z - 10, -5*z = -4*o - 28. Let q(n) = -n - 6. Determine q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let w be x(-14). Suppose -a + 4 = -r, -w + 2 = -2*r - 2*a. Do 1\/2 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.05, -19\/3, -1\/281?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(847) + -1 - (-2 + (sqrt(847) - 1*sqrt(847) - sqrt(847))))**2.\nAnswer: -10272 - 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 0, -b + 345 = 2*t + 98. List the prime factors of b.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193\/((-3683405)\/(-458150)) + -24.\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 59. Let t(o) = -10*o + 10. Let y(s) = 3*s - 3. Let m(q) = a*y(q) + 2*t(q). Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6021 - -6017. Let z = -139 + 201. What is the smallest value in f, 4, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.076 and -8.\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2. Suppose 2*s + 2 = 6. Let r be s\/2 - (14 - 11). Let h(k) = k + 8. What is r*h(o) + 9*b(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 12*u + 2. Suppose 0 = 4*t - 22 + 14. Let d be (t*2\/4)\/(20\/(-240)). Let v be p(d). Does 17 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5774409*s**4 + 3820770*s**3 - 1943991*s**2 + 9636*s - 12 = 0. Calculate s.\nAnswer: -1, 2\/801, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + ((sqrt(448) - (sqrt(448) + sqrt(448)*2)) + sqrt(448) - sqrt(448))) + (3 + sqrt(448)*-1 - (2 + sqrt(448)*1 - sqrt(448))))**2.\nAnswer: -2816*sqrt(7) + 54464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32604 divided by -2\nAnswer: -16302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8262*f - 34. Let p be n(7). What is p rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nifv when four letters picked without replacement from {i: 2, n: 2, v: 1, f: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007523 rounded to seven dps?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5)*(-5)\/1. Let r(x) = x**3 - 6*x**2 + 11*x - 6. What is the remainder when r(4) is divided by (-12)\/(-5) + i\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 e, and 1 h when four letters picked without replacement from eehehahpqhhqpqqqpa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3, p: 3, k: 1, i: 3, d: 3}. Give prob of picking 1 i and 1 v.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3054 + 3378. Calculate the remainder when 409 is divided by r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m. Let l = 16 - 14. Suppose -4 + 0 = l*p. Let u be 14\/21*(-3)\/p. Let q(b) = -7*b**3 - 4*b. Give u*q(o) - 4*s(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -62*k**3 - 4*k**2 - 4*k - 5. Let p be t(-4). Let v = -2807054\/717 + p. Let q = v - 1451\/12189. What is the common denominator of q and -5\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - (-1694)\/(-98))\/(32\/28). Sort n, -30, -89 in decreasing order.\nAnswer: n, -30, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/5 + (-5)\/(-25). Solve -u*w - 14 = c, 0 = 5*c - 0*w + 2*w + 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**4 - s**3 - 1. Let c(g) = 12*g**5 + 4*g**4 - 4*g**3 - 10*g**2 - 4. Let p(k) = c(k) - 4*l(k). Find the third derivative of p(i) wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1182 - 4?\nAnswer: 117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 - 6)*1. Let s(m) = 2*m**2 + 7*m. Let i(r) = 5*r**2 + 15*r - 1. Let z(g) = w*i(g) - 7*s(g). What is z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**5\/7 + 52676*t**4\/7 - 717716*t**3\/7 + 223628*t**2\/7 + 17170128*t\/7 + 5671296\/7 = 0 for t.\nAnswer: -4, -1\/3, 9, 4376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66810001 + 6?\nAnswer: 66810007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*j**2 - 165*j**2 - 101*j**2 + 88*j**2 + 9*j**2.\nAnswer: -328*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1681 - 162. What is the remainder when i is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*b*d**2 + 35*b*d - 11*b + 48882*d**2 - d - 76 wrt d.\nAnswer: 238*b + 97764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 6*q - 5. Let o(m) = 8*m**2 - 11*m + 9. Let r(h) = 7*l(h) + 4*o(h). Let z be r(1). Which is the closest to 0.1? (a) z (b) -17\/2 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6744372*i**5 + 18990237*i wrt i.\nAnswer: 134887440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*54*1\/4. Let y be 4*1*18\/8. What is the greatest common divisor of y and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c - 2*m + 3, c = -3*m + 1. Let s(v) be the first derivative of -c + 0*v**2 + 1\/3*v**3 + 0*v. Let q(f) = -2*f. What is q(s(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 14*w - 58 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -922 + 924. Solve h*a = -6 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -32, -7 in decreasing order.\nAnswer: -0.14, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/90 - 19*p**4\/36 - 14*p**3\/3 - 514*p**2. Factor j(b).\nAnswer: 2*(b - 21)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00218444 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 10*m**2 - 157*m + 1208. Determine z(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*q, -4*b + 4*q - 7 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 14 = -2*t, v = -47*t - 196 + 206 + 90 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -33. Suppose 5*c - 64 + 39 = 0. Solve i*v - c*v = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1660 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2 + k**3 + 4*k**2 - 5*k - 2 + 6. Let q be h(-5). What is the derivative of 3*f - q - 2*f**2 - 3*f wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5633*-0.211\nAnswer: -0.1188563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:46 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5900 divided by 5.\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 120\/(-24)) + 15778\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1177 - -1240.9. Let t = -64.7 + m. What is the nearest to -2\/7 in -4\/7, 0.5, -5, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 7 + -3 - -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n + 8. Let z be j(0). Suppose -5*q + z*q = 6. Find the second derivative of 4*o**2 + 0*o**2 + 2*o - o**q wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*h + 1086, -34*h = -33*h - 3*a - 350. Solve -h*j = -373*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 0*z. Suppose -3*v + 55 = -z*v. Let i = -5 - v. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2643 = -140*p + 3876 - 1479 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -487841, -487848, -487845, -487826, -487785, -487716, -487613?\n\"Answer: o**3 - o**2 - 11*o - 487830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/91 and -39\/98.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v*v*v)**(5\/2)\/(v\/(v\/(v**(-7)*v)*v)*v**12) assuming v is positive.\nAnswer: v**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4\/5, 3, -1089?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -750, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4449544, -4449542, -4449540, -4449538, -4449536?\n\"Answer: 2*t - 4449546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144124, -144123, -144122?\nAnswer: -144121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*i, 7*l - 3*l = -2*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 220\/118 - 0\/2. Let g = -291352753\/1416 - -205758. Let n = w - g. What is the common denominator of -89\/2 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0 + 0)*(60*t**2 + 8272 - 8272 + 2*t) + (3*t**2 + 0*t**2 - t**2)*(-11*t + 11*t - 31*t**2).\nAnswer: -122*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f + 13 = 4*x + 80*f, 4*x = 5*f + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 15 + 9*a + 44*a + 42 - 21 - 43*a**2.\nAnswer: -43*a**2 + 53*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/204*416415\/1035.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 59. Suppose 5*m + 28 = 5*t - 27, 3*t + 4*m - s = 0. Calculate the remainder when 25 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9115.\nAnswer: 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12160, 14444, 16732, 19024?\nAnswer: 21320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 a factor of 1488105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -8, 1, 2, -11, -44?\n\"Answer: -g**3 + 5*g**2 + 3*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/69828*-138)\/9.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.71 + 0.29. Let u = 1\/6 + -13\/42. What is the nearest to -0.1 in -4\/3, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9345 + 4778. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 - 1257 = -13*z. Let y = z - 69. What is the greatest common divisor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -933 - -935. Solve 8 = -5*z + 9*z + 3*n, b = 2*z + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from xkvbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.94 + 7\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 816182*z\/7 + 41620080\/7.\nAnswer: 2*(z + 51)*(z + 408040)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19596 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.313? (a) -0.5 (b) 0.3 (c) 4\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39308596?\nAnswer: 2, 773, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2118 (b) 1631\/4 (c) 3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:55 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.20342 or 7532?\nAnswer: -0.20342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24 + 14*s**4 + 24 + 2*s**4 - s**2 wrt s?\nAnswer: 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**13\/a*a)\/(a*a\/(a\/(a*a\/a**14*a*a))))\/(a**(-3)\/(((a*a**(-9)\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/15)\/(3\/75). Let n = 42 + g. Calculate the greatest common divisor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320762833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -252b (base 14) to base 7\nAnswer: -24654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -69. Suppose -j*x + 16*x = 32. Which is the closest to -1? (a) x (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w - 2. Let k be s(-3). Let z(i) = i + 5 - k + 0*i + 1. Let a be z(0). Let y(h) = -h**2 + 5*h - 6. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:44 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11213\/6149 + 3\/559. Let y = k + 5\/33. Suppose -6*j = -7*j + 2. What is the closest to j in -0.1, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*(t*t**32)\/t)\/t)*t*t**(-2))\/((t*t**(-1\/13)\/t)\/t*t\/(t*t**(-15))))**(-49) assuming t is positive.\nAnswer: t**(29253\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 21*v - 11*v + 32*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2590 by 5.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n - 8. Solve 0 = -4*h - 5*b + n + 34, 4*h - 5*b + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.67444us in seconds?\nAnswer: 0.00007967444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(8*n**2 + 8*n**2 - 2*n**2).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 - -6) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 19*i + 3. Let y(j) = 4*j**2 + 74*j - 13. Let z(n) = -26*r(n) - 6*y(n). Factor z(b).\nAnswer: 2*b*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 4965 = 40*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 2*r. Let q(f) = -3*f**2 - 2*f. Give -4*o(m) + 3*q(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 1425 - 1423 - 1178 + 5444 - 2*d - 1428.\nAnswer: d - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-25)*-1*(-2)\/11\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-652)\/2445 - (-4)\/15. Solve m = -y - 2 + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3046 + 3046.2067. Let r = j - -0.0617. Let b = r + -0.204. What is b rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**5\/5 - 10*u**4 - 5*u**3\/3 - 33*u**2\/2 + 287. What is the third derivative of f(s) wrt s?\nAnswer: -24*s - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -24*d + 132 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75505 less than -0.037385312?\nAnswer: -75505.037385312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11548 = 5*n - 2*r, -3*r + 10764 = 4*n + 1544. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 312965229 and 312965227 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 45*c - 367 + 120 + 120 + 89 in the form v + u*c and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 - 1. Let p(b) = 3*b**3 + 5*b**2 + 1. Let i(t) = -p(t) - r(t). What is the third derivative of i(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 3}. What is prob of sequence xjx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*y = 445, -4*y = 4*r - 3*y - 356. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.9999989 - -46. What is u rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231\/1976 + 2\/247. Let a = -0.3 + 0.25. Let y = a - 0.15. Sort -0.4, f, y.\nAnswer: -0.4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506948773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 994884 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 7. Let z be m(-2). Put 6, z, -1 in descending order.\nAnswer: 6, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3180, 2838, 2270, 1476, 456, -790, -2262?\nAnswer: -3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4503330 (base 6) to base 12.\nAnswer: -aab46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:45 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 4. Calculate the lowest common multiple of -1 + 0 - (-1 - (13 - -1)) and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 15 - 3. Let h = i - -8. Suppose -h*t + 3*t - 12 = 0. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387 + 3*z**2 + 387 + (4*z - 4*z + 2*z)*(6*z - 2*z - 2*z) + (5 - 5 - 4*z)*(4*z - 4*z - 2*z) to f*z + j*z**2 + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*i + 20, j + 7 = 3*i - 18. Is 11 a factor of (594\/(-8))\/(6\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3075.81 - -3076. Which is the closest to x? (a) -4 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 16 = 9*z. Suppose 5*m = j + 87500, m + 5*j - 17500 = z*j. Round m to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1666029 - -1666008.000004. Let t = -100 + 121. Let u = t + k. What is u rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117816178 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670, -1335, -2000, -2665, -3330?\nAnswer: -3995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856571?\nAnswer: 856571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1167 and 11?\nAnswer: 12837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose -7*b + g*b + 150 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -13. Let w = 8 - p. Sort w, -3, -5 in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10*(-420)\/(-252).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -674 - 17*z**3 + 55945085*z**2 - 55945085*z**2 + 4*z**3 + z**3 - 3*z**3 + (0 + 0 + 2*z)*(0*z**2 - z**2 + 2*z**2).\nAnswer: -13*z**3 - 674","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*s + 7*h**2 + 36*j*s - 7*j with respect to s.\nAnswer: 5*h**2 + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2 + 0 + 92 + 55 + 21330*w + 61. Let y be c(-37). Round y to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 188\/20*(-5)\/(-54) and 137\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from xwjzxwxjlhw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41891*n**3*s - 273*n**3 + 91*n**2*s + n*s + 11*s + 536354 wrt s?\nAnswer: 41891*n**3 + 91*n**2 + n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + 8?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17702 divided by 2258.\nAnswer: 8851\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 85*f**2 - 156*f - 438. Is u(87) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -39. Suppose 2*c - 71 = 3*x, -w*x + 101 = 5*c - 24. What is the remainder when 109 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2407223\/39 + 11)*2\/(16\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b65a (base 12) to base 10.\nAnswer: 206566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -7*r**4\/2 - 246*r - 67. Let s(j) be the first derivative of k(j). Let o(g) = -3*g. Give s(o(a)).\nAnswer: -378*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -532 <= -669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161.\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-1 - 7 - -33) + -7)) + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150605 + 92772717\/616. What is the common denominator of s and -64\/2541?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y - 31*y - 29*y - 10*y - 34*y + 62*y - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfbfmfh. Give prob of sequence bm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:01 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + x = -25, 0 = 2*z + 4*x - 12. Suppose 3*m + 3 = -n, -z = -4*n - 4*m + 2*m. Suppose n*i - 15 = 2*i. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2448)*1 + 2)**2 + -6*(-4*sqrt(2057))**2 + 0)*1.\nAnswer: -195024 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 400 - 152*z - 5*z + 155*z as m + l*z and give m.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 - 0.43. What is the fourth smallest value in w, 4, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-32))\/(8751\/(-186688))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41845 is divided by 618?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - 5*x + 5. Let r(b) = -b**2 - b + 1. Let i(j) = -5*j**2. Let k(z) = i(z) - 2*r(z). Let t(a) = -2*c(a) - 5*k(a). Let v(u) = 7*u. Give t(v(l)).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35291331419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1395 divide 2641488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295858 and 109.\nAnswer: 32248522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92178739 and -6.\nAnswer: -553072434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194345 or 192408?\nAnswer: 192408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20003*m + 4*m**3 + 20003*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105039 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -15*y + 635. Calculate f(43).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 15) in base 14?\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/7)*y**(-2\/11))**3 assuming y is positive.\nAnswer: y**(288\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 26*k**2 - 25*k + 6. Calculate o(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 7, 33, 75, 133, 207, 297?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a. Let x(m) = 70*m**2 - 161. Give x(b(v)).\nAnswer: 7000*v**2 - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - 2 - (6 - 14). Solve -3*d + 3*z = -z + x, 20 = 3*d + z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26475, 29317, 32161, 35007, 37855, 40705, 43557?\n\"Answer: f**2 + 2839*f + 23635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*l**2 + 2351331*l - 1175631*l - 1175700*l.\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j**2 + 1 - 1)*(-1 + 5 - 2) + j**2 + j**2 + 0*j**2 - 3*j**2 - 2 + 2 + 3*j**2 - 2*j**2 - 5*j**2)*(j**3 + 0*j**3 + 0*j**3).\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609328759?\nAnswer: 13, 46871443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/189 and 47\/543051.\nAnswer: 3801357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 + 123 = 177*n - 635 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26665 - 0.49?\nAnswer: -0.75665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44062591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -284, -276, -268, -260?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -787\/1753 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:54 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 + -254. Let u be 6*(27\/30 - 4\/10). Suppose t = 2*g + 323, u*t + 4*g - k = 865. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*f + 115 + 5, 3*f - 3*l = 72. Let t = 16 - 11. Suppose f = t*b + 4. Solve b*h = -8 - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b28 - 2?\nAnswer: -b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) + (-2)\/(-6). Suppose -a*j - 9 = j. Let o(u) = u**3 + u + 1. Let t(d) = -4*d**3 - 3*d**2 - 3*d - 5. Let l(v) = 3*o(v) + t(v). Give l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794408583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + n. Suppose -n*j - 45 = -9*j. Calculate the least common multiple of 20 and 4\/(-3)*j*-1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12)*(-9 - -5). Solve -2*z - 1 = -q + 3*z, -n*z + 1 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152\/40 - (-2)\/10. Solve 0 = -4*b - 0*y + f*y + 20, 3 = 3*b + 3*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = 0. Let p be k + (-2)\/(-2) - 1. Suppose -20*n = -26*n. Is p >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 10, 32, 74, 142, 242?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*p + 2504, 0 = 5*n + 2*p - p - 6280. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-16351588)\/3696. Let z = -4421 + a. Find the common denominator of z and -37\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/505 and 37\/3818230.\nAnswer: 385641230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/12 - 47*y**2\/2 - 42. Let d(h) be the second derivative of r(h). Let p(b) = 5 - 3*b - 3 + 9 + 5*b. Determine d(p(k)).\nAnswer: 4*k + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 2*o**3 + 3*o**3 + o**3 + 3*o - o**2 - 2*o to b*o**3 + d*o**2 + u*o**4 + j*o + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**5 + 388*i**2 + 63*i**5 - 143*i**5 wrt i.\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -97687193 and -555539.\nAnswer: -98242732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**16)**(39\/5) assuming w is positive.\nAnswer: w**(663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 take away 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/40 and -59\/17729040.\nAnswer: 17729040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - -0.1. Let n = d - -0.43. Let m = -29 - -146\/5. Which is the second smallest value? (a) n (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/60*60\/352)\/((-6)\/8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2131 - 2130.0388. Round v to two dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/850043761 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-32*p + 62*p + 191*p) - p + 5*p - 5*p + 3 as d + b*p and give b.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268475427?\nAnswer: 3, 7, 89, 1748783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 158. Let d = j - -226. What is the common denominator of -13\/12 and -2 + 4\/(d\/135)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*d + 115 = 0, 5*g + 2*d + 77 - 192 = 0. What is the remainder when g is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 37*j - 30*j + 966 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4218, 16905, 38072, 67737, 105918?\n\"Answer: 3*t**3 + 4222*t**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 46660000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 920\/4711 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5803526280 + 8529525777. Let g = -2725999520.69999849 + q. Let b = g - -23.7. Round b to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 4*f**3 - 2*f**2 + 3*f**3 + 3 - 1. Is u(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*j - 18 = 0, 4*x - 4*j + 7 = 5*x. Suppose 34 = 7*o - 2*o - x*s, 4*o = 3*s + 29. Suppose -o*r = 7*r - 72. Is r less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1943 or 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/2))**(-1\/30)\/(o**16*o**(-4\/15)) assuming o is positive.\nAnswer: o**(-949\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**3 - z**2 + 579*z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*b*h**2*t**3 + 3*b*h**2*t**2 + 5*b*h**2*t + 3*b*h*t**3 - 2*b*t**2 + 3*h*t**2 wrt t?\nAnswer: -114*b*h**2 + 18*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s + 2*b = 0, -3*s - 9 = -b. Let y = 524 - 3679\/7. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:00 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -273*t**2. Let n(w) = -2571*w + 2571*w + 2*w**2. Determine n(y(h)).\nAnswer: 149058*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66721 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1655.26 * -4.\nAnswer: -6621.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 6*u - 140 = 0. Solve -11*k - 5 = -u*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-12) - 1) + 3. Let m(t) = 14*t - 7. Let h be m(1). Suppose -h*b = -43 + 15. Put n, b, -4\/3, 1 in descending order.\nAnswer: b, 1, n, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -3. Let r be (-1)\/c + 14\/8. Suppose 0 = -5*f + r*f, -160 = -5*i - f. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = -15, 4*j + 2*o - 18 = 0. Let s = -5 - -5. Suppose s = -k - k. Solve -w - 6*b + j = -b, -w - 4*b + 2 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32275666 or -32275669?\nAnswer: -32275666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1361504 and 805954.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16994 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148529 (base 12) in base 5?\nAnswer: 42040403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 38401 - 6329 = 0. Let j be k\/(-14) - -4 - (-4)\/(-7). Is -453 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2233 - -3?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14*71\/(51759\/2268).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/60 + y**4\/8 + 2*y**3\/3 - 8*y**2. What is i(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193a570 + -3?\nAnswer: 193a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.742 and 1061.\nAnswer: 6092.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 - 4\/10. Suppose x = -3*o + o + 4*f + 50, -3*o = f - 40. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o\/(o*o**(2\/25))*o))))**3\/(o**3)**(33\/7) assuming o is positive.\nAnswer: o**(-2958\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 3483.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3579 and 26447.\nAnswer: -94653813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 182973 and 2.\nAnswer: 182975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24.51624 and -0.064.\nAnswer: 1.56903936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -223061650 (base 7) to base 5\nAnswer: -11431412323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**5 - 38*p**4 + 64*p**3 - 40*p**2. Let f(w) = 4*w**5 + 36*w**4 - 68*w**3 + 40*w**2. Let d(u) = 3*f(u) + 2*j(u). Solve d(r) = 0 for r.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-13)\/3). Let k = 1.90991 - 1.60991. Put t, k, 2 in decreasing order.\nAnswer: 2, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8*4)\/1. Let v be (-13 + q + 4)*-2. Let h = 6 + -6. Sort 4, h, v.\nAnswer: h, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 2437*s**2 + 1711*s**2 - 1.\nAnswer: -726*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4514*i - 14 = 4510*i, 23 = -5*h + 7*i for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*h - 3 = 2*u, -30 = 2*u - 2*h. Let k be 2\/(-5) + u\/(-5). Suppose -2 = k*c - 12. Solve -2*m + 14 = -3*y + 7*y, 0 = -c*y + 3*m + 34 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8389836437418 - 3.\nAnswer: 8389836437415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62423432333 and 6.6.\nAnswer: 62423432339.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5125 + -51?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93.9 and -7?\nAnswer: 657.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 4*i + 23. Let m be b(-7). Let l(q) be the first derivative of 1\/6*q**4 + 0*q - m - 2\/9*q**3 - 2\/3*q**2. What is y in l(y) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 457830.944 to the nearest 100.\nAnswer: 457800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -191*z. Let d(w) = -9008*w**2. What is j(d(r))?\nAnswer: 1720528*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1c7a (base 15) to base 9\nAnswer: 8437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113900.5mm in micrometers?\nAnswer: 113900500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 2. What is f(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**2 - 3\/10*h**6 + 0*h**5 + 0*h**3 + 1\/2*h**4 + 9*h + 0. What is the third derivative of j(f) wrt f?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -730*0.1\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -321*i - 3863. Determine c(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/48*6)\/((-12)\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 8095.\nAnswer: 2\/8095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 1473478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 6. Let t be v(-3). Let a(w) = -4*w + 4. Let i be a(t). Let r(x) = x**3 + 9*x**2 + 5*x + 10. Is 18 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7.6, -3\/5, 0.11, 1\/3?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 - 3 = 8*c. Let d be 4\/(-2) - c\/(-4). What is the common denominator of -33 and 3*((-132)\/d + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 41. What is the second derivative of 228*h - 240*h + 5*h**4 + 13*h**c wrt h?\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let l(o) be the first derivative of -2*o**2 - 77 + 33*o**2 + 1 + 10*o**2 + 23*o**2. Calculate v(l(f)).\nAnswer: -32768*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 13*q - 74. Determine r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14380641 smaller than 14380641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74927 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 230*u**2 - 249*u - 249. Is 12 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x - 12 + 0 + 12 to the form u*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88693.35 millilitres in litres?\nAnswer: 88.69335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*s - 28. Let d = 18 - 12. Let x = d - 4. Solve x*z + 3*h = 6, -4*z = -s*h - 6 + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -1256091?\nAnswer: 1256090.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -110*y - 23. Is w(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424363100 rounded to the nearest one hundred thousand?\nAnswer: 424400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*y\/((y\/y**(2\/3))\/y)*y)\/(y**(-1\/8)\/(((y\/(y*(y*y**(2\/7)*y)\/y*y))\/y)\/y)))\/((y\/(y*y\/y**(2\/3)))**50*y**(-2\/9)*y**(-1)) assuming y is positive.\nAnswer: y**(6247\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(272) - sqrt(272)) - (-3 + 0 + sqrt(272)) - ((sqrt(272) - (sqrt(272) + 0 + sqrt(272)))*-2 + 4 + (sqrt(272) - sqrt(272)*2)))**2*-4*6*6.\nAnswer: -626832 + 4608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203413 (base 5) in base 14?\nAnswer: -dbb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26457999.\nAnswer: 3, 2441, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 6*h + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, 5, -0.1, -3\/7 in decreasing order.\nAnswer: 5, 4, 0.3, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3, 1\/18621, 1\/8, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + -1*(sqrt(228) + (sqrt(228) - (sqrt(228) + -1*sqrt(228))) + sqrt(228)) - sqrt(228))\/sqrt(12).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2129980537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.24 (c) 0.2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*c*c*c\/c**2)\/((c*c**6*c)\/(c*c**5*c)))\/(c**(-2\/17)*c**6\/c*c*(c**0)**(-1\/6)) assuming c is positive.\nAnswer: c**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, x: 4, j: 2, z: 5, k: 4}. What is prob of sequence xzkj?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztbbuuuby. Give prob of sequence yz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 6 = -2*j. Let h(x) = -x**3 + 5*x**2 - 4*x + 6. Let m be h(4). What is the greatest common divisor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m)**(1\/35)*(m**(-1\/17)*m)\/(m\/(m**2*m)) assuming m is positive.\nAnswer: m**(1716\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 88 = -3*t - 16, 0 = t - 2*s - 19. Solve -3*p + t - 28 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -316*r - 4247. Let t(c) = 2*c + 38. Calculate t(b(v)).\nAnswer: -632*v - 8456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365921182 by -14971.\nAnswer: 24442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 4.8. Let q = -15757 - -15758. Which is the fourth smallest value? (a) -0.06 (b) q (c) z (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 457, 754 in descending order.\nAnswer: 754, 457, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 153*i = -125*i + 2112 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let a = 10 - t. Suppose -11*i + 13*i = 4. Calculate the least common multiple of a and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.6625 - -0.676\nAnswer: -17.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 773? (a) -0.2 (b) 4 (c) -0.5 (d) -5 (e) 112\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (111\/74)\/(((-54)\/45)\/(56\/(-49)))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 144*z**2 + 5. Let w(y) = 6*y**2 - 221. Let f(b) = -b**2 + 39. Let j(c) = 34*f(c) + 6*w(c). Give j(g(h)).\nAnswer: 41472*h**4 + 2880*h**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -0*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -454 + 470. Solve -11*t - 28 - w = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 23. Let k = z + 5. Let d = k + 4. Calculate the highest common divisor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1152 or -1151?\nAnswer: -1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 2*k**4 + 2*k**3 + (2*k**4 + 0 + 0)*(-3 + 2 + 2) + 19*k**4 + 231*k**4 - 35*k**4 in the form s*k + p*k**3 + i + q*k**2 + m*k**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 556 and 36?\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009135573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6273*g - 4137*g - 6410*g.\nAnswer: -16820*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*k - 45479 = -296*k - 4*z, k + 5*z = 15167. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649\/35 + 82\/5. Find the common denominator of -75\/46 and o.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 49*v**6\/40 - 4767*v**5\/80 + 3509*v**4\/8 + 1101*v**3\/2 + 243*v**2 + 27*v - 44. Find t such that r(t) = 0.\nAnswer: -2\/7, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/153 and -4*(-129)\/378 + (1 - 2).\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:09 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-49)\/(-42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7392197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1720 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 8:06 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -166*p**5\/5 - 842*p**4\/5 - 1222*p**3\/5 - 582*p**2\/5 - 36*p\/5 = 0.\nAnswer: -3, -1, -6\/83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 18121, -3, -35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -45*i + 26. Let j be k(4). Let z = -59 - j. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32636173 to the nearest integer?\nAnswer: 5713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2486, -9895, -22240, -39515, -61714, -88831, -120860, -157795?\n\"Answer: p**3 - 2474*p**2 + 6*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -13*q**6\/60 - q**4\/4 - 10*q**2 + 6*q. Let m(o) be the first derivative of l(o). Find the second derivative of m(h) wrt h.\nAnswer: -156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -18 - (2 - (-2 + -3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 13*t - a = 2131, 4*t - 4*a = 2852. Let h = t - 704. Put -46, -5, h in descending order.\nAnswer: h, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 50 = 3*h. Suppose -3*x + h = -47. Calculate the highest common divisor of x and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 270\/7 (b) 1\/2 (c) -1.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 15. Let x(b) = 7*b**2 - 9*b - 30. Let w(y) = 2*g(y) - x(y). Let z(l) = 6*l**2 - 9*l. Calculate -5*w(o) - 4*z(o).\nAnswer: o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 7. Let y be b(7). Let a(f) = -f**2 + f + 815. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2*q - 4300*q**2 - 2*q**4 + 5 + 4301*q**2 - 2*q**4 - q**4 as c*q**2 + w*q + y*q**3 + m*q**4 + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 283*u**2 - 3*u + 76. Let x be p(5). Suppose -x = -6*w + 19522. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/44 and 39\/107929132.\nAnswer: 1187220452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*m**4*w + 653*m**4 - 63281*m**2*w wrt m?\nAnswer: 1752*m*w + 15672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/13 (c) -1\/6 (d) -17138 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*m + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*p**3 + 36*p**3 - 151*p**3.\nAnswer: -270*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149456651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759080?\nAnswer: 2, 5, 23, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 40 = 9*n, 93*n - 185*n + 8 = -90*n + w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 20*m + 25. Give x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqj when four letters picked without replacement from qqhqhjhjqqjh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/90 and -67\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -35 (b) -4 (c) 0.2 (d) 2 (e) 719 (f) 4 (g) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 3.83. Let k = -0.853 + -0.047. Let y = d - k. Put -0.5, 5\/6, y in descending order.\nAnswer: 5\/6, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 c when three letters picked without replacement from pccqg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 1 - a + 6*a + (8*a + 30 - 32 + 6*a)*(-2 - 2 + 2) to c + p*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 9*w + 2*w + 6*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -444 times -0.3\nAnswer: 133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 2. Let n(j) = j + 9. Let x be n(-10). Let d be s(x). Is d greater than or equal to 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d**2 - 933*d - 36353 wrt d.\nAnswer: -18*d - 933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63388 and 697268.\nAnswer: 697268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86.534 + -1.834. Let t = 85 - o. Sort t, 0.4, -1\/3 in decreasing order.\nAnswer: 0.4, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((20\/50)\/((-60)\/25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqkwkwqwqkqkk. Give prob of picking 1 q and 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c**3 + c**2 - c - 1. Let g be i(-1). Solve 0*s + 5*h = s - g, -h = -3*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749*y**3 + 2757*y**2 wrt y.\nAnswer: 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(33\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/84 and 31\/5320.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -21*c - 1. Let y(u) = -3*u**2 + u + 50. Calculate y(j(w)).\nAnswer: -1323*w**2 - 147*w + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/(-15)*(-1)\/(-6)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36646 (base 7) in base 12?\nAnswer: -5671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Suppose -6*m = -w*m - 16. Suppose x + m*j + 9 = -j, -4*x - 2 = 3*j. Which is the biggest value? (a) x (b) 0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/2 - l**3\/3 - 2*l - 63. Let x(y) = y**3 + y**2. Suppose p = -p + 2. Let j be (22\/14 - 40\/70)*1. Give j*x(k) + p*h(k).\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.68052 millimeters to nanometers.\nAnswer: 90680520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + -1 + -44. Let i = -10 - q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (-3 + -2*sqrt(1584))**2 - ((sqrt(11) - (1 + 0 + sqrt(11)))*-5 - (0 + sqrt(11)*-2 + -4)).\nAnswer: 142*sqrt(11) + 6327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e (base 16) to base 6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 975804\/119 and 8200 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c + c - 4*c)*(0*c**3 + 3*c**3 - c**3 + (27*c - 27*c + 3*c**2)*(-3 - 2*c + 3)) to f + w*c**2 + m*c**3 + j*c**4 + h*c and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 29. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1790907, 1790910, 1790913?\nAnswer: 1790916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53407*-0.3.\nAnswer: 16022.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132560\/(-51367))\/((-2)\/31)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002539144152 rounded to six dps?\nAnswer: 0.002539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -153*c + 607. Let o be j(4). Put -42, o, -4, -21 in descending order.\nAnswer: -4, o, -21, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 3*i)*(-2 + 2*i**3 + 2) - 2*i**2 + 2*i**2 + i**4 + (-3*i**2 + 5*i**2 - 3*i**2)*(3*i**2 - 2*i + 2*i).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 167, -8 in increasing order.\nAnswer: -8, 6, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-5)\/(-40)*8. Suppose 0 = -x*a + 4*a + 32. Solve 47 = -5*g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 29*a - 147. Let y be k(21). Solve y*t = 22*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6)*28\/(-175)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/((-2)\/(-24)). Let n = 4.4 - 4. What is the closest to -2\/7 in f, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84389 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 1, i: 3, d: 2, l: 1, h: 2}. What is prob of sequence lhd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3209, -6405, -9601?\n\"Answer: -3196*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 2 + 1 - w**3 + 0 + 0. Let c be m(-2). Suppose 170 = c*p - 45. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/27, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {z: 1, x: 4, q: 2, i: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 2373*k**2 - 1877043*k - 494913671 = 0.\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let j be -9 + (0 - -3) + -3. Let i be w(j). Let s = 3 + i. Solve -s = 2*v + 3*m, v = -2*m - 8 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 6, -4, -7, 0 in decreasing order.\nAnswer: 6, 0, -1, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let n(l) = -705*l**2 - 632*l**2 + 2148*l**2 - 673*l**2. Calculate t(n(x)).\nAnswer: 138*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560802.\nAnswer: 2, 3, 11, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5025859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88095256 - 399*d + 88095256.\nAnswer: -399*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 15) to base 10\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.043662 + -2.932962. What is b rounded to two dps?\nAnswer: -2.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7 (b) 0.14 (c) 85 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 8. Determine z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-10)*4\/(-5). Suppose 0 = -t*s - 4*w - 10, -3*s + 2 = 3*w + 5. Solve -p - 12 = s*l - 4*p, -3*l = -4*p + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 182?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 11. Let y(r) = -r**2 + 3. Let x(t) = 6*s(t) - 22*y(t). Let g(h) = -2*h**2 + 12*h. Give x(g(m)).\nAnswer: -8*m**4 + 96*m**3 - 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -21b2bd?\nAnswer: 21b2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z. Let c(i) = 77*i + 92*i - 139*i - 2*i**2 + 3*i**2. Determine r(c(b)).\nAnswer: -4*b**2 - 120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c - 16 = 2*n, 0 = 3*c - 2*n - 11. Let g be -1 - ((-60)\/16)\/c. Let z = -1\/6 + -1\/3. Put 0.4, z, g in decreasing order.\nAnswer: 0.4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 + 0)\/(-1))\/((-4)\/(-20)). Suppose l*h = o + 3 + 8, 3*h = o + 7. Solve -5*n = 25, -4*n - 7 = 3*k - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 948, -1098, -2.\nAnswer: -1098, -2, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, n: 4, g: 2, v: 1, u: 4}. What is prob of picking 1 n and 1 u?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -u. Factor -14 - 83*g + 83*g + 11 + u*g**2.\nAnswer: 3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*t**4 + 60*t**3 + 1445*t**2 wrt t?\nAnswer: -456*t + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31 - 25 - (5 + -1). Let q be (-43 + 40)\/(0 + z\/(-6)). Is q less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + (2 + 1*(1*sqrt(500) - sqrt(500)) + sqrt(500) + ((1 + sqrt(500))*-5 - sqrt(500))*-5)**2)*-6.\nAnswer: -2887350 - 100440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 235012580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/181 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 1252*y**2 - 124*y**4 + 1250*y**2 + 7*y**6 - 27*y + 58*y**4 wrt y?\nAnswer: 840*y**3 - 1584*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 g when four letters picked without replacement from {g: 3, s: 1, h: 1, z: 3, p: 6, k: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.8 and 0.2.\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + 136. Solve 3*q + k*r = 4*r - 8, -q + 5*r = 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*x**4 - 4983*x**3 - 202*x**2 + 36*x - 4?\nAnswer: 864*x - 29898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b**5 + 0*b**4 + 29\/2*b**2 + 10\/3*b**6 + 0*b**3 + 0*b - 6. What is the second derivative of f(s) wrt s?\nAnswer: 400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h + 15. Give a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -825 - -1388. What are the prime factors of l?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1127552 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 280741354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -152 - 21067?\nAnswer: -21241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*f**3*v + 7*f**3 - 18*f**2*v + 2*f**2 + f*v - f - 7*v - 302 wrt f.\nAnswer: 84*f*v + 42*f - 36*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215327208 rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3289, 2467, 1491, 283, -1235, -3141, -5513?\nAnswer: -8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 606*z**2 - 118368*z + 4634496 = 0. What is z?\nAnswer: -447, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 6. Let c be i(-9). Let q(t) = t**3 - 5*t**2 + 3*t + 2. What is q(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 29896248?\nAnswer: 29896248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*v - 20, -5*x - 4*v + 32 = -4. Let f be (-2)\/(-4) + (-2)\/4. Suppose 5*p - 25 = -0. Solve f = x*r, -g + 3*r - p = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.075 less than or equal to 93.958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28295 (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**5 - 15*t**4\/4 + 160*t**3\/3 - 150*t**2 + 160*t - 1219. Solve b(g) = 0 for g.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.4, 6, 4\/9, -5, -3\/8, -50?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 5*i + 1. Let d(u) = 6*u**2 + 0*u - 2*u**2 - 3*u**2 - 5*u - 1 + u**3. Let v(w) = 3*d(w) + 2*s(w). Let h be (-7)\/2 + 1\/(-2). Give v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 - 4*v. Let m(x) = 14*x**2 + 11*x. Let f = 3 + 1. What is f*m(c) + 11*n(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*x - 172*x - 119*x)*(8*x**2 - 5*x**2 + 12*x**2).\nAnswer: -6735*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 less than -0.00811?\nAnswer: -0.51811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 63*q - 7829437 = -5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236286*v**2*y + 8*v*y + 102*v + 2*y - 34 wrt v?\nAnswer: -472572*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eew when three letters picked without replacement from weweeewe?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27248 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107122553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851305 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2 - p - 4. Let n(k) = 49*k**2 - 29*k**2 - 25*k**2 - 2. Calculate 3*f(r) - 5*n(r).\nAnswer: -2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(30\/9 + -3). Suppose t*q = 5*c + 5*q - 940, 3*c - 4*q - 536 = 0. Let f = -95 + c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scr when three letters picked without replacement from cmjsrzrcj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847461737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2. Let t(o) = 49*o**2 - 17*o - 62. Let j(n) = -t(n) + 6*x(n). Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 12 + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -14 + 8 + -10 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from nnqqq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 21 = 43 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8208453 less than -8208464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 6860 + 6860.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6067, 5928, 5775, 5602, 5403, 5172?\n\"Answer: -s**3 - s**2 - 129*s + 6198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 = -201*g - 751 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - 84. Calculate the lowest common multiple of 8 and s\/(-36) + 4\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24594793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408389411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3\/64, -12, -2\/5, 0.2 in decreasing order.\nAnswer: 0.2, 2\/13, 3\/64, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 893 - 19703\/22. Find the common denominator of ((-195)\/99 + 2)*(-16830)\/(-132) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 3*r**2 - 14*r - 12. Calculate l(-4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 4 = 10*h. Let o be (-3)\/81*-33 - h. Determine i, given that 2\/9*i**4 + 2\/9 + 4\/9*i**3 - 4\/9*i**2 - 2\/9*i - o*i**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74827369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((8\/6)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 3*g**2 - 4*g + 2. Let p be u(-4). Suppose 2*b + 15 = i, -7*b + p*b + 2*i = 38. Let k = b + 12. Which is smaller: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836522?\nAnswer: 2, 43, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -38 - 2*r - 2*r - 4*r - 2*r. Let a be g(-7). Is a > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 3*j - 4*j + (3 - 5 + 0)*(-3*j + 4*j - 2*j) - 1 + 1 - j - j + 3*j - 3*j + j - 2*j - 3*j + 1807*j - 3512*j + 1913*j.\nAnswer: 206*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5147*p + 675*p + 129*p + 1154*p.\nAnswer: 7105*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48508 is divided by 4020.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:38 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120039605 minus -452646?\nAnswer: 120492251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 51*p**3 - 315*p**2 + 837*p - 810.\nAnswer: -3*(p - 6)*(p - 5)*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -75.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 3*n**2. Let j be h(2). Suppose 2*a + 2*g + 2 = -2*a, 0 = -5*g - 5. Suppose a + 5 = -5*v. Put v, j, 2 in ascending order.\nAnswer: v, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + 80*z**2 - 11*z + 22*z as a*z**2 + d*z + b and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3 - 1395*r**6 - 2030*r**6 + 200*r**6 + 551*r**6 + 1157 - r**2 wrt r?\nAnswer: -320880*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a470 + 4?\nAnswer: -2a468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c + 46. Suppose -12*n - 2 = -4*n - 9*n. Give h(n).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/336 - 2*v**7\/315 + v**6\/180 + v**5\/45 + v**4\/72 + 5*v**2. Suppose a(n) = 0. What is n?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465656241*z**2 - 5*z**3 - 931312482*z**2 + 465656241*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177880 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 132. Solve 0 = -v*m + 5*m - 1, -h + 2*m = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.067 - 0.203. What is z rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (10 - (4 - 0 - -8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h = 6*h - 1688 + 5968 + 984 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 369*f - 1360 = -19*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -748*n**2*r - 90*n*r + 197075*r wrt n?\nAnswer: -1496*n*r - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614674.\nAnswer: 2, 307337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3)*2\/(-5). Let v = 3.5 + -3. Let p = 0.7 - v. Is p < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 99 + 104 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*k + 5, 3*z + 8 = -7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from fyffc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994.0391 kilograms to nanograms.\nAnswer: 994039100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 26*j - 11. Let n(d) = 13*d - 6. Let m(l) = 9*n(l) - 4*y(l). Let s be m(7). Suppose 3*c - s = -0*c. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7803443 or 7803442?\nAnswer: 7803442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12 = -4*t, -5*l - 6 + 30 = -7*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 114. Suppose -3*f = 3*w - 411, -2*f - 290 = -85*w + 83*w. Let u = b + w. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1529*u - 1315*u**2 + 1529*u.\nAnswer: -1315*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - x - 1. Suppose 12 = -0*b + 4*b. Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -31, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118949443, 237898886, 356848329, 475797772, 594747215, 713696658?\nAnswer: 832646101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1536, 650, -834, -2916, -5596?\n\"Answer: -299*i**2 + 11*i + 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*i + 3*u, 119096*i - 119100*i - 2*u + 30 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 7. Let x = n + 25. Solve -4*b + x + 7 = -c, -27 = -5*b - 3*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 1 v when three letters picked without replacement from {o: 1, c: 1, v: 2, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -5.368?\nAnswer: -5.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 3*s + 2. Let z be n(-2). Suppose z = j + j - 70. Suppose -j - 56 = -t. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 12, 15, 8, -15, -60, -133, -240?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 - -172.67. What is q rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27901 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/312)\/(2 - 21\/9). Which is the closest to 1\/3? (a) -0.07 (b) -4 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0 = -4*v + 10, 0 = 4*v - 4*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c + 2 + 0)*(-4*c**2 - 3*c**2 + 5*c**2).\nAnswer: 4*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22970*g + 625. Is 143 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**4 - 275*k**3 + 2*k**2 - k - 4210 wrt k.\nAnswer: -144*k - 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (380\/175 - 2)\/(3\/5). Factor -x*t**2 + 0 + 0*t.\nAnswer: -2*t**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*b + 10. Suppose -b*x - 993 = -1018. Solve -4*s - x = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let b = z + -1. Let q = -0.19 - 3.81. Sort b, q, 1\/3.\nAnswer: q, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 56 - 4 = 0. Suppose -f - f = i. Let x = -6 - f. Solve 5*o = -x*s - 41, s + 1 = 2*s - o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 2*x**2 + 4*x + 7. Let y(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/12 + 2*f**3\/3 + 10*f**2. What is -4*k(s) + 7*y(s)?\nAnswer: s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93317, 186756, 280195, 373634, 467073, 560512?\n\"Answer: 93439*b - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 31*f - 30*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o. Let w = 293 + -290. Let i(m) = -2*m - 2*m + w*m. What is v(i(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*x + 14 = 8*n, 7 = n - 3*x. Let v be 0*2\/(-4) + 5. Suppose 5*g - 35 = -5*w, 4*g - v*w - n = -0*w. Solve -g*q = l + 15, 3*l = -q + 5*q + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2\/8)\/(4\/8). Suppose c = 20*r - 1 - 59. What is the greatest common divisor of r and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 0*n**2 - 46 - 40\/3*n**3. Let p(a) = 7*a**2. What is o(p(h))?\nAnswer: -1960*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(240)\/(-1*sqrt(8)))\/((sqrt(144)\/sqrt(4))\/sqrt(6)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-99) + -47*1\/77. Let f = -0.05 + 0.55. Let y = 0.4 - 0.3. What is the second biggest value in y, l, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + 155. Let h be ((-2)\/10*3)\/((-39)\/w). Sort h, -3, 0 in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2951 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13000132221 (base 4) to base 9.\nAnswer: 3408756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 12. Let d be c(-18). Let p = d + 479\/16. Let r = -393 - -392. Is p at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (71 - 69)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-28 - -15) - (-5 - -6 - 3 - -67)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3970, 2, -4\/411 in ascending order.\nAnswer: -4\/411, -1\/3970, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 5:33 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2708 + 2712. Solve -54 = -r*w - 14*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014982153.\nAnswer: 21419, 47387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40785 + 770*d - 40787 + 214*d)*(d + 1 - 1) to k + b*d + l*d**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1114, 4524, 10288, 18412, 28902, 41764?\nAnswer: 57004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*k + 188*a**3 + 3*a**2*k + 292*a*k + 26*a + 1 wrt k?\nAnswer: -a**3 + 3*a**2 + 292*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*((-45)\/(-10) - 4). Is -3 + (n - -2 - -239) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 1648 - 916 = 0. Solve 4*b - 3*q = 7*b + h, 4*q + 20 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 928*c**2 + 34. Let g be x(-5). Let l = g + -1115357\/48. Find the common denominator of 67\/42 and l.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 0 - (27 + -4) - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9385 = -422*y - 3638 - 903 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 27092 = -4*a, 5*g + 7816 - 34912 = -4*a. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*j = 88*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204649 + 808871 = 24*q. Suppose -22*a = 19*a - q. What are the prime factors of a?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107480402.\nAnswer: 2, 113, 173, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -25.8. Which is the third smallest value? (a) t (b) 0 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 6*a + 6. Let g be ((-5)\/15)\/((-2)\/(-30)). Let x be q(g). Put -3, -2, x in decreasing order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/2040 and -25\/20604?\nAnswer: 206040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117)*-2 + sqrt(117))\/sqrt(9) - sqrt(156)\/(sqrt(48)\/sqrt(4)))**2 + 1*sqrt(117) + (sqrt(104) + -2*sqrt(104) + sqrt(104))\/sqrt(8).\nAnswer: 3*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from {h: 5, a: 1, b: 3, y: 2, u: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 5}. What is prob of picking 1 x and 2 n?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 511586 + -10 + 21 + 9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*n + 189 = 0. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let y = -46.31 - -46. Let p = y + 0.01. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.23 + -0.226. Round y to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-7 + (6 - 14) + 18)) + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6851076 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j**4 - 4*j**4 + 37*j - 6*j**4 wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1111010101101001101101101010?\nAnswer: 1111010101101001101101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/8 + 5559119*m**2\/4 - 30903870765481*m\/8 + 92711212040307\/2 = 0. Calculate m.\nAnswer: 12, 5559113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1972 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 127 = -3*w + 123, 0 = -4*w - 5*o - 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 2*n**5\/5 + n**4\/6 - n**3\/6 + 2*n. Let v = 6131 - 6130. Determine t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003242064709 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2 (b) -107 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/743 - -2225\/1486. Sort -16, -4\/3, p in descending order.\nAnswer: p, -4\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -67*l + 335. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22748 + -9*(-12)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/50 + (-5952)\/(-600)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 + 5?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/70)\/(16\/28)*34\/(-119)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 846*j + 59643 = 0. What is j?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 888200.8 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1690*g + 235. Let c be s(1). What is the highest common divisor of c and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y*y)**(-6) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071891752 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -334*a**2. Let n(z) = -5*z**2 - 13*z - 338. Let c(k) = -k**2 - 3*k - 78. Let r(m) = 26*c(m) - 6*n(m). Calculate b(r(i)).\nAnswer: -5344*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 8*h + 3*h to d*h + g and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 22*m**2 - 2 + 22*m**2 + (11*m + 38*m + 9*m)*(-m**3 - 3*m + 3*m).\nAnswer: -54*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m*m**(3\/7))*m**(-2)\/m**(-3\/4) assuming m is positive.\nAnswer: m**(-159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 4*w**2 + 0*w**2 + w. Calculate i(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2410744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 2, j: 2, t: 1, i: 3, f: 4}. What is prob of sequence tij?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 125*r**2 + 840*r - 720.\nAnswer: 5*(r - 12)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(11) - 2*sqrt(1584) - sqrt(11))**2 - (sqrt(110)\/sqrt(490))**2).\nAnswer: -931359\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 + 179. Suppose b = r - 114 + 105. Solve -r = -4*t + 2*s - 5*s, 4*s = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/180 and 121\/16200.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**22\/f)**(-3\/23) assuming f is positive.\nAnswer: f**(-63\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 57. Let s = -3980 - -31787\/8. Calculate the common denominator of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044992646?\nAnswer: 2, 1022496323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15.623 times 27.1\nAnswer: -423.3833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 17 + 6 = 3*k, 2*k = w - 12. Suppose 0*h + 8 = w*h. Sort 5, h, 3 in ascending order.\nAnswer: 3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297 + 296.8. Let x = 62 - 31. Let w = 30.5 - x. Which is the closest to 8? (a) m (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 0. Suppose 131 = 5*i - 4*y - 114, 3*i - 147 = -5*y. Suppose 8*b + 1 - i = 0. Solve b*x - x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5915, -47253, -159451, -377939, -738147, -1275505, -2025443?\n\"Answer: -5905*u**3 - 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 16, l: 3, t: 1}. Give prob of picking 2 m, 1 t, and 1 l.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 - 9*c - 8. Suppose 0 = -k - k + 4*o + 8, -2 = -2*k + o. Suppose 0 = -4*s - 3*m - 13, 4*s + 33 = -k*s + m. Is z(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14*o + 1. Give q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:45 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 397764561 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -258, -311, -364, -405, -422, -403?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146428242426654 + t**3 + 146428242426654.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*s + 5*t, 5*s = -4*t + 22. Let v(y) = 4*y - 25. Let g be v(20). Suppose 0 = s*d - 7*d + g. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70242002 by 29.\nAnswer: 2422138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5256*a + 73. Let w(x) = -292*x + 4. What is 4*l(o) - 73*w(o)?\nAnswer: 292*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2. Let v(x) = -3*x**2 - 4*x. Let p(r) = -3*r**2 - 3*r. Let f(h) = 4*p(h) - 3*v(h). Determine f(b(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 - 17350154.\nAnswer: -17350331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -852 + 5996\/7. Let g = 481 - 1441\/3. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 + 607. Let p = -1523 + 1627. Let u = r - p. What is u rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = m - 5*m - 39, 5*u + m = 59. Let a = 27 - u. What is the smallest common multiple of ((-24)\/18)\/((-4)\/66) and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -4\/11, -27?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h + 32*h - h**3 - 1 - 16*h to y*h**2 + n*h + d*h**3 + r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11182 (base 9) to base 5.\nAnswer: -214240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1.79, 1\/6, 2, 1 in decreasing order.\nAnswer: 12, 2, 1, 1\/6, -1.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -50*v**2 - 9*v + 5. Let k(j) = 24*j**2 + 4*j - 3. Let u(d) = 4*b(d) + 7*k(d). What is the second derivative of u(o) wrt o?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 + -17.53177?\nAnswer: -276.53177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 35651.56t?\nAnswer: 35651560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1645098 and -0.142.\nAnswer: 1645097.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 - 3*l - 27. Let y(i) = -5*i**2 + i + 14. Let p(d) = 3*g(d) + 5*y(d). What is the remainder when 82 is divided by p(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -104 (b) -320\/13 (c) -3\/2 (d) 1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -137019435 divided by -27403887\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 6)\/(3\/(-11)). Let y = 129 - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 <= 987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990*o**2 - 641*o**2 - 504*o**2.\nAnswer: -155*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2465649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**3 - f + 1. Let p be h(2). Let x = 56 - p. Let b = -23 - x. Solve -3*t + 2*u = -b, 2*u = t + u - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17 + 698*r**2 - 2607*r**3 + 3792*r**3 - 17 wrt r.\nAnswer: 7110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20355 and 10045.\nAnswer: 40893195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 0.1, 1\/3, -327, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-33) + 4\/22. Let j(f) = f**3 - f**2 + 14. Let o be j(t). Let h = o - 4. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*q - 2*j + 31, -2*j + 19 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28132001 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 12487, 24988, 37507, 50050, 62623, 75232?\n\"Answer: k**3 + 3*k**2 + 12485*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436185 by 405.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 3.25.\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/60 + a**4\/8 - a**3\/6 - 3*a**2. What is the tens digit of c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 14}. What is prob of sequence eey?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80986030*f**3 + 562*f**2 - 41516 wrt f?\nAnswer: -485916180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/261 - (-52)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8196 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 0*r + 2*r + 3*r - 2*r - 4*r + (-2*r + r + 3*r)*(1 + 3 - 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525278 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117863 + 3226.83.\nAnswer: -114636.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1\/3, 32993, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (-7 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.529 - -1?\nAnswer: 11.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 467751772.27 from -0.06.\nAnswer: -467751772.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010588849 rounded to seven decimal places?\nAnswer: -0.0010589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 10, 5*u = -4*r + 5390 - 1304. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 4*g, 2*g - 6 = -3*o - 0*g. Differentiate b**2 - b**o - 158 + 2*b**3 - 71*b - 7 - 3*b**3 wrt b.\nAnswer: -3*b**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*-3 + sqrt(76))*-4 - sqrt(76)) + sqrt(76))\/(sqrt(4) - sqrt(16)\/(sqrt(4)*3)).\nAnswer: -21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40796, 84569, 128352, 172151, 215972?\nAnswer: 259821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/180 and -34\/52519935.\nAnswer: 630239220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819722*m**2 - 475*m**3 + 473*m**3 - 819722*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2139 + 2027 = 0. Which is greater: 153\/10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.69 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w. Let k = -6 + 34. Let g be (21\/k)\/((-1)\/(-8)). Is o(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -10. Let m = -10.9998 + q. Round m to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-1*sqrt(8)) - ((sqrt(3) - sqrt(18)\/(sqrt(6)*-3))**2 - sqrt(3)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 20. Let x(n) = 4 - 31*n + 10 + 82*n - 41*n + 7. What is the tens digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 132*y - 2104. Let u be o(-28). Let t be (10\/(-4))\/(1\/(-16)). Calculate the highest common factor of u and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:47 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/23 (b) -2\/5 (c) 1 (d) 2150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -408 + 427. What is the remainder when 37 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 7.1. Let y = 3 + l. What is the closest to y in 1\/7, 1\/4, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 - 410*o\/7 - 2388\/7 = 0. What is o?\nAnswer: -199, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1563758 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0204 * -27\nAnswer: -0.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -29792732?\nAnswer: 29792740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from rrbrrkrbrrekerek?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a - 4*a. Let l be (a - -3) + -1 - 0. Let o(w) = 10*w**2 + w + 2. What is the tens digit of o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35631 * 0.03518\nAnswer: -1253.49858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570862507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 4 = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378, 1386, 1406, 1444, 1506?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45084 (base 9) to base 7.\nAnswer: 153235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -z - 4 - 7, -3*k + z = 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*d + 51*d - 91*d + 38 to a*d + j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3772494 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 61*f**2\/2 + 12639*f\/4 - 25785.\nAnswer: -(f - 60)*(f - 9)*(f + 191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 - 10 = 0. Solve 8*i = 3*i - 5*q + 5, 3*i - 3*q - s = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569531.154 rounded to the nearest 1000?\nAnswer: 3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4 + -464)*(-3 + -53). Suppose 0*r + 5*l + 26097 = 4*r, -4*r + a = -4*l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*n = -18 - 75, -5*w = -5*n - 120. Let d = w - 18. Suppose 2*g - a = -4*a + d, -a = 2*g - 11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 24*r**2 - 106*r - 180. Give b(28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500)*-3)\/(sqrt(49)\/sqrt(7)*6).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 6*m**2 + 15*m + 19. What is b(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.3, 2, -0.3, -0.1, -298?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -653*w**2 + 21549*w + 57. Calculate i(33).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 13?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 - 313. Is -1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7473\/1040 - -3\/208. Suppose 0 = -3*q + 217 + 113. Let s = 305\/3 - q. Find the common denominator of v and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107280234 divided by -18?\nAnswer: -5960013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42587, 85155, 127727, 170309, 212907, 255527, 298175?\nAnswer: 340857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30955 is divided by 309?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027134626 rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/52 - 1\/26. Put 2, m, 1\/2 in decreasing order.\nAnswer: 2, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = 13 + 17 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1761112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 6*t**2 - 2*t**2)*(8 - t - 8) - 2*t**3 + 0*t + 0*t + (1 - t - 1)*(4*t**2 + 0*t**2 - 2*t**2) - 1 + 1 + t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7852183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)*b*b**(-1\/10)*b\/(b\/(b\/b**(-1\/7)*b))*b**2*b assuming b is positive.\nAnswer: b**(1339\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 22, 14, -14, -68?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5079984 divided by -12?\nAnswer: 423332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1357, -1359, -1363, -1369?\n\"Answer: -w**2 + w - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*s - 171*a + 166*a, 4*s = -5*a - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*c - 43 = 107, 487*c - 482*c = -253 + 53 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -3, -56920 in ascending order.\nAnswer: -56920, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 18372 = 4*z, -52*z + 47*z - 2*g + 22963 = 0. Is 68 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + -7 + 2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257 - 24437?\nAnswer: -24160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -18?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 11308043 + 11308043.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - (sqrt(84) - (sqrt(84) + (3*sqrt(84) - sqrt(84)))))*-3)\/(2*sqrt(192) - sqrt(972)*1).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2411566190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 94*t**2 + 6*t - 3. Let r(s) = 2*s**3 - 63*s**2 + 4*s - 2. What is -5*o(x) + 7*r(x)?\nAnswer: -x**3 + 29*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3 + 3)*(0*v**3 - 23*v**4 + 0*v**3 + (0*v**2 + 3*v**2 - v**2)*(v**2 + v**2 + 0*v**2)) - 2 - v**5 + 2.\nAnswer: 37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1285?\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t**2 - 1. Let l(r) be the second derivative of 2*r**3\/3 + 2*r - 75. Calculate l(k(v)).\nAnswer: -44*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 + 15 = 0. Let j = u - -13. Let q = -14 + 36. What is the remainder when q is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsdcdddddddsqdd. What is prob of picking 3 s and 1 c?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42969 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) -3\/2 (c) 1 (d) -454 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Let c = -0.368 - -0.068. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x**2 - 24*x + 36. Let p(t) = -1. Let n(m) = 6*p(m) + v(m). Is 11 a factor of n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237000 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5 + ((-1)\/2 - 1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1821\/2 - -909. What is the second smallest value in 4, q, -2, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -2*a, 2*a - a - 33 = -5*f. Calculate the smallest common multiple of f and 8\/3*(-13 + 16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/6)\/(6\/9 + -1). Let i = -21\/8 + 23\/8. What is the smallest value in i, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(7\/1)*2*(-12)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02534 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -4. Suppose 0 = -2*w - 4, 0 = 12*p + 4*w + 1507 - 1439. Which is the third biggest value? (a) 68 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let b(z) = -5*z + 21*z - 56 + 56. Calculate b(m(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -1*sqrt(405)) - 1*(-1*sqrt(405) + -1 - sqrt(405)))**2.\nAnswer: 2646*sqrt(5) + 20286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/4117958 and -14\/451971.\nAnswer: 37061622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgaavgvpvvgagvjgjp. Give prob of sequence apva.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/5*(15\/(-6))\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 15*q**2 + 207*q - 2485. What is o(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.0795 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.33 or 0.1?\nAnswer: -11.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1)*5\/(-15). Suppose -h - 1 = -w, -w + 3*h - a = w. Suppose 0 = -2*i - 5*o + 5 + 9, -o = -5*i + 8. Solve 13 = -i*s + w*b + b, 20 = -4*s + 4*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3508*j - 5545. What is u(2)?\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/14 + 6 + -5.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 - 2*f**3\/3 + f - 2. Let q(b) be the third derivative of -b**5\/60 + b**3\/6 + 2274*b**2. Give -4*q(l) + x(l).\nAnswer: -l**3 + 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 times 642122?\nAnswer: 68707054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/(2\/(-60)). Is 32\/v*(-25)\/(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007167914 to seven decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 - 163. Let j(d) be the first derivative of 3\/8*d**2 + t - 1\/2*d - 1\/12*d**3. Factor j(a).\nAnswer: -(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4440121 - 373378.\nAnswer: -4813499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210212022211 (base 3) to base 2.\nAnswer: 1101001000100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-18) - (-2 - (-546)\/(-176)). Let h = 203\/264 - w. Let d = 2 - 2. What is the closest to d in h, 12, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-45))\/((-2)\/10). Let c be h\/9 + (-125)\/(-45). Is 5 a factor of (1\/c)\/(2\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*x - 1041*x + 2736 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/32*-4 - (-8 + 612\/32)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 5. Let c be y(-9). Let m be 5\/(-60)*3 + (-9)\/(-4). Solve s = 5*x - m, -2*s = -c*x + 2*x - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**4 + 2010996*m**3 - 16087642*m**2\/5 - 39817728*m\/5 + 65155752\/5 = 0. What is m?\nAnswer: -2, 9\/5, 201098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 3)*(8*n**3 - 8*n**3 - 4*n**4) - 2*n**4 + 3*n**4 - 2*n**4.\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1810706*m**2 + 1668558?\nAnswer: 3621412*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 2, 33, -1 in ascending order.\nAnswer: -2, -1, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2197*g**6\/8 - 507*g**5 - 975*g**4\/16 + 355*g**3\/2 - 105*g**2\/2 + 6*g - 34. Solve f(d) = 0 for d.\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 12*l**3 + 7*l**3 - 22*l**3 to the form o*l**2 + k + s*l**3 + j*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5049 minus -4?\nAnswer: -17.5049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297573.\nAnswer: 3, 99191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -3, 96?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1467141*y = 1467187*y + 1518 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-30))\/(38337\/39320)?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2786*l - 2793*l + 2*l**3 + 5579*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let k be (-2)\/(-24)*0 + (6 - 2). Let w be (u - (1 + (1 - k))) + 3. Solve o + 11 = -6*h + 3*h, -3*h - 3 = w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -1) + ((-711)\/81 - -14). Which is the third smallest value? (a) 1\/3 (b) w (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -8\/5, 0.5, -1\/160, -1\/2, 2\/5?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (429\/26)\/((-405)\/(-54)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 10*p - 5*w + 11885 = 0, 4*p + 3*w - 9511 = 0. Suppose -p = -0*y - 2*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x. Let a(s) be the third derivative of -s**4\/8 + 43*s**2. Determine a(n(m)).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 26*o**3 - 8*o**2 - 10. Let i(j) = j**2 + 1. Let y(w) = 40*i(w) + 4*z(w). What is the third derivative of y(b) wrt b?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21546073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2867 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 36 + -19 + (-3 - (7 + -3 + -6)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 9 - 5*d - d + 13*d. Determine q(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -435860 or -435956?\nAnswer: -435860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -7, -1309 in increasing order.\nAnswer: -1309, -7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 4.3. Let o = -2 + 0. Let j = o - -2.5. Put q, j, -1 in increasing order.\nAnswer: q, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + sqrt(448)*-4 + 1.\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 12, -570, 1 in increasing order.\nAnswer: -570, -45, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -202301?\nAnswer: 202232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -2181405195599?\nAnswer: -2181405195600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 65 = -5*y + 9*y, 2*t = 2*y + 44. Let l = 44 - 44. Sort t, l, -2, -5 in decreasing order.\nAnswer: t, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1841817l?\nAnswer: 184.1817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = 5*a - 57, -a = 3. Suppose -2*b - 2*j = 2*b - t, 3*b = -4*j + 11. Solve -4*i + n = -b, 12 = i - 3*n - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07658 times 0.123\nAnswer: 0.00941934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 1982 - 17*r**2 - 17*r**2 + 15*r + 33*r**2.\nAnswer: -r**2 + 11*r - 1982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -71 + 7. What is the third derivative of 15*c**2 + a*c**3 + 13*c**4 - c**3 - 14*c**4 wrt c?\nAnswer: -24*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n + 24*n + 25*n + 279*n**3 + 1644*n**3.\nAnswer: 1923*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.75208 litres to millilitres.\nAnswer: 52752.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.6, -266, 0.4, 3, -86.26 in descending order.\nAnswer: 3, 0.6, 0.4, 0.2, -86.26, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -1\/3*w**3 + 1\/2*w**4 + 0*w**2 + 3 + 0*w - 1\/5*w**5. Factor y(h).\nAnswer: -h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1165043 <= -1165037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*p + p**4 + 6*p**3 + 4*p**2 - 5 + 19*p - 12*p = 0. What is p?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1103 or -1106?\nAnswer: -1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 41*s + 11*s + 14*s + 13*s in the form p*s + b and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(503 - 503 - 29*x**2 + (-2 - 2*x + 2)*(-3*x - x + 3*x) + 2*x**2 - 4*x**2 + 4*x**2) in the form k + j*x + f*x**2 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(168)\/sqrt(3) - sqrt(224)*-6)\/(-1*sqrt(288)*3*-6))**2.\nAnswer: 1183\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*t + 184, -3*t = 31*m - 32*m - 150. What is the remainder when t is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1828 + 1078. Let v = 350 + i. Let m = -12402\/31 - v. Which is the closest to -0.1? (a) 1\/3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/17))**(-6\/11)*(j\/j**(-3\/34))**(-18) assuming j is positive.\nAnswer: j**(-3681\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149715 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 421*z - 4204. Give i(-10).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3498 + 24496\/7. Which is the fourth biggest value? (a) g (b) -1 (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3060)\/(5 + -8) - (-6)\/(-2)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 - 120. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 f, and 1 n when four letters picked without replacement from {m: 5, b: 1, t: 1, f: 3, n: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1129083 or 1129061?\nAnswer: 1129083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 11*b**2 + b + 13. Let n(u) = -u**3 - u**2 - 1. Let d(g) = -3*n(g) + p(g). Suppose 4*i + 93 = 37. Let a be d(i). Solve -5*s = -a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 + 12. Let t be x(5). Let c = 290 - t. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = f + 2, -2*d = 3*f + 32. Let w = 19 + f. Suppose -x = -w*x - 2*h + 102, x - h - 24 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 + 16*p**3 + 22*p**3 - 30*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21317.934us?\nAnswer: 0.0003552989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128, -127, -126, -125?\n\"Answer: r - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 183, 4, 5.\nAnswer: -1, 4, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 161992396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**2 - 11307*p + 144963.\nAnswer: 3*(p - 13)*(4*p - 3717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*g + v - 142, g = 3*v - 74. Let j = 69 - 133. Is j smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306 - 5?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84499.66 centimeters in micrometers?\nAnswer: 844996600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -42. Suppose 0 = -j + 6*j - 95. Solve 4*s = -4*p + 16, y*s + 11 + j = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752348551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 308494007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2909, 14890, 34857, 62810, 98749, 142674, 194585?\n\"Answer: 3993*x**2 + 2*x - 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**3 - 15*o**2\/2 + 425*o. What is y(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112112 - -12?\nAnswer: -1112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104421 - 2?\nAnswer: -104423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 73. Suppose -15*a + 12*a = -s. Solve 5*n + a = -13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2 + (-1)\/3*0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13 - 13 - 39*n**2 - 2*n**3 + 0*n**3 to the form a + m*n**3 + f*n**2 + g*n and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 278200 + 1420601 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(1000))\/(sqrt(8) - (sqrt(648) + -2*sqrt(648) - sqrt(648)) - (sqrt(72)*4 - sqrt(8))).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*u - 351*u - 67*u - 18*u - 132*u to o + r*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 + t - 1. Let a(r) = 4*r - 17. Let x be a(5). What is the units digit of o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(36) + sqrt(2916) + sqrt(2916)*2 + sqrt(2916))\/sqrt(12) + (-1*sqrt(363) - (1 + sqrt(75))))**2.\nAnswer: -42*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6477670 and 89\/2515600?\nAnswer: 259106800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, p: 2, f: 3}. Give prob of sequence fpx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114) - (sqrt(4114) + 6*-6*sqrt(4114)))\/(2*(sqrt(200) + (-1*sqrt(200) - sqrt(200)))).\nAnswer: -99*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((-11 - 5 + 8)*(0*u - u + 2*u) + u + u - 4*u) + 0*u + u - 3*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:58 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + -1) + 2)**2*-2.\nAnswer: -2156 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*w - 40*w**3 - 225*w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910618053.\nAnswer: 3, 303539351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4220 + 4730. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g - 9. What is f(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/11, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 298 = 178. Suppose -y*k - 3*i + 6233 = 0, 7*i - 9*i - 8 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04478160127 - 0.3?\nAnswer: -0.25521839873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33464.65805 rounded to the nearest integer?\nAnswer: -33465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c. Suppose c*y = 4*y - 72. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3302257.31 to the nearest 1000.\nAnswer: -3302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - ((-8 - -4 - -6) + -41 + -27).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*j + 147*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzs when four letters picked without replacement from zzszzzzzzzsz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11218, -22446, -33674, -44902, -56130?\n\"Answer: -11228*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*-3 + 3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -21 - (-5 - 6)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183888301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 388082176 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126526 and 6172?\nAnswer: 253052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162c (base 15) to base 13.\nAnswer: -2229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 5988597?\nAnswer: 5988597.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/24 + 1)\/((-4)\/(-3)). Determine i, given that 0*i - 1\/4*i**2 + l*i**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 8. Calculate the remainder when w(-6) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -2. Suppose -7*u + 2*u = -k. Put u, 2, -4 in ascending order.\nAnswer: -4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 364*r + 365. Give l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 21*q**2 + q - 26. What is v(21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(170) - 2*sqrt(170)*6 - sqrt(170))\/sqrt(10))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3599804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*a**3 + 2257*a**2 - 769*a**3 + 255*a**3 + 262*a**3 as z*a + y*a**2 + l*a**3 + n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.89751 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + (0\/14)\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100.12775424974 + -0.05949177974. Let j = -11.93174243 - y. Let u = j - -112. What is u rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 284 + 276 = d, 0 = c - 2*d - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 16*v + 2. Let w be t(16). Let c(l) = 1 + 3*l - l**w - 3 + 17 - 8. Suppose -p - 10 = 3*k, -5*p - 5*k + 0*k = 0. Give c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 155*s**2.\nAnswer: -5*s**2*(s + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 3*s. Give x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -538*o**2 + 1086*o**2 - 25 - 547*o**2 + o. Let k(c) = c**3 - 7*c**2 + 8*c - 12. Let a be k(6). Determine d(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019029949 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-6)\/(-4)*-1. Let h be c\/(-27) - 8\/(-126). Let x = 5.31 + -0.31. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 4*x + 2*x)*(-40*x**3 - 59*x**3 - 1366*x**3) as t*x**4 + z*x + a + v*x**2 + b*x**3 and give t.\nAnswer: 2930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01568244833 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13644 + 13708. Solve w*j = 50*j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -536903.119 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66)*-2*-5 + 5*sqrt(66)*1)\/(2*(sqrt(294) - sqrt(294)*2)).\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1707239533 divided by -83\nAnswer: 20569151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7 - (173 + -191) - -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/32 and -39\/88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -165*g**2. Let d(o) = 5*o**2. Calculate l(d(b)).\nAnswer: -4125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 5*j**5 + 3*j**5)*(-6 + 4 + 0) + (-2*j + j + 3*j)*((14 - 14 + 3*j)*(2*j**3 + 0*j**3 + 0*j**3) + (-2*j**3 + 0*j**2 + 0*j**2)*(0 + 2*j + 0)).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 - (-13)\/5. Let v = a + 3. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y + 14. What is the smallest common multiple of 12 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1180548 by 102.\nAnswer: 11574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -0.3, 1482.1, 551?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 498829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 48.98.\nAnswer: 48.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 3*w**3 - 2*w - w + 3*w.\nAnswer: -3*w**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n**3 - 38*n**3 + 84*n**3)*(2 + 2 - 2).\nAnswer: 130*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*p + 42*p + 44*p)*(5*p + 0 + 9 - 4*p + (2*p - 6*p + 2*p)*(0 + 1 + 2)) to b*p + l*p**2 + d and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318684.\nAnswer: 2, 329671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/9 - 58*t**4\/9 - 4*t**3\/9 + 116*t**2\/9 + 2*t\/9 - 58\/9 = 0?\nAnswer: -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*u - 112, -5*u - 120 = -q - q. Suppose -4*s - 1320*f + 310 = -1319*f, -4*s - 4*f + 340 = 0. What is the greatest common factor of s and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -32*r**5\/5 + 816*r**4\/5 - 2578*r**3\/5 + 2546*r**2\/5 - 168*r + 88\/5 = 0.\nAnswer: 1\/4, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwswwwwmkwlww. What is prob of sequence ws?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 7\/2, 5\/6 in ascending order.\nAnswer: 5\/6, 7\/2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -2) + 2 + -7 + 42 + -1 + -25.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/70*5*2\/24\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846 is divided by 146?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 z when three letters picked without replacement from {g: 10, e: 1, z: 4, n: 2, y: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11749 is divided by 2462.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**2 - 34 - 28 + 99 - 37.\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 161, 403, 825, 1475?\nAnswer: 2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 + 511 = 7*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -39, -49?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 17*d - 15. Let m(w) = -w**2 + 8*w + 8. Let s(t) = 9*m(t) + 4*o(t). Let q be s(6). What is the units digit of (3 - (2 + q))*53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340657210?\nAnswer: 2, 5, 97, 149, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 5*m**2 + 2*m + 1. Calculate f(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-4 + (6 - 2) - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 29*a**2 + 3*a - 9. Determine w(-5).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 46. Let s = x - 12. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 325400.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*u = -4*u - 18, 0 = -3*u - 15. Let x(g) = -g**3 + 5*g**2 + 0*g**w - 2*g + 0*g**3. What is the smallest common multiple of 6 and x(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2916\/5 + 5778\/5*h - 3584\/5*h**2 + 98*h**3 = 0.\nAnswer: -2\/5, 27\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaatattaa.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z - 3*z)*(z**2 - 2*z**2 - 1 - z**2 - 3*z).\nAnswer: 4*z**3 + 6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -s + 11, 2*h + 6 = 0. Let m(i) = -3 - 3*i**2 + 2 + i**3 + 2*i**2 + i - 2*i**s. Give m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 261\/135 + -6 + 6 - 2. What is the fourth smallest value in -2, m, -3\/2, 1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6253632 and 53928?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 40967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1042 + 1056. Is 37 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 87*r**2 - 44*r + 2. Let i be w(-44). Solve i*q = -2*g + 10, 51*q - 47*q = 3*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022709651 to six dps.\nAnswer: 0.002271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(21\/(-6)) + 0 + -784. Let l = -112400\/143 - v. Let p = -133\/715 + l. Which is the third smallest value? (a) 0.8 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-162)\/(-42) - 2\/(-14). Let b = 11 - 31. Let p = b - -22. Solve -3*f - 2 = p*a - 0*a, 0 = -2*f - 4*a + n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = -5*t - 3*t - 95 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/171 - -16825\/8892. Find the common denominator of t and 23\/6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*2\/7)\/26*3\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Suppose -3*d - u*f - 27 = 0, -2*d - 3*d - f - 23 = 0. Sort 0, 0.3, d.\nAnswer: d, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2299850402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*o**4 - 76429*o**3 - 2*o**2 + 16871642 wrt o?\nAnswer: -60*o**3 - 229287*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 62, 64?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-4)\/(2 + (-304)\/148). Suppose -l + o = -g, -4*l = -18*g + 16*g - 304. Calculate the greatest common divisor of 117 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/6768*-16*3\/(-13)*-1?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -95*y**4\/16 + 31*y**3\/4 + 24*y**2 + y + 88. Suppose t(g) = 0. What is g?\nAnswer: -1, -2\/95, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7593168, 7593182, 7593196?\nAnswer: 7593210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120002 (base 4) to base 14.\nAnswer: -7bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 + 7*m + 47. Let h be c(7). Put h, 5, 1, 2\/5 in decreasing order.\nAnswer: 5, 1, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 27. Solve -2*h = -c - 15, 7 = 2*c + 4*h - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8946 is divided by 5878.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113562 divided by 12618.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**3\/7 + 74*z**2\/7 + 31*z\/7 - 5.\nAnswer: (z + 1)*(2*z - 1)*(4*z + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19026.67 milliseconds in nanoseconds?\nAnswer: 19026670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - 210?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672992 to the power of 1\/2, to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-4)\/(-6)). Let i be (-2 + a)\/((-5)\/(-85)). Let v = -10 - i. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 + 2*d**3\/3 + 5*d**2\/2 + 5*d - 16. What is the remainder when 18 is divided by f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109318845311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.78, -2\/3, -3, 0.3, 1.5, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54536\/(-40)*-6 - ((-18)\/30 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54057304 and 9548.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170 + 126 + 44 - 17447*l to the form t + m*l and give m.\nAnswer: -17447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -30. Are 1\/3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-33)\/(-33))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 6) + -19 + 11 + -15 + -11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/72 + -3 + 220\/18. Suppose -1603 = m*c - 16*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12362034 and -499?\nAnswer: 12361535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10290, -8439, -6578, -4707?\n\"Answer: 5*q**2 + 1836*q - 12131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + b - 14 = 0, 34*o = 30*o - 9*b - 38. Solve -11 = 3*u + 5*k, -40*k = -4*u - 36*k - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -571969 by -21.\nAnswer: 571969\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 + -663\/5. Which is the nearest to g? (a) 2\/21 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021821277?\nAnswer: 1181, 865217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -613\nAnswer: 143\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8503 less than -22?\nAnswer: -8525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((1 + (sqrt(275) + -1 - sqrt(275)))*1 + 4 + -4 + 0 + sqrt(275))**2).\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, -0.1, 58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 276*a**2. Let q(o) = 3*o. Give q(s(b)).\nAnswer: 828*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728297 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58200155 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -2*sqrt(63))*-6 - (-5 + (2 + sqrt(112) + sqrt(7) - sqrt(7))) - (sqrt(8064)*-2)\/((sqrt(392) - sqrt(8))*-4))**2.\nAnswer: 150*sqrt(7) + 4384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -338*g*u - 19180428*g + 37182*u wrt u?\nAnswer: -338*g + 37182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-9 + (-2 - 2) - -27) - 24\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + ad?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 13*p**2 + 21*p + 18. Give m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -234. Let y = x - -413. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -696861923*h**4 - 16*h - 14113265 wrt h?\nAnswer: -8362343076*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 4)\/(6\/(-4)). Let p be -14 - 0*1\/a. Let f = 27 + p. Calculate the highest common factor of f and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*u - 4*o, 2*u = o + 7 - 2. Suppose 4*g + 7*k - 2*k + 144 = u, 3*g = -3*k - 105. Is g bigger than -154\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p\/(p*p*p**(-2\/49)\/p)*p))\/p*p\/(p*p\/(p*p\/(p**28\/p))))\/(p**(-6\/11)*p*p*p*p**(8\/7)*p*p) assuming p is positive.\nAnswer: p**(-17053\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 4, -2\/7, 6.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6498*g**5 + 1033638*g**4 + 39547862*g**3 - 125128662*g**2 - 8926848*g - 157464 = 0. Calculate g.\nAnswer: -81, -2\/57, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337481 is divided by 33437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*4\/(-5) + 0. Is r <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -683.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 16338.89 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/5 + 5*b**4\/4 - 5*b**3\/3 - 5*b**2\/2 + 6*b + 75. Let g(d) = 0. Calculate d.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*r - 88*r + 175*r - 89 - 2*r**2 to the form l*r**2 + j + b*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*t**3 - 77*t**3 + 3 + 36*t**4 - 35*t**4 + 153*t**3 - 14 to y*t + k + j*t**2 + h*t**3 + d*t**4 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190 + 195. Suppose -819 = z*i + 641. What is i rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**2 - 612*z - 317. Calculate u(-76).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5*q**3 + 1272*f**3*q**3 + 160*f**2 + 30*f*q**3 wrt f?\nAnswer: 60*f**2*q**3 + 7632*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Is 81929551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289.02 - 286. Let l = r - 0.02. Are 1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4 + 55\/15). Let o be (-9)\/(p - 6)*(-40)\/(-15). Suppose 5*a - 35 = -3*t, o*a - 6 = 4*a + 2*t. Solve -h + a = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(200) + sqrt(200))*2.\nAnswer: 5 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 13. What is the remainder when 40 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*w + 4*q = 7, 4*w + 2*q = 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/5 + 118*u**3\/5 + 677*u**2 + 12156*u\/5 + 2340 = 0.\nAnswer: -75, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22232 (base 6) to base 14\nAnswer: 11c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 2*c + 5*h, 4*c + 4*h - 626 = 2*h. Suppose 5*t + 4*y - 258 = 0, 13*t - c = 10*t - 3*y. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/14*(17 - 111\/9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -19*i**3\/6 - i**2 + i + 1. Let w(z) = 2. Let c(v) = q(v) + w(v). Let a(l) = -3*l. Give c(a(h)).\nAnswer: 57*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -143002, -286004, -429006?\n\"Answer: -143002*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 47 = -23. List the prime factors of (-251522)\/(-209) + h\/(-11).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + -283. Let a = y - -415.927. Round a to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 12:24 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158981?\nAnswer: 158981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w - 114. Let p(f) = -16*f - 249. Let t(r) = -9*l(r) + 4*p(r). Let c(u) = 2*u**2. Give c(t(q)).\nAnswer: 128*q**2 + 960*q + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 540.2 + -541.2. Is -2\/1235 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 1869.\nAnswer: -112.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 - -4)) + 3 + (40 - 7) + -38.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 13*a + 20. Let g be b(-9). Let p = g - -409. Suppose 3*f - p = 168. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x + 5. Let q(n) = -15*n - 11. Let r(z) = 9*k(z) + 4*q(z). Let b be r(5). Solve m + 2*a = -3*a + b, 2*a = -2*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -14\/3*o**3 - 13\/12*o**4 + 0*o - 81*o**2 + 0 + 1\/30*o**5. Factor n(g).\nAnswer: 2*(g - 14)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 + 3*b + 2. Let i be x(-2). Suppose -2*s + i = 26. Find u such that -4*u**2 + 6*u**3 - 4*u**3 + 6*u**s - 8*u + 0*u**3 + 4*u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/12)\/(1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181345.\nAnswer: 5, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/30 + h**4\/4 - 3*h**2. Is 11 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 44.1. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100101111011011011 (base 2) in base 5?\nAnswer: 333403300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -785 divided by 157?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 19 = -3*b - 12*f, 4*b - 4*f - 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2\/7 - 45498*t\/7 - 5311620\/7.\nAnswer: 6*(t - 7698)*(t + 115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4250 + 4247. Sort j, -2.45, 1\/5 in increasing order.\nAnswer: j, -2.45, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 259499355 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.28046ml in litres?\nAnswer: 0.08828046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/((f*f**(1\/19))\/f))**(2\/49) assuming f is positive.\nAnswer: f**(54\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:09 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**3 - 66*y**2 - 5*y + 56. What is s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*f = 63, -256 = -2*p - 2*p + 4*f. Suppose -4*g - 526 = 3*x + 480, 0 = g + 4. Calculate the remainder when p is divided by (x\/88)\/(10\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -401\/4 less than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120011030 + -4?\nAnswer: 120011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*(-1)\/(-5). Let o be 4 - 5 - (-12)\/2. Suppose 4*r = o*v, r = -0*r - 4*v. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, q: 1, n: 1, d: 2, s: 1}. Give prob of sequence nl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 8*g + 10. Let i(t) = t**2 - 9*t - 1. Let d be i(9). Let p be (-2)\/((-3)\/(-6) + d). Suppose -4*o + m = 28, -p*m = m. Determine j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-60))\/(2\/26). Are m and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -489, -428, -367, -312, -269?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3661 in 2\/7, 1.9, -0.2, -1, 5, 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113\/8 - -14. Let t(f) = 11*f**2 - 7*f + 27. Let d be t(6). Let j = d - 381. Is i greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475930502 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -371 or -372?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0888 + -121.2312. Let a = v + 2.32. Let q = 119.000153 + a. Round q to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 4 + 4)*(0 + 0 - 2*d)*(-1 - 1 - 2)*(-d + 0*d + 2*d).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37071.\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Suppose -y + t*y - 25 = 5*f, -15 = -y + 5*f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let n(l) = 5*l**2 - 2*l**2 - s*l**2 - 2*l**2. Let q(y) = y. What is n(q(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5416245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -155, 3, -3, 0, -5 in descending order.\nAnswer: 3, 0, -1, -3, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h - 4*h = -107, 4*p - 412 = 4*h. What is the highest common divisor of 78 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, -1, 54, -4 in decreasing order.\nAnswer: 339, 54, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h - 2*h**2 + 9 - 3*h**2 + 0*h**2. Suppose -p + 10 = 2*y, 0*p = p + y - 8. Let g be l(p). Solve r + g*r = u + 9, -r = -2*u - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 + -249. Let d = t - -24.6. Which is the closest to -1? (a) 1 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 1. What is the units digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/12 - 3*p**3\/2 - 4*p**2 + 14*p. Give q(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from zowwo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a - 20. Let x(p) = -p**2 + 7*p - 4. Let d be x(6). Put d, a, -12 in decreasing order.\nAnswer: d, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*t - 1662, 0 = b + 2*b + 2*t - 2477. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let t(k) = -2*k - 9. Let r(q) = -2*f(q) - t(q). Suppose l + l = 4. Let i(g) = g + 2. What is l*r(x) - 7*i(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 13*o = -3. Let h be ((-25)\/2)\/(o*(-4)\/8). What is the highest common divisor of 20 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398270870?\nAnswer: 2, 3, 5, 7, 863, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -35*g**3 + g - 1. Let s(r) = r**3 + r**2 - r + 1. Let m(c) = -d(c) - s(c). What is the third derivative of m(t) wrt t?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**2*u**(-4\/3)\/(u*u**(4\/7)))\/(u**(-4\/7)\/u**1)**(4\/9) assuming u is positive.\nAnswer: u**(-55\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*o = 2*v - 186*o - 150, 2*v - 4*o - 54 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 156753.93 months?\nAnswer: 1306.28275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*22.9169.\nAnswer: 275.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 318*j - 10661 = -317*j, -3*j + 14219 = 4*r. Is r not equal to 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 240*p**2 - 5931*p - 44226.\nAnswer: -3*(p + 14)*(p + 27)*(p + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:56 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ome when three letters picked without replacement from {e: 3, w: 2, m: 1, j: 5, o: 3, l: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -137.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/576 and -53\/1608672.\nAnswer: 9652032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1184006 - -58?\nAnswer: 1184064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125.6, -0.4, -3\/22 in descending order.\nAnswer: -3\/22, -0.4, -125.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250) - 2*sqrt(1250))*1)\/(-3*(sqrt(810) + sqrt(810)*-2)).\nAnswer: -5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 - 2220002202?\nAnswer: -2212222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**25*(x\/(x*x\/(x*x\/x**7)))\/x)\/(((x**(-1\/3)*x)\/x)\/x**(-6\/7)) assuming x is positive.\nAnswer: x**(367\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(304) - 2*sqrt(304) - sqrt(304))*-4 + (sqrt(304) + 0)*-6) + 0 + 3 + 2*sqrt(304) + 5)**2*-3.\nAnswer: -58560 + 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 479490*v**5 - 35*v**3 + 121971280*v**2.\nAnswer: 28769400*v**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 8*c + 12*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184 = 8*h + 3*m - 221, -4*m = 4. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12\/l)\/((l*l*l\/l**16)\/l) assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139115 + 2*o**2 + 139115.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -204873549261 less than -548?\nAnswer: 204873548713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**2\/11 + 126*q\/11 - 12 = 0. Calculate q.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -659842, 4, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -139, 137 in increasing order.\nAnswer: -139, -1, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from zzzyzwayw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7430*z**2 + 18946*z**2 + 2136*z**2 in the form t*z**2 + i + w*z and give t.\nAnswer: 13652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9456 - -9444 - (-1 + 24 + 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/15 - (-4)\/90*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*k. Solve 3*m - 4 - 5 = 0, 3*h = -k*m - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + h + 2 - 5, l + 2*h - 4 = 0. Suppose r + 12*y = 8*y - l, 4*r - 4*y - 52 = 0. Calculate the greatest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208? (a) -2\/3 (b) 3 (c) 2 (d) -17 (e) -264\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 3*n = 13*w - 23, -2*n + 18 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1255)\/10*3*2\/(-3). Let d = k - 153. What is the smallest common multiple of 16 and d?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (475 - 0) + -38 + 37 + 3 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaatat. What is prob of sequence at?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1 + sqrt(171)) - (5 + (sqrt(171) - (sqrt(171)*1 - sqrt(171)))) - -3*(sqrt(171) - (sqrt(171) + sqrt(171)*3 + 2 - sqrt(171))))*2*3)**2.\nAnswer: 15552*sqrt(19) + 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -52 - (2 - 5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4452, -4395, -4294, -4143, -3936, -3667, -3330?\n\"Answer: t**3 + 16*t**2 + 2*t - 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/16)\/(3\/(-18)). Let w = 0.3 + 0.1. Let y = 0.1 + w. Which is the third biggest value? (a) 1 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234745136683\/139615724304 + 5938\/935361. Let n = -2\/9329 + w. Let a = 1803\/8 + -226. What is the common denominator of a and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3 - 8) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4489868 is divided by 4489129.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*x + 16, 22 = 5*x - 2*b - b. Let a be (-23)\/(-5) + 4\/10. Let f be a\/4 - (-3)\/(-12). Put x, 4, f in increasing order.\nAnswer: f, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.68 in 0.4, -5, 2, 2\/11, -26, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4939*o + 2349*o + 2591*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d. Let f(s) be the second derivative of -s**3\/3 - 7*s**2\/2 + 3*s. Let o(h) = h + 3. Let y(t) = -6*f(t) - 14*o(t). Give y(q(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289928.3kg in tonnes?\nAnswer: 289.9283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.32.\nAnswer: 5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21360 divided by -1335?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - 2*y**2 + 2*y + 2. Let d = -1323 + 1316. Let r(f) = -9*f**3 + 7*f**2 - 6*f - 7. What is d*h(g) - 2*r(g)?\nAnswer: -3*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r + 11. Let y(s) = 0*s + s + 10 + 3 - 12. Let v(u) = -2*n(u) + 22*y(u). Let h(m) = -16*m**2. Give h(v(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/630)\/(1\/5). Let u(t) = -t**3 - t**2 + 1. Let p be u(1). Sort p, 0.4, o in decreasing order.\nAnswer: o, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 11*g + 66 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -19*p - 2670. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263074963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.887 to one decimal place.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 1.41. Let d = w - 3.9. Let k = 2.4473 + d. Round k to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0)**2 - sqrt(8)\/sqrt(4)*5.\nAnswer: -5*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*u - 173100 + 35756. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1787*c**6\/60 + c**4\/12 - 229*c**3\/3 - 636*c**2. What is the second derivative of h(n) wrt n?\nAnswer: 21444*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 4*o - 20, -339*t + o = -347*t - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4*o**5\/5 + 2*o**4 + 4*o**3\/3 + 47. Solve x(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**4 + q**3 + q**2. Let o(c) = 126*c**4 + 5*c**3 - 143*c**2. Let f(i) = o(i) - 5*t(i). Find the third derivative of f(k) wrt k.\nAnswer: 3144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(17290\/(-27360) + 6\/32)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -33.99. Let m = n + -33.99904. Round m to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 940659729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 6*w**2 + 7*w**2. Let i(p) = 120*p. What is i(n(a))?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let i = 0.1 + -0.1. What is the nearest to i in y, -5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1177889709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 3*s - 225. Let o = s - 97. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + sqrt(3))*-2 - (sqrt(243) - (0 + sqrt(243))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12 (b) -0.4 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8950 and 928.\nAnswer: 4152800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594978 and 16?\nAnswer: 4759824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*j - 163*j - 232845. Suppose -21932 = -5*k - 5*t + 39323, k + 2*t = j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w + 297*w - 66 = 100*w + 99*w for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 12 - 39. Let n(b) = b**3 + 4. Let r be n(0). Solve -r*m + 7*m = -t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 303996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 190*c - 2103. Calculate v(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 21 + (1 + 96 - (96 + -75))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l - 1\/4*l**4 + 1\/105*l**7 - l**2 + 1\/20*l**6 + 1\/30*l**5 + 0 - 2\/3*l**3. Factor n(z).\nAnswer: 2*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 201 = -112*u - 979 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.2. Let w = 0.4 + -0.1. Let s = w - -4.7. What is the biggest value in s, 3, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372619 is divided by 28663.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.468388 weeks to nanoseconds.\nAnswer: 3912081062400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172842 take away -6330?\nAnswer: 179172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 3 (c) -260\/97 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:40 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2681?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k + 3*q, -3*q - 3 = 5*k + 2. Let u be (-1 - -2)*(-30)\/k. Let i = 102 - u. Calculate the greatest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 3, 517 in descending order.\nAnswer: 517, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83928 and 6410270?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5\/2. Let u = 10 + -4. Suppose u - 3 = -3*g. Are h and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Suppose 27*n - 40 = 22*n. Let u(b) = 16*b - 126. Let r be u(n). Solve -2*z + g - i = -5*z, -4*z + g = -r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 - 9*x**2 + 17*x - 684. Let r(w) = -4*w**3 + 5*w**2 - 10*w + 344. Calculate -5*m(c) - 9*r(c).\nAnswer: c**3 + 5*c + 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000877 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 352*y**2 + 5*y + 2. Let x be f(1). Suppose a = x - 210. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/((l\/l**(-2\/3))\/l*l))**(-2\/17)\/((l**5*l**(-3)*l)\/(l*l\/(l**(-3)*l*l)*l**(-2\/9))) assuming l is positive.\nAnswer: l**(104\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*f + 6*s + 27, 0 = f - s - 10. What is the remainder when 20 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 15, 80*q + 14 = -3*v + 79*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38232 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4031 (base 9) to base 12.\nAnswer: -1854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -14, 849 in increasing order.\nAnswer: -14, 97, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -15423*z - 583. Let w(x) = 53*x + 2. Give 6*d(h) + 1749*w(h).\nAnswer: 159*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 4*a - 7. Let n(v) be the third derivative of -1\/3*v**3 + 0*v + 1\/60*v**5 - 1\/24*v**4 + 0 - 30*v**2. Determine 2*d(r) - 7*n(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 4*l**3 + 0*l**3 + (0*l - l - l)*(-4*l + 4*l + l**2) + 3 - 3 - 2*l**3 - 2 - 2*l**3 + 2 - 77*l**3 + 495 - 495)*(3*l**2 + 2 - 2).\nAnswer: -243*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffxffffffffffff. What is prob of picking 2 f?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q + 3 + 5)*(-3*q**3 + 0*q**3 + 2*q**3).\nAnswer: q**4 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 15*p - 30. Let z be l(18). Find the common denominator of 41\/22 and 0 - 1*54\/z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 + -31?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 130*y**2 - 130*y - 2. What is z(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -88926*g + 1067114. What is f(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125320409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12757 times -0.4\nAnswer: -5102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 8*b + 7. Let c(t) = -3*t**2 - 8*t + 7. Let a(x) = 5*c(x) - 4*q(x). Is a(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682010 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5278?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13895.3 + 13895. What is the biggest value in 1\/9, 3, -0.4, v, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = s - 24, -p = -2*s - 20. Let q(b) = 2*b**3 - 48*b**2 - 13*b - 44. Let r be q(23). Let m = r - -1415. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 - 17*a - 20. Determine x(6).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 630611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450062482 to the power of 1\/2, to the nearest integer?\nAnswer: 21215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153*t**5 + 63*t**2?\nAnswer: -9180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/476 greater than or equal to -29\/2177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 35 = -3*b - 0*b, 3*b - i = 25. Suppose -b*j + 576 = -314. What is the remainder when j is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10582 + 1110 = -4*p. Suppose -p = -4*r - 2*w, 2*r = 4*w - 2*w + 1178. Suppose -f = -5*d + f + 597, 5*d + 4*f - r = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -18674500, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4 + 272*r**3 - 19016*r**2 + 68608*r + 215472 = 0.\nAnswer: -2, 6, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kppppkpppp. Give prob of picking 3 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*3*(-2)\/96*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*i - 30 = 0, 0*d + d = 2*i - 6. Which is the nearest to d? (a) 2\/13 (b) -0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -68*v - 23. Determine o(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/6*17\/(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 13250*h**2 + 5084085*h + 530448660.\nAnswer: 5*(h + 219)**2*(h + 2212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 4, x: 2, l: 3}. What is prob of picking 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23824 + -10236.\nAnswer: -10236.23824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -a0e19?\nAnswer: -a0e1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52736352107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -13. Let d = k - 9. Is (-7)\/(d\/(-22)*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + -6. Let w = -24 - f. Suppose -o = -w*o + 252. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*m + 1)*(-6 - 16 - 86)*(-3 - 2 + 4)*(5*m - 3*m + m).\nAnswer: -972*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -25, -2\/13, 869, -4\/7, -38?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*m + 28. Suppose 2*r = 6 - m. Solve 4*d + 2*b + 9 - r = 0, 0 = 2*b + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-13))\/240*4\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649271 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 67 = 4*i, i - 23 = 2*i + w. Let u = i + 16. Let h = -5\/3 - u. What is the third biggest value in -2, h, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19357 rounded to 3 decimal places?\nAnswer: -1.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*j = 0, 4*j + 8 = 4*j + 4*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9521 + -1421. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 14*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441336192.\nAnswer: 2, 29, 97, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 11*i + 2540. Suppose -514 = -4*r + i. Does 34 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -70, -72, -74?\n\"Answer: -2*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 + 144. Let k = -14 + 14. Let n = 4 + -2. Solve k = 2*q - 2*y + n, -z*q - y - 3 = -19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -5*s - 28, 0 = -3*r + 4*s + 22. Suppose -6*z + 3*k + 678 = -r*z, 0 = -5*z - 4*k + 832. Calculate the greatest common divisor of 588 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 = 5*v - 2*z, 4*v - 3*z + 2 = 0. Suppose -7*u = -2*u - 20, -3*g + 3*u = 27. What is the nearest to v in g, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k + 20, 3*k = -4*f + 5. Let i(m) = -m**2 + 7*m. Let a be i(7). Put a, f, -3 in increasing order.\nAnswer: -3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1181*o**2 - 4456*o - 4455. Give a(-1).\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 954.55 or 3?\nAnswer: 954.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0, -0.6, -53, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 + -10. Let q = 7 - y. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oggx when four letters picked without replacement from {o: 10, g: 2, x: 3, h: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 - 1?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20161.22 - 20168. Which is bigger: 10 or r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3746619, -14986568, -33719849, -59946462, -93666407?\n\"Answer: -3746666*t**2 + 49*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a*a*a**7)\/a)\/a)**(-29)*((a*(a*(a*a**3)\/a)\/a)\/a)**22 assuming a is positive.\nAnswer: a**(-166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 - 5*o**2\/2 + 2*o + 5. Let u be t(-5). Is -3 - (-2 + u + -26) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57088456 divided by 8\nAnswer: -7136057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223 - 228 + 447 + s - 2*s to the form y*s + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3915 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**8\/1344 + s**7\/84 + s**6\/12 + s**5\/3 + 5*s**4\/6 + 4*s**3\/3 + 7*s**2. Factor y(i).\nAnswer: (i + 2)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 14) in base 3?\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2335898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193931227 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/10)\/(83\/24070). Solve 0 = 12*g - t*g - 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g - 7. Let n be r(-4). Calculate the greatest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 - 6*l**2 - 11*l - 6. Let c(z) = z**2 + z + 1. Determine 6*c(y) + j(y).\nAnswer: -9*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/2)\/f)*f*((f*f**(1\/9))\/f)\/f)\/(f**11\/f)**(2\/141))**(2\/159) assuming f is positive.\nAnswer: f**(1243\/67257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 15*m**3 - 6*m**3 + (4 - 4 + m**2)*(3*m + 0*m - m) to the form t*m + w + y*m**2 + z*m**3 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 2*h**3 - h**3)*(2*h**2 - h + h) + 12*h**5 - 122*h**3 + 122*h**3 - 2*h**5 + 7*h**3 - 7*h**3.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -684747, -2738998, -6162751, -10956006?\n\"Answer: -684751*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435587\/213 - 2045. Let w = 1568\/639 - n. Is 3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9\/12)\/(3\/324)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135723 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:14 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44216.07l in millilitres?\nAnswer: 44216070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**3 + 3*t**2 - 55*t + 3609 wrt t.\nAnswer: -9*t**2 + 6*t - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*h**2 + 115*h**2 - 7*h**3 + 3*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -685 + 230 - 2*f + 233 + 236. Determine g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.694 + 9.994. Sort 1, -2\/9, -0.2, v in decreasing order.\nAnswer: v, 1, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 72169 = -4*z + 67041, -5*h = 5*z - 173975. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11158*u - 485. Is w(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -310.16 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) -6 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) 2 (c) 5\/4 (d) -3\/5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*n - 2 + 144 = 2*p + 30, -3*n - 5*p + 280 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24206.36 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*u - 45, u + 3*y - 60 = -2*u. Suppose -b + u = 4*b. Let k be 2000\/b*25*-468. What is k rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**8\/14 - 7*f**4\/12 + 4*f. What is the third derivative of k(m) wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 69577.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3992187ns in hours?\nAnswer: 0.00000000000177756075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 7*y**4 + y**4)*((1 + 1 - 4)*(5 - 1 - 2) - 3 - 2 + 4) - 2*y**2 + 2*y**4 + 2*y**2.\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnnrnn. Give prob of sequence nrnr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(81*z + 110 - 110).\nAnswer: 162*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 13*r**2 - r - 11. Let o be l(-13). Let h be (o - 4\/1) + 7. Suppose 2*c + 2 = -m, -2 - 4 = 2*c. Solve 22 = -h*u + v, -2*v = -4*v + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -2057)\/(1 + 1 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(660)\/sqrt(768))\/(-1*(sqrt(11) + sqrt(88)\/sqrt(8)) + sqrt(11)) + 0)*3)**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 7579957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/30 - h**2. Let o(c) be the second derivative of 0 + 0*c**2 + 16*c - 1\/6*c**3. Give j(o(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28976, -57981, -87022, -116105, -145236, -174421, -203666?\nAnswer: -232977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 14. Suppose -3*j - j = -3*c - 5, 5*j - 6 = i*c. Solve -4*v - 33 = 5*r, 3*r + 7 = 6*v - j*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s = -115*s - 63. Let m(l) = -l**2 - l + 1. Let k(h) = -1 - h + 1 + 2*h**2. Calculate s*k(x) + m(x).\nAnswer: -3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -5, -3\/10, 32.6, -1\/2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + d = 2*g + 1, 2*g - 4*d - 16 = 0. Let s be 1*(g - (-2 + 4)). Solve s = -2*n + n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27780376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.1, 0.22, 0, -392 in descending order.\nAnswer: 0.22, 0, -3.1, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 2*u + 13, 2*b + 46*u + 22 = 44*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27694077 divided by -27\nAnswer: 9231359\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v + v)*(19 - 9 + 4 + (0 - 1 + 3)*(3 - 1 - 4) - 3 - 1 + 3) - 1 + v + 1 - 2*v - 3 + 3 + (4*v - 5*v - v)*(-1 + 2 - 3).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080874.09 + 4153?\nAnswer: 2085027.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 24*n**2 - 93*n + 66 = 0. Calculate n.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134777, 134776, 134775, 134774?\nAnswer: 134773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1088) + 3 + (-1 + sqrt(1088))**2) - (5*sqrt(204)*-1)\/((sqrt(96)*-1)\/sqrt(8)).\nAnswer: -45*sqrt(17) + 5460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/33 - (-456)\/836. Which is the nearest to 26? (a) -0.3 (b) f (c) -1 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/(1\/12). Let j be (-3)\/3*(d - 3). Calculate the remainder when 23 is divided by ((-3)\/j)\/(3\/(-117)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1251652 centuries to decades.\nAnswer: 1.251652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, c: 3}. What is prob of sequence uucu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -41146?\nAnswer: 82\/20573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.049, -0.3, -811, 1, -2 in decreasing order.\nAnswer: 1, -0.049, -0.3, -2, -811","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 3. Let p be x(2). Let r(f) = -f. Let g be r(-3). Suppose g*m + 1 = -5. Are m and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-140) - 2 - 2\/(-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 - 5*q - 5. Let z be 2\/((-56)\/231 - 16\/176). Let n(m) be the third derivative of 3*m**5\/20 - m**4\/4 - m**3 + 2*m**2. Determine z*n(i) + 7*o(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 25*x + 25)*(2*x - 2*x - x**2 + (1 - 1 - 2)*(0*x**2 + 0*x**2 - 2*x**2)).\nAnswer: -75*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1519542 and -86613940\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/170838 and 151\/18?\nAnswer: 170838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = -2*x, -4*x + 13 = -h - 2. Let o(a) = 19*a**2 + 5*a. Let u(j) = -9*j**2 - 2*j. Give x*u(i) + 2*o(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.047 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) -0.5 (d) 2\/7 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(3\/18). Let d(z) be the first derivative of -z**2\/2 - 4*z + 15. Give d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000 - 101001?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1127*z**4 + 1389*z**2.\nAnswer: -27048*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 273, 591, 1031, 1593, 2277?\n\"Answer: 61*y**2 + 13*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908786548?\nAnswer: 2, 47, 53, 223, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5686 + 3?\nAnswer: 5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 19*l - 330 = 5*l. Solve 3*f = 3*t + f + l, t - 3*f = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 - 12*g**3\/5 + 6*g**2 - 16*g\/5 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(7) - (-2*sqrt(7) + 1))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 4*s + 3. Let z be u(-2). Let c = -8260 - -8393. Calculate the greatest common divisor of z and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143534 divided by 43?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -v + 5*b + 6, 5*v + 4*b = -12. Let w(x) = v - 1 - x**2 + 0. Let t(n) = -5*n**2 - 2*n - 2. What is -t(k) + 4*w(k)?\nAnswer: k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5289287 by -110.\nAnswer: -5289287\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(35)\/sqrt(5) + 2)**2.\nAnswer: -8*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -4. Let y be (-14)\/49 - (-282)\/l. Suppose -5*s - y = -4*q, 2 + 9 = q - s. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259383 - 5186439\/20. Let r = y + -61. Let j = 6556 - 78611\/12. Find the common denominator of j and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4208466.\nAnswer: 2, 3, 353, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173159895\/836 - 207129. What is the common denominator of 61\/14 and v?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 144 = s, 6*s = 3*s + 6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1790 by 72.\nAnswer: -895\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 998 = 82*d. Solve 93 = -19*w + d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2095904514*2.\nAnswer: -4191809028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 100\/(-150)*12 + (-76)\/(-7)*1. Solve i - 22\/7*o + 2\/7*o**2 = 0 for o.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 503546580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 38, 65, 102, 149, 206?\n\"Answer: 5*k**2 + 2*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 5*n)*(5 - 8*n + 8*n - 5*n) - 1 + 1 - 2*n**2 + (-2*n**2 + 0*n**2 + 0*n**2)*(-4 + 1 + 1) + 0*n**2 + 0*n**2 + n**2 + 6*n**2 - 9*n**2 + 6*n**2.\nAnswer: -4*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10785 is divided by 1348.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26411075 (base 8) in base 5?\nAnswer: 3002343114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37722330 by 2682.\nAnswer: -14065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9555.715 micrograms to milligrams.\nAnswer: 9.555715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))\/r)**(-17\/6)*(r**(2\/7))**(-27) assuming r is positive.\nAnswer: r**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1662193 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 4*g + 1. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 10)*50\/(-3). Let w = -64 - z. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4605 is divided by 381?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*p - 13, 0 = -3*v + 2*p - 4490. Round v to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:07 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) - (5*sqrt(88))\/sqrt(8)) + ((-4*sqrt(99))\/sqrt(9) + sqrt(11) - (sqrt(11) + sqrt(44)\/(sqrt(4)*1))).\nAnswer: -5*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/44 - 96\/440. Which is the biggest value? (a) 0.09 (b) v (c) -1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 8*g**2 - 2*g - 3. Calculate the remainder when s(-6) is divided by (122\/6)\/1 + 4\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 62, 114, 172?\n\"Answer: 3*g**2 + 37*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 16*a + 38 = 4*c, -5*c + 2*a = -49. Let h(y) = y**3 - 12*y**2 + 11*y + 13. Calculate h(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*g - 31 = 478*g - 3*w, -10*g - 3*w = -23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 308*i**2 + 608*i - 21. Calculate g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a factor of 10737358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 494400586*h**3 + 144186*h**2 - 442.\nAnswer: 2966403516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = -n. Let g(l) = -l**3 - 2*l**2 + 2. Let z be g(n). Factor -2*o - 4 + 6*o**z - 4*o + 4*o**2.\nAnswer: 2*(o - 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353014 - 353047 = s - 2*t, 5*s - 17 = -3*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16661, -16284, -15907, -15530, -15153, -14776?\nAnswer: -14399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(325))**2 + (-2*sqrt(325) - sqrt(325))*4 + 0 + -2 + (sqrt(325) + -3)**2 + sqrt(325) + 4)*3.\nAnswer: -255*sqrt(13) + 1986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*i - 22, -4*i = 21*p - 16*p - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1631?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = 18*v - 375. Find u, given that 0 + 0*u - 1\/8*u**4 + 1\/8*u**2 + 0*u**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = x - 33. Let l(w) = w**3 + 5*w**2 - 5*w + 6. Let a be l(-6). Suppose 4*d + 3*m - 74 = -a*d, 2*m = -d + x. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**17\/h)))\/(h\/(h*h**2\/h)) assuming h is positive.\nAnswer: h**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(62\/140 - (-186)\/(-620))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.079\nAnswer: -0.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 24649 = 15*o - 3*k, -3*k = 9. Suppose 7*i - o = 10535. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7571044653\/2243330749 - -7\/1488607. Let r = -14\/137 + n. Calculate the common denominator of 46\/9 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194011775?\nAnswer: 3, 5, 11, 19, 25391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6264875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/18*53\/((-12614)\/504)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6*j)\/(j\/((j**1\/j)\/j))*j**(-3)*j**(-2))\/(j**(-3)\/(j\/((j\/(((j\/j**(-3\/8))\/j)\/j))\/j))*((j*j*j*j**0\/j*j)\/j)\/j*j*j**6*j) assuming j is positive.\nAnswer: j**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(77)\/sqrt(7)*3 - (-1 + (sqrt(11) - (-3 + sqrt(11))))) + -3)**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/20475 and -49\/30225.\nAnswer: 634725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72687 is divided by 7824.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2885 + 139*n**2 - 2885 + (1 + 2 - 5)*(-2*n**2 + 3*n**2 + 0*n**2) + n - 2*n**2 - n in the form j*n**2 + y + z*n and give j.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -4\/3*r**3 - 3*r**4 - 2\/3*r**6 + 0*r + 0*r**2 - 12\/5*r**5 - 2. Factor f(d).\nAnswer: -4*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1231120 (base 9) to base 12\nAnswer: -283916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -842 - -847. Suppose -2*n = -r*b - 114020, 166948 = 3*n - 4*b - 4068. Round n to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-2 + -377 + 19 + 461?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 2 - (-19 + 23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/104 and -64\/3.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*n + 15*n - 13*n in the form f*n + y and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/187 - -769\/1309. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42\/5 - 3\/5*w**2 - 27\/5*w = 0. Calculate w.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 58 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 28. Calculate o(-40).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + -66 - (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g - 12*g - 20*g**4 + 4*g wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 222 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880 and 39848060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 5. Let v = 42 + -30. Let d = v - 6. What is the remainder when w(d) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o - 1. Let r(p) = -4*p + 14. Let x(u) = 4*u - 15. Let z(l) = 3*r(l) + 4*x(l). Let q be z(5). Determine w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80165415817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 - 4*f**2 - 4*f + 12. What are the prime factors of l(5)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (16 - (13 - 20 - -10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 98, -47, 4, 10, -2 in descending order.\nAnswer: 98, 10, 4, 2, -1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14345 + 24377. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/15 + 128*v**4\/3 + 2760*v**3.\nAnswer: 2*v**3*(v + 90)*(v + 230)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - 1.56. Let x = 0.08 - q. Let a = -18\/35 + 4\/5. What is the second smallest value in x, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, k: 3, t: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 17. Let q = 49 - m. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/360 - s**5\/60 + s**4\/8 - 17*s**3\/6 - 26*s**2. Let v(o) be the first derivative of n(o). Give v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {d: 3, o: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087711636 rounded to 7 dps?\nAnswer: 0.0000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdsvzznv. What is prob of sequence vs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 792763 < 2378288\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287026471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 3563*i - 3563*i - 7*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.398855 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v - 1. Let c(u) = 5*u + 0 - 5*u + 0 - 3*u. Let d be 8\/(-12) - (-3 + 132\/18). Determine d*c(j) - 2*i(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337152.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 + -148.00001968. Round r to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -20. Let w be (3\/(-10))\/((-6)\/(-8)). Let u = 0.1 + 4.9. Put u, c, w in decreasing order.\nAnswer: u, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52981120 a multiple of 1830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 40\/(-100) + (-2)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*l**2*q + 2*l**2 - 254*l*q - l - 2*q + 471612 wrt l?\nAnswer: 100*l*q + 4*l - 254*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33447 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m + 6915*m**2 + 6919*m**2 + 34*m - 13867*m**2.\nAnswer: -33*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1159*x**4 - 7*x + 49 wrt x?\nAnswer: 13908*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -43, -93, -179, -313?\n\"Answer: -2*s**3 - 12*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 138831, 138869, 138907, 138945, 138983?\n\"Answer: 38*y + 138793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402.1 - -404. Sort 3, -0.1, g.\nAnswer: -0.1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21*6545\/(-1530)*-18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-17)\/(-2))\/((-105006)\/(-387)) and 149\/1332.\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k**2 + 4*k**2)*(-4 + 4 - 2*k**2) - 22*k**4 + 72*k - 72*k.\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (10 - -30)*(-4)\/(24\/(-2199))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255 - 153. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + w - 30. Suppose -2*h + 35 = 3*h. Let k be 2\/h + 66\/14. Put 1, k, w in increasing order.\nAnswer: w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375306 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 5e10?\nAnswer: 5e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 29*u + 59*u - 25*u + 175 - 11 = 0, -93 = -6*p + 3*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + m + 16, -25 = d + 3*m - 47 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 818\/80 - (-33)\/(-55) and -13\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14028 is divided by 6953?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53\/2 + 27. Let m(c) = -c**3 + 8*c**2 - 9*c. Let b be m(7). Let p be (-4)\/b + 3\/(-35). What is the second biggest value in 0.1, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1 - 42*j + 19*j + 24*j. Let a(f) = 5*f**2 + 15*f - 15. Calculate a(x) - 15*i(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 354749 (b) 0 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -976, -7190, -17540, -32020, -50624?\nAnswer: -73346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 23 = -v, -5*v - a + 187 = 0. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - (4\/2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 1. Let f = 3 - b. Suppose -3*t + 5 + 0 = -y, -3*y + f = -2*t. Solve -o - 2*o = t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/3 (c) -4 (d) -0.5 (e) 0.03734\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let g = -7 + 4. Let i = 7 - 3. Which is the nearest to n? (a) g (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -8 (c) 0.4 (d) -0.2 (e) 2\/141 (f) 235\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)\/d*d)**(-10\/11)*(d*d**(2\/31))\/(d\/d**(-11)*d) assuming d is positive.\nAnswer: d**(-3760\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r - 2*r + 6*r + 12*r. Let k be h(2). Find the common denominator of -50\/11 and (-2)\/4 + (-28)\/k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Suppose 5*d + 10 = 0, c + 0*d + 3*d + 6 = b. Suppose -9 = -5*y - 3*x, -5*y - 12 = 30*x - 34*x. Solve c = -y*o + o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1.9?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k. Let j be d(1). What is the units digit of (j + 1)\/(-2)*-30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (-3*(6*(1 + sqrt(432))*2 - 6*(sqrt(432) + -6*(-1 + sqrt(432)))))**2.\nAnswer: -217728*sqrt(3) + 6863618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750440308 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, 1 a, and 1 d when four letters picked without replacement from {a: 2, g: 2, d: 3, k: 2, u: 1, s: 4}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(t - t - t)*((1053 - 880 - 861)*(-2 - 2 + 3) - 9 + 0 + 1) to y*t + c and give y.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 14}. Give prob of sequence tyyt.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:31 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1884 (base 10) to base 15.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + 2 + 25 + 2 + -32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**3 - 4*l**3 + 3*l**3 + 0*l**3 + 0*l**3 + 3*l**3 + (-2*l**2 - 3*l**2 + 3*l**2)*(-2*l - 2*l + 3*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0. Let j = -2.6 - -3. Let b = 258\/5 - 52. What is the nearest to b in -0.1, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 608 - 600. Suppose -9 = -3*w - 0. Let p(f) = -f**3 - f**2 + 3*f - 3. Let v(a) = -a + 1. Give s*p(n) + w*v(n).\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 8 + 30 + 1378*n.\nAnswer: 1378*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7702, 15333, 22822, 30097, 37086, 43717, 49918?\nAnswer: 55617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/794420 and -35\/5243172.\nAnswer: 26215860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4047332906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:43 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*l - s, -5*s - 17 = 5*l - 52. Let f be (-56)\/(-441) + l\/63. Suppose 4*z - 88 = 100. Which is the third smallest value? (a) z (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 + -4. Let s = 1 + 0. Let t = 2.4 + 0.6. Which is the closest to s? (a) -1\/2 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (431*p**2 - 515*p**2 - 679*p**2)*(0 - 3 + 0) to w*p**2 + k + v*p and give w.\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*x**3 + 29616*b*x**2 - 2868*x**5 wrt x.\nAnswer: 24*b - 172080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 5)*(-172*o + 80*o - 2 + 78*o) as u + z*o and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 5:27 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000914 to seven decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) + 36\/10. Suppose 0 = -h*n, -5*d + 5*n + 110 = n. Let r = 536 - 470. What is the highest common factor of r and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 48, 68, 92, 120, 152?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 6*l - 24. Let j(z) = -5*z**2 + 33*z - 120. What is 2*j(i) - 11*m(i)?\nAnswer: i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1001819 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -4*z**7\/105 + z**5\/20 - z**2\/2 - 3*z. Let a(w) be the first derivative of t(w). What is the third derivative of a(d) wrt d?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 4*i - 176, 4*t = 4*i - 144. Let c(q) = -i*q + 5 - 5 + 43*q. Let w(f) be the second derivative of f**3\/6 + 37*f. Determine w(c(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 13 + 7)*(4*g + 0*g + 0*g) to b + m*g and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/8 - 45*b**3\/4 - 801*b**2\/8 + 111*b.\nAnswer: 3*b*(b - 37)*(b - 1)*(b + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-15)*5170\/141*(-2)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 2, -671, -6, 341?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/107534 and -109\/228.\nAnswer: 12258876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269*q**2 - 20*q**6 - 93*q**6 + 184*q**2 wrt q?\nAnswer: -13560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-87\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.2, -39, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8499984 to the power of 1\/2, to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/9 - (-2 - 39\/(-72)). Let a(y) be the third derivative of 0 + x*y**4 + 0*y + 1\/2*y**3 + y**2 - 1\/60*y**5 - 1\/120*y**6. What is a(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19660360047 + -0.039?\nAnswer: -19660360047.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + 5*k**2 - 2*k. Let f(p) = 4*p**3 - 3*p**2 + p. Let s(r) = -3*a(r) - 5*f(r). What is the second derivative of s(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/529812 and -33\/588680.\nAnswer: 5298120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-186)*(112\/36)\/(-7). Sort -2, h, 3\/2, 5.\nAnswer: -2, h, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*o - 50, -124 = i - 5*i - 2*o. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 355842, 711788, 1067734?\n\"Answer: 355946*r - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.01357 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20. Suppose r = 5*w - 31 - 19. Let v be (w\/(-4))\/(3\/(-6)). Calculate the highest common factor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29339 (base 14) to base 5\nAnswer: -11232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -5*k, 3*m + 4*k = -0*m + 22. Calculate the smallest common multiple of m and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335552 by -128.\nAnswer: 10434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uilllvfllvlblllbll. Give prob of sequence bbu.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5))**(32\/3) assuming q is positive.\nAnswer: q**(128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 95\/50)*-31 - (-3 - -6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 2 + 30 + (-26 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + -2. Sort -4, 0, i in decreasing order.\nAnswer: 0, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-44 + 41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 606336*t**2 + 606332*t = 0. What is t?\nAnswer: 0, 1, 151583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:19 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6396600776 to the power of 1\/3, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 156\/15 - 8\/20. Let c be 24\/q + 6\/(-15). Suppose -2*s + 0*y = c*y - 36, -s = 5*y - 10. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -1\/9 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let t = q + -2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/120)\/((-180)\/(-72))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.35. Let r = 72 + -75. What is the second smallest value in r, 6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(112) + 1 - (2*sqrt(112))**2*6).\nAnswer: -2685 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/20)\/(16\/40). Suppose -3*c + 0*c = -3*z, 2*c = 4*z - 10. Suppose -x + 3*q + 7 = a, x = z*q. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08634 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 29*h**2 - 4. Let r(z) = -88*z**2 + 11. Let t(x) = -4*r(x) - 11*y(x). Let c(m) = m. Give c(t(i)).\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 5, 118 in decreasing order.\nAnswer: 118, 5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Let p be a - (-6)\/(-3)*1. Suppose 0 = 5*b + p - 11. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16772*k**4*v**3 + 18335*k*v**3 wrt k?\nAnswer: 201264*k**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 - 114*o**3 + 144*o**3 - 5 wrt o.\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51961.12822 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/87, -13\/410, -6, 5, -1?\nAnswer: -13\/410","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-17) - 77025\/(-4029)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 102*o = -29792. Is 98 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -85. Suppose o = -b - 3*g + 30, 4*b + 3*g = 5*b. Solve -7*v + b = -12*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let c = 128 - 122. Let v(d) = d**2. Let k(y) = c*h(y) - 11*v(y). Let q(w) = -4*w**2 + 2*w + 2. What is 5*k(s) + q(s)?\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*b + 142*b + 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120954169 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.24 + 2. Let h = -0.16 + x. Which is the fourth biggest value? (a) h (b) -5 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (2 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106257616 divided by -390653.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.492 and -1255.\nAnswer: 16932.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2072*h = 2099*h. Solve -p + 3*p - 13 = 3*j, h = 2*p - 2*j - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v + 38. Let r = v + 32. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 5. Suppose -112 = -5*p - 137. Calculate x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-10)*-8)\/(-2). Solve 2*m - 3*k = -8, 2*k - n = 5*m - 2*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/7 + 165786*x**4\/7 - 9354026*x**3\/7 - 4718460*x**2\/7 = 0 for x.\nAnswer: -1\/2, 0, 57, 41390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 892 + -893. Let f(q) = 2*q + 7. Let k(n) = -n - 3. Let o(r) = 6*f(r) + 11*k(r). Let c be o(-9). Put -0.09, p, c in decreasing order.\nAnswer: c, -0.09, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4595950 by 459595.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/14)\/(56\/(-21))*(-3)\/9.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 64.\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.68. Put 0.4, 0.6, l in descending order.\nAnswer: 0.6, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + 22\/(-20). Let w be (-1)\/(-7) + 54\/14. Let s be w\/(-40)*(-3 + 9). Which is the closest to 0? (a) s (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*z - 70*z + 3*t + 45 = 0, -t - 30 = -3*z. Solve -16*u = z + 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*n + 37800019, -5 + 7 = 2*z. Let q be 5*(-7 + 6) + n. What is q rounded to the nearest one hundred thousand?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 6 = 0. Let a(j) = -j**2 - 7*j + 2. What is the units digit of a(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.14 - 0.64. Let a = -241.78 - r. Let v = 195.2 + a. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 255359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.6761 to one decimal place.\nAnswer: -299.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9*y + 30 = 0. Suppose -b - h = -12, b - y*h + 12 = -6. Suppose 3*z = -0*z + 168. Calculate the greatest common factor of b and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 417094660 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 2. Let x be f(-4). Suppose -10 = -x*u - 2. Suppose -79 = u*g - 291. What is the remainder when g is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006442616 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332300 + 3?\nAnswer: -1332231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -21*w - 5. Give l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 216*v - 32308657 = -132618409. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78097340 divided by -4.\nAnswer: -19524335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*q = 202*q - 1810 - 9040 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2548815 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g + 95 - 95 + 6*g.\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -75061715 divided by -4?\nAnswer: 75061715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348*j**3*o**3 + 3*j**3*o**2 + 12*j**3*o + 2*o**2 wrt o.\nAnswer: 2088*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdhxhhdhdxhhxhx. Give prob of sequence hxd.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 25*a**3 - 2604*a**2 + 421*a - 68. Calculate k(104).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + 36 - 29 - 3213\/(-140))\/((-1)\/(-4))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 285 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, -5160 in descending order.\nAnswer: 28, -1, -5160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*z**3 + 4*o**3 + 2*o*z**2 - 27*z**5 - 14*z wrt z?\nAnswer: 6*o**3*z + 4*o - 540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -3, -19, -10.\nAnswer: -19, -10, -3, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moqoqqmoqyqoqosqqoq. Give prob of sequence qq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r, 0*l + 6*l = -3*r + 1464. Calculate the remainder when l is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2542\/116415 + 1\/2587. Sort x, -0.02, -3\/4 in descending order.\nAnswer: x, -0.02, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giggsxxvxgg. Give prob of picking 1 g and 1 x.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k + 1. Let s(y) = y**2 - 37*y + 98. Let d be s(34). Let n(t) = 2*t**2 - 5*t + 1. Give d*n(p) + 10*x(p).\nAnswer: 2*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8271775847*a**2 + 2*a - 4*a**3 + 5*a**3 - 8271757512*a**2)*(0 + 2*a + 0) to r*a**4 + t*a**2 + k + l*a + z*a**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 45. What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 - -353. Let v(m) be the third derivative of -1\/60*m**5 + 0*m + 0 + 1\/3*m**4 - i*m**2 - m**3. Determine v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92471794.\nAnswer: 2, 83, 557059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 0*i - 2*i)*(-2 + 0 + 0) - 1966*i - 11963985 + 11963985 to a + o*i and give o.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000551411 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (-4 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 3*f + 5. What is n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from ddssssds.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/21 or -1?\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 52a65b?\nAnswer: -52a665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u + 299. Calculate b(40).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -15.979.\nAnswer: 15.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*u - 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 27.9998. Round j to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 9. Suppose 5*d - 10*d - 25 = 0. Let c be k(d). Let h(a) = -5*a**2 + a + 0*a**2 + 6*a**2 + 12*a**3. Give h(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*b**3*m**3 - 3*b**3*m - 54*b**2*m - 158*b*m**2 - 7*b + 6*m wrt m.\nAnswer: 660*b**3*m - 316*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(180) + 5 + -1 - ((sqrt(500) - (5 + sqrt(500) + 3))*-3)**2.\nAnswer: -572 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 u, and 1 d when four letters picked without replacement from {u: 6, q: 4, d: 3, z: 2, w: 1, b: 3}.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/12 + 22*x**2 + 2. Let c(p) = 16*p. Determine c(m(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 30 = -4*c. Calculate the greatest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 7*k - 51740215 + 51740215.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6310 - 3?\nAnswer: -6313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -17, -3, 15?\n\"Answer: 2*j**2 + 4*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + (-2 - (0 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + -4.95. Let t = 3 + -3.3. Let q be (-2)\/6 + (-20)\/(-132). Which is the third smallest value? (a) u (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/(-4)) - -1. Suppose u*n = 8*n - 30. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10022 + 10021.8. Sort -16, -0.7, -4, f in descending order.\nAnswer: f, -0.7, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 5*q. Let i = 3 + 2. Let m be d(i). Suppose -3*c - 5 = 1. Sort c, m, 4 in increasing order.\nAnswer: c, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 199459758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103217.\nAnswer: 103217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 43*x**2 - 35*x - 74*x + 9*x - 16 + 122. Find the first derivative of o(m) wrt m.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let f be 5 + 3\/(1\/1). Let x = -6 + f. Solve 3*y - c*y + x*n - 2 = 0, 4*n - 14 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Suppose c*d + 4*j = 64, d - 2*d = -j - 26. What is the highest common divisor of d and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/6173 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2. Let i be p(0). Which is greater: i or 2\/503?\nAnswer: 2\/503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let t(v) be the first derivative of l + 2*v**2 + 3*v**2 + v + 1 - 6*v**2. Give t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*o + 16, -t + 2*t - o = 0. Suppose 5*q = t*q + 108. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:40 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221211210 - -12?\nAnswer: -10221211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2509 and -137?\nAnswer: -34.3733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 395*m**3 - 2*m + 3 - 389*m**3 + 772*m**3 + 1 + 5*m**2 - 3*m**2 to n*m**2 + k + r*m**4 + c*m**3 + z*m and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -220228*579\/42 - 8\/(-28). Round p to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160.6 - 137. Round s to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35690?\nAnswer: 2, 5, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6 - 54\/81\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g. Let r be (0 - 3)*(1 + g). Is 11 a factor of (78\/4)\/r*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*w + 32, -5*h = 62*w - 59*w - 67 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1181 = 5*g - 1201, -2*g - 4*l = -30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.05 + 623036163.\nAnswer: 623036145.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:54 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqqqqkkqkqkk. Give prob of sequence kqkq.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82343.\nAnswer: 67, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 4*l)*(-13 + 2*l - 10*l + 14).\nAnswer: -16*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1*-1)\/(43\/215).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-7053)\/22608 - 2. Let r = -1\/942 + n. What is the common denominator of r and -75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x + 22*x**2 - 29*x.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 283 and 2.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-8 + 7)*-2. What is the greatest common divisor of 582 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269385?\nAnswer: 3, 5, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*d + 25 = 0, -5*o + 3*d = 2*d - 31. Suppose -6 = -w + 2*w + 2*l, -o = 3*w + 3*l. Solve w*r - 6*r - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 45. What is the remainder when (2*-1)\/((-92)\/3910) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 8, o: 1, n: 1, f: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 5.1. Let j = 4.9 + z. Does j = -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10102?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**7\/210 + d**5\/60 + 5*d**2 + d. Find l, given that j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as -76784574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186575284097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -m + 11*f, 2*m + 2*f = 0. Solve -2*q + m*q - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*-2*-1*3*((sqrt(17) + sqrt(272))**2 + 3).\nAnswer: 15406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*m**3)*(-71 + 7*m**2 - 66 + 131).\nAnswer: -28*m**5 + 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95640 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-88 + (-25)\/5)*8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 (base 10) in base 4?\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 102*g**3 - 67218*g**2 + 24*g - 15821. What is n(659)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0398313905 rounded to 5 dps?\nAnswer: -0.03983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 12. Let i(v) = 2*v**2 + 3*v. Let w be i(-2). Solve -w*g - x = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - 4 + 2 + 1. Is 2 a factor of d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.985892 - -0.24421. Let i = -1.23 + t. Round i to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/2)\/(1 + 0). Let r(n) = -7*n - 48. Let b be r(-8). Suppose -b*l - 230 = -a*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 108. Let g be 1896008\/(-4) + -3 + (3 - w). Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.6*2\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*w - o, -5*o = -4*w - 2*o + 20. Let g(s) = 8*s + 39*s**2 + 2 - 5 - 78*s**2 + 38*s**w. Determine g(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 6, z: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -5316578.\nAnswer: -122281294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2721871 - 3*a + 0*a + 2721869.\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 27 = -0*b - 4*b, 0 = -3*h + 3*b - 27. Let o(u) = -u**3 - 6*u**2 - 5*u - 31. Calculate the remainder when o(h) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1487904*v - 2408689.\nAnswer: -1487904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.10004801 + -17.1. What is t rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95799258*z**2 + 9175858 wrt z?\nAnswer: -191598516*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 288 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.246215 to two decimal places.\nAnswer: 151.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1191, 1, 11, -94 in decreasing order.\nAnswer: 11, 1, -94, -1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1038881 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t = -56*t + 24. What is the third derivative of -18*n**t + 41*n**2 + 122*n**6 - 116*n**6 - 203*n**2 wrt n?\nAnswer: 720*n**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250596 is divided by 83525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35656, 70962, 106268, 141574, 176880, 212186?\nAnswer: 247492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 + z**2 + 3*z**2 + 9*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1850000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 - 82. Suppose 29 = 9*t - 25. Suppose -5*d + c = -2*l, -t*d + 48 = -d + 3*l. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -541, -576, -623, -688, -777, -896, -1051?\n\"Answer: -g**3 - 28*g - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 2*v - 16. Let u be s(3). Let f = 196 - u. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1862, -1871, -1886, -1907?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295993387 to the power of 1\/2, to the nearest integer?\nAnswer: 17204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w - 92*w + 5*l = 38, 0 = 5*w + 3*l - 41. Let d be (-23)\/(3 + 4\/(-4))*-14. Calculate the greatest common divisor of w and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -359688.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 212*(4 + (-7)\/2) - -5*44\/(-44)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2103*c**2. Let h(r) = r**2 - 224*r. Calculate h(k(w)).\nAnswer: 4422609*w**4 - 471072*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1491 and 639?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(133)*-5)\/(sqrt(28)*2).\nAnswer: 25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3979, -31772, -107207, -254104, -496283?\nAnswer: -857564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**5\/5 - 3*l**2\/2 - 2. Find the second derivative of j(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18*b + 1288 = 19*b, 4*b + 1712 = 4*w. Is w at least as big as 429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - -8) - (-24 - -40 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/15 + 537*v**2 - 1. Let u(x) = 878*x. Determine y(u(w)).\nAnswer: 3083536*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 12. Let c(a) = -13. Suppose 8*d + 7 - 94 = -21*d. Calculate d*z(m) - 2*c(m).\nAnswer: -3*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let j be (-1 + 12\/8)*0. Suppose 2*v - 31 = 5*t, -1 + j = t. Let a(f) = 3*f**2 - v*f**2 + 8*f**2. Calculate n(a(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 - 3*q - 4. Let u be i(4). Let g = -315 - -283. Let z be ((-12)\/14)\/(g\/56) - 3. Are u and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q. Let n(v) = -v. Let a(o) = -12*n(o) + w(o). Let r(t) = -5*t. Give -14*a(b) + 6*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 95.108. Round t to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 5 + 4*m - 4*m**2 + 6 + 0*m**2. Let t(p) = -p**2 - 2*p - 1. Let j be t(-3). Is c(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) - (sqrt(27) - (3*sqrt(27))**2*5).\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64684898 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 13*o + 31468 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 465 = 38*c - 105 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -4. Let z = 1 + i. Suppose 0 = 3*p + z*b + 9, p = -0*p + b - 3. Put p, -1\/10, -5 in decreasing order.\nAnswer: -1\/10, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*a - 93*a - 1056 = 0. Calculate the greatest common divisor of a and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ada when three letters picked without replacement from daadaad?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 15. Suppose 0 = 3*s + m*d - 37, 0*s + 2*s - 28 = -5*d. What is the highest common factor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1460748\/527 + -6904108619\/2492710. Let w be (-1)\/(-1) - (-474)\/(-473). Let u = w - b. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9314, -18579, -27830, -37061, -46266, -55439, -64574, -73665?\n\"Answer: o**3 + o**2 - 9275*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -3*f + 7. Let u = 31.6 - 1.6. Let w = u - 34. Which is the nearest to 0? (a) f (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -153*m**3 + 2*m**2 + 8*m - 9. Determine y(1).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 150146649 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 30 = -0*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427510, -855019, -1282528, -1710037, -2137546?\nAnswer: -2565055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 7*z**5\/30 + 6*z**2. Let g(x) = -95 + 2*x**2 + 95. Give g(l(d)).\nAnswer: 392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021123210 (base 4) to base 16.\nAnswer: -896e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -149.9709?\nAnswer: -149.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -3 - -2 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.016259 - 4280.616259. Round b to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f - 2*h - 64, -f + 5*h - 57 = 0. Are f and -66 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16910508 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.2. Let d = t - -0.02. Let u = d - -0.38. What is the third smallest value in -0.2, u, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 7.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12738*87.\nAnswer: 11.08206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 2*h + 33. Calculate a(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 8*d + 10. Let r(a) = a**3 + 11*a**2 + 10*a - 12. Let p be r(-10). Let b = -19 - p. Let t be x(b). Solve -3*v + 6*v + t = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/2)*(s*s**(-4))\/s)**(1\/18) assuming s is positive.\nAnswer: s**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soykkvvvovoosl. Give prob of sequence ols.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(10\/3))\/t*t*t**9)\/(t**(1\/4)*t**5))**(-2))**(-45) assuming t is positive.\nAnswer: t**(1455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014629904 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 355121 at most as big as 355276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*r + 9 = 4, w = -r. Let f(u) = -6*u**2 - 6*u. Let q(i) = -i**2. Let p(h) = f(h) - 5*q(h). Let a be p(w). Solve g + 2 = a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/15414186 and 67\/10276124.\nAnswer: 30828372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0697 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1100312 (base 5) to base 9\nAnswer: -27744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9042 at least as big as 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 11*l + 9. Let a be u(4). Let d(w) = -8*w**3 + 2*w**2 + w + 4. Let k(v) = 16*v**3 - 4*v**2 - 2*v - 9. Determine a*d(s) + 6*k(s).\nAnswer: -8*s**3 + 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 - 22*r + 83 + 64)*(8*r**2 - 4*r + 4*r).\nAnswer: -176*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2494225 and 122189?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55024 - 6393 - 55064 = -2841*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 16*v**2 + 20*v + 23. Let o be p(-14). Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/2)\/(-5)*7\/(161\/46)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(1*-2*sqrt(68) + (sqrt(68) - (sqrt(68) + 6*1*sqrt(68))))\/(-3*(1*sqrt(196) - sqrt(196) - sqrt(196))))**2.\nAnswer: -80*sqrt(17)\/7 + 31169\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 11 + (-2 + 3 - (52 - 62))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.607327 micrometers?\nAnswer: 0.000000000607327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -24*z**2 + 15*z - 15. Let b(x) be the second derivative of x**4\/2 - 2*x**3\/3 + 2*x**2 - 8*x + 5. What is -15*b(s) - 4*j(s)?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17718407, -17718410, -17718413?\nAnswer: -17718416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2552 and 59\/203?\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.192 (b) 5\/2 (c) -242\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16489633 and -15.91.\nAnswer: -16489648.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-2)\/220)\/(2\/(-5))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1327.4 - -1327. What is the second smallest value in 6\/35, c, 2?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-10))\/(534\/179780). Are v and 202 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2357 = 62*a. Solve 40 = w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 296215*m - 1184863. Determine j(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(1 + -1). Suppose -3*m - 4*y + 6687 = 0, -8916 = -4*m - 5*y - g*y. Suppose -x = -5*s - 457, -4*x + m = x + 3*s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2703, -2702, -2701, -2700?\nAnswer: -2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, f: 2, q: 1, b: 11}. What is prob of picking 1 f and 1 q?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.60145 millilitres to litres.\nAnswer: 0.09960145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962*x - 163*x - 5890 + 234364 = 2106*x for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 - 33838*i**4\/9 - 507052*i**3\/9 + 1149472*i**2\/9 = 0 for i.\nAnswer: -16904, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232020002 - -12?\nAnswer: -3232013330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -104. What is the highest common factor of m and 480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 30202?\nAnswer: 785252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -2054, -2046, -2038, -2030?\nAnswer: -2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 + 6*f**2 - 24*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {g: 2, x: 1, q: 13, p: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5053.65 and -51816.\nAnswer: -56869.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3554 + -0.1.\nAnswer: 3553.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 37. Let d be 0\/4*v\/(-8). Solve 0 = -5*i + 3*j + 8 - 2, 5*i - 2*j - 4 = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*l**4 - 3*l + 3178 wrt l.\nAnswer: -76*l**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2783 - 2778. Sort 116, q, -5 in decreasing order.\nAnswer: 116, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 20 = 60. Suppose -q + 5 = -u. Solve 0 = -u*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-3 + sqrt(2))*-5.\nAnswer: -25*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/24 and 55\/20952?\nAnswer: 20952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r - 22 - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3\/5 - 8509456*y**2\/5 + 34037872*y\/5 - 34037888\/5 = 0. Calculate y.\nAnswer: -2127368, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + (-1040)\/50. Let a = -16 - t. Let d(c) = -c**2 - 5*c + 6. Let i be (-9)\/(-2) - (-2)\/(-4). Let u(y) = y**2 + 4*y - 5. Give a*u(g) + i*d(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.2 (c) 87\/160 (d) 217 (e) 3 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-139410)\/(-10843))\/(10\/14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737548725 divided by 25?\nAnswer: 69501949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3101, -6202, -9303?\nAnswer: -12404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jhjvjchhhchhx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.98 + -0.02. Suppose s - 3*s + 1 = 3*u, -3*s = u + 9. Which is the nearest to -0.1? (a) n (b) s (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1022 + -4?\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -4. Suppose -15 - 27 = -3*x + 5*l, -t*l = 12. Is ((-835)\/3)\/((-3)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 29*g**2 + 3303*g - 330. What is the lowest common multiple of f(-114) and 190?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 20. Let d(g) = g. Let p be d(j). Let x = -0.00876 + -3.99124. Which is the second smallest value? (a) p (b) x (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 1169, 0 in descending order.\nAnswer: 1169, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1452)*-2).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-6))\/(h**20*h*h*h)*h**(8\/3)*h*h**9 assuming h is positive.\nAnswer: h**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*k**4 - 5181*k**3 - 14616*k**2 - 8436*k + 1056 = 0. Calculate k.\nAnswer: -88, -2, -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12084480 and -149\/31470?\nAnswer: 12084480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + o + 21. Let d = -3 + 3. What is the units digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79468, 79493, 79518, 79543, 79568, 79593?\nAnswer: 79618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13234, 1\/3, 0.02, -2\/5 in decreasing order.\nAnswer: 4, 1\/3, 0.02, -2\/5, -13234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z + 1. What is a(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 347 = -3*l + 16, 0 = -m. Is l less than or equal to 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.9 - 22. What is the smallest value in w, 1\/3, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + p)*(0*p + 0*p + p**2) + (-49*p**2 + 49*p**2 - 2*p**3)*(16 + 17 - 19).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29744234 and 9880?\nAnswer: 594884680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*c = -33, 26948*w - c = 26967*w - 5*c + 417 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46792515, -46792516, -46792517, -46792518?\n\"Answer: -j - 46792514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52519 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 1}. What is prob of sequence fz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:28 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m - 4. Let h = 11 + -16. Calculate the smallest common multiple of 6 and l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125475056.\nAnswer: 2, 7, 1120313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267.14700005 - 266.447. Let f = 0.7 + -1.4. Let r = c + f. What is r rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68110 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000213368881 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-456)\/80)\/(-19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 2*t**5 - t**5 - 38 + 18 - 64*t**5 + 23 + (0*t - 2*t**3 + 0*t)*(-t**2 + 0*t**2 - t**2) + 3*t**5 - 2*t**5 - 2*t**5 - 4 - 2*t**5 + 4.\nAnswer: -65*t**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 11, x: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**5 - 1683*i**4\/2 - 5832*i**3 - 12387*i**2\/2 - 1197*i = 0.\nAnswer: -133, -6, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 699 = 2*o - 195, -502 = 2*o + 5*h. What are the prime factors of 6498\/152*o\/(-6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6122 + -3519. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 1930?\nAnswer: 193a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h + 4 + 3*h**2 + 11*h**2 - 30*h - 27*h to v*h**2 + q + y*h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtvvvt. What is prob of sequence vt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 6*t + 7*t - 4*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 229049*l\/5 - 687138\/5.\nAnswer: -(l - 229046)*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/3)\/s*s*s\/(s*s**(-3\/19)))**(-4\/19) assuming s is positive.\nAnswer: s**(496\/1083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**4 + 3*f**3 - 6*f**2 - 3*f + 4. Let s(i) = i**4 - i**3 + i. Let a be (-10)\/(-15) + 32\/(-3). Let t(y) = a*s(y) - 2*r(y). What is p in t(p) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 9}. What is prob of picking 3 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 585\/156 + 1\/4. Suppose g - 1209 = y, -f*g + 6*g = -4*y + 2394. What are the prime factors of g?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y**(-34)\/y*y)\/y*y))*y**(1\/11)*y**17\/y**(-30) assuming y is positive.\nAnswer: y**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 925 = -2749. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -12.2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**4 - 321*a**3 + 19*a**2 + 264.\nAnswer: 504*a - 1926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 4 = -o + 3*t, 0 = -o - t + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h + 401. Let i be r(-18). Let z = -83 + 83. Solve 5*n - 17 = 3*b, -i*b - 23 = -3*n - z*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 93 + 0*h - 98. Let j be b(-8). What is the third biggest value in -5, -3, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:22 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*f + 4 = -f, u - 2 = f. Suppose 0 = 8*j - 27 + 3. What is the remainder when j is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 65 = -2*t. Suppose 0 = -9*s - 57 + 156. Let o = t - s. Solve 0 = -0*c + c + o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135738684.5 to the nearest one hundred thousand.\nAnswer: 135700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 + 2. Let q be f(-6). Let c = q + -1. List the prime factors of 4\/(c - (-2)\/(-6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 3. Let b = 20 - 24. Suppose 3*d = r - 13, r + 0*r = 4*d + 15. Let f = r + b. Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/175 in -11, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 127*i. Let d(s) = 30*s**2 - 12. Give d(o(z)).\nAnswer: 483870*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16 and 99\/104714?\nAnswer: 837712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 417864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + d + 1. Let u be f(-1). Let h = -3 + -1. Let x(n) = n**2 - n - 1. Let z(j) = j**2 - j - 1. Give h*z(m) + u*x(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 181 = -31*h. Let u be -1 - -6*(2 + -1). Suppose u*o - h = -36. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3848 - 3848 + 157505*x**3.\nAnswer: 157505*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 25 - 15 - 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxz when three letters picked without replacement from zsshshjssxjsssziiszz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b - 540 = 249*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -27.7.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100765756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/7287152 or -1?\nAnswer: 7\/7287152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32257 - 7230. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 4.1, 2, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 3*y**3)*(4 + 2 - 4) + 65*y**3 + 0 + 2 - 64*y**3 + 2*y to m*y + d + j*y**2 + c*y**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561522041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o + 4. Let b be m(3). Let g = 108 + b. Suppose l + 3*l = -5*r + 85, r = 4*l - g. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 3*f + 1. Let h(t) = -t**2 + 19*t - 13. Let w = -57 + 75. Let k be h(w). Suppose 3*y + 2*c = 8, -2*c = -y + k*y - 10. Give m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26223 + -24203. Calculate the greatest common factor of f and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 2*a**2 - 4*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*z**2 + 228*z**2 - 583*z**2 + 8*z in the form k*z + q*z**2 + o and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57, 4, 661?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13179435131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107621 + -433051\/4. Which is smaller: h or -642?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 24 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 3*b + 5*b)*(4*b + 3*b**2 - 4*b + 14*b**2 - 41*b + 41*b + (3*b - b + 0*b)*(4*b - b - b)) to w*b**3 + v*b + l + k*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.01? (a) -3\/4 (b) 4 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 - 152. Let m(v) = v**2 - 11. Let u be m(9). What is the highest common factor of u and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/25*(-60467)\/(-4780) + 5 + (0 - 0)?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2299)*-1 - (-2*(sqrt(2299)*3 - sqrt(2299) - sqrt(2299)))**2.\nAnswer: -9200 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)*(0 + 2). Suppose -d*b + 3*x + 26 = -204, -5*b + 575 = -3*x. Let s = -45 + b. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/23 in 2\/9, -0.1, 5, 382, 84?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6844 and 4506948?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/15)\/(294\/56).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*d - 3)*(-4*d - d + 3*d) + (-2*d + 5*d - 2*d)*(-16*d + 0*d + d) + 32 + 2*d**2 + 5*d**2 - 33 as m + r*d + x*d**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.023 - -0.074. Let u = y - 4.951. Let h = u - -4.8. What is the closest to 0.2 in h, 5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + 12073?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 5*u**9\/504 + 7*u**5\/15 + 10*u**2. Find the third derivative of f(z) wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 512*c - 217. What are the prime factors of w(10)?\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/7, -0.2, -1, 0.73, -5\/17, 0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17130097 is divided by 497?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-17 - -37) - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4, -2, -208, 246, 38 in descending order.\nAnswer: 246, 38, 4, -2, -3, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(195*f**4 + 329*f**4 + 21*f**4) in the form l*f**3 + w*f**4 + b*f + k + o*f**2 and give w.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1511487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1638 - -1681. Suppose -v - v + 39 = x, 2*x + 10 = 0. Calculate the remainder when l is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812825830 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d - 2?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/4)\/9*-172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -136?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*h + 7 = 3*p, 3*p + h = 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-8) + 3\/(-12). Suppose 0*q + q = -2*l + 10, s*l - 6 = 3*q. Let k be (q\/25)\/(8\/10). Sort k, -0.3, -0.1 in descending order.\nAnswer: k, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*j - 14, -14*j + 17*j - 18 = n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31776 divided by -15888\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)\/((v*v**(-2\/7))\/v)*(v*v\/v**(-1)*v)\/(((v*((v\/(v\/v**6))\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Let v = q - 5.3. Let m = -5569\/19 + 293. Which is the smallest value? (a) -1\/6 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*g - 6, -5*t - 16 = 2*g - 2. Let i be (4\/(-5))\/((-14)\/105). Suppose -i*j + 84 = -g*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (5 - 3 - -1). Put i, 3, -6, -4 in decreasing order.\nAnswer: 3, i, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97721.1 rounded to the nearest 1000?\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q. Let p(i) = -i + 1. Calculate -p(b) - z(b).\nAnswer: 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8 and -15\/26794.\nAnswer: 107176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 19*z + 62. Let d be f(20). Let h = -175 + d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t - 5. Suppose -t*r = -r - 844. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33545217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 13 (c) -2\/15 (d) -1211 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168994*x**3 + 16*x**2 + 8051451*x wrt x?\nAnswer: 1013964*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -151150053?\nAnswer: -151150050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from klyykklkkl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 9605. Let u(g) = -1511*g + 5. Calculate q(u(j)).\nAnswer: 1511*j + 9600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19151568 + 3?\nAnswer: -19151565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.44915222107 less than 0.4?\nAnswer: 11.84915222107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 7*w**2 - w + 6. Let m(p) = -p**2 + p + 5. Let r be m(4). Let z be c(r). What is the greatest common factor of 143 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4890 is divided by 1522.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) -156 (c) -26 (d) 5 (e) -312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from pouppbo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181\/12 + 15. What is the common denominator of 173\/168 and t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 14. Suppose -2*m - p = -6*m. Suppose -4*u = 5*w - 108, -m*w + 5*u = -37 - 33. Calculate the lowest common multiple of 18 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:18 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 0.01, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/58*3\/2. Sort -4, 2\/11, i, 3\/5 in descending order.\nAnswer: i, 3\/5, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 2. Let n = 1944 + -15497\/8. Calculate the common denominator of (v\/(-4))\/(6\/(-50)) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + j = 154, -3 = 3*j + 3. Let t = g + -50. Let n be 2\/5 + t\/30*9. Is n at most as big as -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75.985 - 0.015. Let h = -152 - c. Let x = 75.823 + h. What is x rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) - 8\/(-14). Let u = 306 - 2143\/7. Which is the third biggest value? (a) d (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, 547, 13, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4532787589 - 4532787589 + 156*o.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.2 from -434198250369.\nAnswer: -434198250371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/190)\/((-22)\/(-5))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 4:03 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2591 - 740. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z**2. Let m(i) be the third derivative of i**4\/2 - i**2 + 19. Give m(d(w)).\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 218776 divided by -2668\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (22 - (7 - (-3 - 16))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 less than -3833066?\nAnswer: -3833034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712116 is divided by 1272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 13*f**2 - 12*f - 23. What is the units digit of q(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008055788967 to seven dps.\nAnswer: 0.0000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 9*x - x + 2 - 2 + (x + 1 + 2 - 6*x)*(-5 - 5 - 1))*(-7 + 3 + 0).\nAnswer: -252*x + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 2. Let r = -5864\/26307 + 2\/2923. Which is the nearest to -2\/5? (a) r (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3015, 12075, 27183, 48345, 75567, 108855?\n\"Answer: h**3 + 3018*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3712582*f - 2648970 wrt f.\nAnswer: -3712582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 1059 = 10236. What is the highest common divisor of 147 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2313 + 444. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 6*u - 7. Let z be l(8). Suppose -4*p - 6*f + 2*f + 96 = 0, 5*f - 42 = -2*p. Let g(q) = -p + 25 + 5 - q. Calculate g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrmmmrmvra.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 88 + 275 = 112 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3130\/13146)\/((-5)\/(-254)) - 12?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/36*3\/(-4)*32\/((-768)\/9)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 81*i**2 - 164*i + 510. Let l be y(79). Solve l*o - 40*o - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/81*25694\/(-51388)\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164896 is divided by 23502.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let h(n) = -n**3 - 8*n**2 - 8*n - 1. Let l(f) = 3*b(f) + h(f). Calculate l(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyhq when four letters picked without replacement from hyfjhffqfjj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4660*j**4*m**2 - 2*j**2*m**2 + 193*j**2*m - 2*j*m**2 - 7 wrt j?\nAnswer: -111840*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -202.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 772605 and 6342345.\nAnswer: 1122595065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*g**3*v + 124*a*g**2*v**2 - a*v**2 - 2471*g**3*v**2 + 10*g**2 wrt g.\nAnswer: 12*a*v - 14826*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2 = -12. Suppose 2*i = -2*i + 3*o + 93, 0 = -4*i - b*o + 78. Find the second derivative of 9*k**3 - 22*k + 10*k - i*k wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 240 = -2*t, 3*t + t = l - 471. Suppose 163*a - 165*a = i + 230, 2*i - 5*a = -505. Let k = t - i. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11233, -46376, -104949, -186952?\n\"Answer: -11715*u**2 + 2*u + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-8)*-1*87230\/5 - -2.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 7249453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2809, 1195, -95\/4 in decreasing order.\nAnswer: 2809, 1195, -95\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2) - -2 - -26. Solve -w = 2*c + 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013284 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 12:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 298525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*k**3 - 5*k**2 + 2*k**2 + 3*k**2 + 495291*k - 495291*k.\nAnswer: -134*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loolllk. What is prob of sequence llll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Let d be 2 - (0 + -2 + 2). Let z be (l\/d)\/(18\/(-24)). Is -3 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 8, 5*k - 3*g - 335 = 0. Is (-2)\/(-5) + 742\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7076 is divided by 354?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + (-14 - -26) + -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/3 + 6468*r**3 - 1714984*r**2\/3 + 12399420*r + 12977550 = 0.\nAnswer: -1, 45, 9613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*d**2 - 54 + 8*d**2 - 598*d**4 + 12*d - 86*d**2 wrt d?\nAnswer: -7176*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 1 + 15*w + 14 + 6 - 22 to d*w + s*w**2 + i and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 0, 64 = 5*r - 2*d. Let f = -81 + 151. Calculate the highest common factor of r and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1423*q - 6*q**3 + 1428*q + q**2 - 2859*q in the form s + t*q**2 + n*q + l*q**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + 22 + -24 + 11 + (0 - -5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 44*p**2 - 1. Let o be j(1). Suppose -4*k = -3*d - 28 - o, 3 = -3*d. Suppose -4*r - 1 + k = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/2*(-14)\/(-21)*-9187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, d: 4, j: 2, c: 5}. What is prob of sequence dkj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) -0.4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092158 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 9*f - 2. Let a(y) be the second derivative of 0*y**3 + 0 + 1\/10*y**5 + f*y + 3\/2*y**2 + 0*y**4. What is the derivative of a(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:48 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 + 1.12. Let x(n) = -n**2 + 2*n + 3. Let y be x(3). Which is the nearest to y? (a) 4 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15611664 divided by 4?\nAnswer: 3902916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2302 - -386737\/168. Let l(a) be the third derivative of -1\/80*a**5 + a**2 + 0 + r*a**7 - 1\/12*a**3 - 7\/480*a**6 + 7\/96*a**4 + 0*a. Factor l(h).\nAnswer: (h - 1)**2*(h + 1)*(5*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.95, 3\/7, -5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4035222 divided by 39561\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55100 is divided by 61?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 + -690. Let m be (-6 - 0)*1\/(-2). Suppose 0 = -m*z + 7*z + 20. Which is the nearest to -1? (a) -0.5 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 4*t**2 - 4*t - 1. Let s be b(-3). Suppose 3 = -s*h + 11, -h = 4*k + 4. Let i = 2 - k. What is the smallest common multiple of i and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186929 bigger than -2430094\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**5)**10 assuming k is positive.\nAnswer: k**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = 2, 4*s = -4*f + 4. What is the third derivative of -5*i**f + 2*i**4 - 2*i**2 + 4*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596227.\nAnswer: 596227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c83 - -56?\nAnswer: -13c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba0b3b - 3?\nAnswer: ba0b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*o**2 - 482 + 243 + 239 + o**3.\nAnswer: o**3 + 240*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, g: 1, a: 9, d: 1}. Give prob of picking 3 k and 1 a.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57 take away 0.3495687?\nAnswer: -0.9195687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d + 8. Let m(y) = -2*y - 3. Let g(k) = -8*m(k) - 3*x(k). Let f = 47 - 50. Let o(r) = r**2 - 2*r + 2. Determine f*g(s) - o(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 305354 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -456*n**2 + 48*n**2 + 88*n**2 - 256*n**2 - 21*n**2 to k*n + s + q*n**2 and give q.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 110?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*w + 44 = 0, 0*g + 4*g - 44 = 4*w. Suppose -g*o + 527 = -1101. List the prime factors of o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 29*r + 11620. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = h + 678. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let n(q) be the first derivative of -q**2 + 7. Determine n(o(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2853 and 360333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2819 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6560821.6537 + -0.05\nAnswer: -6560821.7037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 8 - 24*g**4 + 25*g**4 + g**2 + g**2 + 0 + 7 to x*g + d*g**3 + t*g**4 + u*g**2 + s and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1967568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -7215.1358?\nAnswer: 2164.54074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147, -1621, -1421, -553, 977, 3163?\nAnswer: 5999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -133?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1283*d*j*k**2 - 4*d*j*k + 15*d*j - 10098*j*k**2 - 196*k**2 wrt d?\nAnswer: -1283*j*k**2 - 4*j*k + 15*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3364\/3 - 1107. Suppose -195*z + 199*z - 7*k = 7, 0 = 4*z - 4*k - 28. Which is greater: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 536\/27?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(-5*(-17)\/(-765))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130360216 (base 7) to base 8.\nAnswer: 37523520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351473753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 8*l - 4. Let i be m(9). Suppose 0*h - 2 = n + 3*h, -i*h - 50 = -5*n. What is the second derivative of -n*g**2 - 19*g**2 - 4*g + 11*g**2 wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2303 + -1?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = o. Suppose -5*c + 5*t = -100, 3*c = c - o*t + 40. Let l = 104 - c. Calculate the highest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = c - 4, 5*g - 12 = -0*c - 3*c. Factor 3*t**c + 3*t + 5*t**3 + 41 + 9*t**2 - 41 + 4*t**3.\nAnswer: 3*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332*m**3*o*q + 260*m**3*q - 63*m**2*q - 159*m*o + q wrt m.\nAnswer: 1992*o*q + 1560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:47 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66143.59 litres to millilitres.\nAnswer: 66143590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 - 3.9. Which is the fourth biggest value? (a) x (b) -7 (c) 0 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2499129550.\nAnswer: 2, 5, 2393, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + (-25)\/10. Find the common denominator of x\/(-5)*(-2180)\/(-48) and 53\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**8\/1512 + t**6\/270 - t**4\/108 - 8*t**2. What is p in u(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15020 - -1?\nAnswer: 15021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*z - 11*f - 22, 13*z - 8 = 15*z + 4*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638350230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4)*(7 + -15). Let v be d\/(-8)*28\/(-2). List the prime factors of (v\/(-7))\/(2\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*o + 3. Let r be -1*(-1 - -3) + -5. Let j(k) = 33*k + 17. Let m(p) = -22*p - 12. Let g(u) = o*j(u) + r*m(u). Determine g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3533601700 to the nearest 1000000.\nAnswer: -3534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2127, 225, -2945, -7383, -13089, -20063?\n\"Answer: -634*a**2 + 2761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3660 and 117\/710?\nAnswer: 259860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4890 = 1900*l - 1737*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/11 + 6040*c**2\/11 - 4535944*c\/11 - 36675136\/11 = 0 for c.\nAnswer: -8, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -5, 1.\nAnswer: -5, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 15. Let n(q) = -138*q**2 - q - 39. Let p(h) = -68*h**2 - 19. Let r(o) = 2*n(o) - 5*p(o). Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i**4 - 7*i**4 + 21*i**4)*(2 + 16 - 6)*(-3 + 5 + 1) + (3*i + i**2 - 3*i)*(0*i**2 + 0*i**2 - i**2) - i**4 - 4*i**4 + 2*i**4)*(-1 + 0 + 3).\nAnswer: 1360*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 18)*(-2 + 2 - z)*(-6*z + 2*z + 5*z).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19927661, 19927674, 19927711, 19927784, 19927905, 19928086?\nAnswer: 19928339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15260326 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*s + 340 = 38*s - 2877 - 1427 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 96 - 66. Suppose -5*j + 4*k - 276 = -842, 542 = 5*j + 2*k. What is the highest common factor of j and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.5852 * -257.\nAnswer: -2720.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 415\/(-135) + 1608\/(-162)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507664 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a + 6. Let t be j(3). Suppose t = -16*f - 3*f. Solve -5*y - 3*d - 2 = f, -3*y - 3*d - d = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(4 + 2 - 4)*(-2*k + 2*k - k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**4*x - 4*r**3*x**3 - 3*r**3 + 2*r**2 - 284*r*x**3 + 1 wrt r?\nAnswer: 96*r*x - 24*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 - 2 - (-8 - (-35 + -12)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 6*m + 6. Let r be w(-3). Let f(a) = a**3 - 4*a**2 + 3*a - 2. Let z be f(4). Let g = z + r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*33\/((-176)\/(-16)). Let b = -1.8 + 2. What is the third smallest value in b, -0.11, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 0, -0.1, 18, -101?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1821 + 329135?\nAnswer: 327314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/170 and -19\/136935.\nAnswer: 273870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-33)\/110 + (-186)\/(-20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -44. Suppose 5*m + s = 16 + x, 5*m = -2*s + 19. Solve 5*y = 25, 5*y - m - 18 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -19 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36415599 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 3. Give i(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9912 + 9910. Is o at most -4\/773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1142339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -15, 36, 107, 198?\n\"Answer: 10*v**2 + v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.32 + 0.14. Let w = o + 0.09. What is w rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2884365, -2884368, -2884345, -2884284, -2884173, -2884000, -2883753?\n\"Answer: 2*r**3 + r**2 - 20*r - 2884348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012090 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 66*t**2 + 11. Let r(m) = 13*m**2 + 2. Let y(i) = -4*o(i) + 22*r(i). Let z(j) = -2*j. Give y(z(s)).\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13340.53 decades?\nAnswer: 1334.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5456 and 367824424?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**3 + 11*c**2 - 8*c + 6. Suppose -30*p + 20 = -26*p. Let h(u) = -8*u**2 - 9*u**3 - 6 + 5*u + 2 + u**2. Give p*a(g) + 8*h(g).\nAnswer: -2*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -550753883013561 + 0.3.\nAnswer: -550753883013560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2208 and 5152.\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 19*o = 5*h - 57, 5*h - 54 = -6*o - 11 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59 - 0\/1 - (-8)\/(-2). Let u = 26 + -21. What is the greatest common factor of s and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 2*i**3 - 2*i**3)*(-3 - 10447*i - 59 + 10465*i).\nAnswer: 36*i**5 - 124*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 48794509.\nAnswer: -48794508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 55, 111, 185, 283, 411, 575, 781?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnndnnnhdh. Give prob of picking 1 n and 1 h.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= -66708905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7734.926 millilitres to litres.\nAnswer: 7.734926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -7.2. Let k = g - -1. Let m = 0.9 + -1.3. Sort m, k, 2 in decreasing order.\nAnswer: 2, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c)*(-c + 4*c - 4*c + (-5*c + 4*c + 3*c)*(3 - 6 + 1) - 7*c + 2*c + 3*c + 3*c - 3*c - c + 0 + 0 - 11*c + 0*c - 4*c - c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 3186*o - 3205*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:42 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -169, -403, -1043, -2293, -4357?\n\"Answer: -34*n**3 + n**2 + n - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**3 - 4*f**2 - 18*f + 6. Is p(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 193. Let v = t - -90. Suppose 0 = -9*j + 10*j - v. Solve -k - 3 = -j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*y + 6. Let f(j) = y*j - 2*j - 2*j. Let u be f(5). Which is the nearest to 1\/4? (a) -3 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 30 = 3*n. Let q be n*-1*2\/(-4). Sort -5, -1, q in descending order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 6\nAnswer: -92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(2*k + 10 - 1 - k) - 3*k - 2*k + k.\nAnswer: -6*k - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 y when three letters picked without replacement from bbbjdjbylssbs?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(216\/(-88))*3\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627 rounded to the nearest 10?\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 135663 + 135663.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*i + a = 67*i - 9, -i + 3*a - 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -0.07 (b) -1\/2 (c) -2 (d) 1123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1722 - 4088 = -10*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 20610*q + 1 - 2 + 20617*q - 4.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 + 7461.72798859?\nAnswer: 7236.72798859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -22, -23 in decreasing order.\nAnswer: 0.4, -22, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 50886, 5, -3 in ascending order.\nAnswer: -5, -3, 5, 50886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 38 + 2. Suppose 3*t = -3*y + 5*t + 4, 0 = 3*y + 5*t + g. Suppose 0*z - 6 = -3*z. Solve y*w - 6 = z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -86*i + 382. Let o(a) = -984*a + 4392. Let c(j) = -7*o(j) + 80*p(j). What is c(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xksktskxkkkxsk. Give prob of sequence xx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and -0.42462.\nAnswer: -1.92462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:23 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 - 1567*j**3 - 7*j**2 + 784*j**3 + 786*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7291 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 51. Suppose 4*n + 5*l - b = 0, -6*n + 3*n + 15 = -3*l. Suppose a + 13 = -2*o, 0 = -a + 2*a + 5. Sort o, -0.5, n in descending order.\nAnswer: n, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*s - 5*c, -4*s - 5*c = -s - 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/40*((-90)\/(-4))\/9. Suppose w - 6*w = -30. Let j = w + v. Solve 0 = -5*x + 2*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 - 517*r**2 + 501*r**2 + 12*r**3 + 3*r to the form j*r**3 + q + o*r**2 + x*r and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -1) + 28 - 38 - -53?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24218829 is divided by 297?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -1\/18, -1.5 in decreasing order.\nAnswer: 4\/3, -1\/18, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -667656680*i**3 - 61*i - 1204498?\nAnswer: -4005940080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5106640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-2) - (-72)\/(-144). What is the hundreds digit of 732 - (2 - 55\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 4*q + 10. Let v be n(7). Calculate the remainder when 26 is divided by (-6)\/(-10) - 384\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -10. Suppose -5 = s - j. Suppose 0 = -5*n - s*i + 255, -157 = -3*n + 3*i - 5*i. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 163122?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4263 divided by -5?\nAnswer: -4263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 107 - -76) + 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*(-1)\/(-1)*58\/(-2958).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81979?\nAnswer: 73, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h + 5 = -2*s, -4*h + s = 25. Sort -8, h, 4.\nAnswer: -8, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/12 + (132\/(-16))\/(-11). Let o = -0.7 + 0.8. Let n = -1 + -5. Which is the biggest value? (a) f (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.14 - 1.74. What is the third smallest value in r, -11, -2\/27?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-18)\/(-12)*(-74)\/15. Which is the nearest to g? (a) -0.09 (b) -9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -67*z**4 - 3*z**2 - 49. Let w(y) = -334*y**4 - 16*y**2 - 244. Let v(q) = 16*j(q) - 3*w(q). What is the first derivative of v(u) wrt u?\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27236566 is divided by 3326?\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -277*m**2 - 1870*m - 14. Calculate the remainder when o(-4) is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.37 + 2.6. Let z = -0.03 + i. Sort z, -2\/7, 3\/2 in decreasing order.\nAnswer: 3\/2, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-8)*w**(-4)\/w)\/((w*w**(1\/3))\/w**(-1\/6)) assuming w is positive.\nAnswer: w**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15 + 43\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose 3*b = 4*m - 95, -14 = m - i*b - 49. Calculate the smallest common multiple of 18 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -538 - -538.01405. Let d = r + -0.014. What is d rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2) - 2)*-3. Find the second derivative of -d**4 - 2*d**3 + 2*d**y - 2*d**4 + 2*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 28*x - 123. Solve 2*n - 3*n = -x*a + 28, 0 = -4*n - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815784\/29 at most 28130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + z**2 + 0*z**2 + (5*z - 4*z + z)*(-2*z + 3*z + z))*(-1274 - 3*z**2 - 2*z + 1274) as b*z**4 + r*z**3 + w*z + x*z**2 + n and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888809 is divided by 1649?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/76 and 71\/20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944138 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224696 or -223390?\nAnswer: -224696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-3 - (8 + (-20 - -4))) + -9 + 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -100*b + 422. Give m(17).\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**3\/2 - 35386257*j**2\/2 - 5897709*j.\nAnswer: -3*j*(j + 3931806)*(3*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (104 - 0 - 2)*(-1028)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*d. Suppose d*r + 0*h + 10 = -h, 4*h = -16. Let k(g) = -1 + 0 + 2*g + 4. Calculate k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*-2)\/(sqrt(9) - (sqrt(81)*1 - sqrt(81) - sqrt(81) - sqrt(81))\/sqrt(9)).\nAnswer: -22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + s - 3. Let y(l) = l**2 - 8*l + 7. Suppose 0*c + c = 5*z - 38, -5*z + 44 = -3*c. Let m be y(z). What is u(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7610.562ml?\nAnswer: 7.610562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let u(z) be the first derivative of 19*z**3\/3 - 15. Calculate o(u(x)).\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let y = -5 + r. Which is the smallest value? (a) 4 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 0*f**2 + 2*f**2)*(3938*f + 39710*f - 4532*f) to t + q*f + y*f**3 + h*f**2 and give y.\nAnswer: 78232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24050060 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)\/(d*d\/(d**10\/d*d)))\/(d*d\/(d*d**(-13)*d*d)*d**13))**(23\/3) assuming d is positive.\nAnswer: d**(-1541\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-10)\/(-4))*0. Let j(l) = -l - 6. Let v(s) = 2*s + 13. Suppose -5*d + 0*d = -25. Let f(u) = d*j(u) + 2*v(u). What is f(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1449415 and 3520.\nAnswer: 92762560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:07 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37638?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i = 12096 + 74172. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -73739.\nAnswer: -221217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-38)\/(-8))\/((-10)\/40). Suppose -2*n = -z + 2*z - 15, 2*n + 3*z = o. Suppose 18 = -n*m - 0*m. Let k(q) = q**3 + 3*q**2 + 2*q - 3. Calculate k(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s\/((s**29\/s)\/s*s))\/s)\/s*s)\/s**(-31) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 526829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(343) - sqrt(7)) - (sqrt(77) + sqrt(77) + (sqrt(77) - -2*sqrt(77)) - sqrt(77))\/sqrt(11)).\nAnswer: -130*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f. Let c(j) = -2*j**2 - 3*j + 2. What is -4*c(r) + 11*z(r)?\nAnswer: -3*r**2 + r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477 + 501. List the prime factors of p.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 * -0.05.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a + 3 - 9*a**2 - 16*a**2 + 80*a**2 - 14*a**2 - 43*a**2 as r*a + t*a**2 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:51 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 10\/(-8) - 5\/(-20). Let k be 4\/(-2) - r*128\/168. What is the third smallest value in -0.5, 0.5, 1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 37843 = -20*a + 6979. Which is smaller: a or -10289?\nAnswer: -10289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.75 - 2.15. Which is the nearest to 1\/4? (a) r (b) -5 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 28. Suppose -3*p + 4 = -p. Differentiate -61*c**p - 56*c**2 - 2 - 7 + g*c**2 wrt c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d + 3. Let k(l) = 20*l + 8. Let x(c) = 3*k(c) - 8*n(c). Let f be x(4). Solve -4 - f = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32354 < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199740161.74 - 11250.74. Let w = x - 199728975.9999948. Let p = w + 65. What is p rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/13698486 and -61\/1696.\nAnswer: 219175776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -517060*k**5 - 522*k**3 - 14411*k**2 + k + 468?\nAnswer: -31023600*k**2 - 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:38 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -162 (c) 5 (d) -0.2 (e) -371 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -13, -2 in descending order.\nAnswer: 2\/9, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-2)*3\/3. Suppose 6*z = 6 + 24. Suppose z*h - 14 = d. What is the biggest value in 5, h, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20441 (base 5) to base 9.\nAnswer: -1783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -334*i + 333*i. Suppose 0 = 2*h + i*h - 4573. List the prime factors of h.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:43 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 152. Give t(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34836*l - 11652*l - 11661*l - 11674*l.\nAnswer: -151*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/9 (b) 9 (c) -2 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -20*m**3 + 3*m**3 + 3 + 10*m**3 - 4*m**2 + m**3 + 4*m**3. Let k(r) = -r**2 + 1. Give 3*k(d) - o(d).\nAnswer: 2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(-848*w + 848*w + 509*w**2) + (0 + 0 - 2*w**2)*(-1 + 0 - 1).\nAnswer: 1531*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -105551?\nAnswer: 105530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/123 at most as big as 1207681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, 0.1, 3\/4 in increasing order.\nAnswer: -2\/7, 0.1, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {h: 2, m: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 0 - (-15 + 16). Let r = 1675 + -1680. Let h(y) = y**3 - 5*y**2 + 10*y - 3. Let d(m) = m**3 - 4*m**2 + 9*m - 2. Calculate i*h(q) + r*d(q).\nAnswer: -q**3 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 - 3 = 3*t, -5*l - 15 = 0. Suppose -f = t*r - 255, -265 = -r - r - 3*f. Suppose -a + q = -2*q - r, -2*a + 258 = -2*q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 23 + -42 + 8 - (26 + -13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 13. Let s(o) = -o - 1. Let v be s(x). Suppose 5*j + v*d = 16, 2*d + 0 = -3*j + 10. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.957786 millilitres?\nAnswer: 0.005957786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1\/(-2)*114\/(-2299)). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*o - 135*o + 105*o - 1353 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295103 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 547. What are the prime factors of m?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944710 divided by -1118.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 817473*g**2 + 1428538*g wrt g?\nAnswer: 6*g + 1634946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 381 - 381 + 0*k + 3*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9751 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1838*n + 8*n**4 - 1836*n + n**3 - 4*n**4 + 1 + 6*n**2 as z*n**4 + t*n + j + i*n**2 + u*n**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 45. Suppose -4*s = -3*s - x. What is the greatest common divisor of 78 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2945 = 5*t, -4*m + 1097 = -4*t - 1259. Let u = t - -593. Solve -4 = u*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -68. Which is the second smallest value? (a) i (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 115583, 461325, 1037571, 1844327, 2881599?\n\"Answer: d**3 + 115246*d**2 - 3*d + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 0.24, -2\/7, -2, -64?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2905*t*x**3 - 126*t - 1103*x**5 - 11073*x**2 wrt x?\nAnswer: 17430*t - 66180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150412 a multiple of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**0)))\/y)**(4\/7)*((y**0\/y*y)\/y)**(2\/3))\/(y*(y*y**(1\/3))\/y*y\/((y**2*y)\/y)*(y\/(y*y**0\/y))**(-2\/49)) assuming y is positive.\nAnswer: y**(-47\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 63*a - 7. Let g be y(2). What is the highest common divisor of 34 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 6 in descending order.\nAnswer: 6, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/19 (b) 8\/7 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 - 87*h**3 - 5841*h**2\/2 + 75168*h - 373248.\nAnswer: -(h - 9)**2*(h + 96)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7612 and 3460.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212 + -1906\/9. Are 13 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000000100100010001010101 - -1?\nAnswer: -10010000000100100010001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 328281\nAnswer: 4\/328281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/4))**(-14\/9)\/(l*l\/l**(-2\/25)*l**(-19)\/l))**36 assuming l is positive.\nAnswer: l**(17878\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10085, -10086, -10087, -10088?\nAnswer: -10089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 0, 14.61463?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -28 (c) 0.1345 (d) -0.11 (e) 2\/3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -35168 divided by 14\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1837 + 1822 - (-42 + -2 + 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 + 317. Are -0.095 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/5 in 2, -2, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55272 = 630*c - 654*c. Calculate the highest common divisor of 47 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 + 2966*n**3\/7 - 8912*n**2\/7 + 5944*n\/7 = 0.\nAnswer: -1486, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*f = 4*a - 5, 135*a = 139*a + 4*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (430 + 10*b**2 - 3*b**2 - 426)*(2*b**2 - 1 + 1).\nAnswer: 14*b**4 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020738077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7054.\nAnswer: -1\/7054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 64688.67 grams?\nAnswer: 64688670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47510524 + -47510322.999803. Let q = 201 - c. Round q to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.04 + -3. Let j = 28166 - 28171. What is the biggest value in j, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*t - 7*t. Let j be 4 - (-12)\/((-4)\/t*-11). Is -2 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*d - 8, 3*z - 142*d + 147*d - 4 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/27 + -206\/189. Let v be (-2)\/(-6) - (-7)\/(-39). Which is the smallest value? (a) v (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1878103, -3756230, -5634395, -7512616, -9390911, -11269298, -13147795?\nAnswer: -15026420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1264732211?\nAnswer: -1264732214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -125. Which is the nearest to j? (a) 0 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/4, 0, 18, -0.15, 4.\nAnswer: -0.15, 0, 1\/4, 1.1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -5 + 31 + 10. Solve -19 = 5*k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 + 2 = 0. Suppose 6 = 3*h + 3*x, -3*h + m + 6 = x. Solve -3*b = h*u + 2*b + 40, -b + 5 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182811*w**3 - 365614*w**3 + 182804*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -8*k - 8. Let g be k\/12*(-5)\/((-15)\/18). What is the third biggest value in 3\/8, 1\/11, 2\/3, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -39. Let q = s + 37.96. Let y = 0.46 - q. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 864625237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2. Let o(p) = 40*p**2. Let c = 2485 - 2510. Determine c*j(s) - 3*o(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74856 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031 less than -2798.3917?\nAnswer: -2798.3886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/8)\/(560\/(-84)))\/(5838\/(-140))?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose -2*i = -v*i + 10. Solve 3*h = 7*f - 3*f - 22, 0 = -3*f - h + i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242609620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121 or 9834.3?\nAnswer: 9834.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*k**3\/3 - 581*k**2\/3 + 2*k\/3 = 0.\nAnswer: -1, 0, 2\/583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 28. Find the third derivative of 17*j**2 + 6*j**6 - 5*j**2 + 35*j**6 + a*j**2 wrt j.\nAnswer: 4920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from {b: 1, u: 7, n: 4, w: 1, m: 4, c: 3}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44388 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 - l + 2468*l**2.\nAnswer: 2468*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 38 - (41 - (89 + -52))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Let x = -97.05 + 94. Let n = x - -0.05. Which is the third smallest value? (a) -2\/7 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1209\/(-620))\/((-5)\/(375\/18)) and -115\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8 + 11 - 25 - 5*k**2 - k + 21 + k**3. Let b be n(5). Let f be (-3)\/(3\/(-70) + 0). What is the greatest common divisor of b and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 70152385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 34*a**2 + 201*a - 233. Determine d(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2076? (a) -2.4 (b) -2\/45 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:18 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 17921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 267*a. Let w(m) = -m**2. Calculate k(w(x)).\nAnswer: -267*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j + 4 = 26*j + v, -j - 4*v - 3 = 0. Suppose 6*f - 5 + 35 = 0. Sort 25, j, f in increasing order.\nAnswer: f, j, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -5 - (3 + -3). Let i = z - -34. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*m - 13 + 32 + 38*m - 19 in the form v*m + j and give v.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9436\/11701?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/(-46) + ((-29)\/(-2))\/1. Suppose h*c - 16*c + 12 = 0. Solve 2*z + 2*l = -2*l + c, 5*z = 2*l + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 63876 = -21*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/6 + 0 + -49 + 52. Which is the fourth biggest value? (a) v (b) -0.3 (c) 0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005109707 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpw when three letters picked without replacement from odoovdopdopodowd?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3725 - -9503. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -507*n - 5. Let q be y(-2). What are the prime factors of (q - 14) + 2 + -4?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013262 rounded to four dps?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - 9 - 39 - (10 + 1)) + 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.157165 to three decimal places.\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-7) - 5)\/((-11)\/33).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.3 (c) -328 (d) 2 (e) 0.233 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqnnqnnyqqqy. Give prob of picking 3 n and 1 y.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k - 0*k. Let r = k - -2. What are the prime factors of (1 + 1)\/(r\/9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10040 is divided by 4969.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1400258?\nAnswer: 5601032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237362 = 39*f + 3284. Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 1*(0 + sqrt(304) + -5)))**2.\nAnswer: -2304*sqrt(19) + 13248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108656917043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(1288\/(-120)))\/(770\/(-49))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685193, 685529, 686083, 686849, 687821, 688993, 690359, 691913?\nAnswer: 693649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 + 4 = -3*h, 5*w - 18 = 2*h. Let z be ((-9)\/(-6))\/(-1) + (-6)\/h. Let s(j) = j + 0 + z*j + 13. Determine s(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 57 - 167 = 0. What are the prime factors of (-1 - z)\/((-1)\/(-1))?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 912\/5 + -182. Sort 3, 4\/7, s, -4 in descending order.\nAnswer: 3, 4\/7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19037831 to the nearest integer?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 116*s**2 + 130*s. Let m be o(-9). Suppose -m = -5*g + 1429. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11 + 2 = -d, -q = -1. Let g(p) = p**2 + 11*p + 3. Let y be g(d). What is the second derivative of 0*n**3 + 4*n + 3*n**y - 4*n**3 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 2*h**2)*(-h**2 + 3 - 3) + (-5*h + h**2 + 5*h)*(-2*h**2 + 0*h**2 + 0*h**2) + 0*h**4 + 3*h**4 - 6*h**4.\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*b + 18 = 118*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.27, -0.4, 2.3, -1.2, 1430?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3709953394 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 401 - 347. Suppose -x = 4*w - 678. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from jrarqwgwj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/21 - (-2)\/(-3). Let x(b) be the second derivative of 5333*b**3\/2 - 2*b**2 + 2*b. Let j be x(l). Round j to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1119)\/567)\/((-1)\/(-3)). Let m = 43\/7 + f. Let v be (0 + 1)\/1 + 2. Which is the smallest value? (a) v (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)\/v**(-8)*v*v**(-2\/41)\/v*v**(4\/11))**(-7\/2) assuming v is positive.\nAnswer: v**(-233093\/8118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/18 - 25*h**3\/9 + 42*h**2 + 307*h. Factor c(v).\nAnswer: 2*(v - 18)*(v - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2284, -20, 2.\nAnswer: -20, 2, 2284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*h + 100*h + 3*q - 456, 2*q = -4*h + 616. What is the greatest common factor of 68 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67 + 11*x**2 - 67 + (-3*x + 4*x - 3*x)*(0*x - 5*x + 3*x) + (2*x + 2 - 2)*(3*x - x - 3*x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 0, -41, -108, -207, -344, -525?\n\"Answer: -c**3 - 4*c**2 - 2*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*m - 1080, -2*m = -d - 6*m + 216. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 3*c = 62, 53 = 3*t - c. Suppose 0 = 11*v - t*v + 32244. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*d - 15, -3*d - 5*u + 3*u = -13. Let y be 3 + 1 + (1 - d). Let v be (24\/(-30))\/(y\/10). Let i(p) = p**2 + 4*p - 2. Calculate i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8449939639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + t**4 - 9 + t**2 - 3 - t**3 to the form k*t**2 + l*t + g*t**3 + x*t**4 + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -j + 12, 6*j + 258 = -12*n - 6*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*f - 4001 = -8604 - 4643 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 5, u: 2, t: 8}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*f - 4*k - 28 = 90*f, 5*k + 23 = f. Suppose 4*c + 0*c - 16 = 0. Solve -2*d - 18 = c*j, -2*d = f*j - 0 + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**3 - 3*x**3 + 6*x**3)*(50 + 81 - 34)*(1 - 1 - 2*x)*(2 - 3 + 2) to i*x**3 + d*x**4 + z*x + n*x**2 + r and give d.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s)\/(s\/s**(-3\/20)*s)*s\/(s\/s**(-3\/31))*s**(6\/5)\/s assuming s is positive.\nAnswer: s**(-1579\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.40721, 1\/5, -2\/29, -0.5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32997796 greater than 32997796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 110, 234, 470, 854?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1268, -39, 3, 6, -3.\nAnswer: -1268, -39, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*r + 157*r - 88*r - 2 + 65*r + 30*r.\nAnswer: 315*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 305*x**2 - 587*x + 4. Let y(q) = 305*q**2 - 589*q + 5. Let b(z) = 5*i(z) - 4*y(z). Find the second derivative of b(p) wrt p.\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146252 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8120 less than 8117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31513.31137 less than 3?\nAnswer: 31516.31137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5808) + 2)*-4 + -1)*4*-6 + -5)**2.\nAnswer: 1782528*sqrt(3) + 53571049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*sqrt(1008)*2 + 1 + -1*sqrt(1008))**2.\nAnswer: 216*sqrt(7) + 81646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34067316 = 11*s - 21814631. Suppose 4*f = -s - 1399823. What is f rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408950?\nAnswer: 2, 5, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqqoqqoooqq. Give prob of sequence ooo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5819122?\nAnswer: 2, 73, 39857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 35 = -4*g. Suppose -220 = -4*s + 4*b, -g*s + b = 2*b - 200. Let c = s - 45. Calculate the smallest common multiple of 5 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203412 and 3750932.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4 + 3092*p**3 + 12324*p**2 + 15388*p + 6152 = 0.\nAnswer: -769, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(162)*-1 + sqrt(162) + sqrt(162))*-3.\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10923472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 + 42169\/132. Find the common denominator of 770\/(-630)*(-84)\/(-8) and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c + 2*c - 4*c + c + 2*c + (-3*c + 3*c + c)*(-1 - 2 + 1) - 6*c + 4*c + c + (4 + 3 - 5)*(c - 4*c + 2*c) - 1 + c + 2*c - 2*c.\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - v = -f + 4, 2*f + 4 = -v. Suppose -w + f*w + 2 = 0. Find the third derivative of 2 - 2 - 2*p**2 - w*p**3 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 62*c**2 - 1036 - 2*c - 849 - 299 + 6547 wrt c?\nAnswer: 6*c**2 + 124*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/15876)\/((-105)\/147)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 + 498*d**2 - 6*d + 6. Let w(l) = 14*l**3 + 1494*l**2 - 17*l + 17. Calculate -17*m(f) + 6*w(f).\nAnswer: -f**3 + 498*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n\/(n*n*n\/n**(-2\/25)*n))\/n)\/n)*n\/n**9*n**(-9)*n**(-6) assuming n is positive.\nAnswer: n**(-423\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223617650 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 8*o - 2. Suppose -2 - 5 = -f. Let x be u(f). What is the units digit of x\/(-15) + 4\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -9a6311?\nAnswer: -9a630b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44797 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685095.\nAnswer: 3, 5, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 128*p**2\/7 - 250*p\/7 - 124\/7.\nAnswer: -2*(p + 1)**2*(p + 62)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20491 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 the second derivative of 36*a*c**4 + 8*a*c**3 - 31*a*c - 29*c wrt c?\nAnswer: 432*a*c**2 + 48*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4, -3*h + 2*g + 10 = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + 4*(sqrt(66) + 3*sqrt(66))))*3*-2)\/(-1*sqrt(5400) - (sqrt(2646) + -1*sqrt(2646) + sqrt(2646) + sqrt(2646) + sqrt(2646))).\nAnswer: -32*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 47 (c) -0.04 (d) -1 (e) -162 (f) -2\/9 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538098304 a multiple of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 8*k**2 - 20*k - 89. Determine r(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18465, -17945, -16547, -13833, -9365, -2705, 6585, 18943?\n\"Answer: 73*a**3 + a**2 + 6*a - 18545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 times -0.06?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 70 = -f - 3*f, 0 = 3*f - y - 50. Suppose -39*o + f = -34*o. Let w(g) = -5 - 10 - g**2 + 16 + g**o. What is w(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.301 and 14333.\nAnswer: -4314.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*77\/(-2772)*((-4)\/(-90))\/((-57)\/(-95)).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = 20*m + 126, -5*m + 23 = 12502*u - 12506*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 148, 147, 136, 109, 60?\n\"Answer: -g**3 + g**2 + 3*g + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n\/(n**(6\/7)\/n)*(n**(-2\/5))**(-41) assuming n is positive.\nAnswer: n**(684\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*d**2 - 799*d**2 + 409*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:22 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -7, 27 in decreasing order.\nAnswer: 27, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 16, -2 in ascending order.\nAnswer: -7, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 8501, -1.\nAnswer: -1, 1, 2, 8501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let a be (-3 + 33\/2)\/(5 - -7). Which is bigger: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 18*q - 823. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*i = -10*f + 824, 3*f - 4*i - 1256 = 0. Suppose 0 = -4*m + 2*t + f, -8*m + 7*m + t + 103 = 0. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029848120 a multiple of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1898 - 1894. What is the least common multiple of 703 and u?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691544020.\nAnswer: 2, 5, 17, 2033953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/(28\/(-546)) + 70\/56.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22919 rounded to three dps?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/8 + 35*k**3\/6 + 12*k**2. Let m be h(-12). Let r = -8 + 13. Which is the second biggest value? (a) r (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 47 = -4*t + b, -3*b = -3. Calculate the remainder when ((-3)\/2)\/((-2)\/8) is divided by ((-10)\/t)\/((-2)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**6\/144 + m**4\/3 - 2*m**2. Let c(k) be the second derivative of z(k). What is the remainder when 96 is divided by c(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 5*o - 3*o**2 + 8*o**2.\nAnswer: 5*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2179509*o + 514668*o + 1664843*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -0.5, 3 in descending order.\nAnswer: 6, 3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -67*y + 47. What are the prime factors of j(-3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 4, h: 2}. Give prob of sequence nnhp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l**14*l)*l*l*l**(1\/11)*l*((l*l**1*l)\/l)\/(l\/(l*l\/(l*l*l**(2\/3)*l)*l)) assuming l is positive.\nAnswer: l**(-316\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 98*l + 2631. Let b be n(-50). Calculate the greatest common factor of 15 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {z: 1, g: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 63578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.631 and -1.2.\nAnswer: -3.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -130*w**2 - 390*w + 2. Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28626 + -1458?\nAnswer: 271ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2\/8 + 219*g\/8 + 111\/4 = 0.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**17\/r*r*(r\/(r**(1\/3)*r))\/r*r**(1\/21)\/r**(-2\/27) assuming r is positive.\nAnswer: r**(2984\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 12 - 206*r + 1773*r + 13.\nAnswer: 1567*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -0.003244?\nAnswer: 0.203244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*w + 29, -2*g - 1 + 11 = 2*w. Suppose -4*r = -n + g*n - 61, 0 = 4*r + 4*n - 60. Suppose 4*s + r - 198 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 135218?\nAnswer: -2\/67609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzddedezed. What is prob of picking 1 d and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978 and 93236?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-15))\/n)\/n)**(-4\/25)*((n*n**(-7\/2))\/n)**(1\/25) assuming n is positive.\nAnswer: n**(121\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1841422 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -377 + 356. Let d(t) = t**3 + 18*t**2 + 6*t + 35. Let w be d(n). Round w to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16*q - 16836 = 81*q. Is -157 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t**3 - 11*t**3 - 3*t**3 - 7*t**3 + t**2 + 1. Let q(n) = -n**3 + 3*n**2 - n + 3. Calculate -3*i(d) + q(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84123 is divided by 42040?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -317 and 317535374325?\nAnswer: 317535374642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 576.6785 days?\nAnswer: 830417.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3053481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 487585\nAnswer: -48758.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8811 and 623.\nAnswer: 61677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (35 - (113 - 40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 538*h**2. Let o(j) be the third derivative of -j**4\/12 - 149*j**2. What is y(o(z))?\nAnswer: 2152*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-13794)*-19)\/(74\/(-444))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 2 + 2 + (i - 4*i + i)*(-i + i**2 + i) - 12*i - 21*i**3 + 12*i.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 4*f**2 + 1 - 5*f**2 + 2*f**2 + 0. Let d(j) = 4*j**2 - 6*j + 6. Let y(a) = d(a) - 6*q(a). Let y(w) = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169226?\nAnswer: 2, 191, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 c when three letters picked without replacement from uxcwwwiwwxcw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 18 + 3*n + 5*n as h + s*n and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 143, 232, 327, 428?\n\"Answer: 3*p**2 + 74*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 3*y**2 - 3*y**2 + 5*y**2 - 3*y**2.\nAnswer: 2*y**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20421777?\nAnswer: 3, 17, 31, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 440 = 30*d + 491 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o + 38. Suppose -g + 5*m - o = 19, -84 = 2*g - 2*m. Let s = -38 - g. Put s, 9, 1 in ascending order.\nAnswer: 1, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 0, 4*d - q - 8 = -12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 658, 1162, 1666, 2170?\n\"Answer: 504*x + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*m + 1152 = -0*f, 1920 = 5*f - m. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 2\/17 (c) -4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 19*i + 67. Determine n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29081707637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/5 + -4 + 1044\/3. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32131*i**5 + 5*i + 1718?\nAnswer: -642620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 46 + 14. Let i be d\/(((-5)\/(-35))\/1). Suppose -3*j + 2*o - 11 = -80, o + 87 = 4*j. Calculate the highest common divisor of j and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 42 + 174. Calculate the greatest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*6\/34. Suppose -2*n + 49 = -3*x + 48, 0 = -4*n - 4. Is x smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(-3)*2480\/930?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 + p**4\/24 + p**3\/6 - 73*p**2. Let z(n) = n**3 - 11*n**2 - 11*n - 11. What is -44*o(x) - 4*z(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*c = -0 + 2, -3*p + 5*c - 19 = 0. Let k = -195 + 195. Suppose k = 9*q - 54 + 36. Sort q, p, 0, 5 in ascending order.\nAnswer: p, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84232\/(-2)*5\/(-20)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrrqrrrrrqqq. What is prob of sequence qrq?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(51)\/sqrt(3) - sqrt(17)))**2 + sqrt(17) + (-1 + sqrt(1377))**2.\nAnswer: -17*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49123514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1821, -5968, -12879, -22554?\n\"Answer: -1382*q**2 - q - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 153*i\/4.\nAnswer: -3*i*(i + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b - 13. Solve b*c - 13 = 5*x, -2*c - 6 + 4 = 2*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {w: 1, m: 2, f: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 397 divided by -6274\nAnswer: -397\/6274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2006? (a) 137 (b) -2\/3 (c) -3\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12427\/3 - -4142. Sort -0.09, 4, -3\/4, j in increasing order.\nAnswer: -3\/4, j, -0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 5*t - 2. Let u be h(-3). Let j be ((-8)\/10)\/((-1)\/u). Let z(q) = -q**2 - 5*q - 4. Let c be z(j). Solve -b + 3*b + 10 = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -b + 23, 4*c - 3*b - 94 = 12. Let y be 1 + (-17)\/1 + 2. Let i = c + y. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9332751 months to years.\nAnswer: 0.077772925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4519 (base 11) in base 10?\nAnswer: -5949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 11) to base 8.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1216*o + 586*o - 481*o to the form w*o + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162475 + 38684 = 64*u - 8889. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = 117*q + 106*j - 104*j, 3*q + 4*j + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5019 + -0.5019. Which is greater: h or 2833?\nAnswer: 2833","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.02 (c) 0.5 (d) 15 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/2 - 18*j**4 + 151*j**3\/2 + 687*j**2 + 936*j = 0. What is j?\nAnswer: -39, -3, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.7, -1.1, -2.\nAnswer: -9.7, -2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -14. Suppose -101 = 4*x - 41. Is 88\/5 + z\/x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 895*i + 1786.\nAnswer: (i + 2)*(i + 893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let t be (-515)\/(-11) - 2\/(-11). Suppose p = -4*q + t, q + 4*p = 3*q - 28. What is the tens digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (0 + 29 - 11 - -7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2 and 61\/287.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2489485 - 0.249. What is p rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5631064 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 1.3, -0.59, -2, -6, 0.2, -4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -439 - -443. Suppose -8 = -0*b - 4*b. Suppose b*q + 15 - 5 = a, 5*q = a - 4. What is the remainder when a is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 - 2*g**3 + 3*g**2\/2 + 2*g - 1736. Suppose -7*c - 7 = -3*z - 3*c, -3*c + 26 = 4*z. Give d(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 2. Let a be f(1). Let h be 0 + 8\/4 - a. Suppose -5*p - h = -4. Is -1\/3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 105 + 138)*((3 + 2 - 2)*(s + 2*s - 2*s) + 1 - 1 - s)*(4 - 5 + 3 + 4 - 1 - 4 + (4 - 3 + 0)*(0 + 1 + 1)).\nAnswer: -462*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 95 = 0. Let a = y - 19. Which is greater: 2\/85 or a?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-11)*n)\/n)**33\/((n\/n**(-6\/19))\/(n\/n**(2\/51))) assuming n is positive.\nAnswer: n**(-288137\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17037 + -67577\/4. Let n = i - 142. Determine a, given that 3\/4*a**2 - n + 0*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3006\/41 in 5, 0.5, -41, -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 + 11*b + 9. Let l(m) = -14*m**2 + 32*m + 26. What is 17*j(o) - 6*l(o)?\nAnswer: -o**2 - 5*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49*2\/14*2\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c**2 - 3*c + 4. Let l be u(3). Suppose -l*t + 3908 = -101*t. Suppose -5358 = -4*d - t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*n - 109 = 473, -3*n = 0. Let c = -191 - g. Solve c*s + 0*s = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 331*m + 1. Let p(s) = -s. Calculate p(w(a)).\nAnswer: -331*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 54, 79, 106, 135, 166, 199?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49569 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.26\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 1428.\nAnswer: 44268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1235, 4919, 11061, 19661, 30719, 44235?\n\"Answer: 1229*k**2 - 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4779, -9778, -14777?\nAnswer: -19776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*g + 34 = 0, -14*l + 8*l = -7*l - 4*g + 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*-3*1*37\/(-1073)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0405 and -31?\nAnswer: -1.2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-15))\/(4\/(-6)). Let a be (-4)\/(n - 12\/8). Is 27 a factor of 4\/a*9*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57470132?\nAnswer: 2, 17, 733, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x - 9*x - 24*x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 2, -0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-11 - -6) + -1 + 0 + -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 67731607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 115*t + 2677. Determine d(83).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(43\/(-6))\/43*128.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3226835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45494944 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 596, 2, -2.\nAnswer: -2, 2, 3, 5, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 189\/36 - (-2)\/(-8). Suppose -4*i + 15 = c*b, 4*b + 0*b - 2*i - 12 = 0. Suppose 4*v - 23 = -3*g, 5*g = b*v - 6 - 4. Which is smaller: g or 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-19)\/x)*x**9*(x*x\/x**(-2\/9))\/x**(-1\/29) assuming x is positive.\nAnswer: x**(8419\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 5 (c) -2 (d) -5 (e) -2125\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20217665 + 5?\nAnswer: 20217672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + 4 + (-1*sqrt(1539) - sqrt(1539)) + sqrt(1539) - 3*(-1 + sqrt(19) + 0 - sqrt(76)\/sqrt(36))))**2.\nAnswer: -264*sqrt(19) + 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/36 - 7\/(35\/6). Is w at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -36*o + 21. Let d(l) = l**3 + 7*l**2 + 45*l + 426. Let q be d(-8). Let g(j) = -7*j + 4. Give q*a(n) - 11*g(n).\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 26 = -5*q + 8, 0 = -3*t + 5*q + 6. Let h be (t\/2)\/((-27)\/180). Solve k = -h + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14222 and 10393.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 2\/45, 0.2, 5, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36994544 - 73989098 - 69*h + 36994554 + 67*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2 - 42. Let z(k) = k. Determine -6*f(a) - 13*z(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*k**2*z + 1183*f*k**2 + 3*f*z + f - k**2*z + 4*z - 62 wrt k?\nAnswer: 4*f*k*z + 2366*f*k - 2*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3780 - 48992*u + 24888*u + 25379*u - 5*u**2 = 0. What is u?\nAnswer: 3, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101110 (base 2) to base 8.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 8*l. Suppose -14*g - 80 - 4 = 0. Give z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/((-89)\/(-712)*3\/(6\/(-16)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1134*j**4 - 675*j**4 + 768*j**4)*(-2 + 3 + 7)*(-1 + 5 - 2) in the form r*j**3 + s*j**4 + w + d*j + z*j**2 and give s.\nAnswer: 19632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 3410?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/57)\/((-14)\/7448*-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14091 is divided by 4680?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in 1, 1\/4, 3, -18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12886.3 - -48958.\nAnswer: 61844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o = 4, 4*o + 87013 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 + 3*l**2 + 0*l**2 - 5*l**2 to the form u*l**3 + z + d*l + q*l**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (74 - 30) + 6 + -90\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13049 * 28.\nAnswer: 365372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 0, 3*v + 130 = -5*b. Which is bigger: -22 or b?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 19. Let d = 11 + -12. Let m(h) = 5*h - 4. Let b(k) = -k + 1. Give d*m(o) + l*b(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60252 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 4*y**5\/15 - y**4\/12 + 4*y**2. Let p = -18 - -17. What are the prime factors of g(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 222*l - 686*l**2 + 686*l**2 + 40*l**3 - 223*l to the form u*l**2 + q + a*l**3 + r*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 64 - 22)*(-t + 3*t - 3*t) + 9 - 2*t - 4*t + 4*t.\nAnswer: -108*t + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2\/9 (c) 0.5 (d) 2.8 (e) 1\/43 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 36287*i + 72615. Calculate a(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25739820 divided by -580?\nAnswer: -44379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7096273 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 0*x)*(-88*x + 86*x - 3*x**2 + 0*x**2 + 1) to u*x**2 + q*x + b*x**3 + v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 7*p - 623. Let a = p - -529. Suppose 220 = 10*y - a. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by (-54120)\/(-704) - 2\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {f: 2, j: 1, v: 4, m: 9, x: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(6*t - 3*t - 2*t) + 3997 + 2016 + t - 2656 to o + c*t and give o.\nAnswer: 3357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 99*v\/2 + 13216 = 0.\nAnswer: -64, 413\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 2*j, 0 = -5*c - 4*j - 36 + 55. What is the second smallest value in c, 34, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6750.0093973 - -6750. What is d rounded to four dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1488922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*10\/(-700)*-15. Sort -2, -4\/7, 0.01, l in decreasing order.\nAnswer: l, 0.01, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:19 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 7*a - 17178. Let f = 1828 - a. What is the tens digit of f\/2 - 1*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 - 9*r - 8. Calculate s(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 0.05 (c) -3\/5 (d) 2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.0267.\nAnswer: 0.00534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*h - 13, -4*x = -5*h - 0*x + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/3, 2\/5, -75011, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.913866 - 0.573076?\nAnswer: -315.486942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = m, 5*m + 0*q + q = 27. Suppose m*p + 2*z - 3*z = 0, -3*p - z = -8. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1243, -1\/4?\nAnswer: 1243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i*j**2*t**2 - i*j**2 - 8*i*j*t**2 + 1082*i*t - 2*j**2*t + 5*t**4 + 2 wrt t.\nAnswer: -22*i*j**2 - 16*i*j + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*g**2 + 42*g**2 + 140*g**2 + 46*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*b - 484*b + 229*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19017\/7792 + -3\/974. Let m be -8 - -4 - 162129\/54. Let b = m - -3010. What is the common denominator of b and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 393 - 393. Suppose q = -d*q - 3*s + 14, -s = 2*q - 3. Suppose 2*l + 8 = -0*l. Which is the closest to 0? (a) q (b) l (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 13. Suppose -i*c + 2 = -5*c. Suppose 3*k + 2*y - 24 = 0, -k + 0*y + c = 3*y. Solve 5 + k = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.269 and -3?\nAnswer: 0.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:38 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -704*x - 53. Let b(v) = -v - 18. Calculate o(b(u)).\nAnswer: 704*u + 12619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107427451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 1 (b) 6 (c) -12 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = 3*m - 0, 2*m + 2*v = -6. Let i be 1*17 + m + 2. Solve 3*h - 6*h = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21151, -42306, -63461, -84616?\n\"Answer: -21155*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffikkfkfi. Give prob of sequence kk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -102.7 and -188453.\nAnswer: -188555.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 34. Suppose 0 = -y + 16 + v. Suppose -y*q = -16*q - 1737. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4074703, 4074705, 4074707, 4074709, 4074711, 4074713?\nAnswer: 4074715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 49*u - 53*u = -32, 0 = 3*o - u - 48. Let k(m) = -m + 68. What is the remainder when k(0) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82749.00061557 - -82749. What is d rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3102076\/45 or -68936?\nAnswer: -68936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 8. Let y be t(0). Let j = 111\/22 + -1281\/110. What is the common denominator of y\/(-6) - 2\/(-4) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:37 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqq when three letters picked without replacement from rxtqoqnnotnnn?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199984*r**3 - 394552*r**3 + 197134*r**3.\nAnswer: 2566*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1673 - 1013. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/89056 and -93\/4840?\nAnswer: 445280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -371*c**4 - 9*c**5 - 1125*c**3 - 396*c + 164*c**4 - 1536*c**2 - 39*c**4 = 0. Calculate c.\nAnswer: -22, -3, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6113, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54710 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 277134861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 3*f + 0*f - 5*f - f - 11 - f**2. What is n(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5534468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.011?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 3. Calculate the remainder when 67 is divided by d(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 40375966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*h - 23, 3*g + h - 152 = -g. Let i be g\/1 - (-9)\/(-9). Let l be 2 + (2 - i\/9). Which is the biggest value? (a) -0.5 (b) l (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8733 = u. What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 greater than or equal to -537\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let v = d + 40. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 2*f**2 + f. Let w be m(-2). Solve -w*q - 5*u - 10 = -q, -2*u = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1018, 1, -3 in increasing order.\nAnswer: -1018, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and -22.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose -w*n = 2*d - 19, n = -4*d + 2*n + 17. What is the second derivative of -3*t + t**d - 4 + 5*t + 4 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 20 = -2*l, l + 3*b = -2*l + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 9*y + 8. Let j be l(7). Let f be (j\/(-8))\/(63\/(-56)). Is f at least as big as 16\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, -2, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4938 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656 and 1608922.\nAnswer: 12871376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-30) + 728\/60. Find the third derivative of -2*z**2 + 35*z**2 - 41*z**3 + a*z**3 wrt z.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44072 is divided by 14679.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*j**1)\/(j*(j\/(j**(-1\/4)\/j))\/j*j)**12*(((j*j**(2\/19)\/j*j*j*j*j)\/j)\/j**2)\/(j*j**(-1\/4)*j**(-4\/9)) assuming j is positive.\nAnswer: j**(-30233\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-66)\/33)\/(-1 + -2 + (-21)\/(-6)). Which is the closest to 1? (a) -31 (b) l (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:45 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 5*b**2 + b + 4. Suppose 2*z + 3*z - 144 = 3*r, 0 = 5*z - 2*r - 146. What is the remainder when z is divided by l(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(1\/(-21)))\/(((-3525)\/50)\/47).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 1 + -3)\/((3\/(-6))\/1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 438 - 10. Calculate the remainder when t is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-650*z + 650*z - 56*z**3)*(3*z + z - 3*z) to the form k*z**2 + a*z**4 + u*z**3 + m*z + h and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.387 + -3.613. Put z, -5, -0.08 in ascending order.\nAnswer: -5, z, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/3501 and -55\/10026864.\nAnswer: 10026864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1718311128 to the nearest integer?\nAnswer: 41453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 39078740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560788600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 2. Let g(l) = -16*l - 11. Let c(f) = 2*g(f) + 11*q(f). Let y(w) be the third derivative of 0 + 0*w - w**2 + 1\/6*w**4 + 0*w**3. Give y(c(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*w + 35 + 291, -5*w = 2*p - 113. Let a(r) = -11*r + 5. Let t be a(4). Let z = t + p. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 - 3*y**3 + 12*y + 3. Suppose 0 = 2*o + 6 + 12. List the prime factors of b(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 4 - 3*o**2 - 5*o - 32*o**3 - 6*o**3 - 16 + 39*o**3 to g*o**3 + t + x*o + w*o**2 and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8065188?\nAnswer: 2, 3, 224033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.5, 0.4, 2 in descending order.\nAnswer: 2, 0.4, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438 + 62. What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 139 = -260. Let x = -72 - z. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78683 + -48672. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1922673, -1922679, -1922689, -1922703, -1922721?\n\"Answer: -2*f**2 - 1922671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 16 + -3 - (21 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**3)\/(r*r**(-4\/11)*r*r))\/(r\/(r\/((r\/r**(1\/5))\/r)*r)*(r**(5\/6)\/r*r)\/r) assuming r is positive.\nAnswer: r**(1231\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 10:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4\/3.\nAnswer: -4\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 447, 1778, 3997, 7104?\n\"Answer: 444*f**2 - f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*o - 28237 = -61*o - 1251. What is the remainder when o is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*o = 20, -4*o = 3*u - o - 30. Suppose -23 - 19 = -6*v. What is the lowest common multiple of v and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292\/1071 - 2\/153. Sort -0.4, i, 2 in ascending order.\nAnswer: -0.4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*x**4 + 97*x?\nAnswer: 2160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 9*b - 25. What is the hundreds digit of y(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 - 3*a**2 - 5*a)*(2*a**3 + a - a).\nAnswer: -6*a**5 - 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-10) + 6\/(-15). Let b(z) = -71*z**3 + 72*z**3 - 5*z**2 + d + 0*z**2. Let o(p) = -p**3 - 6*p**2 + 7*p + 5. Let w be o(-7). What is b(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161\/242 + 24\/121. What is the common denominator of (2\/(-24))\/((-2)\/(-111)) and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/85 - -211\/595. Let b = -61\/133 + 6\/19. Let n = d + b. Put -5, -3, n in increasing order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/221630 and -61\/68820.\nAnswer: 41223180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - g = 4*f + 28, -4*f - 28 = -539919*g + 539945*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 1. Suppose 2 + 8 = -10*d. Give r(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78688*w - 2*w**2 - 78688*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 9, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3 - 3 + (-x + 0*x - 2*x)*(1 - 2 - 1))*(5 + x - 5)*(6*x - x**3 - 6*x).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 - -0.06. Let q = -14.1 - 2.9. Is a < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.79 + 1.99. What is the biggest value in 1, 0.01, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 1515?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 13*t**2 - 18*t - 37. Give f(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 216 = 49*i - 39*i. Solve -103*l + 105*l - 5*g + 19 = 0, -i*l - 4*g = 17 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 6*h**2 + h + 1. Let q be o(-3). Calculate the remainder when 58 - q - (8 + -4) is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkffk. Give prob of picking 2 k.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 131382164?\nAnswer: -131382164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199971, 2399951, 3599931, 4799911, 5999891, 7199871?\nAnswer: 8399851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.181 * 0.3.\nAnswer: 0.0543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2. Let x(d) = -1430*d. What is x(k(b))?\nAnswer: -2860*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 12*y + 12. Let n(j) = -8*j**2 + 34*j + 34. Let r(h) = 6*n(h) - 17*x(h). Let l(g) = -g. Give r(l(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 3, q: 2, o: 1, p: 4}. Give prob of sequence lpr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 37. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23617 + -23100. What is the remainder when o is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 1341 = -u - 238*x, 0 = -u + 5*u - 2*u + 3*x - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 16 = 4*g - 4, -2*g - 6 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -94 + 54 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 24350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719463.66 plus 46.3?\nAnswer: 719509.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 8\/(1 - 5). List the prime factors of t\/(-4) - 297\/(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 8*c = 6. Suppose -b + 7 = 4*w, -c*b + 0 + 4 = -2*w. Differentiate -3 + 2*j**3 - 6*j**b + 3 + 4 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264310953 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + (-2 + (3*(sqrt(612) - -1*sqrt(612)) - sqrt(612)) + -2*(1 + sqrt(612) - sqrt(612)))*-1)**2 + -2).\nAnswer: -1800*sqrt(17) + 91938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/5 + 6389*r**2\/5 - 10580384*r\/5 + 1188456676\/5 = 0. What is r?\nAnswer: 121, 3134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(128) + 1)**2 + (-2 + sqrt(162) - (sqrt(2)*-1 + 5)).\nAnswer: -118*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let g = -41\/11 - -153\/44. What is the nearest to r in 3\/4, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k + i + 3, 4*k + 4*i = -12. Suppose k = -3*d, d + 3 + 9 = -g. Let m = -7 - g. Solve 0 = -m*z + 2 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 40581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9684*u - 4 + 4 + 8650*u.\nAnswer: -1034*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11520525 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508328422.\nAnswer: 2, 7, 37, 127, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 + 4 - 11 + 7.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117301 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1801*b**3 + 51*b**2 + 28*b + 5. Let k(h) = 900*h**3 + 25*h**2 + 14*h + 2. Let y(g) = -5*k(g) + 2*q(g). Find the third derivative of y(n) wrt n.\nAnswer: -5388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*x + z - 91, 2*x + 3*z = 148. Suppose v - 2*v - 4*r + x = 0, 2*r - 78 = -v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 10*q**2 + 13*q - 6. Let k = 302 - 297. Calculate the remainder when y(k) is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269*h**5 + 361*h**5 + 335*h**5 - 180*h + 0*h**4 + 10*h**4 - 8*h**4 wrt h?\nAnswer: 8540*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30258 - 30423.97. Let g = 166 + c. Suppose 4*u = 20, -h + u = h + 9. Is h bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 2. Let l = 19 - 20. Let s(n) = -6*n - 5. Let o(i) = -7*i - 6. Let y(h) = 5*o(h) - 6*s(h). What is l*y(x) - v(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.57 + -0.57. Let q = -0.269 + -1.831. Which is the third biggest value? (a) -3 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1523*o**3 + 530*o**3 - 20*o + 518*o**3 + 547*o**3.\nAnswer: 72*o**3 - 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.005 - -19.995. Let j = -46 + g. Let q = j - -19. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11258 or -193\/2?\nAnswer: -193\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h + 3*h)*(1 + 1 - 3)*(3*h - 6 - h + 0*h)*(-h - 10*h**3 + h).\nAnswer: -40*h**5 + 120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + 14 - 590003*1. What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 843 - 147 = 4*b, 232 = s - 4*b. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14858480 and 571480?\nAnswer: 14858480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/3*(-4)\/6. Let f = 10 + o. What is the third derivative of -2*k**2 - 18*k**f - 2*k**6 + 18*k**4 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2617 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let s(x) = 110*x. Determine y(s(w)).\nAnswer: -220*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -213, -0.5, 1\/6, 3\/13, -53, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244034 + 203?\nAnswer: -243531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, r: 2, e: 4}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-640)\/50*(2 - 7). List the prime factors of 2\/(-8) + 2640\/j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1184608492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 + 82 = -6*j. Let i = 139 - j. Solve i = 2*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102 (base 3) in base 15?\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7761.697 grams?\nAnswer: 7761697000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30044 plus 463234?\nAnswer: 433190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*a = -3*a - 812. What is the remainder when 86 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -13.93. Let y = -5.27 - f. Let g = y + 9.2. Which is the closest to -1.7? (a) 2\/9 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 14*a = -99, 811*c + 33 = 808*c + 4*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 16. Let w be 6\/24 + (-13)\/d. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 + 4*x**3 - 3*x**3)*(2224 + 22972 - 81 + 4891 + 1460) as v*x**2 + k*x + j + t*x**3 and give t.\nAnswer: 62932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*s*z**3 + 527*s - 6*z**3 wrt z.\nAnswer: -90*s*z**2 - 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 768328248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b**13)*b))\/b**(-5) assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013345446419 plus 0.2?\nAnswer: 0.213345446419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4805090 or 4805107?\nAnswer: 4805107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 4, -584 in decreasing order.\nAnswer: 4, -205, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -259, -821, -1921, -3739?\nAnswer: -6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - (-23 + 11)) + -12.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -847095 <= -847095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 3*c**2 + 3*c + 3. Let p be h(-2). Let z be 4*p*35\/(-4). Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/203 + -215\/1218. Let k be 2\/(-14) + 375\/(-21). Find the common denominator of k\/16 - (-2 + 0) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 242.93. Sort l, 2, 1\/7.\nAnswer: l, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 49. Let w be q(18). Solve -4*g - 4 = -w*t, 4*t - 20 + 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 3. Let h(x) = -1 - 2 - 5*x - 1. Let f(r) = 3*h(r) - 4*v(r). Let q(j) be the third derivative of j**4\/12 - 2*j**2. Determine q(f(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272813 minus -0.4?\nAnswer: 1272813.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 836 and 166.\nAnswer: 69388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 17. Let c = 66 + -30. Let h(v) = 4 + 17*v - c*v + 17*v. Give 2*d(o) - 9*h(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -166 + 34*s**2 + 339 - 33*s - s**3 - 171. Let n be g(33). Solve 3*j - 18 + 7 = -n*z, -j + 5*z = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -17. What is the second derivative of 9*l + 1 + 13*l**3 - n + 7 wrt l?\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**2\/4 - 417*u\/4 + 105 = 0.\nAnswer: -140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 + 4.31117?\nAnswer: 4.50117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 81. Let q(j) = j**2 - 10*j + 6. Let s be q(4). Let l = s + b. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -3*j + 28, -j + 15 = -3*t. Suppose -4*z - i = i - 84, -3*z - i + 63 = 0. Calculate the lowest common multiple of z and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -18. What is the common denominator of (b - 4) + 3\/8 and 0 + -2 + (-28)\/(-40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50653*h**2 - 81*h - 187 wrt h?\nAnswer: -101306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -742, -1092, -1424, -1732, -2010?\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 248445080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1280, -4286, -9294, -16304, -25316?\n\"Answer: -1001*x**2 - 3*x - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 13. Let c be w\/14 + 10\/(-14). Does 24 divide (-1)\/(c\/(-2)) - -74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 14 - 2. Let v(q) = 3*q + q + 1 - 2*q. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 913452*j + 69532879692.\nAnswer: 3*(j - 152242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, and 2 l when four letters picked without replacement from lrallpldl.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423469?\nAnswer: 423469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, -2, 1, -1826.\nAnswer: -1826, -3, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-5 - 1) + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 3*n**2 - n - 3. Suppose -2*u - 5 = 1. What is the units digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257798 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 + -3)\/(-1) + 0)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-4)\/(-12). Suppose y*w - 6 = -w. Let p(h) = h - 6. What is the least common multiple of p(8) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-2) - (9 - 9). Let k(u) = 3*u - 2. Let j(q) = -q**2 + 4*q - 2. Give f*j(y) - 5*k(y).\nAnswer: -4*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29537011?\nAnswer: 7, 4219573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -0.145, 1\/19, -4, 2\/11, -3, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(59*j + 87*j + 17*j).\nAnswer: 163*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 965 + -1615. What is the common denominator of (-1556)\/p + (-8)\/52 and 4 + 1\/(-5)*56?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228259299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4254*j**2 + 8497*j**2 - 4241*j**2 + 17163*j**3 in the form s*j + r*j**2 + c*j**3 + a and give c.\nAnswer: 17163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 26 - (42 + -125)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 35*i**2 + 9*i - 39. What is v(17)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 2151795010.\nAnswer: -2151795006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Let b = -6.1 - -6.5. Let l be (-33)\/30 - 3\/(-5). Put l, b, i in ascending order.\nAnswer: l, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Suppose -l - 1 = 2*p. Let z = 0 - -3. Which is the biggest value? (a) z (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 divided by -2?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -432*f**4 + 22*f**3 - f**2 - 36334*f?\nAnswer: -5184*f**2 + 132*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 107577 - 379970 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q - 2. Let c = -6 + 8. Suppose 4*g + 5*f = 2, 16 + 0 = c*g - 5*f. Calculate the remainder when j(-1) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788396000 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/450)\/((-93)\/10)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/20 + (-57)\/(-2). Let h = 42 - r. Suppose b - 2*c = 42, -2*c = 2 + 2. What is the remainder when b is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.262231 months to millennia.\nAnswer: 0.00093851925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-32 + 28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 2584 = 2*z, 4*j = -3*z + 3447. Suppose n - j = 2*n. Let q = -4274\/5 - n. What is the common denominator of -13\/7 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 8*g + 7. Let j be x(-8). Suppose -2*l + j*l - 30 = 0. Suppose -d - q = -l*d + 16, 2*d - 3*q - 9 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7719 = 658*r - 6277 + 9744 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*o = 4, 0 = 5*p - 5*o + 2 - 32. Suppose -2*c + g - 2 = 0, -3*c + p*c + 2 = -2*g. Let m be (-4)\/6 + c\/(-3). Solve -2 + m = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15344*d + 11587*d = 619413 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307904 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 75*q - 4 + 74*q)*(-1 + 1 - q).\nAnswer: q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717636?\nAnswer: 2, 3, 79, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35212149*5.\nAnswer: 1.76060745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/303313, -0.376, -1?\nAnswer: -2\/303313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44989 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6107 + 2731881423.\nAnswer: 2731881426.6107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {c: 16, u: 4}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.74474 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/24*(438 + 0\/(-1)). Suppose 3*y + 2*k - 1209 = 0, 4*k + g + 184 = y. What is the greatest common divisor of 62 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12917886600 rounded to the nearest one million?\nAnswer: -12918000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auar when four letters picked without replacement from uuaaaaruar.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5 - 2)*5. Let a(k) = -k**2 - 33 + 48 + 0*k - 11*k. Let z be a(r). Calculate the highest common factor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-3 - (-1 + -4)). Let p be v\/4 - 279\/(-6). Calculate the highest common factor of 32 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 + 2*q + 5. Let w be c(-3). Let g = 66 - w. What is the third biggest value in g, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2931?\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/4 - 19*k**3\/6 + 451*k**2. Give d(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2. Let p be (-4)\/(-3) + 18\/27. Let s(l) = l**2 - 4*l**2 + 2*l**p. Give t(s(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.73773 years in decades?\nAnswer: 7.573773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*g - 69. Let t(n) = -2*n - 8. Let k(c) = -2*c - 7. Let m(v) = 3*k(v) - 2*t(v). Let h be m(-14). Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -124. Let u = 25 + f. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*q - 9*q + 2*n, -5*q - 21 = 4*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -52*m**2 - m + 2. Let h(i) = 26*i**2 + i - 1. Let k(n) = -3*b(n) - 5*h(n). What is the tens digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 8744*z - 96 = 8748*z, -4*q = 2*z + 58 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78629 and 3965?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -585936, -585886, -585836, -585786, -585736?\nAnswer: -585686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2438633 (base 10) to base 5.\nAnswer: -1111014013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.13 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -152, -2, 0.2, -2\/43, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097624551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4422.39089 rounded to the nearest 10?\nAnswer: -4420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ac44 + f?\nAnswer: 4ac53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 = 2*r, -76 + 14 = -427*r + 396*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12332 smaller than -12328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 - b + 1. Let x(n) = 12*n**3 - 6*n**2 - 10*n + 12. What is -10*r(p) + x(p)?\nAnswer: 2*p**3 + 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l + 27*l + l**2 - 53*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 8*t**2. Let v be s(8). Suppose -3*f + 0*f + 4*m - 820 = v, -2*m - 10 = 0. Let d = 533 + f. Calculate the greatest common divisor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -787789*k**5 + 165*k + 1765 wrt k?\nAnswer: -15755780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 421, 631, 841, 1051?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6144323*j**5*u + 2*j**2 + 250676*j*u - 2*j + 3*u wrt j?\nAnswer: -368659380*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x + 19. Let g(s) = -s - 1. Let w be (-12 + 13)\/(-9)*-9. Give w*c(r) - 6*g(r).\nAnswer: -r + 25","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 143825836 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:11 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581763 is divided by 3618?\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:27 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 69. Let k(p) = 4*p**2 + 13. Let o be k(d). What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.403607303+-95.2\nAnswer: -91.796392697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -1\/5, -2\/11, -50, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3095 - 40234\/13. Suppose 13 = 3*u + 1. Which is the closest to i? (a) 0.4 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p. Let w(x) = -16949020*x**2. Calculate v(w(k)).\nAnswer: 101694120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22*63\/(-12))\/((-78)\/12 - -7) is divided by 121.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -k - 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:03 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 8*k**2 + 4*k - 15. Determine g(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 157525640 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69660 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -11*b**4\/24 - 125*b**2\/2 + 164. Let y(c) be the second derivative of i(c). Let s(j) = -72*j. Calculate -5*s(v) + 32*y(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-5) - (-1 - 73\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 118*d. Let a(m) = 188*m**2 + 2*m. Determine u(a(j)).\nAnswer: 22184*j**2 + 236*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a factor of 95128782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 98, 191, 320, 485, 686, 923?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**4 + 371*z**3 - 29151*z**2 + 3*z?\nAnswer: -120*z + 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 975916434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1210 divided by -130\nAnswer: -121\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29411312 and 135536?\nAnswer: 29411312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7431?\nAnswer: 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-40)*(2405\/572)\/37?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9038 and -77\/24.\nAnswer: 108456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*m - 10, 14 = -5*b - m - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 56*x**2 + 112*x - 133. Is j(-53) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1094733 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7288\/40 + (-1)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*(-4)\/(-90))\/((-2)\/(-50)). Which is smaller: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(1 + (sqrt(2736) + (sqrt(2736)*3)**2 - sqrt(2736))*-6).\nAnswer: 4432290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -591994 or -2367981\/4?\nAnswer: -591994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 552786\/3135 - (4\/(-5))\/2. Which is smaller: 178 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241953 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.10495 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1504214069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 = -18. Suppose i*q - q = 1266. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 26570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -575 - 4376. Let u = 7344 + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 1, z: 1, b: 2, l: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -137. What is the units digit of 304\/h + (-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*b + 21*b - 130842 - 268862 = 0. Is b a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h, 0 = 3*u + h + 3 + 2. Let m = u + 7. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*o = 147*o + 224 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103559971 divided by 17?\nAnswer: -6091763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3512 < -10535\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 0.32 (c) -14 (d) -0.3 (e) 4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of -7 + (-69)\/(-9) + 931\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/7, -5\/6, -2\/3 in decreasing order.\nAnswer: -1\/7, -2\/3, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:50 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(832) + 1.\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 9*z + 10. Let w be i(-4). Solve 3*k - w = -3*u, k + 2 = 3*k + u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2151637242 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65553842\/29 bigger than 2260477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 + 3*y - 1. Let u be l(-3). Let a = u - -59. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807008819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (22 + -19 - 21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*b = 2*b + 10, 4*b = 2*s + 16. Suppose 2*q - a = a - 4, -3*q - 2 = -5*a. Let w = 4 - q. What is the highest common divisor of w and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*10)\/((-22)\/3*36\/(-66)). Which is the smallest value? (a) y (b) -1\/3 (c) -2\/13 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vztyyv. What is prob of picking 1 z and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-127)\/(-5))\/(1\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15877012.4 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a**4 + 0*a**5 + 0*a**2 + 5\/7*a**7 + 0*a**6 + 0*a - 1\/3*a**3 + 1. Find the third derivative of r(w) wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.628 + 2.78. Let k = m - -0.148. What is the third biggest value in k, -2, 2\/3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*s - 24 = -84, 5*y + 4*s = 276. Let h(j) = j**2 + 2. Let p be h(-5). Let g = y - p. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/7 - 431*m\/7 + 46134\/7 = 0. Calculate m.\nAnswer: 198, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s - s)*(2*s**3 - 6*s**3 + 0*s**3)*(18*s + 62*s - 522*s)*(0 - 1 - 1).\nAnswer: 10608*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 23)*8\/(-16). Let r = 4 - x. What is the remainder when 38 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**36\/(a**(2\/21)\/a) assuming a is positive.\nAnswer: a**(775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579021.\nAnswer: 3, 257, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o)**(6\/13)\/(o**(1\/3)\/o**0)*(o**1)**2\/(o**(4\/7)*o*(((o*o**5*o*o*o)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-7178\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1103*c + 19. Let r be s(13). Let p = r + 315109\/22. What is the common denominator of p and 59\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/36)\/((-40)\/(-160)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**2 - 4*d**4 + 10*d**2)*((0 - 5 + 3)*(1 + d - 1) + 4*d - 3*d + 0*d + 0 + 0 + 21*d + 2 + 2*d - 2).\nAnswer: -88*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 3, u: 1, w: 7, o: 2, t: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*i - 9, -3*i - 924 = -a - 913 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*p + 237*p + 236*p.\nAnswer: 745*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 2657, 3995, 5329?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195064 divided by -2?\nAnswer: -1097532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757 is divided by 968.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 20505*d + 2316050.\nAnswer: -5*(d - 110)*(d + 4211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 200. Let g(y) = 2*y - 198. What is 2*g(r) + 3*o(r)?\nAnswer: -2*r + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1152773489*b**4 + 190457557*b**2.\nAnswer: -27666563736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m + 23 - m - 4*m + m. Let a be (-3 - (-13 + 3)) + -1. Let o(k) = 2*k - 4. Give a*x(p) + 34*o(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 169?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/16*(2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dd + 2?\nAnswer: df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from oovvooovvovv?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3*t**2 - 3*q**3*t - 16400*q**3 - 224*q**2*t**2 + 4*q*t**2 - q*t - 404*t**2 + 4*t wrt t?\nAnswer: 2*q**3 - 448*q**2 + 8*q - 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + l**2 + 2*l**2 + (2*l**2 - l**2 + l**2)*(3 - 3 + 1) - 74*l**2 - 477*l**2 + 1049*l**2 + 770*l**2 to c + g*l**2 + w*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4562 + 4561. Sort 2, y, 3, 5, -9 in increasing order.\nAnswer: -9, y, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197337914 to the power of 1\/2, to the nearest integer?\nAnswer: 14048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 987357757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 119*y**2 + 10*y - 5. Let t(r) = 22*r**2 - 3*r + 4. Let b be t(2). Let f = 90 - b. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 5 + 17*a**2 + 5 - 6.\nAnswer: 17*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91, -502, -1643, -3886, -7603, -13166, -20947, -31318?\n\"Answer: -62*i**3 + 7*i**2 + 2*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -13) + 0 - (-3 + 1)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 5. Let k be c(4). Let g = 31 - k. Factor -30*w**5 - 4*w**g - 33*w**5 + 59*w**5.\nAnswer: -4*w**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 - 6317.815.\nAnswer: -6319.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 826317519 to the power of 1\/2, to the nearest integer?\nAnswer: 28746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034146059 to 4 dps.\nAnswer: 0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455798*-0.4.\nAnswer: 182319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11*s**(-23)*s*s**(1\/4)\/s**(3\/14) assuming s is positive.\nAnswer: s**(-307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6965 is divided by 2676?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 0*p - 7*p + 9 + 17. Let i be d(15). Let a = 0 - -1. Solve -t - 14 = -3*j, 5*t - i + a = -5*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2132*z**2 + 3*z. Let k(l) = -7*l**2 + l. Calculate -d(t) + 3*k(t).\nAnswer: 2111*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:27 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69.11078 and -0.002.\nAnswer: 69.10878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) - (-20)\/6. Suppose -4*q + 8 = -p*r, 2*q - 4*q + 3*r = -2. Suppose 0 = -q*x + 26 - 10. Calculate the highest common factor of 6 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/20 + y**4\/12 - 2*y. Let r be t(1). Suppose -2*w + 3*w - 79 = r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -108, -156, -232, -342, -492, -688, -936?\n\"Answer: -t**3 - 5*t**2 - 4*t - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a factor of 4177557230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -16*y + 36. Suppose -14 = -y*u + 28. Solve -5*j = -3 - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 7. Suppose -m*z = -5*z - 4. Solve 0 = 2*b + z, -2*o - 2*b - 4 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26170, -52395, -78626, -104863, -131106, -157355?\n\"Answer: -3*q**2 - 26216*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -da4 (base 16) in base 5?\nAnswer: -102432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65092+-3478470.1\nAnswer: -3413378.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -9889, -0.0446, 14.\nAnswer: -9889, -2\/11, -0.0446, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -167984, -26, -106 in descending order.\nAnswer: -26, -106, -167984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -38*h - 22. Is 20 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) -0.4 (c) -4471 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 12 - 0. Solve k*q + 3*o = 4, q - 5*o - 10 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1662 and 26812492?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 12 = 0. Let o(x) = 3*x - 2. Let m be o(f). Suppose 0 = v - m - 10. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/14 + 1 - (-238)\/1666. Sort 5, n, 0, 9 in descending order.\nAnswer: 9, 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}