diff --git "a/data/dm_maths/full_data/1978_11255.jsonl" "b/data/dm_maths/full_data/1978_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1978_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -5349*k**2 - 44 + 15 + 19 + 10.\nAnswer: -5349*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y**3 - 58*y + 33*y**2 + 75 - 3*y**3. List the prime factors of d(31).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 + 3*m**3 - 3*m**2 - 27*m = 0.\nAnswer: -9, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*i = 289*i + 257*i + 58*i + 7191 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219249.\nAnswer: 3, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2328965592*k + 8 - 2328965611*k.\nAnswer: -19*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 421 = 3*x. Suppose -x + 259 = 10*g. Solve -g*i = -2*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307 + 312. Let v = -397\/220 + 3\/55. What is the closest to -1\/6 in 1, 3, v, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1621220, -1621221, -1621226, -1621235, -1621248?\nAnswer: -1621265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2634 - 2631. Let k(v) = -v**3 - 2*v**2 + v - 3. Let i(t) = 3*t**3 + 3*t**2 - t + 5. Give l*i(p) + 5*k(p).\nAnswer: 4*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -170\/3, -1\/4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995 - 995 - 12*p**2 + 3*p.\nAnswer: -12*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13245.21 litres?\nAnswer: 13245210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -625 - -632. Let j(g) = -g**2 + 20*g - 87. What is the smallest common multiple of 66 and j(k)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -4 - (-6)\/(-18)*-3606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-293 + -1)\/(2\/(-12)*-4). Is v != -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20280 rounded to the nearest 100?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35420 from -153365.\nAnswer: -117945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 6*v + 15 = -5*o, -3*o + 4*v = 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77539\/(-66))\/53 + 30\/(-36)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -290*a - 445. What is the lowest common multiple of 10 and z(-2)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2 (c) 0.4 (d) 33 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257682805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 384*t - 122097. What is s(321)?\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -5804.\nAnswer: 17412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:00 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5347.\nAnswer: 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 20*h**4 + 5*h + 21*h**4 + (0*h**3 + h**3 + 0*h**3)*(h + 2*h - h) - 2*h**4 + 6*h**4 + 3*h**4.\nAnswer: 10*h**4 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {f: 1, n: 5, d: 2, l: 2, e: 2, c: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 12*c + 3*c**2)*(-2 - 1 - c + 2).\nAnswer: -3*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64094 and 20194?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/(u**(-1)*u*u))\/u)**(-2))**7 assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 3. Suppose -3*i - t + 11 - 1 = 0, -3*i - 3*t = -6. Let m be ((-14)\/35)\/(i\/80). Determine v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, m: 1, g: 5, t: 2, n: 2, u: 1}. Give prob of picking 1 m and 2 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/9 + 448*o**3\/9 + 2962*o**2\/3 - 448*o\/9 - 8888\/9 = 0. What is o?\nAnswer: -202, -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*m - 18, 0 = u - 2*m - 3*m - 9. Let u*c + 0 + c + 6 - 3*c**2 - 3*c**4 + 4*c - 9*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, h: 2, m: 3, b: 2}. What is prob of sequence hh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/6*(-2)\/(-16). Let x be (-37 + 9)*(-2)\/(-12) + 5. Factor x - 11\/6*g - b*g**3 + 8\/3*g**2.\nAnswer: -(g - 1)**2*(7*g - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/1073 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 431691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 4*m**2 + m**2)*(-93*m + 93*m + 119*m**2)*(-m + 4*m - m).\nAnswer: -1666*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = v - 134, v - 78 = 4*n + 31. What is the remainder when 167 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 378 = w, -3*b - 5*w - 378 = -b. Let c = b - -949\/5. Let l = -160 + 1442\/9. What is the smallest value in -2, c, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 45*m + 1. Determine s(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/105 - 37*u**4\/6 - 1028*u**3\/21 - 11785*u**2. Factor j(k).\nAnswer: -4*(k + 2)*(k + 257)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9980 and 7485?\nAnswer: 29940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35800 is divided by 762?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102785*a**4 + 428*a**3 + a**2 - 120842090*a wrt a.\nAnswer: -2466840*a + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009244 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20733*b*m**3*n + 3*b*m**3 - 12*b*m**2*n - 2*b - 3*m**4*n - 2845*m**2 wrt m.\nAnswer: 124398*b*n + 18*b - 72*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -200, -8, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s + 2. Let q be j(-2). Let o(p) = 13 + 9 + 13 + 7 + 20*p - 36. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4263242239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7316, -6478, -5640, -4802?\n\"Answer: 838*h - 8154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20120 is divided by 9857?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/8 - 399*l**2\/8 + 8853*l\/8 - 54249\/8 = 0?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2343*x + 2325*x - 270 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3436\/435 - 144\/29. Calculate the common denominator of q and (210\/1225)\/(7\/(1715\/10)*-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 31021573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99374.7 millennia to years.\nAnswer: 99374700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*l**3 + 185 wrt l.\nAnswer: 462*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(56) - (-2*sqrt(224) - sqrt(224)))\/sqrt(8) - (sqrt(77)\/sqrt(176) - (sqrt(343) - -1*sqrt(343) - sqrt(343))**2)).\nAnswer: 27*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + b)*(3 - 3 - 2*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 24, -2, -15150 in descending order.\nAnswer: 24, -2, -85, -15150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 2. Suppose 0 = -8*p + 3*p - 5. Let m be f(p). Let h be 1\/((12\/(-16))\/m). Sort -5, h, 5 in ascending order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {x: 7, a: 1, l: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 944.\nAnswer: 943.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.96*2.\nAnswer: -63.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1977*t + 2*t**2 - 3*t**2 + 1964*t.\nAnswer: -t**2 - 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4\/5*p**2 + 8\/5 - 12\/5*p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 659\/9 in ascending order.\nAnswer: -4, 5, 659\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 = -2527*x + 2531*x, -16 = z - 4*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = 3. Let n be 3 + -2 - (-4 + d). Let y = 6 + n. What is the smallest common multiple of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12099 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -96*q**3 - 2*q - 12. Let b(i) = 39*i**3 + i + 5. Determine -12*b(h) - 5*g(h).\nAnswer: 12*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u + 4. Let z be k(3). Suppose -j = -z*j. Let m(g) = -g**3 + 9*g**2 + 3. Let i be m(9). Which is the closest to j? (a) -4 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)*z*(z\/z**(1\/13))\/z*(z\/(z\/z**(1\/2)))**7 assuming z is positive.\nAnswer: z**(243\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5780 - 5780 + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)*(-1 - 4\/(-6))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1514 - -3133. What is the third smallest value in t, -3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -1\/6 (b) -2.2 (c) -2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z - 19. Let s(a) = -a. Let k(n) = -5*s(n) + y(n). Let o be k(-8). Let u be 4\/((-88)\/(-70)) + o\/1. Put -3, u, 5 in increasing order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -319277 (base 10) in base 11?\nAnswer: -1a8972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2036 by 4.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:37 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n - 1804798504 = 61*n. Let g = n + -140999813. Round g to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-3) + 1 - -1. Let o be ((-5)\/(-2))\/((-1)\/(-4)). Let i be o\/(-20)*2*2. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1210, 1221, 1232?\n\"Answer: 11*n + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.5, -186?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 - 2*l + 6. Let v be o(-6). Suppose 4*z + 110 = -i, z + 5*i = -0*z - v. Let u = -18 - z. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 14*b + 9. Does 12 divide d(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 175, 388, 675, 1030, 1447, 1920, 2443?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1794339, -7177374, -16149087, -28709472, -44858523?\nAnswer: -64596234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 16*k + 4. What is i(-14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssps when four letters picked without replacement from {p: 8, z: 2, s: 3, u: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1723052, -2 in descending order.\nAnswer: 5, 1, -2, -1723052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {k: 1, i: 2, z: 4, c: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2 + ((-59724)\/(-24))\/(-7). Which is greater: -354 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*n**2 - 25 + 439*n**2 - 218*n**2 - 207 in the form y*n + i*n**2 + p and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + 6*i**2 - 3*i. Let k be s(-9). Let o = 7 - k. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4175000 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**9\/30240 + d**8\/13440 - d**7\/5040 - d**6\/1440 + d**4\/4 + 3*d. Let n(r) be the third derivative of w(r). Factor n(y).\nAnswer: y*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 24*z**3 + 22*z**3 - 16)*(1 - 2*z - 1).\nAnswer: 4*z**4 + 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*-1)\/((-18)\/(-60)). Let r be (-4)\/n - (-178)\/5. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 9 = 0. Let h(d) = -4*d**2 + 16*d - 13. Let s(z) = -z**2 + 2*z - 1. Let o(q) = h(q) - 5*s(q). What are the prime factors of o(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -1\/4*t**4 + 5\/3*t**3 + 0*t - 3\/2*t**2 + 2. Let j(k) = 5*k**2 - 1. Let s be j(-1). Determine n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 2*u**2 - 2*u - 46. Calculate q(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.7 and -37?\nAnswer: -321.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26599532 divided by -3\nAnswer: 26599532\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 185, 659, 1573, 3071, 5297, 8395, 12509?\nAnswer: 17783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -309*g**2 - 1679*g - 55880?\nAnswer: -618*g - 1679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76299 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihh. Give prob of sequence ih.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1066\/7 + 152. Let k = 4.36 + -3.05. Let g = 1.01 - k. Sort -1\/2, -1\/3, y, g.\nAnswer: -1\/2, -1\/3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46508319 and 2574?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010110100110 (base 2) to base 7.\nAnswer: -300342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217.7 - -218. Sort 4, 87, 1\/2, d, 2\/7.\nAnswer: 2\/7, d, 1\/2, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + j**2 + 4*j - 2. Let c(i) = 4*i**3 + 2*i**2 + 4*i - 2. Let t(f) = -4*c(f) + 5*s(f). Let r be 3471\/(-801) - 1\/(-3). Give t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-3)\/48*-20)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l + 3. Suppose 5*d - 96 = -26. What is the remainder when b(4) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 16 = -2*s - 4*z, 3*s - 5*z - 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(75) + 3)**2*2 + sqrt(147)*4 + sqrt(3)*4 + -5.\nAnswer: 92*sqrt(3) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4, -2, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - k + 3 - 2*k - k. Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3 (c) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2632278 or 2.63?\nAnswer: 2632278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfh when three letters picked without replacement from pefffhhfyfyffhpheyf?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243837\/(-1642)*8\/44?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 3, 5, -11, -9 in decreasing order.\nAnswer: 8, 5, 3, 1, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 460 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 78*j**2 - 3572*j + 12478. Give i(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1617*q**2 - 99. Let c(b) = 33*b**2 - 2. Let o(j) = -99*c(j) + 2*f(j). Let a(r) = -5*r**2. Give o(a(v)).\nAnswer: -825*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - 1) + -8)*7\/(-28)*4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 68*h**5 - 5*h**5 + (-3*h**3 + h - h)*(-h**2 + 2*h**2 + h**2).\nAnswer: -79*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365 - -365.5. Which is the biggest value? (a) 31 (b) x (c) 1\/4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 122054, -5\/3, -5.\nAnswer: -5, -2, -5\/3, 122054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 8*n - 30 = 0. Solve -5*i - 3*y = -n, i = 5*y - 4 - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 - 8025*j**2 + 7979*j**2 as v*j + r + a*j**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2. Let n = -270 + 297. Let c(w) = -n*w - 22*w - 25*w + 93*w - 22*w. Determine x(c(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 466009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -61*x - 1. Is 15 a factor of u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1385, 7, 1 in decreasing order.\nAnswer: 1385, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24130 is divided by 11892.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, 18, 63, -1, 1.\nAnswer: -4, -2, -1, 1, 7, 18, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -281*p**3 - 17*p**2 - 10*p - 1. Let m be d(-8). Let u be 0\/4 - 2\/((-90)\/m). Let r = u - 3176. What is the common denominator of -22\/3 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 2\/(-6)*-3*1. Suppose 0 = 6*o - 3*o + 27. Let p be 2\/6 + z\/o. Does 3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:01 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 6*x - 10. Let z(b) be the first derivative of b**3\/3 - b**2\/2 - b + 4. Let i(u) = -r(u) + 6*z(u). Find the first derivative of i(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*p + 48 = 0, -6*h + 5*p = -1804492 + 1804555 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 + 0*b**2)*(0*b**2 + 0*b**2 + b**3) - 367*b**5 - 417*b**5 - 273*b**5 - 3*b**5 + b**5 + b**5.\nAnswer: -1059*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 4\/5 (c) 0.11 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -7*t**3\/6 - t**2 - 2*t + 40. Let g(y) = -7*y - 2. Determine -4*c(n) + 3*g(n).\nAnswer: 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 226. Let l be 1\/2*(-1 + 1). Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2067476339 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 17*o**2 - 17*o + 45. Give q(18).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:21 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 263195 or 263187?\nAnswer: 263195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -269154 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -17, -20, -11, 16, 67?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9869 is divided by 649.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1028185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4102*o**3 + 687*o + 1?\nAnswer: -24612*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 11.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 37\/1 - (6 + -9). Let p = f - 9. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1203290136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.8 + -21. Let k = 1.2 - v. Let g = k - 4.4. Is g >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.1 - 0.1. Let c = -79 + 79. What is the smallest value in -3, c, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2622\/7 - -374. Which is bigger: x or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1 + -21)*-2. What is the highest common divisor of m and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6685266*p**4 + 4932213*p**2?\nAnswer: -160446384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/63 + -8\/7. Let t = -8437\/15 - -1163\/3. Let x = 166 + t. Find the common denominator of c and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a**2 + 17*a**2 + 26*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 63. Let s = -62568 - -62568.5. What is the closest to -0.1 in s, m, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jts when three letters picked without replacement from {t: 1, z: 1, s: 2, d: 1, j: 2, l: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 285803790 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 7*t - 3. Determine m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191364817.\nAnswer: 7, 1013, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1420539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 1, z: 3}. Give prob of sequence zyzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = 14*l + 14246. Let a = 427 + l. Solve a*x - 5*x = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0849409 * -1.6.\nAnswer: -0.13590544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 7*z**2 + 4. Suppose 0 = 3*f + 7 - 10. Let x be -5 - (f + -1 - 0). What is the units digit of p(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73205227 by 107.\nAnswer: -684161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/30 - 19*k**4\/18 - 83*k**3\/9 - 65*k**2\/3 + 523*k. Find w, given that a(w) = 0.\nAnswer: -13, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257902 divided by -979\nAnswer: -257902\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -175604 divided by -4\nAnswer: 43901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 2 + 8 - 4 + 4. Let u be n(3). Let q = 45 + u. Calculate the remainder when q is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(3\/7)\/k))**(-35)*(k**17*k*k)\/((k**12*k)\/k))**(-4\/25) assuming k is positive.\nAnswer: k**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = 3*f, f - 2*j - 2*j + 28 = 0. Calculate the common denominator of -23\/76 and (10\/f)\/((-24)\/(-156)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - q + 2*q)*(1055 + 3*q**4 + 1037 - 2069).\nAnswer: -6*q**5 - 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*u = 0, 511*g - 510*g + 2 = -u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/11 in -5, -0.5, -3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16107089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 324042580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 2*v + 2*v, -3*q = -2*v - 3. Solve 5*y - 3*y = v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2231423112 (base 5) to base 3\nAnswer: 100022120101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 490, -4, 1\/5, -3 in ascending order.\nAnswer: -4, -3, 1\/5, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 46766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 at least as big as 427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2\/3)\/b)\/b)\/b*b)\/b*b)**33*(b*b**(-1))**(-23) assuming b is positive.\nAnswer: b**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293145*s**6 - 3*s**3 - 39087*s**2 + 11*s.\nAnswer: 35177400*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212132 + 3110?\nAnswer: 2221302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14753917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (-42)\/805*-155. Put -7\/8, 3, i, 4, -4 in ascending order.\nAnswer: -4, -7\/8, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a2701 (base 11) to base 5.\nAnswer: -402140004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 4, -5, 616, -4, 626 in descending order.\nAnswer: 626, 616, 4, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t + 16. Let z = 123 + t. Suppose -98 - 74 = -4*c + 4*v, z = 3*c - v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**3 - k**2 - k - 1. Let t be h(-1). Suppose t*p - 4*p = 63. Suppose -2*j + 9 = -p. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, 1 y, and 1 h when four letters picked without replacement from {z: 3, y: 2, d: 1, h: 9, b: 1, n: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 50. Let u = k + 40. Suppose 2*w + 102 = -2*v, w = -5*v - 5 - 230. Is v at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:22 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.56754l in millilitres?\nAnswer: 43567.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229695 + 229731. Suppose 3*z - 2 = 5*z. What is the least common multiple of 2*z*(-21 + -1) and b?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-38) + 12183\/(-20615). Let h = -223\/315 - g. Sort h, 1\/6, -1.2.\nAnswer: -1.2, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7 + 1?\nAnswer: e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -0.799. Let j = t - 0.399. Let n = 3 + -2. Which is the nearest to j? (a) n (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10761*-0.1\nAnswer: 1076.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from wvvpppwppnpttavpw?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5247, -4935, -4109, -2517, 93, 3973?\n\"Answer: 42*j**3 + 5*j**2 + 3*j - 5297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8597222ml to litres.\nAnswer: 0.0008597222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1427*l**3*s**4 + 18500*l**3*s**2 + l**2 - 51*l*s**4 - 2*l*s**2 - 2*l*s + 1 wrt s.\nAnswer: -34248*l**3*s - 1224*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926.92279 rounded to zero dps?\nAnswer: -1927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861 + c - 1861.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 0 + -2 + 5.\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f, -2*r + 5*f = -0*r - 5. Let n = r + 9. Let j(u) = u + 23. Let o be j(22). What is the highest common factor of o and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 2432943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 341*m - 24095. Determine n(-241).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (-68)\/(-10))\/((-136)\/40). Determine n, given that -4\/17*n**2 + h*n**5 - 14\/17*n**3 + 0*n + 0 + 4\/17*n**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239433037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 96870*u - 2517265. What is p(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:37 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m + m + 10*m - m**2. Let s(k) = -16*k. Calculate v(s(t)).\nAnswer: -256*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323048970.\nAnswer: 2, 3, 5, 743, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3 and -65\/344.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 40 - 27 = 3*h, 9 = -h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*16\/((-7200)\/(-63)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55*-76\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(0 + 0 + d)*(-36 + 81 - 26).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4998 is divided by 2469?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 7*n = 182 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/315*15)\/((28\/21)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162344279 to the power of 1\/2, to the nearest integer?\nAnswer: 12741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -89*a + 103*a. Let r(k) = k**3 - 2*k**2 + k + 1. Let p be r(2). Let n be (2\/4)\/((-2)\/4). Put n, p, a in decreasing order.\nAnswer: p, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1468549550 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(2)*-2) + (sqrt(36)*3)\/sqrt(2))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 125*y**2 + 1174*y + 28. Determine o(51).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p - 5 + 5*p + 8*p - 8. Let b be y(-3). Solve -b*j + 0*h = -3*h + 11, 8 = -5*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 5*u + 4. List the prime factors of p(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36167, 71455, 106745, 142037, 177331?\n\"Answer: w**2 + 35285*w + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.2973 decades to millennia.\nAnswer: 0.382973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011001011010111 (base 2) to base 6.\nAnswer: -3442435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03463 at most 31\/408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 455 or 4082\/9?\nAnswer: 4082\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93979 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54407319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 53 = -5*p + 4, -2*p = 4. Let s = -9 + u. Solve -s*l - 3*b = 18, 4*l - 3*b + 2*b = -10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-2)*-84*(-118)\/7434*3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o)**(5\/3) assuming o is positive.\nAnswer: o**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**6\/r))\/r**(-2))**(-21) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828020867.\nAnswer: 3, 47, 12964687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 6*z + 6*z)*(3*z**3 - z**3 + 6*z**3).\nAnswer: 56*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-21))\/(-6))\/((-3)\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 4785 = -7*o. Suppose -4*a - 345 = -o. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 96. Let u be f(0). Let b(l) = -l**2 + 2*l - 2. Let w be b(2). Let g be 4\/w + u\/44. Put 4\/5, g, 0 in increasing order.\nAnswer: 0, g, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (110 - 129).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 1419687*m**3 + 5*m + 2*m**4 - 2*m - 6 + 1419685*m**3 in the form z*m**2 + w*m**4 + i*m**3 + h*m + f and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 143, 2, 11778?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*p + 550. Let s = -68 - p. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56095.69 grams to milligrams.\nAnswer: 56095690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3 and ((-2)\/5)\/((-7791)\/(-1060)).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-11)\/(-33))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2371940 and 15?\nAnswer: 7115820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 6*b**2 - 7*b + 6. Let i be c(4). Let w = -2039 - -2047. What are the prime factors of (226\/w)\/(i\/40)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 146 (c) -404 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 34. Let z be q(-8). Suppose 7*s = z*s + 5. Differentiate -s + 6*y**3 - 8 + 13 with respect to y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*x**6 - 24*x**3 + 1159*x**2?\nAnswer: 1680*x**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)*2\/(-4). Suppose c = -4*i + 5*h + 3460, -3*i - 2*h = -3*h - 2606. Find the common denominator of 2\/18*i\/8 and 77\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 163 = 5*t, -13 = 5*v - 3. What is the remainder when t is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0103 - 0.0351. Let v = s - -0.0484. What is v rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/1080 - k**5\/360 + 5*k**3\/6 - k**2. Let o(b) be the first derivative of d(b). Factor o(v).\nAnswer: -v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1199\nAnswer: -4\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u**2 - 15. Suppose 2*d - 5 = -1. Suppose 2*j = -d*j + 24. Let h(v) = 7*v**2 + 7. Give j*f(k) + 13*h(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -47\/2*o**2 + 14 - 17\/6*o**6 + 0*o**3 + 0*o**5 + 2*o + 0*o**4. Find the second derivative of i(u) wrt u.\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 10 - 10)*(-l + l - l**3).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -16\/13*i**2 + 4\/13*i**3 - 18\/13 + 2\/13*i**4 - 36\/13*i = 0?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, 6, -2, 13\/7, -26.\nAnswer: -26, -17, -5, -2, 13\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 44 + 82. What is the common denominator of (-70)\/(-6) - (-4 - -5) and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181.8 * 0.3.\nAnswer: 54.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3442 or -3436?\nAnswer: -3436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1561, -4, 5, 564, -5, 0 in increasing order.\nAnswer: -1561, -5, -4, 0, 3, 5, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*f - f + 70 = 0, -3*j = -4*f - 68. Suppose j*z - 21*z - 23 = 0. Let c = -18 - z. Calculate the greatest common factor of 40 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11480023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56265769 is divided by 919?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5489 and 580337.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19268563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/50 and -57\/17270.\nAnswer: 86350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:40 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/26158 and 95\/1914.\nAnswer: 78474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -14 + 24. Suppose 3*a - 13 = w. Solve 3*q + 3 - 8 = a*k, 0 = 3*q - 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.07.\nAnswer: 1.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (34\/4 - 6) + 0\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 389*m + 30693 + 18710 for m.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306162 and 2342862.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/90)\/((-4)\/(-40)). Sort -3, 3\/29, s, 0.4 in increasing order.\nAnswer: -3, 3\/29, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 3. Let j(m) = -6*m + 8. Calculate 2*j(a) - 7*v(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*l, 7*l - 5*c = 4*l - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -27. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 0.6. Let d(w) = w**2 + 7*w + 7. Let g be d(-6). Which is the closest to -2? (a) -1\/3 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -23.3.\nAnswer: 256.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 3, z: 1, a: 4}. What is prob of picking 1 f and 1 z?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 - k + 2. Is n(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12886, 25659, 38342, 50935?\nAnswer: 63438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/20 - m**4\/6 - 2*m**3\/3 + 5*m**2. Let t(q) = 1 - q**2 + q - 4*q**2 + 6*q**2. Give -4*t(d) - v(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 + 7*w. Let n be z(5). Solve 3*o - y = -n, o - 3*y = -0*y - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 13*i**2 - i - 3. Let o = -26 - -63. Calculate the remainder when o is divided by u(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-53 - (-91 - -53)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*l - 12 + 38, -22*l + 17*l = -125*n + 1145 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753726 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 7) to base 15.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435791356 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + v**2 - v. Let t be c(1). Suppose 2 = s + t. Let z be s + (-1)\/(1 - 2). Is z smaller than -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 42\/98 + (-50)\/(-14). What is the nearest to 40 in s, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 1. Let r(d) = -2 - 9*d + 0*d + 0*d. Let t be (3 - 4)\/(2\/(-1 - -7)) - 13647\/(-13647). Determine t*r(y) + 5*v(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 33. Let l be 0\/(1 + j\/(-2)). Suppose 3*a - 90 = -l*a. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 22103?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*d - 48, 0*f + d + 60 = -5*f. Let y(s) be the third derivative of 0 - 1\/6*s**3 + 0*s + 34*s**2. Let a(q) = q**2 - 4. Determine f*y(h) + 3*a(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.7172 rounded to 1 dp?\nAnswer: 33.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, 150, 2\/13, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 26 = -661. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12610 is divided by 2096.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f51 - 1?\nAnswer: -1f52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.165 + -83.165. Let q = l - -83.3. Which is the fourth smallest value? (a) q (b) -1\/3 (c) 1\/6 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 556 + (-1)\/((-7)\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((52\/455)\/(-2))\/(6\/(-10)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14. Suppose -4*j = j - 3*y - 16, -5*j + 5*y + 20 = k. Solve j*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s**2 + 17*s**3 - s - s**2 + 0*s**2. Let m be 11\/231*3*7\/1. Let w be i(m). Solve 0 = 5*h + g + w, 2*g - 36 = 4*h - 2*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 638 - 295. Let n be (594\/(-110))\/(6\/(-40)). Let v = o - n. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3272875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2 + 2)*(0 + 0 + u**2)*(2 + 1 - 5).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002338812648 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 32 = 2*i, 6 + 3 = 3*i. Put -2, 3, h in ascending order.\nAnswer: h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. What are the prime factors of 2 - -14*b\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782*s - 4325*s - 4 = 3577*s - 4. Factor 2*t**2 + s*t - 1\/2*t**4 + 1\/2*t**5 + 0 - 2*t**3.\nAnswer: t**2*(t - 2)*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35503, -71837, -108173, -144511, -180851, -217193, -253537?\nAnswer: -289883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/55958 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2. Let n(f) be the first derivative of -3\/2*f**2 + 0*f - 24. What is c(n(m))?\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693763210 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -105) + 3 - (-36 - (-18 - 5)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - 0)*(-27)\/(7 + -10). Calculate the common denominator of 79\/12 and ((-27)\/(-12))\/((-16)\/q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 + 188 = 5*a, 5*z + 297 = -a. Let r = -46 - z. Let f be 3*15\/18*r. Solve -2*b = -7*b + 5*v - f, 2*b - 4*v = -24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-12)*(-442554)\/(-15) - (-95)\/57 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -129*v + 30. Let p be i(-1). Let d = p - 152. Solve -2*o + d*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/2 - 3416*o**4 - 130173*o**3\/2 + 13664*o**2 + 260338*o = 0.\nAnswer: -19, -2, 0, 2, 6851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(49) + sqrt(1225))*2 - -2*sqrt(245)\/sqrt(5))\/(4*(sqrt(7) + sqrt(112)*-1)*4)*4.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 77. Let i = -34.4 + a. Let k = 2.6000015 - i. Round k to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170.97 - 4.03. Let j = -447 - r. Let d = -271.99821 - j. What is d rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 24*y + 164. Give z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.23 and 0.57.\nAnswer: -13.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0*b + b - 7)*(2*b - 17*b - 7*b + (-1 - 3 + 6)*(-2*b - 2*b + 2*b) - b - 2 + 2) + (0 - 1 + 0)*(-b**2 + 3 - 3).\nAnswer: -26*b**2 + 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -326518942, -326518941, -326518940, -326518939, -326518938, -326518937?\n\"Answer: p - 326518943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*w + 3*u, u = -162*w + 157*w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 12 + 0 = 3*a, 0 = -2*a + 4*f - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 90*x + 32 + 40 - 70.\nAnswer: -78*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -263, 4, 1\/6 in descending order.\nAnswer: 4, 1\/6, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17652 and 60?\nAnswer: 88260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 13. Let c be v(-9). Suppose -4*q + q + w + 317 = 0, c*w = -3*q + 292. Let k = 23 - 10. What is the greatest common factor of k and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/2 + 273387*w**3\/2 + 136617*w**2 - 6834528*w + 6561216 = 0.\nAnswer: -91128, -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61d474 (base 14) in base 2?\nAnswer: -1100100110001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 + 602 = -4*r. Let i = r - -432. What is the greatest common divisor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5056\/144 - 2\/18 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20792638?\nAnswer: 2, 10396319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*m + 7*m + 37, 0 = -5*z - 5*m + 85. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23.5. Which is the closest to -2\/9? (a) -2\/3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*r + 1880, 4*x - 2284 = -r - 786. Suppose 5*g - x + 4 = 0. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*y**3 + 67*y + 3.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*n - 2 - 34*n + 0.\nAnswer: -36*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 471*p**2 - 6045*p + 5577.\nAnswer: -3*(p - 143)*(p - 13)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 8*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m + f + 83, -2*f + 26 - 109 = 3*m + 34 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5490*0.6\nAnswer: -3294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.840915ml in litres?\nAnswer: 0.007840915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 24356757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = -4*o, -4*t + 4*o + 20 = o. Let j = 8086 + -8081. What is the second smallest value in -4, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.5. Let s be (-6 - (-184)\/30)*-1. Let v = 3.4 + 0.6. Which is the second biggest value? (a) i (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/7 + 5374*h\/7 = 0. Calculate h.\nAnswer: 0, 2687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*m - 2 = 0, 4*m + 36 = 4*f - 0*f. Let g(k) be the second derivative of 1\/20*k**5 + 0*k**2 + 12*k + 0 + 1\/3*k**3 - 5\/12*k**4. Determine g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, g: 1, r: 1, o: 1, v: 3}. Give prob of sequence jvvj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -p + m, 2*p + 3*m = -4. Suppose 3*b = 4*a - 404, 0*a - p*b = 5*a - 474. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.0213 + -0.0213. Let n be 1\/(-2) - (-1)\/3. Which is the second biggest value? (a) -0.3 (b) n (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 1\/27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 6. Solve 5*n = c - 21, -2*c + 8*n + 22 = j*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**4*h**3 - 3*d**4*h - 4836*d**4 - 3*d**2*h**3 - 123624*d*h**3 wrt d.\nAnswer: 144*d*h**3 - 72*d*h - 116064*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (486\/135)\/(-9)*(-36)\/(-168)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 + 50*b - 116. Calculate n(-13).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 6, y: 6}. Give prob of sequence yy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - v**3 - 4 - 878*v - v**2 + 1 + 888*v + 18. What is m(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5815251)\/1449 - 4\/(-14). Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1100 = 67603*y - 67493*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 13) in base 9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2\/2 - s + 629. Let a(v) = -v**2 + 7*v + 7. Give 5*a(t) + 35*c(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -2) + (-4)\/(-2). Suppose -3*r - 4*l + 435 = 0, -2*r + 5*l + 345 = 55. Suppose -11*f - r = -167. Calculate the greatest common divisor of f and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 2. Let u = 4.108 - 0.108. Suppose -4*w = 5*g - 1, w - g + 0 = -2. Which is the nearest to w? (a) u (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*r + 68706, -212*d + 85872 = -207*d + 2*r. What are the prime factors of d?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 823350 and 960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i - 6. Let c be l(4). Solve -9 + 1 = c*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -47. Let v be ((-288)\/112)\/((-2)\/b). Let t = v + 66. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17812008 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48720, 48719, 48718, 48717?\n\"Answer: -s + 48721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 234. Is (1*(-1)\/2)\/(b\/1384) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -2.\nAnswer: -13, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.4 - 12.41. Let l = f + 7.21. Let b = 8.281 - l. What is b rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*c, 0 = -0*i + 3*i - c + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3) + -1 - (1850\/222 + -76)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -319 and -1.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -4*g + 5 = -s. Suppose -g*m - 3*h + 110 = -0*m, -2*m = 2*h - 110. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 7585 + 9*56\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*m + 13, -w = 3*w + 3*m - 23. Suppose -15 = w*q - 3*d, 2*d - 2 - 8 = 0. Solve -3 = 3*c - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4.1258268 nanoseconds in days?\nAnswer: 0.000000000000047752625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0 + 1 - 8)*(251 - 19 + 127) to v*f + x and give x.\nAnswer: -2513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2*sqrt(72)*-3 + sqrt(72) - (1 + (sqrt(72) + -1 + sqrt(72) - sqrt(72))))*-3)**2.\nAnswer: 31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*x = -4, 29*a - 28*a + 23 = 4*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 45. Let t = k + 19. Find the first derivative of 2 + t*h + 0*h - 5*h**2 + 1 wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -r + 4*i, -2*r = 3*r - 3*i - 97. Let o be 2\/(5\/r*1). Solve o*p = 4*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 923 = 37. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a factor of 359906271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -33. Suppose -23 = -3*h + 2*q + 117, 3*q + 187 = g*h. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 445 and 869797.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*x + 160*x + 54 = 0. What is the lowest common multiple of 948 and x?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 + -3?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbbbbbbbffff. Give prob of picking 2 b.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -12 + (4768\/(-416) - -25)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**8\/168 + 2*d**7\/35 - 2*d**6\/15 - d**5\/15 + 3*d**4\/4 - 4*d**3\/3 - 10*d**2 + 12*d. Factor p(i).\nAnswer: -2*(i - 4)*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 3, -p = -3*q + 299. Suppose -7*z = -10*z - q. Let m = z - -42. What is the smallest common multiple of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 218 - 19*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -2. Let z = 166 + -171. What is the second smallest value in z, -0.4, o, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:29 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.74 take away 4.464?\nAnswer: 1.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let c(j) = -j**2 - 2*j. Let g(p) = -p**2 - p. Let f(h) = -c(h) + 2*g(h). What is f(n(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*l - 88. Let u = l + 24. Suppose -u = -k - 3*k. Solve j - k = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556364136 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2*n + 3067200. Let c(s) = s. Calculate c(x(z)).\nAnswer: -z**2 + 2*z + 3067200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1948\/(-22) - 810\/(-1782)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 11*b = 15. Suppose 0 = -d - 3*n - 3, -2*n - 37 = -d + b*n. Calculate the smallest common multiple of d and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 891421046 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 5. Calculate a(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 22. Let z(a) = 2*a + 16375*a**3 - 10 + a**2 + 10. Let w be z(t). Round w to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*x + 364. Find the common denominator of x*(-3 - 0 - 34\/(-11)) and 133\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 74*b**2 + 1132*b + 33. Let p(a) = 40*a**2 + 566*a + 18. What is -6*h(u) + 11*p(u)?\nAnswer: -4*u**2 - 566*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 0 + -1 - (-20136 - -20142)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 7629652 divided by 2?\nAnswer: 3814826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -33 - (-26 - -21) - (-6 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d*d**(-1\/4)*d)\/(d**(-2))**(-31))\/(((d\/((d\/(d*d**(-5)*d))\/d))\/d*d)\/d**(-9)*((d\/(d\/(d*d**(1\/2)*d)))\/d)**(-4\/3)) assuming d is positive.\nAnswer: d**(-1819\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3135\/114)\/(-55)*(2 - 4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w + 8. Suppose -7*i - 88 = -39. What are the prime factors of t(i)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l + 40*l**2 + 4 - 2 - 39*l**2. Let q be k(-16). Solve 0 = q*h + 8, 28 - 11 = j - 5*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((111\/(-555))\/(2\/(-5)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than -5132\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -26\/9*v**2 + 2\/9*v**3 - 50\/3 + 110\/9*v = 0. What is v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z - 8*z + 2*z)*(-6 - 4 + 5) - z + 0*z + 2*z + (-2*z - z + z)*(1 + 2 - 1) + 0 - z + 0 to n*z + x and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8e6b (base 16) in base 11?\nAnswer: -25435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43056 and 240?\nAnswer: 215280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274, -1435, -1594, -1751, -1906?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173281 + 18110 = -5368*t + 48202 - 39323 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -3*f**5\/5 - f**4\/2 - f**3 + 3*f**2 + 1222*f. Let m(q) = -11*q**3 - 5*q**2 - 5*q + 5. Give -6*m(c) + 5*p(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 + 4 - 4 + w**2 - w**2 - 2*w**2 + (-4 + 4 - 3*w)*(0*w - 13*w - 5*w).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 168946217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3\/9 + 10760*z**2\/3 - 16516424*z + 15864792192 = 0?\nAnswer: 1296, 7422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 - 3*a + 2. Let g = -5 + 14. Suppose -w = 5*r - 4*w + g, 2*w = 4*r + 8. List the prime factors of k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5*i**3\/6 + i. Suppose -2*g + 20 = 5*h + 3*g, 0 = h - 5*g + 8. Let v(f) = h*f - f - f + f**2. Determine v(w(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 2*r - 27 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Sort o, 2, 4.\nAnswer: 2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 2. Suppose 0 = -q*i + 9 + 15. Let c(l) = -6*l. Let t(z) = 17*z. Give i*t(b) + 11*c(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 23*q + 11. Let n be a(23). Solve -7*y + 2*y = 5*d + 35, n = -5*y + 3*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from fffffgfgf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:00 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 567824773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.62 + 2. Let f = 0.08 - u. Let o = 0.5 + -0.4. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 2\/9 (c) -320 (d) -0.2 (e) 4364\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + ((-3*sqrt(180))\/(6*(sqrt(4) - -2*sqrt(4))))**2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2\/3*x**3 - 3*x - 2*x**2 + 128 - 1\/2*x**4. Let k(p) = 2*p**3 + 2*p**2 + 5*p + 3. What is 5*j(t) + 4*k(t)?\nAnswer: -2*t**3 - 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/18 - 2\/(-9). Let o = 3 + i. List the prime factors of (-48)\/(-9)*9\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let j(q) = -5*q**2. Let d(b) = -2*b**2. Let c(a) = -7*d(a) + 3*j(a). Give c(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1631, -3266, -4901, -6536, -8171, -9806?\nAnswer: -11441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/3, -1, 290, 0.03?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5549 + 5542. Sort 586, 0.1, b, -0.1 in decreasing order.\nAnswer: 586, 0.1, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1382*u**3 - 2*u**2 + u. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/247 and 14\/143.\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 1\/105*s**6 + 2 + 1\/42*s**4 + 0*s**2 + 0*s**3 + 1\/35*s**5 + s. Let k(n) be the first derivative of z(n). Factor k(t).\nAnswer: 2*t**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1362959083 and 2056.\nAnswer: 1362961139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 177, -3, -2\/3, -0.2 in ascending order.\nAnswer: -3, -2\/3, -0.2, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 39312?\nAnswer: 196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h + 3 + 14*h**2 - 4 - 13*h**2. Let f(g) = -2*g**2 - 17*g + 1. Let p(z) = 2*f(z) + 5*r(z). What is p(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-229 + 94 - -116)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 19*z**2 + 22*z - 50. Let i be w(20). Let q be (-24)\/56*-7*(-2)\/i. Let l be ((-3)\/(-12))\/(1\/4). Is q bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*t**2*w**3 + t**2*w - 6*t*w**2 - 6676*w**3 - 2*w with respect to t.\nAnswer: -82*t*w**3 + 2*t*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 146*i**2 + 1005*i - 900.\nAnswer: (i + 15)**2*(5*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q + q. Let v(t) = t**2 + 6*t + 4. Let b be v(-6). Suppose -q*s = -b*s + 14. Solve -4*a - 2 = s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66900000 rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 16*q**2 - 16*q - 15. What is the units digit of n(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o - 6. Let f be a(4). Suppose 0 = x + 5, 4*b - 5*x = -b + f. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*x - 4, x + 11 = -3*n - 1. Let m = -184\/285 - 2\/95. Which is the third biggest value? (a) n (b) -1\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1657*v + 41471. Calculate h(-25).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -307, -769, -1341, -1993, -2695, -3417?\nAnswer: -4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -169, -3\/8, -544, 1, -1 in descending order.\nAnswer: 7, 1, -3\/8, -1, -169, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 0, i - 5*i = -2*a - 12. Let j(g) = 4*g - g**2 - 3 - 4*g - g**3 - a*g. Suppose -2*n = -4*y - 16, -n - 6*y + y = 27. Give j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) + 3*6\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-11 - (2 - -11) - (6 - -6))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17366.925 + 17367. What is the fifth biggest value in 0, 4, 1\/7, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j - 71 = 139*j - 16*g, 3*g - 13 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -5949 + 5949. Let b(h) be the third derivative of 0 - 1\/15*h**5 - 1\/3*h**4 - h**2 + 0*h + m*h**3. Determine s, given that b(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003913574814 rounded to 6 dps?\nAnswer: 0.003914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 3 - -2*23. Suppose -4*b = 4*y - c + 1, -b = 4*y - 35. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, f: 4}. Give prob of sequence ff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -33, -74, -131, -204?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 45 = 5*u, -m + 15 = 2*u. Suppose 5*s + 30 = 2*l, -m*l - 2*s + 5*s = -37. Suppose 19 = l*y - 1. What is the smallest value in y, 3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5459 + 0.5459. Let t = -15 - -8. What is the third biggest value in t, -3, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -22. What is the closest to 3 in s, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 - 6)) + (-5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 9*t. Let d(s) = 12*s - 22. Determine o(d(v)).\nAnswer: -720*v**2 + 2532*v - 2222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 = 4*q - 3*q + 2*r, 0 = -4*q + 2*r + 2066. Suppose q = 6*c + 19. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 1. Let l be h(-1). Let d be (-30)\/240 + ((-1)\/8)\/(-1). Suppose -l*s + 4 + 56 = d. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 454 + -452. Solve -x - 4*k + y*k = 10, 2*k = 3*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -5580 (b) 0 (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:47 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 88*p**2 - p - 2. Let q be (-2 - (-38)\/(-4))\/((-3)\/6). Suppose q = -u + 26. Is g(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)*z**(-10)*z*(z**(7\/4))**(-27) assuming z is positive.\nAnswer: z**(-2933\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4260 and 97\/5680?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:35 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1*(-59)\/(1239\/(-28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 12*h**2 + (h + 3*h - 5*h)*(4*h - 2*h - h).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002996 rounded to 7 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(6*(-1 + sqrt(171)) - sqrt(171)) + (2*sqrt(190)*-3 + sqrt(190))\/(1*sqrt(1440)))**2.\nAnswer: -25860*sqrt(19) + 88982971\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:47 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2 - 370440*f + 6861289680 = 0.\nAnswer: 37044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/7)\/((-3)\/(-2)). Let x = -1 + -1. Which is the nearest to o? (a) x (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqoqqqqqoo. What is prob of sequence qqoq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 562541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/9 + 6382*k\/3 - 363052\/9 = 0. Calculate k.\nAnswer: 19, 9554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38902104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135178?\nAnswer: 2, 67589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*n - 47*n + 61*n as c + q*n and give q.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2591, 5841, 9091, 12347, 15615, 18901?\nAnswer: 22211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -16. Let g be (4 + 1)\/((-4)\/t). Suppose 4*c - p + 1 + 12 = 0, -3 = -c - p. Let f(y) = -y + 1. Let b(v) = -v**2 + 5*v - 6. What is c*b(q) + g*f(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 - 10*j**2 - 20*j**2 + 12*j**2.\nAnswer: -41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -55. Suppose -4*x - 32 = 4*r, 3*x + 4*r = 3*r - 16. Sort w, -1, x, -0.1.\nAnswer: x, -1, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqppqpppppqpppppqp. What is prob of picking 1 q and 1 p?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/96 and 117\/20.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:33 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4574 + 324755\/71. What is the smallest value in -1\/4, c, 4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let y(c) = -88*c**2 + 74*c. Let l(r) = 18*r**2 - 16*r. Let w(j) = -14*l(j) - 3*y(j). What is u(w(o))?\nAnswer: 288*o**4 + 96*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z**3 - 2*z**2 + 2*z + 4. What is the remainder when 107 is divided by p(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610223 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59, 56, 45, 20, -25, -96, -199, -340?\n\"Answer: -u**3 + 2*u**2 - 2*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*x**2 + 7\/4*x - 1\/2.\nAnswer: (x + 1)*(9*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3428 - -4?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -36. Suppose -s = -123 + a. Is 12 a factor of (-1)\/1*s\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 463, 475, 487?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2. Let x(m) = 21*m**2 - m - 1. What is -11*r(b) + 2*x(b)?\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - m**2 - 7*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35 = -0*i. Let m(y) = y + 5. Does 7 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 + 0.6. Let n = -8.3 - -2.3. Which is the third smallest value? (a) -4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218.2 - 251. Let j = a + 36.7984. Let x = j - 4. Round x to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 5*t + 2. Let w be x(5). Let f = -3 - -25. Suppose 2*q - 94 = -4*g, q - w*g - g = f. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*c + i, -5*i + i = -4. Suppose 6*u = 4*g - 24, -4*g - 2*u - 2*u = -64. Put c, 5, g in ascending order.\nAnswer: c, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1478365*g**3 - 1018*g**2 + 10 wrt g?\nAnswer: 8870190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/120 + s**4\/4 - s**3\/6 + s. Let p(f) be the second derivative of k(f). Let a be p(-3). Solve 0*b = -a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 2, -4\/3 in increasing order.\nAnswer: -4\/3, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -342498*b + 342426. Determine f(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:29 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/18868559 or 0?\nAnswer: 3\/18868559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzbzbzt. What is prob of sequence ztz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 46251 = 70333 + 111274. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -48*y - 9*y + 324 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 3136*q\/3 - 1045.\nAnswer: -(q + 1)*(q + 3135)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -121031004?\nAnswer: -121031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -23.8201?\nAnswer: 22.8201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75522, -75555, -75588?\n\"Answer: -33*c - 75489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 169\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131756.52 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1064\/70 + -15 + 24\/5. Sort -4, -3, a, -60 in decreasing order.\nAnswer: a, -3, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + 3 + -2.\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 27*d + 7766. What is the thousands digit of m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785\/196 - (-11 + (-24)\/(-36)*30)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 5*h**2 - 3 + h + h**4 - 5*h**2 to the form a*h**3 + b*h**4 + i + d*h + f*h**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 53*u**2. Let o(k) = -24*k**2. Determine l(o(t)).\nAnswer: 30528*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, -2\/15, 22?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*13\/91)\/((-5)\/((-210)\/4)). What is the fifth biggest value in 6, 0, d, -0.4, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -306, -601, -896, -1191, -1486, -1781?\n\"Answer: -295*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)\/g)**(-10\/7))**10 assuming g is positive.\nAnswer: g**(500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 - (-47)\/9. Suppose -3*b = i + 3, -d*b - 15 = 4*i + i. Suppose b*k = 5*k + 5. Sort 4, k, 0 in increasing order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 12 - (-7 + 45 + -20).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from bkkkkrrkr?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/6 + a. Let y = -187 - -183. Let z(m) = m**2 + 3. Let c(g) = 2. Let w(n) = y*z(n) + 6*c(n). Calculate i(w(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3777792 and 176?\nAnswer: 41555712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*x**6 - 16 + 15 + 224*x**2 - 60*x**2 + 336*x**2 wrt x?\nAnswer: -22320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39130573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - 20*n + 2. Let q be r(-6). Calculate the highest common divisor of 154 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 49 + 2*s + 3*s**3 - s**3 - 29 - 6*s to g*s + p*s**3 + i + x*s**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tztttttttttt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38014154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c*c*c**(-1)\/c)\/c)\/c*c)\/c**(-6))\/(((c**1*c)\/c)\/c*c*c)**(6\/17))\/(c**(-3\/5)*c*c*c\/(c**(-5)\/c)*c**(-6)*c*(c**(1\/4)\/c)\/c) assuming c is positive.\nAnswer: c**(1239\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1600 = 3*t. Round t to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33205.\nAnswer: 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*z**3 - 24*n**3*z**2 - 7*n*z**2 + 3*z**3 - 3*z**2 wrt n.\nAnswer: 6*n*z**3 - 144*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -111. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2. Let i(a) = -8*a**2. Let q(o) = -31*o**2. Let z(d) = -9*i(d) + 2*q(d). Determine z(y(h)).\nAnswer: 160*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - c?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250020*d - d**3 - 250020*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13902750 (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5877, 3\/277, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3304*l**2 + 3*l + 18. Let y(u) = -214760*u**2 - 196*u - 1176. What is -196*h(j) - 3*y(j)?\nAnswer: -3304*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*x - 29. Calculate the least common multiple of x and 10\/(-4)*(-18)\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30 + (-3)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*d**4 + 1511*d**2 - 76*d - 142.\nAnswer: 252*d**2 + 3022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 49*m**2 - 51*m - 146. What is v(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + -1 + 31 + 234 + -238?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 4460*c**2 - 958525*c + 954070 = 0. Calculate c.\nAnswer: 1, 358, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3318047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -p - 1, 5*p + 5*r = -5. Let f be (-22)\/4 - 6\/p. What are the prime factors of (2 + -1)\/(f\/(-484)*1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 4*b - 1. Let v = -354 - -360. Give m(v).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*h - 30 = -2*v, -2*h = -v + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 5*z + 13. Let g(v) = 3*v**2 + 15*v - 38. Let q(o) = 17*b(o) + 6*g(o). Let s be q(-6). Sort 4, s, 2\/13 in ascending order.\nAnswer: s, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 940030 and 22453288?\nAnswer: 785865080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 g when four letters picked without replacement from ggggkgkgkg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 10 = -6*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 3, j: 1, a: 9, o: 2, l: 3}. What is prob of sequence zk?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4682876919.\nAnswer: 3, 7, 479, 465541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -458446068464 and 14?\nAnswer: 458446068478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 77*t**2\/2 - 158*t + 193. What is the first derivative of m(y) wrt y?\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u - 136*u**4 + 132*u**4 - 7*u**2 + 2 + 11*u as z*u + p + k*u**4 + n*u**2 + i*u**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1220 and 127\/1678650.\nAnswer: 204795300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-10)*i)*i)\/i**(1\/8)*(i**2\/i)**(-1\/6) assuming i is positive.\nAnswer: i**(233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-1)\/(-2) - (0 - -3). Let d = 4 + n. Let q(r) be the second derivative of -r**4\/6 + r**3\/2 - r**2\/2 - r. Determine q(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1329.041 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*s + 111*s + 16*s.\nAnswer: 510*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Suppose -3*a + 8*a = 3*z - 62, 0 = h*z - 2*a - 36. Calculate the lowest common multiple of z and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j + 1. Is -4479*(-1)\/j + 108\/(-144) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*z + 1096, -3*k - 5*z + 1079 = -8. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87864, -88799, -89734?\nAnswer: -90669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 - 35*z**4\/12 + 65*z**2\/2 + z - 53. What is the derivative of t(j) wrt j?\nAnswer: -3*j**2 - 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27904938759.093102 + -27904982093. Let a = 43403.907 + i. Let t = 70 - a. What is t rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164335464 and 1136?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36972827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17136 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -2 + sqrt(19) - (-4 + sqrt(171)).\nAnswer: 2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 - 1. Suppose 2*v - 4*v = -10. Let u(n) = 3*n**3 + 15*n**2 + n - 3. Let s(a) = v*c(a) - 2*u(a). Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 69.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0, 1414\/3, 4, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140817*a**3 - 13*a**2 + 3*a + 165 wrt a.\nAnswer: 844902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**2 - 41. Let x(q) be the second derivative of 3*q**3\/2 + 2*q. Determine x(v(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 + 7*c - 4. Let f be 2\/2 - (-15 - -15). Suppose 9*x - 62 - f = 0. Let d be y(x). Let q(o) = o**3 + 4*o**2 + 3*o + 5. What is q(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32251 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 39*l + 154. Determine g(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 - 5. Suppose 0 = t*m - 19 + 5. Suppose 5*r - 38 = m. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10374\/(-609) - -17)*0. Suppose 0*l + t*l**3 + l**2 - 4\/5 - 1\/5*l**4 = 0. Calculate l.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517905 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s + 5*f - 1778, 0 = -3*s - 4*f + 1333. Suppose -4*d + s = -293. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c + 3*c + 3*b, 0 = 4*c + 2*b - 2. Suppose -4*k - 1 + 10 = h, 3*h + c = 2*k. Suppose l - 3 = k. Sort l, -5, 2.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 2*o - 1. Let g be b(1). Suppose 0 = y + g*y - 104. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 32.093.\nAnswer: 32.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**2 - 146*y + 34. Does 24 divide r(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 2:07 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 21436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-912)\/232 - (306\/1904*-24 + 2\/(-14)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5083573 minus -0.19?\nAnswer: -5083572.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 25966123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:53 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -184*c + 1682. Let m be l(9). Let g(p) = -p**2 + 23*p + 83. Give g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 1, z: 3, t: 3, w: 2}. Give prob of sequence ttz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66a1a1 (base 11) to base 6.\nAnswer: -34515010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -323\/2, -0.6, 0.3, -5, -0.5 in ascending order.\nAnswer: -323\/2, -5, -0.6, -0.5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 + 6*k - 3. Suppose 5 = -3*r + 2*r. What is u(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20704 is divided by 1218.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.1. Let v = -128.7 + 128.5. What is the nearest to -2\/5 in 6, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -50597435.\nAnswer: -50597439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.7. Let l = -0.9 - i. Let c = -0.6 + 3.6. What is the second biggest value in c, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s - 429 = -42 + 514 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*d**3 + 1 + d**2 - 3 to c*d**3 + v*d**2 + k + n*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3510\/11*i + 27702\/11 + 2\/11*i**3 + 146\/11*i**2.\nAnswer: 2*(i + 19)*(i + 27)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3802812 = -4*k - 8*w, -8*k + 3*w = -10*k + 1901413. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2674993, 5350002, 8025013, 10700026, 13375041?\nAnswer: 16050058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4514, -17276, -38286, -67544, -105050?\nAnswer: -150804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5. Let q(d) be the second derivative of -d**3\/6 + 2*d**2 - 396*d. Give 4*f(t) - 5*q(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 229513693 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y = 33*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) - (-81)\/(-15). Let f = -7 - s. Let t(d) be the first derivative of d**4\/4 + 2*d**3\/3 + 3*d**2\/2 + 8. Calculate t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 250. Suppose -5 = -j + 3*p, 0 = y*j + 4*p - 62 - 1. Solve -5*k - j + 1 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123451206 - -2?\nAnswer: 123451211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, j: 7}. Give prob of picking 1 v and 3 j.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-165)*11)\/((-144)\/(-400))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 4}. Give prob of sequence aja.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(3)*-2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500687?\nAnswer: 11, 23, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*-6*(2*sqrt(125) + sqrt(125)) + -5 + 4)*-3)**2.\nAnswer: 3240*sqrt(5) + 1458010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634*y = -13484 + 53879 + 42939 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 + 5*x**4\/4 - x**3\/2 - 17*x**2\/2 + 6*x. Does 7 divide f(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 - -1250055?\nAnswer: 1245335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39566287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at least as big as -621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, v: 1, a: 2, j: 7}. What is prob of picking 2 j and 2 a?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5500, -5553, -5610, -5671?\nAnswer: -5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-33))\/(-2)*4\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1680442 and 8224353.\nAnswer: 6133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**4 + 7*y**3 - 7*y**2 - 13. Let m(o) = -4*o**4 - 2*o**3 + 2*o**2 + 4. Let a(r) = 14*m(r) + 4*w(r). What is the derivative of a(g) wrt g?\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-16)\/(-64))\/((-2868)\/3872) - (-1)\/3 and 52\/5?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000001001 + 1?\nAnswer: -10110000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.7, -49, -0.32 in descending order.\nAnswer: 1, -0.32, -2.7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/(-1 - -4)*(-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/17)\/q)\/(q\/(q\/q**19)) assuming q is positive.\nAnswer: q**(-343\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 56 + 1716*z + 8 + 19 + 13 to w + s*z and give s.\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 128627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-15)\/(-450)*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 2484?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 629625 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 30 = 2*y. Suppose -3*n - 4*k = -k + 48, k - 59 = 4*n. Calculate the common denominator of (1 + n\/y)*54 and 8\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4307857.\nAnswer: 5\/4307857","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*((-14)\/(-49)*7)\/24?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 * 782\nAnswer: -36.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1343421 (base 5) to base 9\nAnswer: 42345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 12 = -4*r - 3*l, 3*l = 4*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*-3*3\/(-27). Let v = -3 - -4. Let t be (-1 + (4 - v))\/(-13). What is the closest to u in -0.5, t, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - u + 2*u = 2, -6 = -5*v - 2*u. Suppose -8 = -v*w - 2*w. What is the second derivative of -w*c + c**5 + 6*c + 5*c**5 - 3*c**5 wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306786405.\nAnswer: 3, 5, 20452427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*n - 204, -p + 3*n - 2*n = -60. Suppose 4*k - p = -3*k. Suppose 376 = -5*t + k*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*r - y, 74 = -4*r + 5*y + 68 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/4 + 621*s**3\/4 - 2843*s**2 - 9933*s = 0. Calculate s.\nAnswer: -3, 0, 22, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1330 + -1399?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 27*d**2 - 37*d + 259. Let i be g(28). Solve 48*a = 52*a + i*u - 15, -2*a = -4*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 + -3 + -5 + -13 + -10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*r = 20, -23 = 3*p - 4*r + 15. Let l be 26\/p - (-4)\/(-10). Calculate the least common multiple of 11 and (3 + -8)\/(-5) - l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-1)*x))\/x*x*(x*x**(2\/7))\/x*x)\/((x\/(x\/x**0))\/x)**(-6))\/((x**(-3)\/(x*x\/x**5))\/(x**3*x\/(x\/x**(-1\/3))*x)) assuming x is positive.\nAnswer: x**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(1 - (1 - 1)). Suppose -4*z = 2*p - 32 - 20, z + 57 = 3*p. Suppose -m*v + p = -86. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3021 and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 129129\/(-3354) + 76\/2. Let a = 1.9 - 2. What is the closest to l in -82, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6500 by -1300.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3\/2 - 1107*k**2 + 217872*k - 4942704 = 0.\nAnswer: 26, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(3*x**3 - x**3 + 0*x**3) + (720 - 200 + 129)*(x**3 + 3*x**3 - 2*x**3 - 2).\nAnswer: 1294*x**3 - 1298","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(4)*2)\/sqrt(2) - (-4 + sqrt(32)))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q**3 - 6*q**3 + 2*q**4 + 41*q**3 + 35*q**3 + 1453*q + 6*q**4 wrt q?\nAnswer: 96*q**2 + 348*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + u - 15 = 0, 2*f + 0*u = -4*u + 12. What is the lowest common multiple of ((-3)\/6)\/((-1)\/12) and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 - 967\/5. Suppose -19224 = 45*m + 31986. Let i = -3416\/3 - m. Put v, i, -0.4 in ascending order.\nAnswer: i, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -773?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26 + 2 - 5) + -1 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102283617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*y = 30, -10 = -5*y + 15. Let r(s) = -87*s - 88. Let l be r(-1). Which is the second biggest value? (a) 0 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oynyoyooyyyoyanoana. Give prob of sequence ooan.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.1 + 39. Let o = 0.9 - j. Which is smaller: 0.3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/87*90\/(-220)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34017*y + 34017*y + 104*y**2 + (y - 4*y + y)*(2 - 2 + y) + 2*y**2 + y**2 - 5*y**2 + 2*y**2 + 0 + 0.\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -417\/4 != -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/147 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -12958, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.98 + -0.02. Let h = -13 - j. Let v = 40 - 201\/5. Which is the closest to -2? (a) h (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-15 + 81\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 + 1083.4?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 49 - 4*u + 46 + 15.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h - 44. Let n be z(3). Let l(c) be the second derivative of 2\/5*c**2 + 1\/60*c**n + 14*c + 0 + 2\/15*c**3. Find b such that l(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*x - 107*x + 1296. Solve -4*v - 7 = -6*z + 5*z, v = -3*z - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -22. What is the third biggest value in -3, b, 14, -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) + (-10)\/((-240)\/(-18))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 67732.53*-0.13\nAnswer: -8805.2289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678*v + 2374*v + 776 + 780 - 1556.\nAnswer: 696*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 6) to base 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 + 2 - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0*u - 2*u + 31 + 3*u - 4*u. Let j(y) = -y**2 + 10*y - 8. Let n be j(11). What are the prime factors of o(n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -15\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1002 + -999. Solve 3*r + l*h = -6, -r = -4*r + 2*h + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -8*k**2 + 1\/5*k**5 + 0*k - 28\/3*k**3 - 72 + 1\/6*k**6 - 3*k**4. Factor b(p).\nAnswer: p*(p - 4)*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 + 3*j - 2. Let n(v) = v**2 + v. Let d(y) = 4*n(y) + p(y). Let g(c) = -5*c**2 + 6*c - 1. Let l(r) = -4*d(r) + 3*g(r). Let l(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/18 - (-2)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266369, 266377, 266385, 266393?\nAnswer: 266401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815268 divided by -127.\nAnswer: -1815268\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116.4 + -116. Let u = 4 - 2. Put p, u, 3 in decreasing order.\nAnswer: 3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 - -611\/2. Sort 2, a, 0 in descending order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10026492*i**2*n - 2*i*n + 2*i - 78*n - 8366 wrt i?\nAnswer: 20052984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 2 + 4*w**3 - 4*w**2 + 4*w - 4*w - 3*w**3. Let v be o(5). Let m = 9 - v. Solve 3*q + m = x + 12, 5*x = -4*q - 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + 3*x**4\/4 + 4*x**3 - x**2 - 5599*x. Give z(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4311.914 kilometers to centimeters.\nAnswer: 431191400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.633 and 624066135.\nAnswer: 624066132.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.393+-36032\nAnswer: -36032.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(7)*4 - sqrt(28)\/sqrt(400))**2.\nAnswer: 399847\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 17*z + 8. Let a be p(16). Sort a, 2, -1 in increasing order.\nAnswer: a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39027.\nAnswer: 3, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*u - 14, 4*n = -4*u + 23 - 3. Suppose u*r - 38 - 223 = 0. Calculate the remainder when r is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*j - 0 + 6, 14*q - 5*q + 3*j - 8*j = -3*j - 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsww when four letters picked without replacement from qqsswqqsqssqpwwsss.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712687 is divided by 1151.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*w - 48, 3*w = -2*m + w + 16. Let u = m + 0. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wggw when four letters picked without replacement from rhwglttwwtr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 4. Suppose -5*a = -129 + p. Suppose 6*k = 3*k + 5*h - a, -3*h = 4*k + 3. Sort 3, 1, k.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39655 and 462?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -647?\nAnswer: -646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16407*y**2 + 16294*y**2 - 1 + 1.\nAnswer: -113*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000767754925 to five decimal places.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -59.2, 0.4, 3, 3\/17, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-117)\/(-65)*(-15)\/(-18). Let s(g) = 31*g**2 + g + 1. Let r be s(1). Which is the third biggest value? (a) r (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 4. Let t be 2\/(-8)*314*-2. Let m = t + -75. Calculate the remainder when m is divided by n(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3252 = -82. Suppose -x - 287 = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 925167688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 - -2?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*1 + 85\/95?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -51.5. What is the smallest value in 3.2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, -2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -31, -506, -5.\nAnswer: -506, -31, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 + -1.07. Let m = 0.37 + k. Let s = -17 - -16.4. What is the closest to s in m, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 4*k - 50 = -35*h, 79 = 3*h - 4*k for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (26 - 24) - (1 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 5. Let b be a(2). Suppose 0 = -2*p + b*p - 9. Suppose 5*k + 144 = 7*k. What is the highest common divisor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjjspppppppjspppspp. Give prob of sequence ps.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 36*w + 79. Let u be c(34). Suppose 8*r = -u*r + 25137. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6119885, 6119867, 6119849, 6119831?\n\"Answer: -18*l + 6119903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/(4059\/18) - (-1446)\/(-10736) and -29\/6?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h - 16. Let l(m) = m + 4. Let j(a) = -9*l(a) - 2*r(a). Let f be j(4). Let u be 2 + (-58)\/18 + 1. Are f and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 37.4. Sort 1\/8, 2\/5, i.\nAnswer: i, 1\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 22 + 19 + 53*r)*(-r**3 - 2*r**3 - 6*r**3).\nAnswer: -477*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115919238 rounded to the nearest ten thousand?\nAnswer: 115920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:41 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-55) + (-36)\/(-10). Let o(v) = 7*v + 2. Let c be o(a). Suppose c = 2*w + w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-5))\/(39\/(-117)). Let l(n) = -n + 5. Let k be l(5). Sort k, r, 1.\nAnswer: r, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35766\/5 - 7153. What is the closest to -1 in 4, 0.5, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*n - n. Suppose 0 = 4*f + n - 3. Let i(w) = w**3 - w**2 - w - 1. Calculate i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -48*g - 282. Determine d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 8) + (156 - 165)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:13 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7 and 61\/22558.\nAnswer: 157906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -47. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114972 and 44.\nAnswer: 114972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34003253142880 + -0.1.\nAnswer: 34003253142879.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6 - 3626\/148. Let k(w) = w**2 + 22*w - 24. Determine k(j).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -51. What is the second biggest value in -0.2, 2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1515613879 to the nearest integer?\nAnswer: 38931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -3826.\nAnswer: 765.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 61 = 125 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 + 20*u**4 - 12*u**3 - 52*u**2 + 32*u + 48 = 0. What is u?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*q - 4*q - 16*q. Calculate the remainder when 212 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 5 (b) 0.5 (c) -1\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - -1 - (64 + -43 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 7)*(2 - 2 + 3*o)*(-5*o**2 + o**2 + 3*o**2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1730 - 1200. Suppose -3*u + l = -5*t, 2*u + t = 4*u - 344. Suppose -4*o = -u + 2. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1975\/849 - 2\/283. Let y = -25\/12 - w. Let l = -4 - -8. What is the second smallest value in l, y, -5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 23*v**2 - 2963*v + 71. Give p(129).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - u = -0*p - 36, 2*p - 5*u = 24. Suppose 24 = 3*z + f + 2*f, p = -z + 4*f. Suppose -317 = -z*n - 65. What is the remainder when n is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1224387 grams to nanograms.\nAnswer: 122438700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1006 + -1006.00934. What is k rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 20*z - 295. Let n be s(10). Solve -j + 1 = -2*k, -5*j - n*k - 45 = -35 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-14 - 1) - (-29 + 28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3845 + 764. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**3 - 2*w**2 - 13*w - 5. Let f(c) = -3*c**3 - c**2 - 6*c - 2. Let u be 3\/(-8)*(-1472)\/138. Give u*d(p) - 9*f(p).\nAnswer: -p**3 + p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((0 - 6) + 2 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444367802?\nAnswer: 2, 3347, 66383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 4*o**2 + 4*o**2 + (-1 + 1 - o)*(3*o**2 - 3*o**2 + o**2) - o**3 + o**3 - o**3 + 9 + 5*o**3 - 9 - 29565 - 1014*o**3 + 29565.\nAnswer: -1012*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -37*y**2 + 2*y. Let g(x) = -666*x**2 + 37*x. Let s be (-185)\/(-4)*(-564)\/(-705). Give s*d(l) - 2*g(l).\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Let t = 1 - x. Let y = -0.2 + -0.8. Which is the second smallest value? (a) t (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -97. Suppose 4*g - 84 = f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2423 + 2533. What is the smallest common multiple of w and 480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -727\/7 - -104. Let b be 39\/175 + 2\/(-14). Let d = 13\/150 + b. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = f - 10, -5*n - f + 9 = -3. Let k(h) be the first derivative of -n + 0*h**2 + h + 2\/3*h**3. Find the first derivative of k(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 734151566 and 712.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 5, e: 4}. Give prob of picking 1 c and 2 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + 184. Suppose -15*c + l = 4*c. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -11. Calculate the greatest common divisor of 88 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8728*a. Let w(h) = 11*h + 3861. Determine w(d(j)).\nAnswer: -96008*j + 3861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-621)\/(-108) - 6\/8. Suppose -t = 2*q - 641, -q - q = n*t - 661. Does 58 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 + -902. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*((2 + sqrt(304) + 2 + sqrt(304))**2 + (2 + 2*sqrt(304))**2)*4.\nAnswer: 2304*sqrt(19) + 58846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1144 - -737. Let u = y + 499. Calculate the remainder when u is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 8 - 232*z - z**2 + 3*z**3 + 232*z as o*z + w + a*z**3 + c*z**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - 6*k**5 - 3*k**5 + 5*k**5 + k**5 - 4*k**5 + (-12*k**5 - 5*k**5 + 3*k**5)*(2 + 0 - 3).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 21 = 4*z, -13*t = -5*z - 10*t + 27 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3602 and -1.267?\nAnswer: -4563.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/70, 0.1, -2, 25, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13431032420 (base 5) in base 8?\nAnswer: -102415767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7959*k - 2686*k + 1603*k.\nAnswer: 6876*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.665? (a) 1\/186 (b) -2 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000 = 19*p - 1038 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48474 is divided by 281?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**15\/(y*y**(1\/11)*(y\/(y\/(((y**1*y)\/y)\/y*y)*y))\/y) assuming y is positive.\nAnswer: y**(-331\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*q - 3, 5*w - 2*q - 12 - 7 = 0. Suppose w*l - g + 178 = 599, l + 3*g = 137. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/28*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 455735 + 3736135. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 3}. What is prob of sequence kk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112103012 (base 4) to base 2.\nAnswer: -1001010110010011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/12 + ((-3)\/(-30) - (-8)\/20).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118041\/5 greater than or equal to -23609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131584 and 512.\nAnswer: 131584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11))**29*(z**(-2\/3))**41 assuming z is positive.\nAnswer: z**(-989\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 20*m**2 + 34*m - 32. Let p be h(-17). Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2163 * 14.4\nAnswer: 31147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11199865683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2 + sqrt(117) - sqrt(117))*2)\/((sqrt(864) - sqrt(54))\/sqrt(6)) - -1*((0 + sqrt(208))**2 + -1).\nAnswer: 4*sqrt(13)\/3 + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 21*d - 11. Give u(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10179.94 - 10180. What is the smallest value in -0.4, 3, 34, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 6068*s**2 + 120518*s - 126588.\nAnswer: 2*(s - 1)*(s + 21)*(s + 3014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdkjdvgpdgpddppp. What is prob of sequence gvg?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 158*z**2 - 89*z + 149. Calculate r(-31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 4\/3 (c) 7 (d) 7\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**5 + 2*u**3 + 0*u**4 + 0*u**4 - 2*u**5 + (-1 + 2 + 0)*(3*u**5 - 2*u**5 - 2*u**5) - u + u + 2*u**5.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14*p*p*p*p*p**(-7\/2)*p*(p\/p**(-1\/6))\/((p*p\/p**(-14\/3)*p*p*p)\/p))**3 assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 21 = -4*l - 33, 4 = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/4)\/(-3) + 2\/(-8). Suppose 2*p + 49 = w*s + 9, -2*s + 8 = 0. Let a be (3503 + -3)*5*1200\/p. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 (base 12) to base 3\nAnswer: -122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/3711, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3146, 3149, 3162, 3191, 3242, 3321, 3434?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019219 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(36)\/sqrt(3)) - (sqrt(304) + -1*sqrt(304))) + -5)**2 + 3.\nAnswer: -10*sqrt(19) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174150 + -89221. What is o rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009599 to 5 decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, o: 4, z: 1, m: 2, c: 3}. What is prob of sequence oolo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -5 (b) 0.2441 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 4*i - 1. Let d be z(-2). Suppose l + 4*x - 86 = x, d*l - 5*x - 202 = 0. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56\/(-2))\/(3\/(-18)). Suppose 0 = -0*u - 4*u + j. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -4*z - 4, -z = 5*n - 22. Suppose -n*h + 5 = r, -6*h + 2*h + r = -11. What is the tens digit of -2*h\/(12\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5fb3da (base 16) to base 15\nAnswer: -83d55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57318 and 23.\nAnswer: 1318314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - 3 - (-1 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*c - 175 - 170 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -20*x + 5*n + 295, -3*x + n + 449 = 0. Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.0102 - -45. Round q to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55992.5 - 174273385\nAnswer: -174217392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17047976 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: Collect the terms in -27*j**3 - 5*j + 5*j + 26*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.634 + -2.944. Let t = -9.65 + 4.96. Let y = m + t. Which is the nearest to -1\/4? (a) -4 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127883 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 93635 and 0.\nAnswer: 93635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51730421*i**3*l**3 - 14016238*i**2*l**3 + l**3 wrt i.\nAnswer: -310382526*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*2\/30. Let f = -10442 - -10442.02. What is the smallest value in f, 0.2, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30384, 2, 16, 5 in ascending order.\nAnswer: -30384, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124474, 124475, 124474, 124471, 124466, 124459?\nAnswer: 124450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 5 - 1 + 60 - 42 + 3 - 25.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -720512.\nAnswer: 1\/360256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 567, 866, 1181, 1518, 1883?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11188547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + s**2 - 5*s**2. Let t(z) be the second derivative of -z**4\/3 + 20*z. Determine t(b(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87481415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 2254.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*((-4)\/(-7))\/(32\/112))\/((-2)\/(-5)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*d, -6*n + 2 = -9*n - 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160871943 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077.097ml in litres?\nAnswer: 4.077097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-208)\/36 + (-2)\/9. Let b be ((-14)\/5)\/(p\/30). Let k = b - 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15572 + 15573. Which is the nearest to -1? (a) 0 (b) 2\/3 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*g = -47*g + 116*g + 2280 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Let c(v) = -2*v - 8. Let a(d) = -2*d - 8. Let l(o) = -5*a(o) + 6*c(o). Calculate the smallest common multiple of l(-6) and z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11*(-6)\/(-132)*((-6)\/(-3))\/(-2). Let r(y) be the first derivative of 0*y + 1\/6*y**3 - d*y**2 + 4. Factor r(c).\nAnswer: c*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 928*p**2 + 679*p = 0.\nAnswer: -679\/928, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8229 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8*3\/(-6))\/4. Let v be (-2)\/17 - (-11 + (-588)\/(-204)). Solve v*m = 3*b + 3*m - 1, b + r = m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 6 = 3*i, 2*i + 2 = 5*f - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/982642 and -43\/5054.\nAnswer: 6878494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-21)\/56)\/((-18)\/(-8)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -10. Suppose 5*j = j + w. Calculate the remainder when 10 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261531.\nAnswer: 3, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 309 * 103.88\nAnswer: 32098.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/4 - 28957*p**4\/2 - 173755*p**3\/4 + 57914*p**2 + 173751*p = 0.\nAnswer: -3, -2, 0, 2, 57917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - x - 15, 0 = -4*g - x - 2*x - 7. Solve -2 = l - g*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5909, 6067, 6425, 7061, 8053, 9479, 11417, 13945?\n\"Answer: 13*s**3 + 22*s**2 + s + 5873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 5) to base 13.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.689 + 1?\nAnswer: -45.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7926 and 39630?\nAnswer: 39630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 57679974.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013438144 rounded to 7 dps?\nAnswer: 0.0001344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763622292 to the nearest integer?\nAnswer: 27634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 - 4*s - 38. Let g be f(-11). Is 76 - 3\/1*(-2)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + r + 2*r. Let l(d) be the first derivative of -2*d**2 + 75. Give m(l(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2649859.\nAnswer: 1\/2649859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 take away -0.2?\nAnswer: -468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 70?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*r - 29*r - 27*r)*(4 - 4 - 2*r**2 + (-3*r - 3*r**2 + 3*r)*(-1 + 1 + 1) + (-3*r + 3*r - r)*(4*r + r - 4*r)).\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y + 92. Let f be b(-6). Let g(a) = -a**2 + 3*a. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.1 (c) 0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + i + 0*i)*(7*i - 3*i + i) + (-3*i - 3*i + 3*i)*(9 - 17*i - 9) to the form g + h*i**2 + b*i and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114612123 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30246319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvz when three letters picked without replacement from nvvuyzvv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a612 - 1763?\nAnswer: 58a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1\/2 (b) -22 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046084728 rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 0. Let y = 2\/2151 + 4232\/75285. Is f at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4fb31 (base 16) to base 3\nAnswer: 121120210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*i = -2*l - 8, -4*l - 5*i = 10. Let g(t) = 7*t**2 - t. Let p be g(1). Let n(h) = -h**3 + 5*h**2 + 5*h + 1. Let u be n(p). Sort u, l, 4.\nAnswer: u, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a8 (base 11) to base 2\nAnswer: -10010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-586)\/(-183711)*(-225)\/(-75)?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 - -647280\nAnswer: 647280.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3502, 7014, 10516, 14002, 17466, 20902, 24304, 27666?\nAnswer: 30982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 - 11853*a + 23694 = 0.\nAnswer: 2, 3949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 8 + 8 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -27. Let c = -898.07 + 898. What is the nearest to c in 2\/9, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 8 - (8 + -22). Let t(c) = -23*c + 5. Let z(v) = -8*v + 2. Determine y*t(x) - 8*z(x).\nAnswer: -5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7267, -29554, -66731, -118798, -185755, -267602?\n\"Answer: -7445*w**2 + 48*w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 15. Suppose r*y - 16 = 4*i, i - 2*i = -5*y + 21. Suppose 10*j + y = 9*j. Sort 5, j, 2 in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 2*f - 7*f**3 + 0*f**3 - 2*f**3 in the form d*f**3 + i*f + c*f**2 + v and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1265, 5001, 11237, 19979, 31233, 45005?\n\"Answer: i**3 + 1244*i**2 - 3*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 908, 2201, 4302, 7217, 10952, 15513, 20906?\nAnswer: 27137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234719587?\nAnswer: 107, 2193641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5. Suppose -15 = -3*z - 2*t, 4*t + 4 + n = -z. Solve 0 = z*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a + 43 = -55*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658594859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 61127 + 339363 = -327740. Does 86 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a95 (base 12) to base 6.\nAnswer: 303105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332998 is divided by 110592.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 11*i**2 - 22*i - 10. Determine b(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/3 + 2\/(-3). Suppose h*b + 2*d = -421, -d + 6*d + 160 = -2*b. Let v = -60 - b. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2455*-0.2422.\nAnswer: 594.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6908927841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*o + 2639 = 7372 + 3823. What is the remainder when 212 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (0 - -2))*-31. Is (-2 - 0) + k - -3 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 13.8, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-12 + -4 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - c - 26 = -6*p, 5*c - 80 = 4*p. Let l be (p\/9)\/((-3)\/9). Suppose 4*z + 1074 - 3 = l*k, 5*k + 5*z = 1080. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 110. Suppose 3*d - 5*x = -0*x + 15, -10 = -l*d + 3*x. What are the prime factors of 6\/10 + (37\/d - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*f + 11 = -9, 8 = -2*j - 5*f. Sort 737, j, 1\/5.\nAnswer: j, 1\/5, 737","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 270. Let o be (-353)\/(-9) - 20\/t. Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 + -279.99. Let o = 1.0100516 - l. What is o rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 103*p**3 - 2*p**2 + 14*p - 19. Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (4 + -13)) + -1 - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - (-4)\/2 - -8. What is the greatest common divisor of g and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5410.149435 rounded to 0 decimal places?\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -583, -1158, -1731, -2302?\n\"Answer: q**2 - 578*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/60 - 3*i**4\/8 + i**3\/3 - 259*i**2\/2 + 243*i. Let z(a) be the first derivative of u(a). Give z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -5, 0, 7, 16, 27, 40?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 9. Let z(o) = -o**3 + 2*o**2 - 2*o - 2. Let t be z(2). What is the lowest common multiple of y(t) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85858.\nAnswer: 2, 42929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*s - 0. Solve -5*h + 4*h = -s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1241, -2521, -3857, -5273, -6793?\n\"Answer: -4*l**3 - 4*l**2 - 1240*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.67, -0.4, 0, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*f**2 - 4\/5*f**3 + 4\/5*f + 92.\nAnswer: -4*(f - 1)*(f + 1)*(f + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4805*n**2 + 1491*n**2 + 1549*n**2 + 1619*n**2.\nAnswer: -146*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -802, -3349, -7644, -13693, -21502, -31077, -42424?\n\"Answer: -p**3 - 868*p**2 + 64*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*h**3 + 634*h - h**2 - 308*h - 326*h.\nAnswer: 280*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -966797.315 rounded to the nearest 1000?\nAnswer: -967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-283)\/(-8) - 45\/120 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 13*l**2 - 8*l + 1. Let w be i(-6). Let m = -120 - w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/962 and -53\/11193.\nAnswer: 828282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(1\/6)))**4*((g**(-1\/8)*g)\/g)\/g*g**11*g)**37 assuming g is positive.\nAnswer: g**(10249\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 291*b - 41. Let y be f(17). Let x(s) = s**2 - 10. Calculate x(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*s = -27, 3*h - 34 = -h + 5*s. Solve 5*o = -4 - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/11)*r)\/r)**(1\/18)\/(r**25*r)**(2\/65) assuming r is positive.\nAnswer: r**(-122\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.005 + 1520?\nAnswer: 1695.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((27\/(-48))\/3). Suppose -m - 3*k + 22 = -j*k, 5*m = 4*k + 26. Let v = -6 - -7. Sort v, 0.1, m in descending order.\nAnswer: m, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 44*w - 41. Let m be q(-21). Which is the nearest to 0.1? (a) m (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20385961\/786 - 77809\/3. Suppose -2 = 2*g - 10, 0 = -2*k + 4*g - 16. Is r at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1684 = 3*k, b - 359 + 27 = -k. Let w = 654 - b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281.887875967 - -704.\nAnswer: 422.112124033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 209519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 2*x**2 - 4*x + 3. Let a be p(2). Let q be 30\/(-10) - a\/(-5). Put -1, -0.4, q in descending order.\nAnswer: -0.4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 + 5*o**2 - 9*o + 11. Let a be (-1)\/2*(23 - 7). Let c(v) = 6*v**3 + 8*v**2 - 14*v + 16. Calculate a*b(r) + 5*c(r).\nAnswer: -2*r**3 + 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.3. Let o = d - -0.2. Sort 2\/3, o, 2\/9 in descending order.\nAnswer: 2\/3, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 - 11*p + 439. Let r(g) = -2*g - 16. Calculate r(o(b)).\nAnswer: 16*b**2 + 22*b - 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 50\/45*291)*(-9)\/6. What is the greatest common divisor of 64 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 1.2. Let j = d + 1.2. Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-234)\/(-182))\/(117\/273). Solve 1\/2*g**4 + 0 + 0*g - 1\/2*g**y - 1\/2*g**2 + 1\/2*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 14*v + 139090. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1*sqrt(171)*-2 - (sqrt(171) - sqrt(171)*-2)*1)\/(sqrt(54)\/(sqrt(6)*-1)*1) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 7. Give u(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:00 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68469618?\nAnswer: 2, 3, 7, 59, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -111, -249, -441?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.64 - -2.26. Let j = z + -11. Which is the second biggest value? (a) j (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = 5*k, -3*k - 8 = 4*t + 24. What is the nearest to -3 in t, -2\/5, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**2*q**3 + 3*k**2*q**2 - 5*k**2 - k*q**2 + 46*q**3 wrt q.\nAnswer: -18*k**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11020 divided by 2204\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 225\/16?\nAnswer: 225\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.523 + 0.023. What is g rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283 + 572 - 289 + 1763*v to the form j + m*v and give m.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 91*w. Let o be v(1). Let m(j) = 7*j + 13. Let c be (-12)\/18 - (-10)\/15. Let g be m(c). Calculate the highest common divisor of o and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 + 4*n - 1\/24*n**5 + 0*n**2 - 1\/4*n**4 + 1\/360*n**6 - 2\/3*n**3. Let y(k) be the second derivative of w(k). What is y(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (280\/(-45) - 4\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 216*s - 31*s + 23120 + 495*s + 5*s**2 = 0. What is s?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 16, 4, -14, -38?\n\"Answer: -3*h**2 + 3*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.465669 rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, 215 in descending order.\nAnswer: 215, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*f**2 + 53*f**2 - 40*f**2 to m*f**2 + z + q*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292 - 446. Let j be i\/(-63) - 4\/(-14). Solve -2*x + 2*q - j = 0, 10 = 3*q + 2*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-3*sqrt(54))*-2.\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73.8 - -75. Let x = b - -0.8. Suppose 15 = -6*n + 3*n. Sort -1\/4, n, x in ascending order.\nAnswer: n, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v - 3*m + 148, -5*v - m + 174 = 0. Let k be v\/66 + 2\/(-6). Put -5, 4, k in descending order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -3, 3, 0 in descending order.\nAnswer: 286, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 3*j - 3*d + 9, -5*j - 2*d = 300. Let x = j - -60. Suppose -16 + 3 = -2*p + o, p + 4*o = x. What is the least common multiple of 8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8608*v - 2960 = 8756*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 3. Let m be b(-3). Let j = 22113 + -14230. Suppose 4*f + 53883 - j = m. What is f rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 - 39*s - 29. Let f be j(-9). Suppose 0 = 8*d - 96*d + 440. Put 6, 0, d, f in decreasing order.\nAnswer: 6, d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 9*z - 9. Let m be c(7). Suppose -2*y + 37 + 5 = 0. Suppose -m*h + y = -4. Solve -2*g = -4*n - 2, -5*n - h*g - 23 = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3182 - 171929\/54. Calculate the common denominator of 33\/8 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.006, -1\/4, -1\/5?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12a65 (base 15) to base 14\nAnswer: -17a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 79*z + 950. Let y be i(-12). Let v(s) be the first derivative of s**3\/3 + s**2 - 3*s + 14. Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 43*i - 78. What is g(19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*7\/((-168)\/32). Solve 3*s - c = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + h. Let t(a) = -3*a + 31. Let l be t(10). Determine z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/10 + n**4\/4 - 4*n**3\/3 - 279*n**2. What is q(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78699303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/5 + 12*o**4\/5 - 87*o**3\/5 - 314*o**2\/5 + 936*o\/5 + 1152\/5 = 0.\nAnswer: -16, -4, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 + 147.12. Put 1\/2, 2, w, -2 in descending order.\nAnswer: 2, 1\/2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 1449. Let m = d + -35255\/27. Calculate the common denominator of -115\/12 and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -4. Let u(y) = 5*y**2 + 3*y - 3. Let d be u(g). What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -385, -386?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 15 = 2*v, -4*v + 7 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11208 - -1347. Round z to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132928.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22643, 45284, 67925, 90566, 113207, 135848?\n\"Answer: 22641*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 111011000101010100?\nAnswer: -111011000101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -32.32. Let q = h - -0.72. Let v = 0.7 - 0.3. What is the closest to q in v, -4, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16967906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*s = 132*s + 140*s - 120. What is the nearest to s in -4, -2\/19, 1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**2 - 12. Let p(h) = -h**2 + 1. Let b(s) = -a(s) - 12*p(s). Let x(k) = 30*k. Let c(u) = -u. Let d(m) = -2*c(m) - x(m). Give d(b(f)).\nAnswer: -112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1 + q + 0 + 6 + 4. Let z be w(-9). Suppose -4*c = -z*s + s - 86, -3*c - s + 61 = 0. Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*2\/108.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -11. Let t be 6\/16*7\/x. Which is the nearest to 0.1? (a) t (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.202 + 0.002. What is k rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (-1*sqrt(5700))\/(2*sqrt(147)).\nAnswer: -5*sqrt(19)\/7 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjxjjjq. What is prob of sequence qyj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 413, 929, 1651?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 1, -584, -0.3, -2\/15?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -p - 2*r + 1255, 2480 = 2*p + 4*r. What is the highest common factor of p and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let j(k) = 2121*k**2 + 471*k**2 - 258*k**2. What is v(j(p))?\nAnswer: -5447556*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z*(z**2\/z)\/z)\/z)))\/z*z**(-1\/3))\/(z**(-1)\/z**0) assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -5, 1, 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193219.4290046 + 309815.25842421. Let l = t + -116543.82942. Let j = -52 + l. What is j rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - (-14 - (-10 - (17 - 8)))) + -3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121020 + 1222?\nAnswer: -112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-2))\/(-3 - -2). Let k(a) be the second derivative of a**4\/6 - a**3\/6 + a**2 - 2*a. Is 13 a factor of k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v**2 - 7. Let c(b) = -3*b**2 - 2. Let s(z) = -7*c(z) + 2*p(z). Let l = -282 + 288. Let o(g) = l*g**2 - g**2 - 11*g**2 - 22*g**2. Give o(s(a)).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u - 12. Let n be u\/(-6 + 3)*2. Let l = -3 + n. Solve 1 = -4*g + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, -0.5, -0.2, -106, -1\/4, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11)**4*(r\/(r**(-1\/28)*r))**24 assuming r is positive.\nAnswer: r**(314\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 10*t - 12*t + 31.\nAnswer: -2*t + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148166 by 1815.\nAnswer: 148166\/1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(48) + -1 + (sqrt(48) + sqrt(4800)*-3 - sqrt(48))**2.\nAnswer: 4*sqrt(3) + 43198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(160) + sqrt(640)*2)\/(sqrt(35)\/((1*sqrt(28))\/sqrt(4))))**2*1.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -20213?\nAnswer: 20213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -14*i - 33. Let m = i + -8. Solve 0 = -2*a - m - 1, 12 = 4*q - 2*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5.2. Let r = f + -0.248. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -230. Suppose 2*w - j = 304. List the prime factors of w.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + 20. What is the remainder when t is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)*16\/(-96).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 619715 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 63.5. Let j = 21.5 + l. Let q = 8 - 8.024. Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 22*y - 25. Suppose -5*a = 3*l - 0*a - 22, 2*l - 2 = 3*a. Suppose 0 = -5*d - 20, -12 - 72 = l*r - d. Let n be q(r). Which is smaller: -23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1 (c) -0.02 (d) -5.6 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - x + 9 = 0, 127*u - 128*u + 9 = 2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 73*k + 4. Let q(d) = -36*d - 2. Give -2*l(t) - 5*q(t).\nAnswer: 34*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31422 is divided by 5235.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-474)\/50 - (-68 - -59))\/(2\/15). Sort 16, 4, z in ascending order.\nAnswer: z, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 469*z**2 - 558. Let h(l) = -4*l. What is h(i(s))?\nAnswer: -3752*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 134631.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 383702951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 392143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 679*n - 679*n - 2*n**2 - 28 + 6 in the form c + v*n**2 + o*n and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 23*f**2 - 27*f**2 + 2.\nAnswer: -20*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*i = -9, w - 5*i = 4*w - 17. Solve -3*h = 2*m + 2, 4*m + w = -0*h + 3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -2, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1*(-2 + 0). Let u(x) = -16*x**2 - 16*x - 6. Let l(f) = 3*f**2 + 3*f + 1. Let r(t) = -11*l(t) - 2*u(t). Calculate r(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 + 3*o**2 + 3*o - 3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 253 = -n - s, -53 = n - s. Let v(h) = -98*h. Let x be v(-1). Let t = x + n. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 579 = -x, -w + 2877 = -5*x. Let i = 1278 + x. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -419*b**7\/210 + 4*b**5\/3 - b**4\/3 + b**2 - 1351*b. What is the third derivative of w(m) wrt m?\nAnswer: -10056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135.99999933 - -136. What is b rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -42068.\nAnswer: -42068.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269308 is divided by 69.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let d be 1\/(10\/32) - (-1)\/(-5). Let k(n) be the third derivative of 0*n**4 + 1\/30*n**5 + 0*n + 0 + d*n**2 + 0*n**3. What is k(i(b))?\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 184, 275, 366, 457, 548?\n\"Answer: 91*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/11860)\/((-11)\/53150). Let d = h - -10\/593. What is the common denominator of d and -43\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - -1) + 3)*2108\/496. Is g smaller than 186\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 1318*u - 1337*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + m + 1 as i*m + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12)*d*d\/(d\/(d*d\/d**(1\/5))) assuming d is positive.\nAnswer: d**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-5)\/(-12)))\/((-300)\/200)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j\/((j**4\/j)\/j)*j)\/j)\/(j**(1\/7)\/j))\/(j**(-1\/4)*(j*j**(-1\/7))\/j*j))\/(((j\/j**(-3))\/j)\/(j**(-4)*j*j))**(-6\/29) assuming j is positive.\nAnswer: j**(265\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 - 1062 - 253 - 1228*l + 628*l**2 + 297 - 658 - 4*l**3 = 0. Calculate l.\nAnswer: -1, 3, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 14644 = -13*i. Find the third derivative of 22*v**6 - v**5 - 4*v**2 + 3661 - i - 2*v wrt v.\nAnswer: 2640*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3366 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 388*s**2 + 5411*s - 5419*s + 435*s**4 + 300*s**4 + 1666*s**3 = 0. Calculate s.\nAnswer: -2, -2\/7, 0, 2\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.9 + -22. Is g >= -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from qqhxhxnv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/6*((-207)\/(-396))\/23.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 89 + 3\/(-1) + 1. Suppose 4*z = z + v. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9045614267 to the power of 1\/2, to the nearest integer?\nAnswer: 95108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j*j**(-10)*j)\/((j*j**(7\/5)*j)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736444.8 decades to centuries.\nAnswer: 73644.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0 - 3 + 2*q**2 + 3*q**2 + 5*q. What is the units digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 4*i + 2*i)*(78*i**2 + 7*i**2 - 487*i**2).\nAnswer: -1206*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 138 = -3*i, -3*i - 58 - 77 = 3*h. Let y be i\/(-28) + 2\/7. Factor 2\/3 - 5\/3*r - 7\/3*r**y.\nAnswer: -(r + 1)*(7*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*g - n + 102, -5*g - 5*n = 190. Suppose -9*o + 74 = 407. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 14 = j. Suppose d + j - 5 = 0. Solve -d*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 0*5\/30 - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 2. Let g be t(4). Suppose -5*h - 5*a = -25, -g*h + 2*a + 0*a = 6. Is h*-179*(-7 + 6 - 0) 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 2267132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76\/3 + -523\/21. Which is the nearest to i? (a) -5 (b) -20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 304101, 608845, 913589?\n\"Answer: 304744*p - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 10*h**2 - h + 7. Let k(b) = 4*b**3 - 9*b**2 + 2*b - 7. Let v(p) = 3*f(p) + 4*k(p). Let x = -8 + 26. Let d = x + -13. Determine v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.73 - 1.6841. Round z to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**3 - 63*j**3 + 413*j**3.\nAnswer: 311*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**2 - 440*d + 162. Calculate m(-56).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n**4*n)*n)**(4\/19)*(n\/(n**(2\/5)*n)*n)**(-12\/13) assuming n is positive.\nAnswer: n**(-944\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5844 - 5866 = -2*z. What is the greatest common divisor of 979 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 10*x**5 + 166*x**4 + 822*x**3 + 1274*x**2 + 248*x - 360 = 0.\nAnswer: -9, -5, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**5\/5 - 9909*d**4\/5 - 3494037*d**3\/5 + 5273298*d**2\/5 + 701784*d = 0 for d.\nAnswer: -1140, -513, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-8)\/(-5)). Suppose 6 = 4*g - g - 2*a, -2*g = -4*a - 20. Sort g, 1\/6, z, -0.5 in ascending order.\nAnswer: g, -0.5, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + ca0ab8?\nAnswer: ca0ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 6. Suppose 5*n - 7 = 3. Suppose 4*r - 3*m - 2 = 0, -r + n*r + 2 = 2*m. Suppose r*t - 5*o - 32 = 0, 0 = 2*t - o - 7 - 9. Calculate u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 0 - 5)*(187 + 112 + 42).\nAnswer: -341*a - 1705","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 - 1745*f**3 + 8.\nAnswer: -1745*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 3) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/12 + x**3\/2 + 77*x**2. Give m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 5)*(1 - 1 - 1) + 3 - 2 + 0)*(y - 3*y + 5*y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12078724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -4.08. Let f = q + 1. Let x = 1385\/1203 + 73\/401. Which is the second smallest value? (a) f (b) x (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 8 = 4. Let w(l) = -18*l - 30. Let d be w(v). Suppose 5*o + 6 - 26 = 0. Solve -d = -o*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -398 or -384?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (26952\/(-36))\/(10\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37, -49, -59, -61, -49, -17, 41?\n\"Answer: p**3 - 5*p**2 - 4*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x**5 + 9*x**4 + 11*x**2 + 9. Let t(v) = 5*v**5 - 2*v**4 - 3*v**2 - 2. Let w(l) = -2*s(l) - 9*t(l). What is the third derivative of w(b) wrt b?\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/17 - 20504*k\/17 - 592934\/17.\nAnswer: -2*(k + 29)*(k + 10223)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12) + (-3)\/2. Let t = y + 6. Is (t\/12)\/(2\/2478) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 136, 92, -4, -170?\n\"Answer: -3*i**3 + i**2 + 8*i + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8668 rounded to 1 decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.09 + -25. Let x = 2.91 + m. Which is the second smallest value? (a) -0.4 (b) x (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174749*h - 22800889?\nAnswer: -174749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -3, -0.5, 2859565, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -396, -674, -1044, -1536, -2180?\n\"Answer: -5*u**3 - u**2 - 178*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502171751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*b**5 - 1577*b**3 + 82681*b wrt b?\nAnswer: -400*b**3 - 9462*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, k: 1, c: 7, r: 1, y: 2}. Give prob of picking 1 y, 1 c, and 2 p.\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - (1\/(-4))\/(19\/(-456)))\/1. Solve -10*i - 683 + 673 = f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjzzzjzzzjjzzzz. Give prob of picking 1 z and 2 j.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let l(b) = 6211*b**2. What is i(l(a))?\nAnswer: 12422*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 (base 8) in base 12?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*y**2 - 5 + 15 - 8 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54515 (base 7) to base 10.\nAnswer: -13634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 14. Suppose -w*u - 3*u + 80 = 0. Let q(n) = n**3 - 9*n**2 - 10*n + 8. What is the units digit of q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/136964 and 29\/9884?\nAnswer: 958748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 138278.8 rounded to the nearest 100?\nAnswer: 138300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:48 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 + 2*t - 4. Let f be i(-5). Suppose -3*r + 876 = r. Let c = r - 98. Calculate the highest common factor of f and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8333 + 4?\nAnswer: 8337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.05 + -0.05. Let w = l + -2. Let h = -6 + 6.1. Which is the closest to 1? (a) w (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/(171\/27)*(-2)\/(-27). What is the fourth biggest value in -3, -5, -64, t?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-930)\/124 + 7 + 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2917166*b**2 - 226 - 40*b**3 + 2917166*b**2.\nAnswer: -40*b**3 - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15765352?\nAnswer: 2, 83, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6217\/45 - -643\/5. Let t = -466\/45 - d. Which is the third smallest value? (a) -3 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - 93)\/((-4)\/1 + 4 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-27)*w)\/w)\/w)\/(w*w\/((w\/w**(-10\/7))\/w)) assuming w is positive.\nAnswer: w**(-186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49788.1 less than -63?\nAnswer: -49851.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/4*f - 2*f**3 - 1\/2 + 3\/4*f**2 - f**4 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 8. Suppose 2*f + 6 = 4*f. Let x = 11 - 19. Let k(j) = 5 - 2 + 5 - 5 - j**2. Determine f*h(t) + x*k(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -5*g + 3*g, 4*m + 12 = 0. Let n be (-2 - 7)*g + 0. Let q be n\/4 - (-4)\/(-16). Solve 3*d + q + 13 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6093, -12286, -18555, -24900, -31321, -37818?\nAnswer: -44391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5571719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 212312*v\/5 - 11269096336\/5.\nAnswer: -(v + 106156)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1291650397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-60)\/8) + (-16)\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0*z**3 - 5*z**3)*(-z**2 + 7*z**2 + z - 5*z**2 + 2).\nAnswer: -3*z**5 - 3*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/3))**(-3\/10))**(-8)*(((v\/(v\/(v*v\/(v**(-1\/3)\/v*v))*v))\/v)\/(v**3*v))\/(v*v\/(v**(-2\/13)\/v)*v*v**(1\/5)) assuming v is positive.\nAnswer: v**(-1408\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Let m be (-1)\/s - 6\/(-8). Suppose 1 = k - 0*k. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*u + 2. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669969196 divided by -167492299.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41487021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 89 + ((-6)\/(-8))\/((-2)\/8). Suppose -m + 21 = -13*s. Let d = 76 - 1138\/15. Which is the second smallest value? (a) -4 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 550 and 7150000?\nAnswer: 7150000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -358744576 divided by -8\nAnswer: 44843072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 1028.\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25124620, -100498471, -226121556, -401993875, -628115428, -904486215, -1231106236?\n\"Answer: -25124617*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 9*t + 62*t**4 + 2*t**2 + 2 + t**3 - 4*t**2 + 51*t**4 to f*t**3 + n*t**4 + o + a*t**2 + h*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 3. Solve 2*c = -a*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3301.1 - 3301. Which is the second biggest value? (a) -2 (b) -0.066 (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 - 6580*d + 5756256 = 0.\nAnswer: -2277, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from yyuuyuyyyu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*12\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 115 = 15*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1319182669 + 1657381554.2. Let p = -338198961.19999876 + z. Let o = p - -76. Round o to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12242357 - -17332357. What is z rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155566339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + (1*sqrt(68))**2 - (sqrt(68) + (sqrt(68) + 5)*3)**2) + 5)*5.\nAnswer: -37050 - 7200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -503 + -3114. Let i = p + 54236\/15. Find the common denominator of 65\/6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139.3239 + -7.0401. Round u to the nearest integer.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b. Let z(k) be the third derivative of -k**6\/60 - k**5\/30 - k**4\/6 + 2*k**2. Let c be (8\/(-12))\/(382\/(-573)). Determine c*z(f) + 4*l(f).\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 6, 0.5, 1\/4, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 + 15*l + 7. Calculate c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-2 - -1) + (4135 - 4151).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0779008 and -41.435?\nAnswer: 41.5129008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/22 and -29\/8360?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*r + 164*r + 8 = 0. Sort -3, 18, r in descending order.\nAnswer: 18, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/11440*-26)\/(123\/(-60))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5034 divided by -3.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1088\/(-48) + 21)\/(10\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350030 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2872060512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -367\nAnswer: 1\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22263, 22289, 22353, 22473, 22667, 22953?\nAnswer: 23349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619983, 2479986, 5580005, 9920052, 15500139, 22320278, 30380481?\nAnswer: 39680760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -8, -31, -64, -107, -160, -223?\n\"Answer: -5*i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17254 or -17231?\nAnswer: -17254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 329339 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102101 (base 3) in base 14?\nAnswer: 17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(40)\/sqrt(288).\nAnswer: -2 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.74 + -3.7400612. Round f to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -122*n + 3728. Let w be t(30). Solve 5*x + w = -3*o + 75, -19 = -5*o - x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-3 - -7) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 - 2*v**2 - 4*v + 4. Let a(b) = -4*b**3 - 2*b**2 - 4*b + 5. Let c(h) = 4*a(h) - 5*r(h). What is the units digit of c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 17*h - 26. Let d be t(15). Suppose -5*l - 2364 = -j, 9380 = -0*j + d*j - l. Suppose 0*w - 4*w = -j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (834\/(-556))\/((-21)\/(-70))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 273. Which is the third biggest value? (a) l (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -9. Let r(b) = b - 1. Let d be r(-1). Is d\/(-11) - (-192)\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*s**2 - 14*s + 21*s - 15*s.\nAnswer: 237*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1677963562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345*r**3*t**2 + 699*r**3 - 16*r*t**4 - 15*r + 3*t with respect to t.\nAnswer: 690*r**3*t - 64*r*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -5*y**4\/12 - 95*y**3\/3 + 195*y**2\/2 - 264*y. Let p(u) = 0. What is u?\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 25*f + 30*f + 92 = 0, -24 = -3*f. Calculate the remainder when 159 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43830 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*b + 1 - 70*b - 1 + 14*b - 35*b**2 wrt b.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t + 4. Let f be x(-5). Suppose -f*n + 10 = -6. Suppose -n*k - 5*w + 3 = -3*k, -3*k + 81 = -3*w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 26*a + 49. Let t be k(2). Let d(r) = 3*r**2 - 4*r**2 + 3*r + r**3 - 4*r**2 - 4. Calculate the remainder when d(t) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 11*p + 4*k = 31*p - 6, -6*p = 4*k - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3584034*z + 2077988 wrt z?\nAnswer: 3584034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2553178783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8403468 months in years?\nAnswer: 0.0700289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6397 meters in centimeters?\nAnswer: 3763.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yyyyyfyyfyfy.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*a**2 - 2 - 3 + 5*a**2 as w*a + s*a**2 + q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -0.6, -170 in decreasing order.\nAnswer: -0.6, -3, -14, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84347*i**2 + 48*i + 84347*i**2 + 5*i**3.\nAnswer: 5*i**3 + 48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33957751?\nAnswer: 109, 311539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1752 + 567. Let n = -755 - y. What are the prime factors of n?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - x, -2*a - 14 = -x - 3*x. Let d be (3\/a - 3\/(-6))*2. What is the tens digit of 3 + ((-38)\/d - (-9)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27015 - 4?\nAnswer: 27011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, -1, -4 in descending order.\nAnswer: 36, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4)\/(-295)) + (-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*u - 7632 = 18781, -10*u - 79175 = -3*y. List the prime factors of y.\nAnswer: 5, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193 + -103 - 104 - (-97 + 1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*y**4 + 598*y**2 - 7*y + 3331.\nAnswer: -1476*y**2 + 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -3464.4.\nAnswer: -69.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -146.94.\nAnswer: 73.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4 - p**2 + 5 + 2*p**2. Let i(r) = -r**2 - 2*r - 1. Let h(v) = -v**3 - 6*v**2 - v - 8. Let d be h(-6). Let a(f) = d*i(f) - 4*k(f). Factor a(z).\nAnswer: -2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*b**4 + 630790*b**2 + 68175954*b.\nAnswer: -564*b**2 + 1261580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 19*s**2 - 14*s - 95. Calculate the remainder when d(-9) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/7 - 2350*d\/7 + 103868\/7 = 0. Calculate d.\nAnswer: 46, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -995250 to the nearest ten thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2677 - -1852. Let y(c) = -26*c + 22. Let d be y(10). Let u = d - a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.23 and -617.\nAnswer: -5077.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and 824.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.037 in -4\/3, 46, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 34*z = -4300. Let s = -627 - -347. Let o = z - s. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.045 (b) 2\/7 (c) 32 (d) -3 (e) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.4 (b) 596 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, x: 2, h: 3}. Give prob of sequence rhh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -31*i + 1. What are the prime factors of k(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -598005, -598006, -598007, -598008?\n\"Answer: -u - 598004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7149 - 144\/(12 + -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6))\/(5\/(-15)). Suppose -4*h + 18 + 3 = -w*s, -5*h + 19 = s. Factor -6*r**3 + 3*r**3 - 14*r + 16*r**2 - 3*r**3 + h.\nAnswer: -2*(r - 1)**2*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3029a57 + -8a?\nAnswer: -302a036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -882\/19 + 14435\/304. Find the common denominator of u and (54\/(-2436))\/((-2)\/3).\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 3*u**2 + 8*u - 2. Let i(w) be the third derivative of 11*w**4\/24 + 2*w**3\/3 - 19*w**2. Let y be i(0). What is the units digit of g(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 18*q**5\/11 + 2074*q**4\/11 - 148*q**3 - 464*q**2\/11 = 0.\nAnswer: -116, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*k*t + 546746*k - 1690193*t - 1 wrt k?\nAnswer: 13*t + 546746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*i - 35 = 43, -58 = -3*j - i. Let n(o) = -2*o**3 - 3 + 27 - j*o + 3*o**3 + 16*o**2. Is n(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 15 = -n. Suppose 3*g - 982 = -g - 2*z, n*g = -4*z + 1229. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297614 is divided by 418?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141.7 - 142. What is the nearest to -3\/7 in 2\/5, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573 divided by -3240\nAnswer: 191\/1080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 2, 1, 6, -2, -4 in descending order.\nAnswer: 11, 6, 2, 1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10591648 and 53648.\nAnswer: 74141536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -656, -1336, -2016?\n\"Answer: -680*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -39*w**3 - 2*w**2 - 2*w - 1. Let s = 15 + -16. Is i(s) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0*p)**11*p\/(p*((((p\/((p\/p**(4\/3))\/p)*p)\/p)\/p)\/p)\/p)*(p**5*p*p)\/p assuming p is positive.\nAnswer: p**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -261584, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9592 and 38368.\nAnswer: 38368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 195252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2\/5)*v)\/v)\/v)**(2\/151)\/(v**2*v)**(2\/39))\/((v**(3\/7))**(1\/5))**(-5\/8) assuming v is positive.\nAnswer: v**(-65307\/549640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -640*u - 932*u - 24*u - 955*u in the form v*u + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2*h**5\/5 - 8*h**4 - 438. Factor y(q).\nAnswer: -2*q**3*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4707 = -8*g + 17*g. Let o = 873 + g. What is o rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f**2 - 13*f + 1844 wrt f?\nAnswer: -12*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18795 + 18794.5. Let z = 9 + -9.7. Which is the third biggest value? (a) -0.3 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:28 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2699935l to millilitres.\nAnswer: 269.9935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/25 and -23\/3075.\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*a + 4, -10*a + 14*a = 8. Let h be (-38)\/(-7) + (-21)\/49. Solve k*v = 5*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/13))**34)**(-30\/7)*(k\/k**(1\/2))\/(k*k*k\/(k*k\/(k\/(k*k*(k*k**2*k)\/k*k*k)))*k)*(k**(-2\/3))**(-15) assuming k is positive.\nAnswer: k**(-27961\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w, -21*w - 2884 = 3*m - 19*w. Is (m - -5)*(-5)\/(-15)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 - 14*g - 1. Let u(n) = 15*n**2 + 27*n - 15. Calculate 2*h(i) + u(i).\nAnswer: i**2 - i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3837 or 7156?\nAnswer: -3837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 278 + 160. Suppose 2*r = -4*t - t + 206, 0 = -4*r + 3*t + w. Suppose -4*n - r = -7*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 4*t**2 - 14*t + 12. Let l(o) = 5*o**3 - 12*o**2 + 43*o - 36. Let n(k) = -17*g(k) - 6*l(k). Factor n(c).\nAnswer: 4*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/4433716 or -1?\nAnswer: -13\/4433716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*s - 23 - 16, -237 = -5*k - 4*s. What is the remainder when 89 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) 0.0507 (c) -323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50*-0.57\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-269958\nAnswer: -161974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (2 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/645 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -64. Let r = z - -4. What is the second derivative of o + 14*o**4 + o + 20*o - r*o wrt o?\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13180*g - 27796*g - 21266*g.\nAnswer: -62242*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2 and 67\/333598.\nAnswer: 333598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0.9, 0.33 in increasing order.\nAnswer: -33, 0.33, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by 27\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2\/23, -0.4, 3\/44, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 92*l - 4217. Determine v(46).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v + 0*v**3 + 0 + 0*v**6 - 1\/60*v**5 + 11\/210*v**7 - 10*v**2 + 0*v**4. Find the third derivative of y(a) wrt a.\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9398*j**5 - j**4 + j**3 + 6265*j**2 + 2*j - 2.\nAnswer: 563880*j**2 - 24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 180808 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 9. Let a be 9*4\/36*3. Suppose 5*o = 0, 0*i + 18 = -a*i - 5*o. Give t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(21\/103) - (-16)\/56. What is the greatest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v. Let j(f) = -394 + 1181 - 393 + 32*f - 399. Determine j(c(z)).\nAnswer: -128*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/209*(-3 - -2*1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -2, 34, 106, 226?\n\"Answer: 2*s**3 - 2*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t**2 + 3563*t - 3563*t + 130*t**2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpm when four letters picked without replacement from {f: 2, m: 2, p: 8, s: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402 - 401.89. Let x = 8696\/7 + -1242. Which is the smallest value? (a) 3 (b) -3 (c) r (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 219 and 4840338?\nAnswer: 4840338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3304*n - 2960 = -3378*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5341309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 14*h + 7. Let b be v(-13). Let m = b + 11. Find the third derivative of -12*j**2 + 31*j**3 + 10*j**m - 31*j**3 wrt j.\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*c - 9*c - 12*c)*(7 - 6 + 13*c**3 - 8*c**3) as y*c**3 + m + f*c + h*c**4 + v*c**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1185305 and -1185283 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/12)\/s**5 assuming s is positive.\nAnswer: s**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 - -380.5. What is the nearest to 7 in -2\/17, 0, t, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3669 is divided by 377?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 15. Let v = -0.08 + 5.08. Let r be -2*(8\/(-5) + 2). Put b, v, r in decreasing order.\nAnswer: v, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, 38, 121, 214, 317, 430?\n\"Answer: 5*r**2 + 58*r - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4924 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -95*r + 1. Let l be p(-2). Let z = l - 191. Factor -2\/3*u**2 + 0*u + z.\nAnswer: -2*u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggk when three letters picked without replacement from bfpgk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Let p be 1\/(4\/14)*u. Factor -p*x**4 + 3*x**3 + x**4 - x**5 + 4*x**5.\nAnswer: 3*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 220. Let y = r + 221. Suppose -4*a - 42 = -7*a. Is a greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*o**3 - 1097807*m*o**2 - 11*m*o*r + 43459*o**3*r wrt r?\nAnswer: -11*m*o + 43459*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 433 = 4*r - r, 2*l = 3*r - 437. Let g be 46\/35 - (-7)\/r*6. Factor 0*k + 4\/5*k**2 - g*k**3 + 0 + 4\/5*k**4.\nAnswer: 4*k**2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20263.966148 - -20264. Round n to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4.1. Let k = 0.4 - p. Let y = -3.2 - -5.2. Sort k, 4, y in decreasing order.\nAnswer: 4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 0*j**2 - 3*j**2. Let b(o) = -13*o + 7. Let d(p) = -3*p - p + 0 - 2 + 4. Let m(h) = -2*b(h) + 7*d(h). Give m(u(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.46 - 1.46. Is 1\/6 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10 - (79 + -66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40621972871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2335 and -87946780945?\nAnswer: 87946778610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24689635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 12. Let w = -15\/4 - g. What is the third smallest value in 0.02, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.34165 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 469.9 and -62.2.\nAnswer: -29227.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964351 <= 2964351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 24*x - 48. Calculate t(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 12415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -23) + 98 + (-4 - 1 - -4)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20, 2*r = -4*w + 89 + 25. What is the third derivative of o**4 + 73*o**3 + 0*o**4 - 49*o**2 + r*o**2 + 123*o**2 wrt o?\nAnswer: 24*o + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/6*a**4 + 0 - 3*a + 2\/3*a**3 + a**2. Determine h so that f(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 69*l**3 - 3*l**2 + 4*l - 5. Let z(v) = -67*v**3 + 3*v**2 - 5*v + 6. Determine -6*n(c) - 5*z(c).\nAnswer: -79*c**3 + 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*h + 48. Let r be h*(5\/(-15) - 44\/(-6)). Let m(v) = 11*v**2 + 4*v + 30. Is m(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 less than -0.5?\nAnswer: 541.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1, n: 4, c: 3}. Give prob of sequence gg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*a = 42, -3*d - 747*a + 760*a + 17 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:25 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 29. Suppose 0 = -5*u + 34 - j. Solve -u + 0 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3155497*a**2 - 3155460*a**2 - 3155484*a**2 + 9466456*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 22 + 22 + r**2. Let s(f) = -2*f. Determine s(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 11. Is (-28)\/(-1)*39\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0713 times 3.234?\nAnswer: -0.2305842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q**2. Let f(j) = 3*j. Let v(m) = 40*m - 21*m - 26*m. Let t(w) = 11*f(w) + 4*v(w). Determine t(g(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 7}. What is prob of picking 1 q and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 572237 (base 8) in base 9?\nAnswer: 324626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 64. Let w = 27 + -56. Let i = t - w. Solve 3 + 9 = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/84*-4)\/((-13)\/(-117)). Suppose 8*z = 3*z + u + 45, -5*z - 2*u + 45 = 0. Solve z*d - c = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 7:54 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1044811*p**5 - 2*p**3 - 170*p**2 - p - 19052.\nAnswer: -62688660*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/6 + 2*c. Suppose 5*m - 10 = -0*m. Let g(p) = 4*p**2 - m*p**2 + 0*p**2. Calculate g(h(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143641009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520625 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**5\/10 + 879*x**4\/32 - 1193*x**3\/8 + 519*x**2\/2 - 207*x\/2 - 180. Let l(n) = 0. Calculate n.\nAnswer: 1\/4, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:29 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**4 + 6*x**2 + 0*x + 0*x**3 + 1\/60*x**6 + 1\/12*x**5 + 0. Find the third derivative of k(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1453*r + 18. Let o(h) = 350175*h - 4347. Calculate -2*o(w) - 483*s(w).\nAnswer: 1449*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -0.8 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 339 = -40*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -3*b**7\/14 - b**6\/10 + 9*b**5\/20 + b**4\/4 - 22*b. Solve u(g) = 0 for g.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbz when four letters picked without replacement from obpobbzpcbzz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmadmatlv. Give prob of sequence vml.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -6, -11, -18, -27, -38, -51?\n\"Answer: -q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (358 - 394) + 57 + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 4*p + 3*p)*(-15 - 33*p + 15).\nAnswer: 165*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -110.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45963454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001771 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 4 = -37. Suppose 76 = q*v + 4*t, -v + 14 = -t - 9. Solve -2*b = -4*m - v, -4*m + 1 - 21 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7896 + -7894. Calculate the remainder when 535 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12*6 - -33. Let v = 3072 + w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**4 + 2 + 2*d - 3 - 10*d**4 to n*d**3 + o*d**4 + c + m*d**2 + w*d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*((f**(1\/10)\/f)\/f)\/f)*f**(-1)*f*f)**(2\/23) assuming f is positive.\nAnswer: f**(39\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 17*h**2 + 43*h - 43. Find the first derivative of o(c) wrt c.\nAnswer: 2*c + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**2 - 6*i - 15. Let j(y) = 15*y**2 + 11*y + 30. Give 6*j(r) + 11*k(r).\nAnswer: 2*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 12, i: 1, f: 3}. What is prob of sequence iecc?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 22 = -3*p + p, -p - 4*l = -7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 0 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 <= 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)*j**(-15))**(2\/13) assuming j is positive.\nAnswer: j**(-158\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1705, -6498, -14383, -25360, -39429?\n\"Answer: -1546*g**2 - 155*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 9, 12, -2\/17, -2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbgdbgbbgbbgbbbdgww. Give prob of sequence wbg.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 958, 316, -328, -974?\n\"Answer: -m**2 - 639*m + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22220560 to the nearest one hundred thousand.\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5429*q**2. Let y(p) = -330*p. Calculate y(d(r)).\nAnswer: -1791570*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453856015 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c - 98. Let l = -88 + 109. List the prime factors of m(l).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68267, 8, 169.\nAnswer: 8, 169, 68267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose h - 2 + 4 = 0. Let x be (h + 1)\/(33\/(-6)). What is the closest to -0.1 in u, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25450 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24940.7 rounded to the nearest one hundred?\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 2*z**2 + z - 10*z**3 - 6*z**3 + 13*z**3 to the form u + l*z + b*z**2 + f*z**4 + q*z**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 90 + -183 + 25?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-158)\/(-22) - (-310)\/(-2046)*216\/(-180)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c + 27*c - 8*c**4 + 2*c wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/36)\/((-161)\/(-69)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 597757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132857360 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000646386 rounded to 5 decimal places?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346*u**2 + 1328*u**2 + 1401*u**2 + 1313*u**2 - 6885*u**2 + 1329*u**2.\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from {h: 1, f: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {m: 5, x: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f - 1. Let b(p) = -p**3 - 3*p**2 - 3*p - 1. Determine -b(l) - k(l).\nAnswer: 2*l**3 + 3*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -3\/4, -0.2, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255447 is divided by 313659?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 8*v**2 + 5*v**2 - 14*v**2. Let l(b) = 6*b**2. Give -3*l(z) + 5*w(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-14)\/(-8) + 143*(-63)\/(-308). Which is smaller: 303\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**3 - 9*y**2 + 7*y - 10. Let b(o) = 2*o - 10. Let k be b(8). Let z be g(k). Round z to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d\/((d\/(d\/(d*d*d**(-11))))\/d))\/d)*d)\/((d*d*d**(-1\/3)*d*d)\/d)*(d\/d**(-2\/113))\/d**(-9) assuming d is positive.\nAnswer: d**(-559\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 303*l**3 - 9765*l**2 + 84525*l + 514500.\nAnswer: -3*(l - 35)**3*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5731533 tonnes?\nAnswer: 573153300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 4 = 4. Factor 3\/4*w**2 + 3\/2*w + h.\nAnswer: 3*w*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 + 168995*i**2 + 9475480*i + 132711600 = 0.\nAnswer: -28, 33855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 45*x + 745. Let v(w) = -9*w - 156. What is -3*p(h) - 14*v(h)?\nAnswer: -9*h - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 - 2*m**3 - 4*m**2 + 10*m**3 - 3 + 7*m. List the prime factors of s(3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*-3*-2. Let q be (-747)\/(-332) - 2\/8. Suppose -4*u = q*a - 458, 3*u + 2*a - p*a = 347. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 + 14?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - a + 1. Let r(c) = 51*c**2 + 125*c + 3. Let i(l) = 3*m(l) - r(l). Find the second derivative of i(z) wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 0*p**4 - p**4 + (-3*p + 0*p + p)*(6*p**3 - 2*p**3 - 3*p**3) - 21*p**4 + 19*p**4 + 8 - 3.\nAnswer: -5*p**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -25. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39190224 is divided by 13063402?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76841 or 76861?\nAnswer: 76841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -16. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -3*q**3\/2 + 3*q**2 + 6*q - 6. Let m(j) = 19*j - 13. Determine -4*m(f) - 9*t(f).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from wwwnnnwlwnoovonoowno?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 l when four letters picked without replacement from {h: 3, l: 1, r: 2, c: 1, t: 8, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3961, -3\/7, -2\/19, -268 in increasing order.\nAnswer: -268, -3\/7, -0.3961, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150*b**2*k + 7*b**2 + 1702*b - 802*k + 1 wrt k.\nAnswer: -150*b**2 - 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 21*w**2 - 41*w + 47. What are the prime factors of p(17)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 1518648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*u + 3170 = -b, 2*u = -5*b - 5258. Let m = 15 - 9. Let i be (m\/(-1))\/((-9)\/b). What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f**3 + 28*f**3 + 10*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14578598 divided by -139\nAnswer: -104882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8858 is divided by 8067?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 3}. What is prob of sequence qqw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*j - 7*j + 37*j**4 - 52*j**4 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157679 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-11512)\/(-528) - 7). Let i = x - 37\/11. What is the common denominator of (222\/(-1 - 1))\/22 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 277264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54194582*n**2*x**2 - 33332882*x**2 with respect to n.\nAnswer: -108389164*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895 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 553 minutes before 2:42 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 836+2.91\nAnswer: 838.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/5 + 2123*m\/5 + 850 = 0.\nAnswer: -2, 2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7577099275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 12. Let j be q(-9). Calculate the lowest common multiple of j\/15 - (-2)\/10 and 1\/(-5) + (-182)\/(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2059 + -1108. Let q(f) = -f**2 - 5*f + 4. Let h be q(-6). What is the units digit of i\/27 - h\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-27) - (-2)\/9. Suppose o + 1 = -0*o, 10 = g*b + 2*o. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -8 - 2\/3*x**3 + 0*x + 0*x**2. Let p(f) = -f**2. Calculate p(t(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {s: 1, w: 1, m: 3, k: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*r = -5801, -5357 - 4286 = -5*l - 2*r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1616 and 276538.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -2a728?\nAnswer: 2a701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 43. Is f != -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*o + 15 + 3, -2*x - 5*o = 4. Solve -4*f + j + 8 = 0, -1 + 14 = x*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*((-18)\/4 - -6). Suppose -n*l - 3176 = -7*l. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 - a - 9. Let j be v(-7). Let i(x) = -152 + 161 - 8 + x**3 - 2*x + 3*x**2. What is i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11692 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*i - 40 = -i, 0 = -2*o + 2*i + 28. Let p = 23 - 20. Suppose -p*z + 10 + 5 = 0. What is the remainder when o is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17641 by 23.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 57*c**2 - 74*c - 146. What is the thousands digit of a(54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 43*a + 7. What is the remainder when 195 is divided by c(1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 220\/33*6\/4. Is 61 a factor of ((-3)\/3)\/(y\/(-1830))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 <= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 1:06 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let u be m\/3 - 8\/15. What is the closest to -1 in -1, u, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 6, a: 3, w: 3, m: 3}. What is prob of sequence wn?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (303\/(-112918)*43)\/((-30)\/(-8))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-2)\/(-3)*24\/16). Suppose u*z + 2 - 14 = 0, -d - 5*z = -19. Is 37 a factor of -3 + 0 - d - (-225 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11 = -3*v, 0*v = -3*y - 2*v - 7. Suppose -w + y = -8. Let o(x) = x**2 - 7*x - 8. Is 5 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379803.8 millilitres in litres?\nAnswer: 379.8038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o - 5*o)*(-2 + 0 + 3)*(-33 + 6 - 115)*(-8*o**3 + 25*o**2 - 25*o**2).\nAnswer: -1136*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppiiiplzlpzppzpp. What is prob of sequence lip?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 65 (c) -4 (d) -9 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + b = -753, 5*u - 3557 - 204 = b. Suppose -3*w - u = -7*w. Suppose -19*a + 762 = -w. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*k - 4098 = 0, -5*n - 2*k = n - 12302. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*a = -6*g - 1, g - 4316*a + 4308*a + 29 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 7*i**2\/2 - 1294891*i\/4 + 69369 = 0.\nAnswer: 3\/14, 92492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27226 is divided by 856.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27673?\nAnswer: 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3594823\nAnswer: -359482.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*u + 0*u - 28 = 0, -4*k - 2*u - 28 = 0. Suppose -i - 92 = -5*i. Let d = i + k. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(5 + -3 + (-6)\/8). Solve -4 = j*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 99378708*h + 823010633645772.\nAnswer: 3*(h - 16563118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b = 94*b + 360 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 4346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12.508 (b) -0.6 (c) -1\/6 (d) -3\/4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45585, -91383, -137003, -182355, -227349, -271895?\n\"Answer: 15*a**3 - a**2 - 45900*a + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 - 3*t + 11. What is the units digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/52 + (-1 - (-560)\/585).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/24546817 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 784309?\nAnswer: 784309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 0.3.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:29 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s - 40407 + 121334 - 40466 - 40461.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010011101 (base 2) to base 15.\nAnswer: -77d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741769?\nAnswer: 7, 105967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1649111333\/18 + 91647233. Let n = -29945 + s. What is the common denominator of n and 95\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 69, 106, 143?\n\"Answer: 37*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9524 divided by -4\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 10*l - 182. Calculate the least common multiple of l and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 601534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 467*r + 44253. Calculate a(335).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0324 + 0.0519. Let z = x + -0.0775. Sort -0.2, 0.5, z, 4\/3 in ascending order.\nAnswer: -0.2, z, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*b**3 - 527055 + 527055.\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:41 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let z(k) = 17*k**2 + k. Let t be z(1). Suppose u*w = t - 3. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - 7*x + 2. Suppose 3*h + 2*h = -q - 64, 31 = -2*h + 5*q. Let f = h + 6. Let w be o(f). Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -42. Let p(l) = -3*l - 15. Let o be p(-9). Suppose -365 = -o*w + 7*w. What is the remainder when w is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1537 - -2?\nAnswer: -1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/17))\/(i\/(i*i**21))*(i*i\/(i**(3\/23)\/i*i))\/(i\/(i*i**21)))**(-2\/105) assuming i is positive.\nAnswer: i**(-35272\/41055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9 + 5*f - 3*f)*(1682*f - f**2 + 7 - 1682*f).\nAnswer: -2*f**3 + f**2 + 14*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o = 79*o + 4*u - 59, -2*o = 4*u - 62 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 - 7773*o**4 - 6718458*o**3 - 1941620550*o**2 - 3863116803*o - 1928206941.\nAnswer: -3*(o + 1)**2*(o + 863)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -1\/18*l**6 - 2\/9*l**3 - 6*l + 0*l**2 - 17\/60*l**5 - 4\/9*l**4 + 0. Determine o, given that d(o) = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(1\/8)*y))**(-36)*(y**(2\/7))**(1\/57) assuming y is positive.\nAnswer: y**(32323\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 + 257.2. What is the nearest to 18 in 1, 3\/7, -4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + s)*(0*s**3 + 0*s**3 - 2*s**4 - 1 + 1 - s**4 + (-s - s + 3*s)*(-s**3 - 3*s**3 + 3*s**3)) + 846*s**5 + 4182*s**5 - 2005*s**5.\nAnswer: 3019*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from {o: 5, p: 2, n: 3, x: 10}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.209 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.4 - 42. Let k = 10.400069 - f. Round k to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13578*a**2 - 126?\nAnswer: 27156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3153*o**4 + 821*o**3 + 42649434 wrt o.\nAnswer: 12612*o**3 + 2463*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760805 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 135 = 39. Let v be b\/21 + 2\/(-7). Suppose -v = -2*n + 30. Solve -4 = 5*j + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (32 - (-1 - (29 + -65)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003478088 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/277 greater than -1731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153\/2 - -515\/6. Let y = -5 + m. Calculate the common denominator of -38\/5 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l - 70*l = -3*h - 1, -5*l - 4*h - 90 = 0. Put -66, l, -5, 5 in descending order.\nAnswer: 5, -5, l, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.021 (b) 4 (c) -3 (d) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1127223 or -1127395?\nAnswer: -1127223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 4 (b) -1516 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05952892432913 - 0.3\nAnswer: -0.35952892432913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1467587*a**3 - 785283 with respect to a.\nAnswer: -4402761*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f**3 - f**2 + 2*f + 2. Let x(q) = -72*q**3 + 3*q**2 - 6*q - 6. Let n(a) = -11*j(a) - 4*x(a). Let z be n(-1). Is 8 a factor of -4 + 3 - (z - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131550 is divided by 2307?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Let h be r(0). Let p(i) = -7*i**3 + 4*i**2 + 3*i. Let u(f) = -3*f**3 + 2*f**2 + 2*f. Let g(s) = 2*p(s) - 5*u(s). Give g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -840.2 * -12\nAnswer: 10082.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 70?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2746.8 + -3040. Let t = 277.701 - 6.701. Let n = t + z. What is n rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(216) - sqrt(24))\/sqrt(12) - sqrt(2)) + 3.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -5810.\nAnswer: -1\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)\/(-2)*0. Solve -i - 2*i + 15 = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n**2 + 10*n - 1. Let y be z(2). Let x(j) = -27*j - 151. What is the hundreds digit of x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 12) to base 15\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -24460 at least -24458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 13 = 2*n + 3*h, 2*n - 3*h + 34 = 0. Let z = -44 - n. Let w = z + 29. Solve w*j + 4 = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 37*a**2 - 339*a + 22. Calculate f(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2717 and 3575.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -415\/4. What is the second biggest value in o, 0.5, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91, 80, 55, 10, -61, -164?\n\"Answer: -n**3 - n**2 - n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*m + 382, -13*m + 2*u - 955 = -18*m. Suppose 4*i = m - 63. What is the remainder when 191 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13384?\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from {c: 3, a: 1, e: 6, h: 1, n: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t - t)*(-191182 - 23*t**2 + 2*t**3 - 13*t**2 + 191174).\nAnswer: -2*t**4 + 36*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**12))\/n**(-7))**(-21)*(n**(1\/3)*n*n**(-5))\/(n\/n**(2\/3)*n*(n\/(n**(-1)*n))\/n) assuming n is positive.\nAnswer: n**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-68)\/34)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, p: 2, f: 1, g: 2}. What is prob of sequence pg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072145100 rounded to the nearest one million?\nAnswer: 3072000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*a - 227, -3*a + 8 = 20. Calculate the common denominator of 187\/30 and (t\/(-46))\/((-14)\/(-48)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 + -220082\nAnswer: -220084.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 47 = 5*v, -5*v + i + 35 = -24. Let b(q) = 7*q - 27. Let u be b(4). Calculate the highest common divisor of v and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -236. Suppose -f*c - 32 + 37 = 0. Solve -3*o - 13 = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139040 and 1580?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2146046 - -1?\nAnswer: 2146050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271912 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 293979204, 293979203, 293979202, 293979201, 293979200, 293979199?\n\"Answer: -k + 293979205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - 0.54. Let q = f - -0.25. Let h(s) = -2*s**3 - 31*s**2 - 15*s - 5. Let i be h(-15). What is the fourth smallest value in -2\/3, i, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351446 (base 13) to base 5\nAnswer: -310301430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79587 is divided by 214?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 5*v + 6. Let r be w(-6). Suppose -12 = 3*s - r. Let l = -694 - -693.6. What is the nearest to l in -2, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p + 2*p. Let b(o) = 5*o + 5 + p - 6*o. List the prime factors of b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.123 - -0.1291. Round a to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1701 and 8\/65583.\nAnswer: 590247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/1085267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/5 + 67\/30. Let w be (-1)\/3 - (575\/1155 - (-8)\/(-28)). What is the biggest value in a, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10022143 (base 5) to base 12\nAnswer: 3a135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/35)*c*c*(c\/(c*c*c*c*c\/c**(-8)*c*c))\/c)\/(((c\/(c*c\/c**(-3\/4)))\/c)\/c*c\/(c*c**3)))**(-23) assuming c is positive.\nAnswer: c**(20309\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 5200.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-23))\/(d*d**(-21))*(d*d**31)\/d**(-2\/3) assuming d is positive.\nAnswer: d**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2\/269 (c) 0.2 (d) 1425\/2 (e) 2\/9 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(1 + -3 + 3). Suppose -z*v - 34 = -4*v. What is the greatest common factor of v and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 32. Let w(y) = y**3 + 5*y**2 + 6*y + 54. Let k be w(-6). Let v be q(k). Solve 5*c = 4*m - 17, 3*c = 7*c + m + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*(sqrt(88) + 4*sqrt(88) + sqrt(88)) + sqrt(88)))\/(sqrt(96)\/sqrt(3) - (sqrt(80)*1)\/sqrt(10))*-5)**2.\nAnswer: 46475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -84477523129.\nAnswer: -84477523139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ziiqqqzzq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 28 - 2*o**2 + 2*o**4 + 4*o - 26 - 2*o to m + f*o**2 + a*o + r*o**4 + c*o**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.2 and 212.\nAnswer: 218.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, b: 10, n: 1}. Give prob of picking 1 n and 1 b.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199606.0999974 + -199606. Let r = 0.3 + -0.2. Let h = r - g. Round h to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26\/33, -4, 1\/2, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 53*z + 4858. Let r(p) = -12*p - 1215. Determine -3*d(u) - 13*r(u).\nAnswer: -3*u + 1221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239018403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543847 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.1 - -21.01. Let v = -0.11 + m. Let r = v - 0.3. Sort -1, r, -4 in increasing order.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117061 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - y**5 + 2*y**5 + (-2*y**5 + 0*y**5 - y**5)*(0 + 2 - 3) + (-51*y + 120*y - 5*y)*(-y**4 - 2*y**4 + 5*y**4).\nAnswer: 132*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, p: 7}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52172555 and 415.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = v - m + 2 + 5, -3*m + 10 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/7 + 29*a**3\/7 + 166*a**2\/7 + 136*a\/7.\nAnswer: -a*(a - 34)*(a + 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.93 - 0.07. Let n = -0.058 - 3.842. Let g = -4 - n. Which is the second biggest value? (a) o (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**4 + 3*i**4 + 16*i**4)*(22 - 17 - 7 - 6*i).\nAnswer: -198*i**5 - 66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 1. Let h be p(1). Suppose -16 = -4*n, h*k - 2*n = -4*k - 8. Suppose k = -10*c + 11*c + 3900000. Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1019369, 2038740, 3058113, 4077488, 5096865, 6116244, 7135625?\n\"Answer: z**2 + 1019368*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/((-4176)\/(-270))*72\/(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 4678.\nAnswer: 33\/4678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(130) - (sqrt(130) + sqrt(130)*2 + sqrt(130))))\/((sqrt(90) - sqrt(90)*-3)\/sqrt(9)) - (sqrt(52)*2 + 2 + -3*sqrt(13)*-1*6)**2.\nAnswer: -6296 - 179*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*a - 11. Suppose -6 = -3*n + 6*n. Let v be ((-3)\/(-2))\/(n\/(-4)). Sort a, -5, v in ascending order.\nAnswer: -5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 85*t - 165. Let v(q) = -12*q + 20. Let i(j) = -2*r(j) - 15*v(j). Calculate i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10854*a*i**3*o**3 + a*i*o**3 + a*o**3 + 2*i**2*o**3 + i**2 - 2*i*o - 8*i + 287*o**3 wrt i?\nAnswer: -65124*a*i*o**3 + 4*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n**(-2\/7)*n**1*n**(-4)*(n*n*n**7\/n*n)\/n**(2\/15)*(n**(-2))**6 assuming n is positive.\nAnswer: n**(-359\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1352, 2672, 3982, 5276, 6548, 7792, 9002?\nAnswer: 10172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3406*l - 5 = -3401*l - 2*z, -z + 15 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 251. Suppose 9*z - 1068 = -h. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 18696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/((-121)\/4543) - 7 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 209, 319, 435, 557?\n\"Answer: 3*q**2 + 95*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10973, 11072, 11173, 11276, 11381?\n\"Answer: z**2 + 96*z + 10876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.4, -2\/369, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -35*k - 5*k**2 + 22*k - 7 + k**2 + 23*k. Let i(p) = 5*p**2 - 11*p + 8. Determine -7*g(s) - 6*i(s).\nAnswer: -2*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -16*l - 40. Suppose 2*m - l = -3*m. Solve -m*v = -4*s - 6, -2*s + 12 = -2*v - 4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9 - 6*v**3 - 11 + 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872)*2 + (sqrt(1872) - (sqrt(1872) + sqrt(1872) + sqrt(1872)*-1 + sqrt(1872) + 1))**2.\nAnswer: 48*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232268530 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*l - 14217*b**2 - 2*b*l + 12*b + 7280052*l wrt b.\nAnswer: 2*b*l - 28434*b - 2*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4866227927?\nAnswer: 11, 29, 1279, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18232244, 36464478, 54696712, 72928946, 91161180, 109393414?\nAnswer: 127625648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 209*u**2 - 1201*u - 162. What is a(-6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:56 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*x - 5568 = -302*x. Solve 3*j + x = 63 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179764915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298541 or 298553?\nAnswer: 298553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*p = -210*p + 422*p - 22 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195) + sqrt(195) + 3*(sqrt(195)*-2 - sqrt(195)))\/(sqrt(20)*-3))\/(sqrt(3) + sqrt(21)\/(-4*sqrt(7)) + sqrt(243)*-4).\nAnswer: -14*sqrt(13)\/423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*n + 1995*n - 158*n = -496*n + 107800 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*y - 2*t + 30, 5*y = 5*t - 15. Let q(x) = -6*x**2 + 33*x**3 - 1 + 9 - 3*x - 34*x**3. What is the units digit of q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82\/3 + -28. What is the smallest value in -1, 1, 0.1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1424547*-0.392\nAnswer: 0.0558422424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4 - 1 + x + 0 + 2 - x**2. Let i be g(0). Let l(j) = 5*j - 2. Let z(t) = 4*t - 1. Let k(n) = -5*l(n) + 6*z(n). Calculate k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 - 7*r + 5. Let l = -24 + 16. Let o = l - -12. Does 14 divide b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iioildookdkliu. Give prob of picking 1 l, 1 u, and 2 o.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 20*m - 80. Suppose -m = -o + 33. Calculate the greatest common factor of 1921 and o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036248 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8356280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 6)*(r + r + 69 - 5) as b*r + n and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -16 + (19 - 17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 6. Let u be q(-4). Let m(d) = -d**3 - 6*d**2 - 4*d + 5. Let y be m(-6). Let z = 25 - y. Put z, 3, u in ascending order.\nAnswer: z, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24152.\nAnswer: 2, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 12. Let f be (6\/8)\/(1\/k). Let r = f + 17. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/15, 9, -1 in decreasing order.\nAnswer: 9, 16\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12248 - 13223 = 39*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q**4\/3 - 1838*q**3\/3 - 34796*q**2 + 1329218*q\/3 + 338800\/3 = 0. Calculate q.\nAnswer: -56, -1\/4, 11, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655 - g - 4*g - 5*g + 14*g + 3*g.\nAnswer: 7*g + 655","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 3*o**2 + 7*o + o**2 + 5. Suppose -7*x = 6 + 22. Is k(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001232 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.7. What is the smallest value in -3\/5, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/8, 0.0792, 0.2?\nAnswer: 0.0792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-90)\/9)\/(4\/(-14)). Suppose 2*y + 4*v = 14 + 12, 3*y + 5*v - f = 0. Differentiate -1 + 10*n + 2 - y*n with respect to n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.06. Let b = -84.5 + 84. What is the biggest value in b, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*h**3*s - 781*h**2*s - h**2 - 18*h*s - 104*h - 6 wrt h?\nAnswer: -144*h*s - 1562*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-12))\/(26\/156).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + 2 + sqrt(3) + sqrt(12)\/sqrt(196) - (5*(1 + sqrt(192))**2 - (3 + sqrt(147)*-1)).\nAnswer: -950 - 601*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*v**4\/9 + 206*v**3\/9 + 1030*v**2\/9 + 182*v\/3 = 0. What is v?\nAnswer: -13, -7, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.894 - -5.394. Which is the nearest to -13\/2? (a) -9 (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 65701 in descending order.\nAnswer: 65701, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -490.597 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/149 - -8380\/1341. What is the common denominator of n and ((-4)\/18)\/((-3)\/126)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8 = -4*f - 7, 2*q + 10 = 4*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - p**2 + 0*p - 3*p - 17*p**4 - p**3 - 33 - 5*p**4 + 25*p**4 to r*p**4 + x*p**3 + l*p + f + a*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-2 + 2) - ((-338 - -79) + 148).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19470 divided by 3245?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200 - -10?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29914397 + -29914355.000078. Let p = 42 - w. Round p to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, -61, 3\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(0*j - 7*j + j)*(25513 - 25513 + 81*j**2).\nAnswer: -486*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305 + 4.619.\nAnswer: 309.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(176) - (-1 + sqrt(176) + -2 - sqrt(176)))).\nAnswer: -16*sqrt(11) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4257182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 3. Suppose y - z = -y. Suppose 0 = -4*p - 145 + 185. Calculate the remainder when p is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/(-712) - 56\/(-224). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*(-6)\/(-4). Let z be ((-2)\/(-4))\/(2 - y). Let a = -0.38384 + 0.18384. Sort a, -4, z.\nAnswer: -4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 68 = n + 4*n, -r = 1. Calculate the remainder when n is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4866 - -4866.000051486. What is b rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -153. Suppose 2*p = -3*t + 31, 2*t + 9 = 2*p + 3. Calculate the lowest common multiple of p and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796 is divided by 67?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-8)\/340*-17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13619, 54451, 122501, 217769, 340255?\nAnswer: 489959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 736 - 9562\/13. Put 0, 4\/3, q, 3\/5 in descending order.\nAnswer: 4\/3, 3\/5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1854, 7408, 16666, 29628, 46294, 66664, 90738?\n\"Answer: 1852*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*v - 35*v - 120 - 33*v + 102*v - v**2 - 744*v**3 + 2568*v**3 wrt v?\nAnswer: 10944*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 m when four letters picked without replacement from yccmtmmmmp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*h - 7*h - 135999, -2*h + 136017 = 3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*p**3 - 67*p**3 + 150*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -34 (c) 21\/5 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*w**4 - w - 30*w**3 + 55*w**3 - 12*w - 27*w**3 to the form d + j*w**3 + p*w**4 + c*w + n*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 4, q: 1, i: 1, o: 5, s: 1}. Give prob of picking 1 o and 1 g.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -0.8. Let z = k - 0.5. What is the second smallest value in z, 3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 1760 = -0*o + 49*o - 5288 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6))**34*(a**(-2))**42)**(-26) assuming a is positive.\nAnswer: a**7488","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*w - 3*p, -9 = 5*w + 3*p + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + ((-75673)\/(-39) - 12). Let f = c - 1340. What is the highest common factor of 31 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 105. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let c be j\/4*(5 + -1). Suppose 0 = -c*w + w + 149. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 9:40 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10010101?\nAnswer: 10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -129568.8, 4, -3, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-22) - 16\/(-88). Let o(s) be the first derivative of -3*s**2\/2 - 3*s - 3. Let z be o(k). Sort 2\/15, z, -0.6 in descending order.\nAnswer: 2\/15, -0.6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243476.\nAnswer: 2, 60869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - (-1 + -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -19, -3\/7, 2\/19 in increasing order.\nAnswer: -19, -3\/7, -0.3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) -0.5 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + 4) - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 184\/(-6)*(-9)\/(-54)*-9. Suppose 2*o - w + 42 = 0. Solve 3*g + 14 = -j + o*j, -2*g - 14 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 447\/643 + 1393051\/11574. Let j = z - 259\/2. Find the common denominator of 19\/84 and j.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/6)\/(4\/30). Let r = -51 - -55. Solve 4*h + h - y = r*f, -4*f = 2*h + 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjc when three letters picked without replacement from fdfjddjocjcfddjcjjff?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 12. Let y(z) = z**2 + 14*z - 15. Let m be y(-15). Determine o(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27997765109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754476 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 15 - 2*k**2 - 5.\nAnswer: -2*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -16*t - 741. Let s(j) = -4*j. What is a(s(m))?\nAnswer: 64*m - 741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -4, 13.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/149760 and -27\/640?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543 + 550. Suppose 5*p + 2*q - 7 = t, -q + 2 = 0. Solve -o + 2 = 3*o + c, 0 = 3*o - p*c - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1879, 1915, 2011, 2197, 2503?\n\"Answer: 5*v**3 + v + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*3\/2*45?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, 1 g, and 1 b when four letters picked without replacement from bggwv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018355232 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2156 and 25\/484.\nAnswer: 23716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3012?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*u - 5*u, -11 = g + 4*u. What is the remainder when (11521\/(-82))\/(g\/(-2)) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*q - 6, 5*d - 2 + 17 = -5*q. Let k be (d - -1) + 13 + -2. Let m be (-8)\/126 + k\/42. Put 3, 0.1, m in descending order.\nAnswer: 3, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9538 + 9538.3. Which is the third biggest value? (a) 61 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11523975037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -d - 16, 210404*d - 210408*d = 44*h - 192 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2623175 divided by -524635.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 4. Let b(v) = -2 + v + 1 + 2*v**2 + 2*v**3 - v**2. What is the units digit of b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648606.\nAnswer: 2, 3, 7, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 2\/3 (c) -2\/3 (d) 0 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.814km in nanometers?\nAnswer: 431814000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.1 or 2224?\nAnswer: 2224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -97989b (base 15) to base 13\nAnswer: -165aa30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-75)*(-4)\/(24\/25). Is 3 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848742700 rounded to the nearest 100000?\nAnswer: -848700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59b2 - 0?\nAnswer: 59b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 - 7 - -14 - (-8502)\/2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28522626491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y + 594. Let v be h(-21). Solve 8*d - 24*d = v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -5*k**2\/2 + 11*k - 1163. What is t(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 48 divided by -1774\nAnswer: -24\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1605, -17, -5.\nAnswer: -17, -5, 1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/38*27645\/2910?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 13623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 7*n - 14. Let w be r(9). What is the third biggest value in 2\/7, w, 1, -4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15536503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0 - 12, -q = 5*i + 17. Suppose p + 0*p = -9. Let x = -4 - p. Solve u - 1 = x*t, -q*u - 11 = -0*t - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 991 + -30.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -61*x + 24*x. Suppose 3 = 3*s - 9. Put 28, x, s in descending order.\nAnswer: 28, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 108*n**2 + 115*n - 253. Calculate q(55).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*d + 145*d - 104*d - 1125 to the form z + k*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.512 + -0.3682. Let o = 0.143798043 - k. What is o rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - 5*p**2\/2 - 5*p - 7. Suppose -4*k + 5*k - 7 = 0. What is the units digit of s(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (693\/126)\/((-4)\/(-8432)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d - 27657?\nAnswer: -27705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27334 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9) + (-16)\/33. Let f = -6212\/9 + 690. Let r be (-19)\/10 - 4\/(-10). What is the second biggest value in r, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 at most as big as -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 + 131. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24502 (base 6) in base 15?\nAnswer: -1128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**4 + 2*d - 4*d - 3*d**4 + 2 + 5*d**4 - 4*d**3 as o*d**2 + g*d**3 + u*d + j*d**4 + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -496*q + 439*q + 5 + 425*q**2 - 3 - 4 wrt q?\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -29198160*o + 24075. Let p(w) = 4851*w - 4. Calculate -4*h(n) - 24075*p(n).\nAnswer: 4815*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5476 and -79\/10.\nAnswer: 27380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*c**4 - 20279*c + 20297*c - 185*c**3 + 53*c**4 + (-c**3 - 2*c + 2*c)*(-c - 3*c + 3*c) - 1 + 1 + c**4.\nAnswer: 3*c**4 - 185*c**3 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*t - 2, 3*l - 4 = -t - 0*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/30 + (-6)\/3 + 2 and -47\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166.9 - -166. Put 4, y, 9 in decreasing order.\nAnswer: 9, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1 + (-18)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -767.442 + 1.442. Let i = p + 766.7. Which is the nearest to i? (a) 5 (b) 2\/17 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 13235*g\/4 - 3309.\nAnswer: (g - 13236)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000228 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/88)\/(6\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - y)*(-y - y**2 + y) + 4 - 352*y**2 + y**3 + 344*y**2 + y - 3.\nAnswer: 3*y**3 - 8*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*t**2 + 66?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b70 (base 14) to base 5.\nAnswer: -1044333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 not equal to -117603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**2 - 305*x**2 + 0*x - 9*x - 26*x**2.\nAnswer: -286*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-68)\/12 - 1)*-3. Let z(k) = k**2 + 78*k + 1478. Let b be z(-32). Solve -10*a = -b*a - m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 247743 - 247743.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12*b**2 + 181*b - 929. Calculate g(5).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187\/6 + 227\/2. Let s = 83 - b. Sort 5, -2\/3, s in decreasing order.\nAnswer: 5, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24300000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3648497*a - 13 + 13 + 3648500*a - 7297005*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 27852297 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/120*r**6 + 1\/60*r**5 - 1\/24*r**4 + 0*r - 1\/6*r**3 + 0 - 4*r**2. Determine k, given that p(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4545*c**4*m + 226*c**3*m**3 - 3*c**3*m - 2*c**2*m**3 + c**2*m**2 - 5332*c**2*m - 5*c*m**2 + 2*c - 9*m wrt c?\nAnswer: -109080*c*m + 1356*m**3 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1461 (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.235 + -9.765. Which is greater: 4.3 or j?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 2 + (37 - 33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/11, -8\/5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -33. Let l = a + 27. Suppose -3*y - 2*m - 15 = 10, 0 = -y - 4*m - 25. Sort 2, y, l in decreasing order.\nAnswer: 2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/446 (b) 0.177 (c) -0.4 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 11.645?\nAnswer: 11.645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 109. Let y = i + 49.2. Let r = y - -4.5. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 7*y - 2*y, 3*y = -4*f - 6. Find x, given that 2\/5*x**y + 2\/5*x**3 - 2\/5*x - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10, 3, -0.5.\nAnswer: -0.5, 9\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r**4 - 3528*r**3 - 12*r**2 - 3180741*r wrt r?\nAnswer: -108*r**2 - 21168*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67966 (base 10) to base 4\nAnswer: 100211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttntn. What is prob of sequence tt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 + 5*l**2 - 5*l**2 + l**2 - 6*l**2 + (-l - 2*l + 2*l)*(2*l + l - l).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:39 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:59 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1918, 1889, 1838, 1765, 1670, 1553?\n\"Answer: -11*u**2 + 4*u + 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34877\/6 + -5847. Let a = -34 - p. What is the smallest value in a, -4, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6491 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/2, 0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58187951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/304 and 95\/2825816.\nAnswer: 107381008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 16. Let u = 23 + -7. Suppose u = -0*h + 2*h. Let f be x(h). Sort -4, 1, f in ascending order.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 3*v + 2*v)*(-10*v**3 + 21*v**3 + 16*v**3) + 3*v**4 + 105 + 14*v**4 - 15*v**4 to t*v + f*v**4 + d*v**3 + x*v**2 + j and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 - d**2 + 40*d**2 to l*d + q + w*d**2 and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 16866222?\nAnswer: -16866221.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -35. Suppose -d = -k + 3. Let u = 18 - d. Solve 0 = -u*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/66 + 105\/18. Let p be f\/((-24)\/220)*-1. Let c = -101 + p. Which is bigger: -47 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503740 is divided by 441.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = -w - 3, -5*r - 5*w + 30 = 0. Suppose -2 = -s + r. Suppose 5*f + 31 = n, -5*n + 190 = s*f + 7. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 34 (c) -1804\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + -35. Let s = -15 - c. What is the tens digit of 3\/(-2) - s\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - -1*sqrt(7)) - sqrt(14)\/sqrt(2)*-3.\nAnswer: 1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 685*k**3*p**3 + k**3*p + 56*k**3 + k**2*p**3 - 14619*k**2*p**2 - 48*k**2*p wrt k?\nAnswer: 4110*p**3 + 6*p + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose u - 5*o + 5 = k, 4*u + 4*o = 5*u + 1. Suppose 3*z + u = p, p + 3*p - z - 49 = 0. Solve -3*h + 3*j = 5*j + 6, -2*h + 4*j + p = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 19*g + 28. Let r be l(-11). Which is the biggest value? (a) r (b) -2 (c) -1\/3 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h - 34346 = 50*h. What are the prime factors of h?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089301 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-5)\/b*b))**39*(b**(-8)\/b)\/b**(-15) assuming b is positive.\nAnswer: b**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100001011100 + 10?\nAnswer: -1011100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(363)*-3 + (sqrt(363) - ((-1 + sqrt(363))*6 - sqrt(363)))).\nAnswer: 18 + 165*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 89186*g - 3210777\/4.\nAnswer: (g - 356753)*(g + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 not equal to -0.027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 234846?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24288730 and 13700?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/10 or 28?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1051 + 888. What is r rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30527, -61014, -91461, -121868, -152235, -182562, -212849?\n\"Answer: 20*m**2 - 30547*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9082701kg?\nAnswer: 0.0009082701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -2252. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*a**3 + 23*a - 22*a + 7*a**3.\nAnswer: -194*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 - 69 = -47*n - 600 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 2. Suppose 5*r + 10 = -5*u, -u - r + 4*r + 18 = 0. Suppose 8 = -2*h, -2*h = -2*p - u*h + 2. Let n be o(p). Solve -b - 6 + n = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(272) + -2 - (-2 + (sqrt(272) - (sqrt(272) + -1)))).\nAnswer: -16*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -634, -557, -396, -151, 178?\n\"Answer: 42*a**2 - 49*a - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8*c = 12. Suppose l - 3*w - 17 = 0, c*w - 23 = 3*l - 95. What is the remainder when 76 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*x - 14, 4*r + 2*x - 3 = 9. Find the third derivative of -u**2 + u**6 - u**r - 3*u**6 + 3*u**6 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21284*l**2\/7 - 8*l\/7.\nAnswer: -4*l*(5321*l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 15, -7*z + 2*z - 19 = 2*c. Solve 7*u - c = 6*u, -3*g + 5*u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 301*a**4 - 11395*a**3 + 4877*a**2 + 27825*a + 11250 = 0. What is a?\nAnswer: -1, -1\/2, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/q**9 assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 14) in base 7?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1527.3147 and 76736.\nAnswer: 75208.6853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11245722 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 3:36 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8950 is divided by 37\/(126\/72*6\/21)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 118811\/2934?\nAnswer: 118811\/2934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j + 4. Let i be q(-2). Let m be (-9)\/(i\/16) + 9. Let o = 41 + 14. What is the greatest common factor of o and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8*j = -3*j - 359, 0 = 3*q + 2*j - 1116. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 2\/((-2)\/7). Let i(x) be the first derivative of 0*x + 1\/2*x**2 - 1\/6*x**6 - 2\/5*x**5 + 0*x**4 - 2 + 2\/3*x**u. Factor i(g).\nAnswer: -g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 + 0*h**2 + 70*h - 70*h - h**2 + 3 + (2*h - h + h)*(-6*h + h + 3*h) + 3*h**2 - 5*h**2 + 3*h**2.\nAnswer: -5*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170489?\nAnswer: 7, 41, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/5)*w**(2\/11))\/(w\/(w**(-17)\/w)*w*w**(-1)))**(-9\/5) assuming w is positive.\nAnswer: w**(8721\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 11.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/53801 and -91\/489100?\nAnswer: 5380100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 4*g**5 - g**5 + (-20686*g**2 + 10374*g**2 + 12382*g**2)*(2*g**3 - g**3 - 2*g**3).\nAnswer: -2071*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3613?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l - 49 = -23*l - 448 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 0*w**2 + 3*w**2 - w**2 - 522 + 2*w**3 + 526. Let h be v(0). Solve 3*s = -4*t - 5, -t + h = s - 2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21096, -21797, -22498, -23199, -23900, -24601?\n\"Answer: -701*b - 20395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - k**4 - 10*k**3 + k - 2*k**2 + 1 + 10*k - 20*k to u*k**3 + y*k**2 + i*k**4 + t + a*k and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 10*b - 1120. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2169288*g**2*v**3*z - 7*g**2*v**3 + 2*g**2*v*z + 2*g**2*v + 6*g*v**2*z - 2*g*v**2 - 167860*v**2*z wrt v?\nAnswer: 13015728*g**2*z - 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16686979, 16686977, 16686975?\nAnswer: 16686973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/3 + 74*h**2\/3 + 646*h\/3 - 722\/3 = 0. What is h?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -74304 at least -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166795\/18 - 9269. Let o = 68899 + -15502316\/225. What is the common denominator of o and p?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22831, 22837, 22843?\n\"Answer: 6*i + 22825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(66)*-3)\/(-1*sqrt(384) - sqrt(6)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 340?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 1 + 1 - t + 4*t - 6*t + (7 - 2 - 3)*(0*t - t + 3*t) + 0*t + 6*t - 3*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1115210 (base 7) to base 5.\nAnswer: -13414202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**1*x*x)**37\/(x**(-10)*x**11\/x) assuming x is positive.\nAnswer: x**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, r: 7}. Give prob of picking 2 k.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -7 (c) 5 (d) 3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 6 + 21, 863*s + 3*j - 4*j + 1356 = -538*s + 4*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 88.1. Which is the nearest to u? (a) 3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 89*i**2 - 498*i - 3. Determine p(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282213814507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1459*t + 210 - 210)*(-t - 2*t + 4*t) to the form x*t + f*t**2 + k and give f.\nAnswer: 1459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times -20?\nAnswer: -4420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13169.\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 58. Let m be z(-10). Put m, -5, 6 in decreasing order.\nAnswer: 6, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 979015481*k + 1079982956 wrt k.\nAnswer: 979015481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtmt when four letters picked without replacement from {m: 9, t: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406696 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: Collect the terms in -90*w**2 + 372*w**2 - 89*w**2 - 97*w**2 - 90*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 32, 19, -2, -31?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21 - 1569*y + 8 + 30 + 10272*y**4 - 60 - 3036*y**4 wrt y?\nAnswer: 86832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 81, 161, 269, 405, 569, 761?\n\"Answer: 14*j**2 + 10*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 555858617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26269339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -1\/35*r**5 + 1 + 0*r**3 - r - 1\/7*r**4 + 0*r**2. Find j such that h(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + z, 4*s - z - 2*z + 1 = 0. Suppose -s*y + 4*y - 5*t = -12, t = -5*y + 24. Is 50 + y - (0 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose -9 = -2*w + 1. Suppose 3*o - w*o - 10 = j, 3*j = -6. Sort o, 1, v in decreasing order.\nAnswer: v, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 + 2*m + 1. Suppose 0 = -2*t + 3 - 5. What is c(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -232, -230, -216, -184, -128?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 554752*v + 4992753. What is k(-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -28. Suppose -4*n - 12 = -l - 3*l, 0 = 4*n + 2*l - w. Suppose 4*z = -2*m + m + 11, 5*m - n*z = 11. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7358\/4087 - 108\/61. Which is bigger: u or 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.661, -17, 0.5, -0.3, -4, 4, 0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 2. Let i be d(1). Suppose -16 = 4*y - i. Is 2\/y - (-476)\/12 - 1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(405)\/sqrt(9).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*z = -11692, -5836 = -2*b - 18*z + 14*z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 86 + 46 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 424.\nAnswer: -93.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/2 + 5*l + 8. Let p = 21 - 16. Let d(w) = 3*w**3 - 9. Determine p*k(v) + 3*d(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 6561412.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -83238767 and -83238767 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*f + 4*m - 17, m = 2*f - 6. Suppose -5*q = -5*g - f, -3*g + 8*g = -3*q - 5. What is the closest to -2 in g, -4, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/7 - 14*s**4 - 16*s**3 + 600*s**2\/7 = 0. What is s?\nAnswer: -3, 0, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*-4)\/(sqrt(1089)*2))**2.\nAnswer: 288\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*h = -5, -2*f + h + 10 = -3. Let k = -15 - -10. Which is the second biggest value? (a) k (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588722539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 29*x**2 + 11*x - 17. List the prime factors of b(4).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022010 - -12?\nAnswer: 11022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Suppose 5*k = 2*z + 49, -16 - 5 = -3*k - 3*z. Let u(j) = 3*j + 0*j + k*j - 4*j. Give y(u(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 5a?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f + 46 = 3*y, 4*f = -4*y + 72. Suppose h + 11 = y. Suppose 9 + 4 = 3*q - 2*a, 0 = -4*q + 5*a + 22. Solve q - h = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(40)\/sqrt(5)) - sqrt(51))\/(-4*sqrt(27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -338 + 341. Suppose 435 = -4*i - i. What is the units digit of ((-35)\/v)\/(-5 + i\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -136?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -764 + -4?\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3 + 4\/3*q**3 + 3\/2*q**4 + 0*q + 0*q**2. What is the third derivative of j(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2529545 to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1) + 4 + 0. Suppose 0*q - q = -l. Suppose -y + 2*y - 17 = -d, 35 = 5*y - 5*d. Solve q*w + 4 = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*t - 10, 15*t - 18*t - 2*s - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15262581605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38228439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k - k - 4*k + (-4 + 4 + 9*k)*(1 + 4 - 4)*(-216 + 14 - 32).\nAnswer: -2105*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125 + 69 + 32 - 2*h**2 - 394*h + 496 wrt h.\nAnswer: -4*h - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -828*q + 6624. What is i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 1.73 (c) -19 (d) -2\/15 (e) -0.5 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 13*l**2 + 13*l + 27. Let b be r(14). Solve 0 = -5*o - 12 - b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13413 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(54\/111399) + 1. Let z = y + 6165. Find the common denominator of z and -81\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*u. What is the closest to u in 3, 0.02, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/15 in -86, -2\/29, -4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1846333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f**4 - f + (-7*f**3 + f**3 + 11*f**3)*(6*f + 0*f + 6*f) + 2*f**4 - 3*f**3 + 3*f**3 to the form p*f**4 + r + u*f**2 + x*f**3 + t*f and give p.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:02 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91 and 355?\nAnswer: 32305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71058 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 14\/3. Suppose 62*r = y + 60*r + 7, -4*y + r = -7. Suppose -2*a - 3*j = y*a - 35, t*a - 35 = -j. What is the highest common divisor of a and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25131 = 4*g - 5*m - 3085, 5*g - 35270 = -m. What are the prime factors of g?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let m(p) be the second derivative of p**3\/3 - 571*p**2 - 6284*p. Determine m(f(y)).\nAnswer: -4*y - 1142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 522423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 24 = 0. Suppose r + 5 = 0, 0 = -j + r + x + 17. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s + 5. Let z be g(-5). Suppose 3*n = 4 + z. Calculate the lowest common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (-7572)\/(-1) - 26\/(-182)*-56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -333044*f + 333044*f + 1175*f**3 - 363 wrt f?\nAnswer: 3525*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -435842 or -435844?\nAnswer: -435842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:01 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.123484?\nAnswer: -0.246968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384728036.\nAnswer: 2, 7, 11, 19, 29, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 724061811 to the nearest integer?\nAnswer: 26908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -226, 1, 7, -0.5, -0.233?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64136113 - -10?\nAnswer: 64136123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(11))*-4)**2 + sqrt(55)\/(sqrt(45) + sqrt(5)) + (sqrt(11) - -2*sqrt(539) - (sqrt(88)\/sqrt(128) + sqrt(11))).\nAnswer: 14*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1*11\/(-55). Let n = 18 - 23. What is the nearest to -1 in 0, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54245 (base 9) to base 6\nAnswer: -434152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3*u - 6*u)*(4*u**3 - 2*u**3 - 3*u**3) - 11*u**4 - 2*u**2 + 22*u**4 - 7*u**4 in the form z*u**3 + p*u**4 + r*u + d + g*u**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:42 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22951 and -149\/137706.\nAnswer: 137706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u - 92*u + 30*u + 28*u + 345*u**2 - 2*u**2 + 3*u**2 + 0*u**2 + (0*u - 5*u + 3*u)*(0 + 2*u + 0) in the form v*u**2 + a + c*u and give v.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -0.085 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -4813.\nAnswer: -4813, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -57*(4 - 5) - 4 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2831*h - 2837*h - 2 + 3*h**3 - 2*h**3 - 3*h**2 + 8*h**2. Determine d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:55 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o + 3 - 2*o + 0*o. Let q be v(4). Let i = q + 126. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3741 - -15013\/4. Find the common denominator of -47\/1272 and d.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*v**2 - 448*v**2 + 653*v**2.\nAnswer: 263*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*z + 2*c, 2*z - 3*z + 54 = -2*c. Let p = -43 + z. Let v be (-3)\/(-12) + (p\/(-4) - 3). Sort v, 1, -2 in increasing order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccjqji. Give prob of sequence ccj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13018 + -5838. Let n = u + 904987\/48. Find the common denominator of 103\/56 and n.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147))**2 + -4.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i. Suppose 0 = -2*w - 23 + 41. Calculate the smallest common multiple of w + (-6)\/(-6) + -1 and p(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*g)*(3*g + g - 2*g) + (g + 2*g + 2*g)*(-2*g + 6*g + 13*g) - 6*g**2 + 2*g**2 + 3*g**2.\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:56 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(13) + -3 - (sqrt(117)\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*(3 - 3 - 2*z) - 2*z + 0*z + 0*z - 2*z + 3*z + z + (2 - 2 + 2)*(-36 + 36 - 6*z) as r*z + l and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5371141 - 2819*k + 5371141 as i + a*k and give a.\nAnswer: -2819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/3017348 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6470 divided by -10\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -37886691648737.\nAnswer: -37886691648736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*j**4*q*z + 6*j**3*q*z - 2*j**3*q - 26*j**2*q*z + q*z + 8*q wrt j?\nAnswer: 528*j*q*z + 36*q*z - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16200000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 72 = -5*k, -158*k + 156*k - 18 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26052753 (base 8) to base 7\nAnswer: 100131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7964*c**2*f - 3*c**2 - 9*c*f - 41*c + 35*f - 534847 wrt f.\nAnswer: -7964*c**2 - 9*c + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177.2 + 126.2. Let k be (-12)\/(-4) - (-26)\/(-8). Is b at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and 4.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912115509 to the nearest integer?\nAnswer: 30201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14758 - 14759.1637. Round w to 2 dps.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2 + 56*j = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 155163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i**2 + 6*i**2)*(i + 0*i + 0*i) - 50*i**3 - 22*i**3 + 16*i**3.\nAnswer: -54*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mhoonoosm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2632 times 11\nAnswer: 28952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -5)\/(1\/1). Let l be (4\/(-2 - h))\/(-1). Let v(s) = s - s**2 + 1 - 1. Let r(y) = -7*y**2 + 7*y + 2. Calculate l*r(p) - 6*v(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*m - 7*m**2 - 35 - 38 - 2*m + 74 + 8*m as u*m + z + r*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 8. Let j = -4 + w. What is the lowest common multiple of j and 3*-5 + 72 + -46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 6*n + 16. Let y be s(9). Let a(c) = 3*c**2 + 11*c - 48. What are the prime factors of a(y)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7392 divide 3599904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13261 - -13264. Put 2, -2, -45, k in decreasing order.\nAnswer: k, 2, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = r - 10, -124*i + 4 = -122*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -4, 16, 38?\n\"Answer: m**2 + 15*m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(-9)))*i\/(i**(-1\/8)\/i)*i**(-2\/3)\/i**(-1\/8)*(i*i**(1\/2))**(-37)\/(i**(-2\/7))**3 assuming i is positive.\nAnswer: i**(-3617\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o + 14. Determine l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -266aa3 (base 15) in base 11?\nAnswer: -1050322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543, -2053, -4551, -8043, -12535, -18033, -24543?\nAnswer: -32071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) - ((-2*sqrt(325))**2 - sqrt(325)) - (sqrt(13)*2)**2*1.\nAnswer: -1352 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -11000?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -76. Let y = -307 + 208. Let c = w - y. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-179)\/(-78402))\/(7\/(-84))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)\/(g**(2\/15)\/g)*(g**25*g)\/(g*g*g**(1\/2)) assuming g is positive.\nAnswer: g**(761\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:57 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 + 12. Let s = -4 + o. Let x = 9.2 - 9. Is x less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -795*x - 270*x - 834*x + (2*x + 3 - 3)*(0 - 2 - 1) as c*x + g and give c.\nAnswer: -1905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 17*o**3 - 7*o**3 + 34*o**3 + 7 + 10*o**2 - 12*o. Is k(5) 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 39\/2166962 and 77\/928698?\nAnswer: 6500886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - 3) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 6 = -3*r, -4*r + 5*l = -9*r + 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from frdfrdrwrrdwdwrk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u - 33*u - 21*u + 4)*(u**2 - u**2 - 2*u**2).\nAnswer: 30*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n + 34. Let g be i(3). What are the prime factors of 268\/10 + -2 + g\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 (base 12) to base 9\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 516960 and 24?\nAnswer: 516960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3920.1 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 8*n**2 - 11*n - 89. Let o be v(10). Let f = 26.22 + -26. Which is the closest to f? (a) -2\/11 (b) o (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180*x**2 + 69 wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 991308 divided by -4.\nAnswer: -247827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/19 (b) 0.5 (c) 1 (d) -197 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 51 = -5*z + 18, s + 19914 = 19917 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/4432104 and 145\/288?\nAnswer: 17728416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -166, -376, -662, -1018, -1438?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g**2 + 36*g - 173. Let f(c) = 7*c**2 + 19*c - 87. Let l(p) = -9*f(p) + 4*m(p). Let z be l(23). Let h(d) = -40*d + 1. What is h(z)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.19, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057587 to 7 dps.\nAnswer: 0.0000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -5 + -10 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39237345, -78474692, -117712037, -156949380, -196186721, -235424060?\n\"Answer: d**2 - 39237350*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 193*i + 18412. Calculate q(-94).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, y: 5, a: 4}. Give prob of picking 1 z and 2 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + -4 + 0 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2\/2 - 3311. Let r(z) = 4*z + 484. Calculate r(v(c)).\nAnswer: 4*c + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - t + t - 11. Let o(f) = f + 1. Let a = -11 + 5. Let u be o(a). Determine p(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/28 - (4 - 44\/(-28))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6130082?\nAnswer: 2, 7, 173, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12*18\/300)\/((-648)\/810)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 114 = -4*t, 0 = -3*t + h + 76 + 16. Let j(d) = 13*d - 1. Let r be j(1). What is the greatest common factor of t and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -0. Let m = -2 + u. Solve 2*j + 6 = -m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) 5 (b) 0.6 (c) -1 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -20 - -3 - (48 - 10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 38*r + 375. What is t(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4400645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5419273 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 258*g + 9.\nAnswer: 258*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79610289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*j + 6. Suppose -95 = -4*u - j. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369383153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285 + -106556?\nAnswer: -106271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41870 minus 0.3?\nAnswer: -41870.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1149*c - 8040. Give q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -97*x - 9684. Calculate s(-104).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - -186. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9480 - -9480. Solve j = 31*r - 150 + 57 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 55\/(-15))\/(48\/(-42) - 1775\/(-175))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - -1 - (-87 + -87 + 179).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10236185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8155169 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(3 + (-8 - -3)). Let o be i\/(-18)*(0 + 1491). Suppose 0*b = -5*f + 3*b + o, 5*f - 496 = 4*b. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 75*y**3 - 12*y**3 - 21*y**3.\nAnswer: -106*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:01 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12.1 + -149\nAnswer: -136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 8)*(-195*p + 502*p + 534*p + 17*p).\nAnswer: -6006*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(5 - 44\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*y + 20, -4*u - 16 = -4*y - 48. Suppose w = -3, u*n - 709 = -3*w - 2*w. Suppose 0 = 9*t + 1 - n. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 4, i: 3, h: 1}. What is prob of sequence hcic?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 7. Let q = -224 + 227. Suppose -q*i + 23 = -61. Calculate the remainder when i is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/4, 2, 10 in decreasing order.\nAnswer: 10, 2, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -230, -194, -144, -80?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 17*h**2 + 138*h. Give k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5021800 and 2000?\nAnswer: 50218000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f + 2. Let q be x(7). Suppose -4*o = -4*l - 4, -3*l + 43 = 3*o + q*l. Suppose z + 2 - o = 5*y, 36 = 3*z - 3*y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23953*a**2 + 23209 wrt a.\nAnswer: 47906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 890, 932, 998, 1106, 1274, 1520?\n\"Answer: 3*s**3 - 6*s**2 + 39*s + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 301.386?\nAnswer: 297.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13612 divided by 22\nAnswer: 6806\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r. Let t(w) = -48*w**3 + 2*w. Give -2*l(m) - t(m).\nAnswer: 46*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -12. Calculate the remainder when 659 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(5\/15). Let q be 39\/(-9)*o - -1. Is (-6)\/(-42) + 68\/q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45297 is divided by 1104.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 424\/24*12 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*5\/(-675)*-10\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b - 17. Let h be ((-788)\/6304)\/((-2)\/(-48)). Give o(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:46 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29491 = 1702*n - 125391 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*f - 149, 5*f + 20 + 23 = -l. Let r = 40 + l. Suppose 0 = r*g + 2*g - 292. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214410 is divided by 53584?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 644110162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -20.26. Let v = 219 - 218.84. Let n = m + v. Which is the nearest to n? (a) 4 (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 84. Suppose 5*y - 4*d = -l*d + 590, 368 = 3*y - 4*d. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.30991+8.65808\nAnswer: 9.96799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcwtcttcccctwtccc. What is prob of sequence tcw?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2 + 35*j + 79. Is t(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.331 + -3.269. Which is the nearest to 1\/2? (a) p (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/10 - -4*8\/320*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 7:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:00 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h + 3. Let u be f(5). Let s be 4\/20 - u\/15. Let z = s + 15. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11546 + 70226?\nAnswer: 58680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11284*g + 6620*g - 2114*g - 4606*g + 7995*g to c*g + d and give c.\nAnswer: 19179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**2 + 29*f + 13*f**2 + 13*f**2 - 14*f**2.\nAnswer: 41*f**2 + 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 * 1.02.\nAnswer: -95.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 940950 divided by 27?\nAnswer: 34850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3.4. Suppose -8*r = -0*r + 8. Which is the nearest to -1? (a) m (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0581 * -5\nAnswer: -0.2905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42605 = 6*a - 11*a. Suppose 0 = 10*z + a - 45191. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:33 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*o + 20. Let k = -2 + o. Suppose -15 = -5*u, 3*s - 2*s - k*u + 5 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 113?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71544.38ms in microseconds?\nAnswer: 71544380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 17) + (-3892 - -3954).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 618, 43963 in decreasing order.\nAnswer: 43963, 618, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/2)*(-46 - -44)*-18. Let m(s) = 6*s + 140. Calculate m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 75.2227422126 and 0.\nAnswer: 75.2227422126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**4 + 0*c**4 + (-3*c**2 + c**2 + c**2)*(3*c**2 - 4*c**2 - c**2) + 0*c**4 + 2*c**4 + 0*c**4 + 4*c**4 + c**4 + 27*c**4.\nAnswer: 38*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (3168 - 3116).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 2, 0, 5, -1\/10, -608?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*l, 11*l - 3*l - z - 10 = 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 317*j**2 - 72265*j + 4469275\/3.\nAnswer: -(j - 19)*(j + 485)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 69 = -2*x. Let p = -32 - x. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 51 (c) -2\/3 (d) -3277 (e) -459\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007 and 152269?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -749.0329 + 749. Let z = y + 0.0328733. Round z to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 12. Let o(c) = 20*c + 35. Let t(q) = -8*n(q) - 3*o(q). List the prime factors of t(-15).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*k + 3 = k, -4*k = -2*x + 20. Find the third derivative of 5*w**2 + 8*w**3 - x*w**3 - 4*w**2 + 4*w**6 wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -33474*s + 1439383. Calculate f(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 22*z**2 - 27*z - 35. Give f(20).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 32 = -4*u, 3*h + 84 = -5*u + 56 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00747 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 40?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254 + -243 - (1 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 25, -10, -45, -80, -115?\n\"Answer: -35*s + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/6)\/(p*p*p*p**(-2\/23)*p))**(-46))**33)**(3\/11) assuming p is positive.\nAnswer: p**1551","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = -2*x, 38 - 8 = 5*x - 5*i. Let h(t) = -6*t - 2. Let m(v) be the third derivative of -7*v**4\/24 - v**3\/3 + v**2 + 166*v. Give x*h(a) - 2*m(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342 - -6500\/19. Is -1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20011312 - -132103?\nAnswer: -13213203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -163*u - 1495. Let w(a) = 299*a + 2991. Calculate -11*c(x) - 6*w(x).\nAnswer: -x - 1501","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h. Suppose -6*w = -18*w + 24. Let z(f) = 171*f**2 - 166*f**w + 0 - 4. Let g(v) = 14*v**2 - 11. Let t(m) = 4*g(m) - 11*z(m). What is t(c(p))?\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2656, 5385, 8168, 11005?\nAnswer: 13896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17.33976 nanograms?\nAnswer: 0.00001733976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -699 + 700. Let h(g) = -g**2 + 3*g + 7. Let v be h(4). Sort v, t, -13.\nAnswer: -13, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6 - 3 - 7 - 3 + 4*c. Let d(y) = y - 2. Give 6*b(t) - 21*d(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*z + 168*z - 27*z - 143 - 108*z - 25 to the form p + t*z and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 + 8*m - 3. What is the remainder when 6 is divided by u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2886370791.\nAnswer: 3, 541, 1778417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 1. Let n be i(1). Let g be n\/(-4)*2 - -2. Let m be 21\/(-7)*(-10)\/g. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/20*5 - (6 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let z(o) be the third derivative of 0 + 0*o**3 + 0*o - 50*o**2 - 1\/6*o**4. Give z(h(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnmt when four letters picked without replacement from {p: 1, n: 1, j: 1, t: 1, m: 2, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + 2*q + 0*q - 4*q + q + q + (-3 + 3 + 2)*(-2*q + q + 3*q) - q - 10*q + 2*q in the form v*q + w and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 96734137074 and -0.3.\nAnswer: 96734137073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2\/5 - 7928*d\/5 - 15872\/5 = 0.\nAnswer: -2, 1984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -12. Solve q*u = 2*u + 3*x + 18, -2*x = 4*u - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -3, 6, 29, 72, 141, 242, 381?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 2. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32113002 (base 6) in base 16?\nAnswer: -e62fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p**2 + 107*p - 5. Let i(c) = -21*c**2 + 108*c - 6. What is 4*i(t) - 5*m(t)?\nAnswer: t**2 - 103*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 2. Let f(b) = -7*b - 10. Let c(u) = 6*u + 9. Let d(v) = 6*c(v) + 5*f(v). Let z be d(-8). Let q be i(z). Which is bigger: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*y + 5, -y = 2*g - 2 + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-88290)\/(-30))\/109)\/((-5)\/(15\/(-33)))\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b = -37*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5084 - -5.4916. Which is the biggest value? (a) -8 (b) -0.1 (c) -1\/5 (d) -1 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4274221 and 2024631.\nAnswer: 38467989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57104149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212 divided by 22?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 17}. What is prob of picking 3 x and 1 h?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 980 and 4993835?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*p**4 + 34996*b*p**3 - 18*b*p**2 - 2*b*p + 2*p**4 + 4*p**2 - 823*p wrt p?\nAnswer: 48*b*p + 209976*b + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from iiniiiiinnn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 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: Suppose 585 + 1119 = 2*d - 2*n, 2*d - 5*n - 1713 = 0. What are the prime factors of d?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-4)\/34*(755 + -867).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5*z + 7)*(5 + 15 + 1)*(8 - 6 + 5).\nAnswer: -735*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -36*z**2 - 16*z - 1. Let x(a) = -36*a**2 - 24*a - 2. Let o(m) = -3*k(m) + 2*x(m). Let f(b) = 10*b. Give o(f(q)).\nAnswer: 3600*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 13. Suppose 4*h = 18*b - 16*b + 24, 2*b = -3*h - 10. Give i(b).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 304.1172 months?\nAnswer: 2.53431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(1*sqrt(343)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (210\/(-9))\/((-6)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0582 and 274.46.\nAnswer: 274.4018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 y when four letters picked without replacement from {t: 7, y: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/1549, -0.4, 6?\nAnswer: 4\/1549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f**4 - 198*f**3 - 363*f**2 - 252*f - 60 = 0.\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 times 0.3?\nAnswer: 216.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17142809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*j - 12*j - 8*j)*(0*j + j + 3*j + (2*j - 1 + 1)*(3 - 1 + 0)).\nAnswer: -312*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -477.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b58 - -503?\nAnswer: 325b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135152 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102600318 by -121998.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 202655\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 7*y + 6. Let f be h(-5). Let b(m) be the second derivative of -35*m**3\/6 + 6*m**2 - 3101*m. Is 38 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1725364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a week in hours?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/24 + 4*u**3\/3 - 3*u**2\/2 + 4*u. Let x(n) be the first derivative of p(n). Give x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 657400, 657415, 657430, 657445, 657460, 657475?\n\"Answer: 15*d + 657385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25291 - -47371. List the prime factors of r.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 824, 1182, 1540?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276916?\nAnswer: 2, 107, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = 4*l, 4*p = 5*l - 38 - 2. Suppose -28 = -4*c - 2*h, -2*h + 6*h = -c + 14. Let i = -1 + c. Solve l*g - 3*g = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178800660 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/8)\/(18\/4).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/232 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a9 - -4?\nAnswer: 4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268\/(-312) - (-26560)\/896?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*h = -945*h - 1386 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyclpccplyllp. Give prob of sequence yly.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 12. Let u = 6 - f. Put -1, u, 2 in descending order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5857 + 2356. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*o = 2*j - 1, -3*j + 15 = -3*o. Suppose 2*z - l = -319 + 72, 611 = -5*z - j*l. What is z rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234389*p**2 - 351090*p**2 + 1224017*p**2.\nAnswer: 2107316*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - d = -229, p - d - 3*d - 50 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -1, 3, -475?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*o + 895, 26*o + 4*i = 27*o - 285. Let t = 1168 - o. What is the highest common factor of 51 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 10*s + 17. Is 8 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 57 + 54 + 5 - 84*f - f**2 - f**3 in the form s*f**3 + r*f**4 + o*f + n*f**2 + h and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 2, p: 2}. Give prob of sequence im.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7*i + 10 = 0. Let a be (1 - 2 - i)*(-13)\/3. What is the greatest common divisor of a and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1219101650?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 1\/2*l**2 + 0*l - 2. Let a(b) = -34*b**2 - 32*b**2 - 42*b**2 + 122*b**2. Determine a(i(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*g**2 + 0 + 2 + (3*g - 3*g - 5*g)*(g - 49*g - 34*g).\nAnswer: 408*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 42. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 3.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -4. Let v(f) = f - 10. Let h be v(9). Let u be h - 2 - 0 - (-3 + 4). Which is the smallest value? (a) x (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/4)\/p))**(-10\/11)*((((p\/(p*p**(-1)))\/p)\/p)\/p)**(1\/50) assuming p is positive.\nAnswer: p**(-897\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -39*f**4\/4 - 61*f**3\/3 + 147*f. Find the second derivative of y(t) wrt t.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = 3*s. Let t = s + -6. Put -3, t, -4 in ascending order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4140654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 9845*n = 0.\nAnswer: -1969, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/((-8231)\/230468)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 5*u - 581. Calculate the highest common factor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 - -101111100?\nAnswer: 101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-2))*(-155)\/62.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxiiixttittxtttttfi. What is prob of sequence xt?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 192*((-10)\/115 + 2*641131\/138). Round a to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24502814 is divided by 666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1546 or -0.0333?\nAnswer: 1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(3\/16))**(-7)\/((k*k**0)**(-42)*k*k\/k**(2\/5)*k*k**0\/k) assuming k is positive.\nAnswer: k**(202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.997 - 0.003. Let d = -0.39 - -123.39. Let i = -126 + d. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 592717*f**3 - f - 592715*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/20)\/((-3)\/(-4)). Let n = -0.08 - 4.92. What is the closest to -2\/5 in n, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63\/187? (a) -5 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*v = 3*h - 540, 2*h - 2*v - 350 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085895 a multiple of 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13*v**2 - 4. Let i(w) = 33*w + 854. Let m be i(-26). Let o(s) = -13*s**2 - 14*s**2 - 16*s**2 + 11 + 5*s**2. What is m*o(f) - 11*t(f)?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 b, and 1 n when four letters picked without replacement from vbnknnbnabkbikn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let q = 3 - s. Let v(h) = h**2 + 6*h - 2. Let a be v(-6). Put a, -3, q in increasing order.\nAnswer: -3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - 29) + -2 + -6 + 0 + -2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -451.3624 from 2.\nAnswer: 453.3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jewewcciwccwweww. What is prob of picking 1 w, 1 e, 1 i, and 1 j?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/49777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5957 and 183631?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26288 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/18*174\/116?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*f**4 + 15018861*f**2 + 504904503?\nAnswer: 28*f**3 + 30037722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -621 + 625. Let y(p) be the third derivative of -1\/3*p**f + 0*p**3 - 2*p**2 + 0*p - 2\/15*p**6 - 2\/105*p**7 - 1\/3*p**5 + 0. Solve y(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - (-9361)\/185)*105\/(-14)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2 + 38*r - 27 wrt r.\nAnswer: 6*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c = 64*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/560 and 3\/599984.\nAnswer: 2999920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 477 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 568404, 568391, 568378?\n\"Answer: -13*i + 568417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 l when three letters picked without replacement from {l: 5, j: 1, s: 3, x: 1, m: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 68009.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w - 14*w - 9*w = -1128 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2533 (base 8) to base 4\nAnswer: 111123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18302178?\nAnswer: 2, 3, 3050363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 15*u - 10.\nAnswer: -5*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 6 = -2*v - f, 12 = -v + 3*f. Solve 1 = 2*l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 15*p**3 + 21*p**2 - 15*p - 18.\nAnswer: -3*(p - 6)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -229e - -2?\nAnswer: -229c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21989646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (141\/(-15) - (-4)\/10). Calculate the highest common factor of o and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.5 or 0.0882?\nAnswer: 0.0882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466354.\nAnswer: 2, 7, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 975*o - 13459. Give c(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 2*k - 20, h + k = -4*h - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*b - 16 - 3, 3*x - 3*b - 6 = 0. Let h(i) = -i - 7*i - 4*i**2 + 34 + 389*i**3 - 9 - 379*i**x. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64224?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 + 49*i - 231. Determine v(5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35263 < 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*a + 4, -5*a - 9 = -2*w - 14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.8.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) - (sqrt(1539) - (2*sqrt(1539) - sqrt(1539)))**2) + -1)*-1.\nAnswer: -36*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 35756 = 33*h. Let y = -30939 - h. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -114*(-6)\/(-8)*-10. Suppose -2163 = -4*q - j. Let y = q + -168. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -11\/20, 0 in decreasing order.\nAnswer: 0, -2\/9, -11\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46079018 + 46079025.0000006. Let t = -7 + d. Round t to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + h**2 - h**2 + (0*h**3 - 3*h**3 + h**3)*(3*h**2 - 2*h**2 - 2*h**2).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, k: 4, d: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 278 = -2*i, 0 = 116*i - 119*i - 3*t + 420. What is the remainder when 965 is divided by i?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 24*g**3 + 7*g**2 - 7*g - 6. Let j(y) = -y**3 - y**2 + y + 1. Let c(n) = a(n) + 6*j(n). Is 5 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:16 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 780*h**2 + 1569*h - 775. Determine c(-262).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 2*h + 5, -10 = 5*h - 4*r. Let s be 39\/9 - h\/(-6). Let i be (1 + 7)\/(2*1). Solve -i*j - s + 20 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 3. Let x be n(3). Suppose x = 5*i - 0*i - 20. Solve 0 = -3*u - 2*h + 13, 8 = 2*u - i*h - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16 = 4*x - 8*x, -3*c + 32 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2385 + -2360. Solve p*a - 12 = 21*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-32)*(-120)\/294*7\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 64 - 4*u**2 - 3*u**3 + 0*u**2 in the form c*u + g*u**2 + o + q*u**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g + 0*g**3 - 77\/4*g**4 + 67 - 8*g**2. Find the second derivative of i(m) wrt m.\nAnswer: -462*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54099, -108198, -162297, -216396?\nAnswer: -270495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 31*v**2 + 41*v + 276. Give p(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-3))\/(((-14)\/3)\/(14*10\/(-105))).\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1)*7\/7434*9. Which is the nearest to -1\/2? (a) p (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**2 + 2*h - 7. Is n(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027178171 rounded to five decimal places?\nAnswer: -0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**6\/120 + 11*s**5\/60 + s**4 - 6*s**3 + s**2 - 6. Let x(d) be the second derivative of l(d). Let x(j) = 0. Calculate j.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 14*i**2 - 29*i + 7. What is s(12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.435536501 take away -0.2?\nAnswer: 15.635536501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 6*m**2 - 4*m - 6. Let h(v) = -2*v**3 + 7*v**2 + 5*v + 7. Let b be 8\/(-12) - 0 - (-10)\/(-3). Calculate b*h(x) - 5*q(x).\nAnswer: -2*x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s - 38. Let j be 13 + ((-5)\/15 - 32\/12). Let c be m(j). Let y = 96 - c. Solve q - 3*t + 0 - y = 0, 0 = 2*q + 4*t + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*o + 12 = 72, -4*d + 48 = 4*o. Let f = 5 + -2. Suppose -14 = -f*t - 2. What is the smallest common multiple of d and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:29 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:56 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n. Let w = -0.9 - 2.1. Which is the closest to -2\/7? (a) w (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 3044863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -2340202.\nAnswer: -2340207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**7\/840 - 7*m**6\/360 - 7*m**5\/120 + m**4\/24 + 20*m**3\/3 - 57. Let j(q) be the third derivative of x(q). Determine j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 18*x - 39. What is s(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m + z, -3*z + 12 - 2 = 5*m. Suppose -m*j - 4*u - 11 = 12, -4 = 2*u. Let c = -4 + 3. What is the closest to c in j, -4\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/40*1)\/((-638)\/(-580)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 - 173*g + 705. Give c(28).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*k + 2*u + 2*u, 2*k + 2*u - 102 = 0. Suppose 4*g - k = 2*g. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-2*sqrt(117) + -4)*1)**2.\nAnswer: 360*sqrt(13) + 2958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 3*w - 13, w - 18 = 3*w + 4*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6372 - -6353) + ((-1479)\/(-78) - 0).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u - 5 + 5 + 0.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 b when three letters picked without replacement from isooieiieosebslesi?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14910\/830 - 18)*(-2)\/(-6). Let o be (8\/(-3))\/(2\/9). Let v be 3*(1 - (-16)\/o). Is i bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/4 + 9*f**4\/2 - 33*f**2\/2 - 45*f\/4 = 0. Calculate f.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + (-1)\/(-3). Suppose 2*s - 2*h - 1 = -s, -2*h - 22 = 4*s. Put k, 17, s in descending order.\nAnswer: 17, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11425.5 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*a**3 - 119*a**3 + 67*a**3.\nAnswer: 119*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 138.9268 millilitres?\nAnswer: 0.1389268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:24 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + ((-2)\/(-1) - (-39)\/(-13)). Let y be 1\/15 + r\/(-10). Let u = -1478\/9 + 164. Which is the third biggest value? (a) -5 (b) u (c) y (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + (3 - 1 - 8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by -289?\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 + -195 - ((2 - (6 - 9)) + -38)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7*s - 5 + 0.\nAnswer: 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(320) + 0) + 1 + -1 + sqrt(320) + -2 + 5 + ((sqrt(315) - sqrt(35))\/sqrt(7) - sqrt(5)) + sqrt(500) + ((sqrt(500) + -1)*4)**2.\nAnswer: -269*sqrt(5) + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2872*r**2*u**3 + 2*r*u**3 - 116*r*u**2 + 2*r wrt r.\nAnswer: 5744*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24.0848 + 0.11\nAnswer: -23.9748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-121)\/1056*-112\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Let l = s - 0. What is the third derivative of -2*c**3 + 4*c**3 + c**l - 3*c**2 + c**2 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 - 3*m**2)*((0 + 0 - 2*m)*(-1 - 3 + 2) + m - 5*m + 2*m) + 0*m**3 - 16*m**3 - 2*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 53\/252?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 11011?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -20, -44, -68?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) + (-11214)\/(-8694)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6. Suppose -10*u = -9*u. Give y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 570 = -570. Put g, 5, -35, -4 in decreasing order.\nAnswer: 5, g, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101\/(-101))\/((-10)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30942017 smaller than 30942018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n**(-3)\/n*n)))**(-6\/23)\/(n**(-35)\/(n*n**(2\/17)\/n)) assuming n is positive.\nAnswer: n**(13935\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*n*r**2*y + 6*n*r**2 + 180*n*r*y - 85*n*r - 4*n - r**2*y wrt y.\nAnswer: -94*n*r**2 + 180*n*r - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31465 is divided by 4491?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541224 is divided by 406?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17948819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 925974806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*sqrt(33)\/sqrt(3))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322 is divided by 145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/20 + 2*f**5\/5 - 9*f**2. Find the third derivative of u(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i**2 - i. Let g(x) = -40*x**2 + 2*x. Suppose 2*h = -5*o + 12, 112*h = 107*h - 2*o - 12. Determine h*g(v) - 11*r(v).\nAnswer: 17*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, 2, -12, -6, 1 in increasing order.\nAnswer: -12, -6, 1, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000518875 rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 + q + 1. Let s be (-15)\/(-2) - 2\/(-4). Is m(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb64 (base 14) in base 11?\nAnswer: -49254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 581 + -577. Solve -c*a - 15 = h, 7*h - 2*a = 2*h + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(1 - 1 + 2*i**3)*(148*i**2 + 157*i**2 - 370*i**2).\nAnswer: 130*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1 + 0 + 5*y - 1 - 4*y**2. Suppose 277*k - 276*k = -4. Let z(w) = -w**3 - w**2 + w. What is k*z(s) + b(s)?\nAnswer: 4*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -3)*((-4)\/(-10))\/1. Let w be (k - 3)*-3 + 34 + 3. What is the greatest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 2}. Give prob of sequence enn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7736103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 285*w**3 + 505*w**2 - 1190*w + 575. Let n(v) = 23*v**3 + 42*v**2 - 99*v + 48. Let y(g) = 25*n(g) - 2*s(g). Factor y(p).\nAnswer: 5*(p - 1)**2*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938550.88 times -2?\nAnswer: -3877101.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-45))\/((-52)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14389471757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/25 and 16\/575?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 2*u**3 + 4*u**2 - u**2 - u**3.\nAnswer: u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -835 + 839. Solve d = -b - 2*c, -3*b + 0*c + 3 = c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 80 = 28. Let r(a) = -a**3 - 7*a**2 - 2*a - 4. Calculate the remainder when s is divided by r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410, -1646, -3706, -6590, -10298?\nAnswer: -14830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x - 12. Let n be i(5). Suppose 41 = 5*g - 4*q, 0 = g + g - 5*q - 30. Suppose 0*w = g*l - n*w - 226, 3*w - 38 = -l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-2*3\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*p = -21, 127*p - 128*p = -3. What is the nearest to 0.1 in -3\/2, 69, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7131070 divided by 5\nAnswer: -1426214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 138. Let j(i) = -2*i**3 - 15*i**2 + 28*i + 11. Let m be j(w). Solve 3*d + 13 = -2*d + m*a, 4*d + 2*a - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b1b7 + -16?\nAnswer: 1b1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7 = 4*z, -68*z - 9 = -63*z + r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -679 - -439. Let l be (-6)\/5*f\/(-36). Let z be (3 + -6*1)*l\/(-12). Which is the nearest to z? (a) -0.2 (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 divided by 5?\nAnswer: 303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538773 = 394*q - 574627 for q.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -6\/31 (b) -1 (c) -2\/15 (d) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46, -2.4, 9\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.866899 + 2.1268944. Let g = l - 0.26. Round g to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a**(5\/3))\/a*a*a**(-1)*(a*a\/(a**(-14)*a))\/a**(-4\/3) assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 f when three letters picked without replacement from {f: 4, h: 2, g: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22081 is divided by 2755?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-15)*u**(3\/2)\/((u\/(u*u*u**1)*u)\/u) assuming u is positive.\nAnswer: u**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21. Let q = 129 + -125. Which is the closest to r? (a) q (b) -1.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 14 + -15 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 5*n**4 + 0*n**4 + (-4*n**2 + 6*n**2 + 0*n**2)*(0*n + 0*n + 2*n**2) - 2*n**4 - 5*n**4 + n**4.\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121 (base 3) to base 9.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258486784 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1176758*r**6 - 2*r**2 + 72*r + 226 wrt r?\nAnswer: 141210960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 36*n + 37*n + 5, 2*b + n - 10 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1587 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 205, -11, -5 in decreasing order.\nAnswer: 205, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c0d (base 16) in base 15?\nAnswer: -351c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5778.28 decades?\nAnswer: 57.7828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 4*l**2 + 4*l**2)*(3 + l - 3) - 510*l**2 + 0*l**5 + 2*l**5 + 271*l**2.\nAnswer: 6*l**5 - 239*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*z**2 - 363*z**2 + 737*z**3.\nAnswer: 737*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368, -2954, -9988, -23696, -46304?\n\"Answer: -371*i**3 + 2*i**2 + 5*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80, 4, -4, -51 in decreasing order.\nAnswer: 4, 3, -4, -51, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*i - 1750 = -99*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2560 + -2307.3. Let l = r + -253. Put 1, l, 1\/2, -5 in ascending order.\nAnswer: -5, l, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.392 rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -36*o - 7. Let z = 14 + -41. Let x = z + 25. Is s(x) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd5 (base 14) to base 11.\nAnswer: 19a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138772, 277528, 416268, 554986, 693676, 832332?\n\"Answer: -c**3 - 2*c**2 + 138769*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 5 + 0*u - 2*u)*((-u + 0*u - u)*(5 + 0 - 4) - u - 3*u + 3*u + 2*u - 2*u - 7*u + 0*u + 3*u - 6*u).\nAnswer: -26*u**2 - 65*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50, 78, 104, 128?\n\"Answer: -s**2 + 31*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiihhiiihihhhi. What is prob of sequence hi?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54795 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 219*r + 2050. Let p(a) = 4*a**2 - 222*a - 2050. Let b(i) = 3*p(i) + 2*t(i). What is the derivative of b(q) wrt q?\nAnswer: 4*q - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14544 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412929 and 5148.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 5*d**2 - 32*d - 276. What is the remainder when a(-7) is divided by 278?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 9*r**2 - 10*r + 13. Let d be n(8). Let h be 186572\/(-279072)*d + 1\/(-4). Let l = h - 105\/323. Calculate the common denominator of -35 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/213705 (b) 0 (c) -5.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-197*o - 571*o - 131*o)*(-2*o + 6 - 3 - 5) in the form d + l*o**2 + b*o and give l.\nAnswer: 1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13441 less than or equal to -5\/1068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 + 130 + 0*w**2 - 215 + 2*w**2.\nAnswer: 2*w**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3706 - -114393. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12347 is divided by 1214?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11547 + 11564 = -483*t - 8458 + 4038 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) + -4 + 2. Let v = f + 2. Let b(o) be the second derivative of -3*o**3\/2 - o**2\/2 - 46*o. Give b(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 at most 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*s + 15, -127*s + 120*s - 3*b = 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509896124?\nAnswer: 2, 127474031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**2\/2 - 4*m + 51. What is d(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(896)*-6)\/(((sqrt(96)*-1 - sqrt(96))*-1 - sqrt(96))\/(sqrt(192)*-1 + sqrt(12))).\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1603 and 329531?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 + 3. Let k = w - -0.4. Let x = k + 1.3. What is the third biggest value in x, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1877228*f - 3754466. Give c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*a = 2*o + 6, 0 = 2*a - 6. Suppose z = -5*y + 702, 4*z = -o*y - 2*y + 708. Calculate the greatest common divisor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 2. Let g be v(1). Suppose 2 + 93 = g*f. Solve q + f = 5*c, 0 = 5*q - 2*q + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008993659 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/25*10\/4 + -1. Let k(f) = -f**x + 10 + 6 - 16. Let t(d) = -14*d. Give k(t(b)).\nAnswer: -196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -1\/3*s**4 + 141*s + 0*s**2 + 0 + 8*s**3. Factor h(c).\nAnswer: -4*c*(c - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {c: 1, n: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25275*o - 12621*o + 754 = 12625*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17882*k**3*r**2 - 104*k**3*r + 3*k**3 + 3*k**2*r**2 + 45010*k**2 + 4*r wrt k?\nAnswer: -107292*r**2 - 624*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouou. What is prob of sequence uou?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003796 to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001152 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182 - 29. Let k = 285 - h. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2130.\nAnswer: 1\/1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464670*a**3 + 929337*a**3 - 464668*a**3 + a.\nAnswer: -a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7315 and 627?\nAnswer: 21945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 240\/(-25) + 12 - 156\/15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z + z**4 + 3*z**2 - z**2 - 2 - 3*z**4 as o*z**2 + d*z**4 + m*z + u + t*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3. Let f(m) = -m**3 + 2*m**2 + 2*m + 1. Let d(l) = f(l) - 2*t(l). Give d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -4 (c) -2\/11 (d) -0.2 (e) 2 (f) 7\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1498 + -110386\nAnswer: -108888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522939204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73, -127, -169, -193, -193?\n\"Answer: m**3 - 61*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9031381 decades in years?\nAnswer: 9.031381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171) + -4 - sqrt(171) - ((sqrt(171) + 1 - sqrt(171)) + sqrt(171))*-4)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i**2 - 3*i + 3. Let d be t(2). Let q be (-3 - d) + 0 + 0. Suppose a - 175 = -2*f - 3*f, q = -4*a. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83079\/6154*(-1)\/54*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 7 + -4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*k + 14 = 3*t, -3*k - 6 = -3*t. Suppose -3*r - 2 = -t*r. Suppose 0 = 5*s - r*s + 3. Let d(v) = -10*v**3. Calculate d(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 362 - 362 - 6*l**2 - 2*l**2 + 3 - 3 + (0*l - 2*l + 4*l)*(l + 2*l - 4*l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-84)*7\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3662058 divided by -12086.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1020)\/((-30)\/6)*(-4)\/(-3) and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221425.8 + 0.5?\nAnswer: -221425.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12228 and 175452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 + 2*y - 10. Give f(7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -3\/2*y**2 + 0*y**5 + 0*y + 0*y**4 - 3 - 2\/3*y**6 + 0*y**3. What is the second derivative of w(s) wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 3 + 18 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 34, 42, 50, 58, 66?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*o - 2*l, 5*o = 4*l. Suppose -6*g - 47 = -83. Suppose 1 = 3*f - 14. Solve o = q - g*q + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34431719*g**2*h + 19270580*g**2 wrt h?\nAnswer: 34431719*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -28*y + 2*m + 4, -7*y + 5*y + 5*m = 42 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6540, -13063, -19578, -26085, -32584, -39075?\nAnswer: -45558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1030?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4 + 12392*g**3 + 9597604*g**2 = 0.\nAnswer: -1549, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 233? (a) 5 (b) 4 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from xxxxxcxxcc?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 - 3*p - 14. Let q be n(6). Let x = -5 - -4.6. What is the second smallest value in q, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -73 + 119 + (-5 - -1) - 2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7073 is divided by 95.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + (-4098)\/(-21))*266?\nAnswer: 2, 3, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18087, -3\/7, -0.1, 1, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/11 + 841*v\/11 - 21190\/11 = 0. Calculate v.\nAnswer: 26, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 5203?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose -u - p = -10. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1776096.\nAnswer: 8880480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 602840\nAnswer: -1\/150710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**3 - 2*x**2 + 1. Suppose 0*t + 4*t + 8 = 0. Let i be o(t). Let w = i - -17. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - (-5 + (-9)\/(-2))*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1097 - 647. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -852*n**2 + 18*n**2 - 1510 - 610*n**2 + 3648*n - 88*n**3 - 794 - 2*n**4 + 190*n**3.\nAnswer: -2*(n - 24)**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0 - 7 - 4 + 2*k - 2. Let u be g(8). Suppose -2*f - u*f = -5. Solve 3 = s + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 36. Let j be ((-8)\/(-3))\/4*v. Find the second derivative of -4*h**4 + 6*h + 0*h**4 + j*h wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/3*837\/558)\/(24\/312).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112010010021 (base 3) in base 13?\nAnswer: 99601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55532 + 87489. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/((-1)\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5672117481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9186753*u**2 - 127408*u + 23 wrt u?\nAnswer: -18373506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6454926, -6454840, -6454754?\nAnswer: -6454668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1205, -1229, -1267, -1319, -1385, -1465?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -619 (base 10) to base 7\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 32 + -35 + (-4 + -85 - 0)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/23 (b) -5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021.06 microseconds in nanoseconds?\nAnswer: 3021060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 70150*v**2 + 18*v - 35077*v**2 - 35075*v**2 to h + s*v + y*v**2 and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*((6*sqrt(363)*2 - sqrt(363) - ((sqrt(363) + 1 - sqrt(363)) + 2 + sqrt(363) - sqrt(363))) + -2 + -1)**2.\nAnswer: -263754 + 8712*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/5 + 4086*l**3\/5 - 2080782*l**2\/5 - 6279174*l\/5 = 0 for l.\nAnswer: -3, 0, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhjhjhjcjh?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 12970904?\nAnswer: 12970904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z - m, -z + 5*m = -4*z - 22. Let r(y) = 2*y**2. Let j(k) = -k**2. Determine z*r(f) - 6*j(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 8. Let p be s(-4). Let t be (-3)\/5 - p\/5. Suppose 0*h - 5*h - 9 = -3*w, t*w - 55 = -5*h. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.82 + 1.81. Which is greater: j or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/(0 - -1). Let r be (-2)\/(-2) - (s - 7). Let a(d) = 4*d + 11. Is a(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 147823. Let v be n(0). Let j = v - 66823. Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7818275 and 1840?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -7*y**3\/3 + 5*y**2\/2 - 5*y + 2. Let a(s) = -3*s**2 + 2*s - 2. Let k = -535 + 537. Calculate k*b(u) - 5*a(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18344072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.0364 - -0.0864. Let s = -31 - c. Which is bigger: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - m + 625 = 0, 8*m - 20 = 3*m. Let v = 296 - n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 182?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.398487 litres to millilitres.\nAnswer: 5398.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*g + 2, -6*a - 298*g + 296*g = 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -0.7 (b) 4 (c) -2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/20)\/(6030\/60).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnr when three letters picked without replacement from nnnnnrnrrnnnnn?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 + -236. Suppose -x = -3*z + 61, -4*z - f = -2*x - 131. Which is bigger: -57 or x?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-28))\/(5\/35). Suppose p*f - 5*f - 40 = -5*b, b + 2 = f. Find x such that 30\/7*x**3 - 15\/7*x**f - 12\/7*x**2 + 6\/7*x**4 - 15\/7*x + 6\/7 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 = -3. Suppose -m*f = h - 9, -h = -4*h - 2*f + 17. Suppose 0*s = -11*s + s. Are h and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x**2 - 9*x. Let t = 23 - 14. Suppose 2*s + 55 = s - 4*h, 0 = -s + h - 45. Let z = -45 - s. Let g(q) = 5*q**2 + 2*q. Calculate t*g(o) + z*f(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 + -1113011?\nAnswer: -1120131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48816714.\nAnswer: 2, 3, 61, 133379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*y + 2*y**3 - 18*y + (-4*y**2 - 1 + 1)*(-3*y + y + y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*u - 21, 4*j + 0*j - 21 = -3*u. Let s be (j\/(-9))\/((-2)\/18). Let 0*z - 12 - 3*z**2 + 5*z**2 + 4 - 8*z + 2*z**s = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2 + 476*a - 1945. Give x(57).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 7159 = -294*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or -128?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4)*424\/((-60)\/15). Let d = 828 - k. List the prime factors of d.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/10)*f\/(f**(-4)\/f))\/(f**(-1)*f**(3\/7)))**(-2\/13) assuming f is positive.\nAnswer: f**(-467\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/8 - u\/8 - 105\/2 = 0?\nAnswer: -20, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3214591 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w - 3. Let c = -1 - -1. Suppose c = 6*q - q + 10. Determine d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218 is divided by 686.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43204300 to the power of 1\/2, to the nearest integer?\nAnswer: 6573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -477 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from {k: 5, d: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(-2*f + 6*f - 3*f)*(-3*f - 6*f + 5*f) + 0*f - 3*f**2 + 0*f.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p. Suppose 3*y = -0*c + 3*c, p = -3*c + 2*y + 5. Sort -1\/7, c, 3 in decreasing order.\nAnswer: c, 3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -80, -36, 8?\n\"Answer: 44*a - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30*7\/((-175)\/(-15)). Suppose -5863 = 5*s - w*s. What are the prime factors of s?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-2 + 1)*3. Suppose 0 = -d*b - 6, b = l + 4*l + 2. Does 18 divide 6*(l - -4*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {e: 1, u: 3, k: 3, o: 2, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2183*l**2 + 84857*l**4 - 84855*l**4 - 1802*l**2 + (l**2 - l**2 + l**2)*(-l**2 + 2*l**2 + 0*l**2) + 4*l**4 - 4*l**4 + 2*l**4.\nAnswer: 5*l**4 - 3985*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let r be (15\/(-3))\/(3 - 2). Let w = 4\/49 + -134\/441. What is the third smallest value in r, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1. Let i(u) = 6*u**2 - 10*u - 24. Let s(b) = -i(b) + 2*n(b). Let q be s(-4). Let w = 226 + q. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 346662 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4988097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 303.\nAnswer: 302.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -1.7. Let u = 1246.5 - 1246. Which is the nearest to u? (a) 4 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28492 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - ((-436)\/4 + -7). What is the greatest common factor of 1625 and m?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1999, 1997, 1993, 1987?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 121*h + 119*h - 256*h.\nAnswer: h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5461, -6\/11, 4\/3.\nAnswer: -5461, -3, -6\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -531, -796?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21473 + -21485. Which is the closest to -0.1? (a) -5.7 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11974\/227173 - 36\/619. Let x = r + 29009\/2936. What is the common denominator of x and 33\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1782, 2063, 2344?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338\/249 + -42691\/18426. Let c = -283\/5 + 4263\/80. Find the common denominator of c and p.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -30a3aa?\nAnswer: -30a3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*x - 3\/7*x**2 - 336.\nAnswer: -3*(x - 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - (sqrt(119) + (sqrt(119) - 2*sqrt(119))*1) - sqrt(119)))\/(sqrt(7)*2*-3) + -5)**2.\nAnswer: 5*sqrt(17)\/3 + 917\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9921634?\nAnswer: 2, 101, 49117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-80)\/8)*3\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72632332 a multiple of 1591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16790 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1539))**2 + sqrt(19) + -6*sqrt(19)*2 + (sqrt(95) - (sqrt(95) + (sqrt(95) - -1*-2*sqrt(95))))\/(sqrt(125)*-6).\nAnswer: -3078 - 331*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2602*w - 13019. Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 4 (b) -2\/6665 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 500792393 from 3002.\nAnswer: -500789391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)\/(sqrt(16)\/sqrt(2))*-1)\/((sqrt(800)*-2 + sqrt(800))*-2) + -3)**2.\nAnswer: 3*sqrt(7)\/10 + 3607\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53400 = -12*h + 6*h. What is h rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -39.5. Let o = m + -15. Let w = 1\/36 - 5\/18. Which is the smallest value? (a) w (b) 1\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 51\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*n + 10 - 19, y + 3*n + 3 = 0. Let o be -7 + (1056\/(-4))\/y. Put 2, o, 3 in increasing order.\nAnswer: 2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 - -153. Suppose -n*d + 1703 + 1971 = 0. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -261*z**3 - 3896202*z**2 - 14540558688*z + 334267776.\nAnswer: -3*(z + 7464)**2*(87*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3\/(-12))\/(2\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 236*j**2 + 11*j. Let n be v(3). Suppose -2608 - n = -5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 1016 - 166. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10823947 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 1\/10*r**2 - 1\/20*r**4 + 1\/15*r**3 - 8 - 1\/25*r**5 + 0*r. Solve i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -681, -549, -345, -69?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*f**3 + f - 237*f**3 + 2 - 7*f**2 + 118*f**3 as s*f**2 + p*f + k*f**3 + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - (3 + -1 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19584 and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 1535, 5598, 13511, 26558, 46023, 73190?\nAnswer: 109343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26156, -13, -5, -16.\nAnswer: -26156, -16, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1155\/4 + 289. Let f = 12.1 + -12. Which is the closest to 0? (a) t (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 20*w**2 + 33*w + 57. What is o(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:14 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 17 = -z - 3*g, 0 = -z - 2*g + 12. Suppose -16 = -z*n + 98. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 119 = -5*p, -129 = -2*d - 1638527*p + 1638522*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:51 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - (-21522)\/(-17))*(105385 + -1). What is v rounded to the nearest 1000000?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767798 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + -4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5 = 5*b. Suppose b = -5*k + 91. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b538 (base 13) to base 2\nAnswer: -1101000101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1)\/(4 + (-26)\/6). Suppose 12*z - f*z - 3 = 0, 4*j - 3*z - 85 = 0. Calculate the remainder when 87 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976152690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let l = -0.9 + 0.6. Let o = -4.7 + l. What is the closest to -0.1 in s, o, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttttthttttttttt.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13294448.\nAnswer: 2, 883, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 4, -1\/3, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2960 and -107\/109520.\nAnswer: 109520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 0*t**3 + 0*t**2 - 1\/4*t**4 - t + 8. What is the first derivative of p(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77687025*h - 70473098?\nAnswer: 77687025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -262*o**2 - 2*o - 1067. Let h(i) = 2*i. Determine h(w(q)).\nAnswer: -524*q**2 - 4*q - 2134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - 3*sqrt(16)\/sqrt(4))\/(sqrt(18)*-2) + sqrt(88)\/(sqrt(11) - (sqrt(704) + (sqrt(704) - -1*sqrt(704)))))**2.\nAnswer: 578\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.485 times 452575\nAnswer: 219498.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + 35\/20. Suppose -3 + 11 = r*n. Suppose 4*a + 0*h + 3*h - 18 = 0, 2*a - 14 = -n*h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92189 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 98.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(-9)\/48 - 3. Let j(i) = -i**3 + i**2 + 2*i - 1. Let s be j(1). Let n = -0.02 - -0.22. Which is the closest to s? (a) n (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/8 - 55*a**4\/4 + 619*a**3\/2 + 4049*a**2\/4 + 8323*a\/8 + 703\/2.\nAnswer: (a - 76)*(a - 37)*(a + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*w + 390*w + 3852*w**2 - 146*w.\nAnswer: 3852*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -1, -1\/7, 32240?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 4359 and 4065 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18050.3 from 119269.\nAnswer: 101218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -913, -907, -897, -883, -865, -843, -817?\n\"Answer: 2*n**2 - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*400\/(-50)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 109130 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368862 is divided by 579?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -178, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p - 11. Let t(y) be the third derivative of y**5\/60 + y**4\/2 + 2*y**3 + 12*y**2. Let o be t(-10). Give g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*l = 98 + 382. Let t(b) = -6*b**3 - 6*b**2 + 14. Let r(s) = -2*s**3 - 2*s**2 + 5. What is l*t(g) - 11*r(g)?\nAnswer: -2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - -2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 13*d - 360. Let b be k(-27). Calculate the lowest common multiple of 1 and (14 + -7 - 9)\/((-2)\/b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*r**3 - 22*r**3 - 19*r**3 - 4*r**3 - 2*r**3 + 4*r**3 + (-4*r**3 + 0*r**3 + 2*r**3)*(3 - 1 - 1) + (0*r**2 + 2*r**2 - r**2)*(-49 + 49 - 51*r).\nAnswer: -59*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 8*h + 14. Let n be g(7). Factor m + 3*m - n*m - 9*m + 8*m**2.\nAnswer: 4*m*(2*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*w + 10, 3*w - 2 = -w - 3*l. Suppose 5*j + 2*k - 31 = 0, -2*j + 11 = -j + w*k. Suppose p = 4*m + 7, 3*m - 5 = -j*p + 7. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*b + 1\/5*b**5 - 4\/5*b**4 + 4\/5*b**2 + 2\/5*b**3 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4548\/13 + 350. What is the closest to 0.04 in -4, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 + b**2 - 3*b + 2. Let o be l(1). Let t(w) = w**2 - 17*w - 3. Let q be t(o). Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22555 - 11966. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -9*t - 3. Suppose t*c - 8 - 15 = 2*o, 2*c - 14 = o. Suppose 0 = -b - c, 3*b = -s + 2*b - 4. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21538586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yox when three letters picked without replacement from {i: 2, z: 1, x: 2, m: 1, o: 1, y: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*t**3 - 269*t**3 - 26*t**2 + 26*t**2 - 264*t**3.\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*v - 0*v + 28, -3*j + v + 8 = 0. Suppose -8 = -8*o + j*o. Is o\/(-6) + 8384\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, -4, 3\/1954315?\nAnswer: 3\/1954315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 8*h - 10. Let p be x(-3). Let r be (-13965)\/(-21) + 2 + p. Calculate the greatest common factor of r and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**3 - p**2 + p + 1. Let i(x) = 35*x**3 + 12*x**2 - 4*x - 8. Let h(o) = i(o) + 6*l(o). What is h(7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 + 696*y**2 - 60552*y = 0. Calculate y.\nAnswer: 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 7:27 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((10\/2)\/5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, k: 10, l: 1}. What is prob of sequence flf?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45909161 rounded to 3 decimal places?\nAnswer: 1.459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 times -56736?\nAnswer: -16623648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 u when four letters picked without replacement from {o: 13, u: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -293 * -0.2\nAnswer: 58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**20)**(3\/26) assuming u is positive.\nAnswer: u**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6092, -6084, -6064, -6026, -5964?\n\"Answer: c**3 + c - 6094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:31 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 736651 * 0.1.\nAnswer: 73665.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 289, 613, 1075, 1681, 2437, 3349, 4423?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3844)\/60 + 113*74\/125430.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82221466650 to the nearest one million.\nAnswer: 82221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 8*a - 11. Determine o(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 417103 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-64)\/16 - 11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000677 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3512 is divided by 292.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = -0*z. Sort z, 1\/8, -4, 3 in decreasing order.\nAnswer: 3, 1\/8, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1))**(-20)*((u\/((u\/(u**(-2\/33)\/u)*u)\/u))\/u*u)**8 assuming u is positive.\nAnswer: u**(-1600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 792 - 424 = 45*w + 7*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-21 - (10 + (34 - 23))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1 - 1) + 346 + -353.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 7366793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3743259\/107 or -34985?\nAnswer: -34985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.4526, -17, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 - 5*k**3\/6 + k**2\/2 + k. List the prime factors of i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 + 19*j**2\/2 + 9*j. Let n be r(12). Suppose -i = n*i - 2344. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5006, 301, -1, 5 in descending order.\nAnswer: 5006, 301, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 + 10340*u - 10338 = 0.\nAnswer: 1, 5169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-20))\/((-1)\/4). Suppose v*f = 26 + 4. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 107. Suppose 4*q + 2*a - 122 = 0, c = -7*q + 2*q + a + 163. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + z + 2*z = 31 + 12 - 19, -45*n - 120 = 3*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 14) in base 8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, k: 2}. What is prob of sequence ttt?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 17.725.\nAnswer: -0.655825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(1 + 0 + 0).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 13*k**2 - 12*k + 31. Let j be u(14). Suppose -j*q + 64*q = 0. Suppose 2*o - 3*l = -q*o + 380, -2*l = o - 204. Is 34 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568 = 9*a - 4*t, -185*t + 202 = 3*a - 180*t for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(11) + 4*(sqrt(21)\/sqrt(3))**2.\nAnswer: -sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/116 - 2330*29\/4205.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*d**2 + 36*d**2 - d - 2*d**3 + 3*d**2 + 2*d**4 + 79 - 282 in the form l*d + q*d**4 + f*d**3 + b*d**2 + i and give i.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r + 5. Let x(d) = -d. Let t(q) = f(q) + 3*x(q). Let m = 32 + -18. Let p = 10 - m. Calculate t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-4)*(1 + 1). Let x be (-15)\/q*(-15 - 0). Suppose -d + x = -8. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126172439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30866 + 30872. Solve -17 = c*w - 47 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/5 + 3721*u**2\/5 + 37289*u\/5 + 78351\/5 = 0.\nAnswer: -7, -3, 3731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136647308 - -1?\nAnswer: 136647310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 3*f**4 - 5*f**4 + ((3*f + 0*f - 4*f)*(4 - 2 - 4) + (-4*f + f + 0*f)*(2 - 4 + 4))*(3*f**3 - 2*f**3 + 0*f**3).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36929737489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 - 1.6. Which is the third biggest value? (a) u (b) -2\/11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -1 + (2 - (16 - (-12 + (13 - -10)))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(19)*-2)**2 + sqrt(1216) + ((sqrt(1216) - (-2*sqrt(1216) - sqrt(1216)))**2 - sqrt(1216)).\nAnswer: 19536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (32\/(-40))\/(6\/(-45)) + (75693 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.8 in -5, 2\/5, -0.09, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/220*-1)\/((-4)\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, z: 1, f: 2, v: 1, e: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:01 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 - (-34 + 35 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34 - -2728?\nAnswer: 2726.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 228942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**3 - 63*z**2 + 18*z + 58. Let r be b(-5). Solve -r*w = -50*w - 128 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/2107 and -59\/98?\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 251, 278, 379, 578, 899, 1366?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-6)*1*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/8)\/(p*p*p\/(((p*p**(1\/29))\/p)\/p)))\/(((p\/(p*p**(10\/11)))\/p)\/p*p*p**7))**(-1\/19) assuming p is positive.\nAnswer: p**(21517\/48488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 45\/(-35) + (1 - 1). Let u = 1 - 1. Sort -0.2, a, u in ascending order.\nAnswer: a, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 45*l + 87. Let w be z(42). Calculate the common denominator of (-130)\/w*(-16)\/(-60) and -1\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4359*z - 29 - 4359*z - 4*z**3 + (-5*z + 2*z + 0*z)*(-3 + 3 - 2*z**2))*(0 - 1 + 3)*(-1 + 8 + 6).\nAnswer: 52*z**3 - 754","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 + h + 9. Suppose -2*i + 2*u - 16 = 0, 7*i - 2*i = -2*u - 33. Let r be s(i). Let n = 3 - r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/11 + 7846*y**3\/11 - 1240124*y**2\/11 + 29077472*y\/11 + 30325440\/11 = 0. What is y?\nAnswer: -4076, -1, 30, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 1. Let l(r) = -11*r + 4. Determine 17*g(d) - 6*l(d).\nAnswer: -2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 35. What is the remainder when 48 is divided by v(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*o - 363*o + 89*o + 91*o + 86*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 5}. Give prob of picking 2 t and 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -5 + (20 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/81)\/(w\/(w*w\/(w**(7\/10)\/w*w)*w*w)*w)*w**(-4\/7)\/(w\/(w*(w**47\/w)\/w*w)) assuming w is positive.\nAnswer: w**(265091\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9)*3\/(-2). Let i(m) = -4*m**2 + 5*m**3 + 3*m**2 - 4*m**3 - 5*m**3. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27639 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - 3*d. Let l(p) = -16*p**2 - 10*p. Let r(b) = 6 + b**2 - 2*b**2 + b - 2 - 2. Let z be r(-3). What is z*v(c) + 3*l(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2827 divided by -160822?\nAnswer: 2827\/160822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 1 + 250 + -249?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*u = 115, 4*u = 3*t - 2*t - 127. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49937 minus 13.156896?\nAnswer: -14.656266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1945*z = -1892*z + 1725 + 130 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 11*y**2 + 3*y - 11. What is the remainder when 151 is divided by z(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147579771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7*s, u - 3*s = 349. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4299*v - 4897?\nAnswer: -4299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 4*z - 5. Calculate i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let o(w) = 0*w**3 + 3*w - 1 + 2*w**2 - 3*w**3 + a*w**3. Let t be (4\/6)\/((-4)\/(-18)). What is o(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2373\/43 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 526 - 310. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -6.293622.\nAnswer: 18.880866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31428 + -17882. What are the prime factors of q?\nAnswer: 2, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:00 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*i = -16, 177*r - 187*r = 3*i + 72 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32238*v**4 + 11376 wrt v.\nAnswer: -128952*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 5. Solve -2*h - 8 = 0, 0 = 2*w + h - 3 + n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (42 - 85)) + -24\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13140 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b2 - -4?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-64)\/12 - (-4212)\/360) + -13\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 30 = -5*k. Let x be (-5)\/(-1)*k\/(-25). Solve 3*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002028 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/10*4*60\/(-96). Solve 5 = n - p*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/3 + 260*p**3\/3 + 8450*p**2 + 21*p. What is c in x(c) = 0?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*u - 7, -4*u + 1 = -3*h - 25. Let p be (7\/77)\/(1\/u). Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {v: 3, t: 1, j: 4, u: 2, y: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 146 + 140 = 313. Solve -2*o + j = -3, -7*j = a*o - 0*j - 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) - (-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((155\/(-310))\/(1\/(-5)))\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f - 4. Let q(m) = -7*m + 3. Give -4*q(a) - 5*t(a).\nAnswer: -2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367519.7 nanograms in micrograms?\nAnswer: 367.5197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 77*v + 63*v + 3.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1566362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 23, -0.5, 5, -51, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3884.08879123 - -3934.088791. Let o = 29 - -21. Let w = o - c. What is w rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276 a factor of 157585667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -81756.41 and -4.6.\nAnswer: -81761.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*d - 14, 67*d - 62*d + 4*i + 6 = 2*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from yrmdm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 100*d - 2*d**2 + 100*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8753 + -8688. Solve -l*c - 12 = -68*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o*o\/(o\/(o*o\/(o*o\/(o**(-14)*o)))*o)*o)\/o)*o*o\/(o**13\/o))**(-3\/7) assuming o is positive.\nAnswer: o**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/6)\/(1\/3). Let a(w) = 16*w**3 + 4*w**2 + 10*w - 6. Let i(r) = 59*r**3 + 12*r**2 + 39*r - 24. Let n(u) = 11*a(u) - 3*i(u). Is n(m) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 80, 0, 2\/195 in decreasing order.\nAnswer: 80, 2\/195, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34092587 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*c + 37042 = 0, 0*c - 5 = c. Suppose -s = -21*h + 11301. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2001*d. Let w(x) = -25*x. Suppose 2*b + 2 = -0, -8*c = 5*b + 21. What is c*p(u) + 161*w(u)?\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/818059 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -46, -39, -32, -25?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -18 - (-107 + 118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/11)\/d)\/d)\/d)**(10\/7)*d**9*d\/d**(2\/5) assuming d is positive.\nAnswer: d**(278\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + -70. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4423295*f**3*o**3*w - 4*f**3*o**2*w + f**3*w + 16*f**3 - f*o + 4 wrt o?\nAnswer: 26539770*f**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -30*g - 1. Let p be d(-3). Let a be -1*(-1 + p)*-1. Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -309, -313, -317, -321?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.55 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-362)\/181)\/(1*3\/36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 + q + 61. Let r = 100 - 100. What is the tens digit of y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.9. Let f = t + -1. Let l be 16\/(-28)*2\/4. What is the closest to f in l, 4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 + 19*g**3\/2 - 32*g**2 - 42*g.\nAnswer: -g*(g - 14)*(g - 6)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + 46. Let g = j - -42.99924. What is g rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. What is the third derivative of -3*k**4 + 4*k**2 + 4*k**i + 11*k**4 wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:21 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*sqrt(64)\/sqrt(2) + sqrt(1152)*-2*-1 + 3.\nAnswer: -48*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(4131) + ((sqrt(4131) + -2*sqrt(4131) - sqrt(4131) - sqrt(4131) - sqrt(4131))*-4 - sqrt(4131)) - sqrt(4131))\/(-1*sqrt(108)*-5)).\nAnswer: 6 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16512 - -16517. Solve 0 = g*j - 2*t + 31, 45*t - 44*t = 4*j + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 - 1 + 1 - 7*s**2. Let g = 25 + -18. Let i(w) = -2*w**2 - 7 + g. What is -6*c(b) + 34*i(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (344*k + 401*k - 622*k)*(k**4 + 6*k**2 - 6*k**2 + (2*k**4 + 1 - 1)*(-1 + 1 - 2) - 5*k**4 - 4*k**4 + 2*k**4).\nAnswer: -1230*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42568*y - 43882*y - 84609*y.\nAnswer: -171059*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 552 + -350. Let l = q + -45. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27207 - 9497*c - 13615 - 13592 to r*c + x and give r.\nAnswer: -9497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/(-42) + 122\/14 + 3340218\/(-370344).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 340017, 680033, 1020049?\n\"Answer: 340016*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -952 - -951.9999972875. What is o rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455 < -1433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 74, -5, -81, 5 in increasing order.\nAnswer: -81, -5, -3, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 5*p**4\/2 - 5*p**3\/6 - 13*p**2. Is x(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*r + 53 + 94 = 0, 0 = 4*o + 6*r - 132. Calculate the remainder when 107 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 27. Suppose 4*j = -w + 60. Calculate the remainder when -5*(-408)\/60 - 7 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9389021 to 3 dps.\nAnswer: 3.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/770 and -13\/420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 6 (c) 34 (d) 22 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1859 - 0.13\nAnswer: -1859.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(11) + -1 + sqrt(11)) + sqrt(11) + -3 + (2*sqrt(44)*-2 - sqrt(44)))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -5\/8*c**4 + 0*c**3 - 3*c + 0 + 8*c**2. Let v(i) = -2*i. Determine f(v(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 divided by -884?\nAnswer: 265\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqx when three letters picked without replacement from tnzqazzzzqqxqaaqz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 114559*s - 21880778. Give v(191).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 14*m - 63 = 0. Let v be m\/(-105)*(-2)\/(-3). Suppose v*d + 1\/5 + 1\/5*d**2 = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.5208 rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 71.2 * 12\nAnswer: 854.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071 * 10.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4)*(7 + -3). Let g(s) = -2*s - 2. Let h be g(-4). Put h, 4, -4, z in increasing order.\nAnswer: -4, 4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {o: 2, e: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 + -10 + (26 - 18))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22033 is divided by 221?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1331172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/52*2\/7. What is the closest to -1 in y, 470, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 500\/3. Solve -16\/3*i**2 + 0*i + u*i**4 + 32\/3 + 0*i**3 = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.044, -0.4, 35 in decreasing order.\nAnswer: 35, 0.2, 0.044, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 31353330976?\nAnswer: -31353330974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 9*n - 7. Suppose 4*a + 8 = 44. Let p be -2 + (0 - -2) + 0. Suppose p*g - a = g. What is w(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*p + 3*f - 18, p + 6 = 5*f. Calculate the least common multiple of 11 and (15 - (0 + p)) + -2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7698, -7697, -7696, -7695?\n\"Answer: l - 7699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + i)*(1 - 1 + 2) - 3*i - 3*i + 5*i + 1 - 1 - i + 2*i - i - 2*i - 1 + 1 + 2*i - 2*i + 6*i - i + (-3*i + 3*i - i)*(1 - 5 + 5).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-3))\/((-24)\/(-576)*16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g + 31*g + 38*g)*(3 + 3 - 4) + 2 - 2 + 3*g + g - 8 + 1 + 1.\nAnswer: 98*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*r - 119 = -320*r. Suppose 5 - r = -6*o. Solve h - o*h = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 6 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: c1a0 (base 14) to base 16\nAnswer: 81f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 - 11*h. Let a(i) = 7*i**2 - 9*i. Let q(m) = 5*a(m) - 4*j(m). Let p(y) = 1. Give -2*p(r) - q(r).\nAnswer: r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647082 - -4195?\nAnswer: -1642887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495 and 135?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/4 - 1027\/180. Let p(d) be the second derivative of -1\/15*d**2 - z*d**3 - 2*d + 0 - 1\/90*d**4. Factor p(u).\nAnswer: -2*(u + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444983980 divided by 4999820.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 45*r**2 - 84 - 46*r**2 - 39*r**2 + 87*r**2 + 168.\nAnswer: -43*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 8 = -10*t. Suppose -5*w - 8 = -t*f - 6*w, 3*f - 12 = -3*w. Suppose -f + 14 = g. Calculate the highest common divisor of g and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-28)*2*((-1350)\/(-27))\/(-50)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23188 + -4730213\/204. Calculate the common denominator of j and -149\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) -0.15 (c) 7 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + 2 + -3. Let r be (-1 + -2)*(1 + d). Let 4*o**3 - 6*o**2 + o**r - 2*o**4 + o**3 + 2*o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b - 3. Let s be ((-3)\/((-18)\/(-411)))\/(-1). Let g = -67 + s. Sort g, b, 0.5, -0.2.\nAnswer: -0.2, 0.5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 5*k**4\/12 - 5*k**3\/6 - k**2\/2 - 298*k - 1. Let b(y) = -6*y**2 + 4*y + 1. Give -5*b(m) - 4*f(m).\nAnswer: 10*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.9. Let u = 3.868 + -3.858. Put 3, o, u in decreasing order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55336 - 6013?\nAnswer: 46323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 38779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.04 (b) 5 (c) -12\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 8. Let a(k) = 18*k + 246. Let c be a(-13). Let f(u) be the third derivative of u**4\/12 + 10*u**3\/3 + 23*u**2. Calculate c*i(g) - 5*f(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 31*a - 34. Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 5*i**3\/2 + 3*i**2\/2 + 2*i - 1947. Let q(h) = 72*h**2. What is u(q(n))?\nAnswer: 1080*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79558800 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -129*m - 322. Does 25 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02339126 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -6, 5, -4, 334, 3 in ascending order.\nAnswer: -10, -6, -4, 2, 3, 5, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -921 divided by 3\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 15*y - 11. Let q be t(14). Suppose -20 = -q*x - x + 4*f, 2*x - 5*f = 19. Calculate the remainder when (2\/3)\/(1\/9) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/5 + 1502*n**3\/5 + 3044*n**2 = 0.\nAnswer: -10, 0, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*m**4 - 23*m**3 - 13*m**2 + 2*m + 545797 wrt m?\nAnswer: -400*m**3 - 69*m**2 - 26*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -61. Suppose i*q - 5*q - r - 45 = 0, 2*q + r = -21. Let b(a) = -23*a + 3. Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -r - 7 - 0, -5*q - 5*r - 15 = 0. Let j be (-7)\/6 + (0 - -1). What is the closest to 1 in -0.5, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -3400321?\nAnswer: 3400321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.15, -2, 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/2151434 or 0?\nAnswer: 45\/2151434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6238557 - 35596378 = -47*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022 - -1?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**7\/70 - n**6\/40 + 7*n**5\/20 + 13*n**4\/8 + 3*n**3 - n**2 + 9. Find j, given that h(j) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 28. Let t(d) = d + 14. Let f(x) = 9*t(x) - 4*v(x). What is the units digit of f(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 128\/(-12))*(6\/668)\/((-12)\/24).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 + 91 + 72*j**3 + (-3 + 4 - 3)*(2*j**3 + 3*j**3 - 6*j**3).\nAnswer: 74*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v - 173 = -8*v - 3*q, -501*q + 496*q = -4*v - 37 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67563251 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - 14 - 13*o + 16)*(-o**3 + 4*o**3 - 5*o**3) to the form n*o + m*o**2 + d + p*o**4 + r*o**3 and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 396163991513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 103 - 1\/(-1). Let z = 106 - f. Suppose -2*s = -31 + z. What is s rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*h + 171 = -705 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139402146 != 139402147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 28 = 4*x + 5*y, -4*y - 60 = -4*x. Suppose 4 = x*t - 9*t. Suppose -1\/2*g + 3\/4*g**t - 3\/4*g**4 + 1\/4*g**5 + 1\/4*g**3 + 0 = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 1. Let p(x) = 4*x + 1. Let k(l) = 5*o(l) - 6*p(l). Let i be k(2). Let h be (3\/6)\/(i\/4). Solve -h*s + 6*s = 2*q - 24, -20 = -5*q + 2*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3134 is divided by 131?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10165 + 8*v + 10229 - 20334 + (5 - 5 - 2)*(-3*v - 3*v + 4*v).\nAnswer: 12*v + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u - 9. Let t(s) = -6*s + 8. Let q be t(2). Let l = -142 + 210. Calculate the remainder when l is divided by r(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 264157412 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 610 + 197. Let c = d + -636. Calculate the highest common divisor of 152 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28377, 28375, 28373, 28371, 28369?\nAnswer: 28367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 1635*d - 58450. What is w(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 13 + 2. Let d = 23 - l. Suppose -345 = -d*w - 73. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 1229, 1845, 2461, 3077, 3693?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1012 and (-2)\/(-32)*(-2356)\/(-1426).\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 102 - 95*m + 90*m + 33. Let q be v(28). Let z = 23 - -11. Sort q, -2, z, -1 in ascending order.\nAnswer: q, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:22 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 28\/13) + 14\/91. Suppose -4*w = b, -3*w - 10 - 2 = -3*m. Let p be 4\/(1\/1) - (-15 - -16). Solve p*h + 1 = 3*y + 7, -3*y + m = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1048?\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -c + 3*f - 63, 2*f - 2 = 0. Solve -c*h = -73 + 127 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 5*k + 2. Suppose 5*s - s = 2*s. Suppose s = -5*o + 12 + 3. Give x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*i - 110 = 3*i, -2*n = -3*i + 54. Let d = -19 - n. Let v(l) = l**3 - 6*l**2 + 5*l - 3. Give v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (6 + -3 - -44). Let p = 107 - 92. What is the highest common divisor of m and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(0 - s + 0)*(-4*s + 1 - 1)*(1 - 1 + s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17009)\/(-10718) + (1\/2 - 2). Sort 0, 2, f, -0.037 in decreasing order.\nAnswer: 2, f, 0, -0.037","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*r + 2 = 6, 0 = p + 3*r - 16. Suppose 3*m = -m + 5*a + 905, 0 = 2*m + p*a - 472. Let c = m + -45. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/2520 - a**6\/180 - a**5\/30 + a**4\/8 + 2*a**2. Let g(i) be the second derivative of j(i). Calculate g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.71 - -3.21. Which is the third biggest value? (a) -1 (b) j (c) 1\/107 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -236.\nAnswer: -236, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -1*sqrt(539)*3*-6)**2.\nAnswer: -1047840 + 3024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Let d(p) = 60*p - 59*p - 2 - 1. Let x be d(-7). What is the tens digit of w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07305 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 28\/2 - (-8)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + (-3 - -2))*53\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 + 5*d**5 - d**5)*(105 - 771 - 418).\nAnswer: -2168*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 - 11*k - 6. Let h be t(-7). Let p be h\/33 - 19\/24. What is the smallest value in -1\/2, p, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 46, -8\/9, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(3 + -6*(sqrt(396) + (2*sqrt(396) - sqrt(396))) + (sqrt(396) - (sqrt(396) - 5*(sqrt(396) + 1)))))**2 + 4.\nAnswer: -672*sqrt(11) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 8*b**2 + 31*b - 122. What is o(11)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d. Let j(t) = 9*t**2 + 4*t. Let y(k) = -20*k**2 - 9*k. Suppose -22 = 2*f + 2*z, f + 0 = z - 7. Let i(l) = f*j(l) - 4*y(l). Calculate i(m(u)).\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*l + 5, -5*l = r - 5 + 2. Let d(i) = 3*i + 6. Let b be d(r). Suppose -7*g - g + 15208 = b. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + -58. Let n = 89 + k. Let l be (-7)\/(-5)*(-24)\/n. Put 1, -1\/9, l in decreasing order.\nAnswer: 1, l, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15837707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11499 + -0.1225. Round p to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20110 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 20 + 5, -3*g - 9 = -3*c. Let z = 9 + g. Calculate the greatest common divisor of 5 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*u + 6 = 0, -1379*i + 14 = -1375*i - 3*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q**5 - 39335*q**4 - 28055645*q**3 - 2901559405*q**2 + 4895255660*q - 1965601260 = 0. What is q?\nAnswer: -1249, -126, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 433037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20. Suppose 55 = c*f - 13. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 9*w**2 - 14*w + 2. Let p(h) = -3*h**3 + 27*h**2 + 41*h - 6. Let r(s) = 3*p(s) + 8*x(s). Determine r(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20928 is divided by 6901.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2739, -5459, -8179?\nAnswer: -10899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/87 and 51\/5?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139357681.\nAnswer: 139357681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:35 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 9890*r**2 + 459082*r - 449190 = 0. What is r?\nAnswer: -4991, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1573)*1 + sqrt(1573) + sqrt(1573))*-5 + 5*(sqrt(1573) + -2*sqrt(1573) + sqrt(1573)) + sqrt(1573) + 2 + 1*sqrt(1573))**2.\nAnswer: 2728*sqrt(13) + 6046616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007416177?\nAnswer: 1007416177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a decade in months?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 23994 + 23994 + 24000 - 71988.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-32))\/(10\/8 + 2). Let d = t + -34\/13. Let m = -73\/8 - -21\/8. What is the common denominator of d and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*b + 146*b = 6. Suppose -a = -4*o + 3, 9 = -2*o + 3*a - b. Suppose -2*x**o + 0 + 4\/7*x + 10\/7*x**3 = 0. Calculate x.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - x**2 - 5*x**2)*(33*x - 23 + 23)*(4 - 1 - 2) as f + p*x + u*x**2 + z*x**3 and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1889748*r + 10 + 1889741*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3 - 6 - -2). What is the nearest to 2\/5 in 2, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129359 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 2. Let t = -5 + y. Suppose -t*w + 3*g + 69 = 0, 3*w - 39 = w - 5*g. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*k = -1633*k + 48720 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + x - 3818 = 112*x + 1772 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1824491214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 - 7*t**2 + 27*t - 24. Let v(j) = 2*j**3 + 3*j**2 - 13*j + 11. Let l(f) = -9*v(f) - 4*w(f). Let x be l(2). Solve n - x = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/(2\/78). Suppose -5*k = 25, -4*v - s = -k - 653. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**2. Let v(d) = 2*d. Let u be (-2)\/9 - 38\/(-9). Let s(g) = g. Let j(a) = u*v(a) - 10*s(a). Determine y(j(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*a - 29, 4*a = 2*n - 7*n + 56. Suppose -a*h + 39 + 24 = 0. Solve -3 = -3*x, x - 4 = -4*o + h*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 762896740*b. Let v(m) = m**2. Give w(v(f)).\nAnswer: 762896740*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x + 16. Suppose 0*u + 20 = x*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23707 = 117*j - 157555. What is the greatest common divisor of 663 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + 3*y - 3. Suppose 4*z - 3*k + 4 = 0, 2*z + k - 2 - 6 = 0. Let b be t(z). What is the units digit of b + -1 + 5 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 6. Let v be p(6). Suppose -4*c - 4*h + 256 = v, -4*c + 4*h + 271 = 3*h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + s, 2*y + 10 = -5*s - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380745*l**2 - 195937*l.\nAnswer: -761490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcukb. Give prob of picking 1 k and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2176 + 1519. Let b = w - -1106. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13171883.\nAnswer: 19, 693257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 4*j**2 - 21*j + 4. Calculate k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**3 + 0*v**3 - v**3)*(-9 + 5 + 1) to the form i*v**3 + k*v + w*v**2 + g and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, n: 4, r: 3, i: 8, a: 2, d: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-175)\/(-5))*-1. Let t = 83 + l. Let s = -51 - -75. Calculate the greatest common divisor of t and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 + 484. Let z(i) = -i**3 - 6*i**2 + 8*i + 7. Let y(l) = -l - 7. Let x be y(0). Let v be z(x). Solve 3 + v = j*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 7*d - 4, -2*p + 3*d + 5 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (12 + -7) - -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 137*f\/2 - 580 = 0. Calculate f.\nAnswer: -145, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/129588 and 1\/8.\nAnswer: 259176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-960)\/(-220))\/((-20)\/(-5))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86, 356, 806, 1436, 2246, 3236?\n\"Answer: 90*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13869 - 13856.1. Let k = 2040 + -2052.864. Let c = k + f. What is c rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/18)*w*(w\/w**18)\/w*w**(-11\/5)\/w**25 assuming w is positive.\nAnswer: w**(-3893\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/3 in -1, 835, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, i: 3}. Give prob of sequence ipp.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 + 6*n + 4. Let m(w) = 15*w**2 + 11*w + 7. Let z(j) = 11*k(j) - 6*m(j). Let s be z(-2). Let h(x) = 93*x + 5 + 4 - 1 - 2 - 94*x. Calculate h(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(7) - (sqrt(70) + (-2*sqrt(70) + sqrt(70) - sqrt(70)))\/sqrt(10).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19359\/5 + 3868. Let v = 7 + -10. Is z at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2468519*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8618336 is divided by 2178?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50.3982 times 5\nAnswer: 251.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z + 2. Let h be 7\/((-14)\/4) + 9. Let n be 7 + -4 - (0 + 2). Let m(r) = -n - h*r + 4*r**3 + 8 + 0. Calculate -2*m(c) + 7*p(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 91) + (-1 - (13 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c + 30. Let w be (-16)\/(-1) + (-8)\/(0 - 4). Let x be g(w). Suppose 7*l - x = 3*l - j, -5*j = 2*l - 204. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*b - 3*b - 14, 5*d + b = -26. Let u be (2 - d*(-3)\/6)\/3. What is the third smallest value in -0.2, u, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i + 267. Calculate the smallest common multiple of 156 and n(45).\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 12) to base 15\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 13*i + 32. Let l be g(-15). Let a be ((-1)\/l)\/((-44)\/(-33)). Sort 0, a, -1 in decreasing order.\nAnswer: 0, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674832?\nAnswer: 2, 167177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k*r**4 + 1263*k*r**3 - 3*k*r**2 - 8*k*r - 9*r**4 - 30*r - 13 wrt r?\nAnswer: 384*k*r + 7578*k - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.0390664\nAnswer: -0.00781328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 496040 times 2.74\nAnswer: 1359149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119\/3 + (-2)\/(-6) is divided by (-168)\/(-224) - (-106)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4089004331.\nAnswer: 23, 7229, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*s + 1372, a = -s + 5*a + 712. Suppose 0 = 26*k - 30*k + s. Is (-18)\/(-126) - k\/(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5*x + 4*n**2*x + 100*n**2 + 2551*n + x wrt n.\nAnswer: 40*n**3*x + 8*x + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + d + 1. Suppose 0 = 2*b + 3*r - 21, 0 = -5*b - 2*r + 22 + 3. Let t be h(b). Is t less than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*y + 8, 5*s - 6 = 2*s - 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 12*j + 2400. Let z(t) = 7*t**2. Give f(z(p)).\nAnswer: -98*p**4 - 84*p**2 + 2400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-6)\/(-207)). Let f = b - 5. Calculate the lowest common multiple of (-18)\/(-24) - 85\/(-4) and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m + 2*r, 5*m + 2*r - 5 = -1. Suppose m*p - 5*s = 40, -s = 2 + 2. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 27 = -4*v, 2*v + 2*v = 0. Find the common denominator of -43\/5 and (-2)\/(-4) + x\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*1*3\/(-3). Let u(j) = -16*j + 15. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 - 842 + 1832 = -24*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) 10\/3 (c) 1.346 (d) 2 (e) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0, -28, 0.1 in descending order.\nAnswer: 0.1, 0.05, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -200, -393, -648, -965, -1344, -1785?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 27. Does 7 divide (j\/21)\/(2\/69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28436 and -28436 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 divided by 101?\nAnswer: 1179\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691*r + r**3 + 863*r + 831*r.\nAnswer: r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by (-85)\/(-3) + (136\/(-12) - -10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48830?\nAnswer: 2, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -4 - 0 - -2. Find m such that -r*m**3 - 2*m**4 + 3*m**4 - 2*m**2 + m**4 - 4*m**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138037\/24 + 5747. Calculate the common denominator of y and 89\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676142 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 9. Let m(o) = -2*o**2 + 5. Let t(q) = -4*a(q) + 7*m(q). Let s be t(1). Does 16 divide 5\/s*408\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.231 in -15, 64, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179050, -716260, -1611622, -2865142, -4476826, -6446680, -8774710, -11460922?\n\"Answer: -v**3 - 179070*v**2 + 7*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.916 + 0.084. Let i = -12 - -4. Let f = h + i. What is the third smallest value in f, -2, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + i**2)*(-3*i - 3*i + 3*i) + 298*i**3 + 3 - 4*i**2 - 296*i**3 + 3*i - 2*i.\nAnswer: 5*i**3 - 4*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let t(u) = -40*u**3 + u**2 - u - 2. Let g be t(-1). Let z(l) be the second derivative of -8*l - 82 - 2*l**3 + g + 42. Give s(z(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550\/575 + 2\/23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**5*a*(a*a**(-1))\/a*a**3\/a**(1\/11) assuming a is positive.\nAnswer: a**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = 17. Suppose 0 = -w - w + 3*l + v, 2*l = -10. Let c = 16801\/42 - 2407\/6. Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - (-8 - -4)) + 1978. Suppose 3*c = 5*l + 1639, -n = -4*c + 2*l + 228. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -28. Let a be (10\/25)\/1*r. Is 8\/a*(-2733)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Suppose -57 = -4*a + 2*a - 5*b, -l*a + 68 = 4*b. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2121, 2120, 2119, 2118?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 30. Suppose c*x - 267 = -5*x - 2*m, 3*m + 12 = 0. Suppose o = -2*o + w + x, 2*o + 5*w - 14 = 0. Calculate the remainder when 31 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - c**2 + 6*c**2)*(394347 - 394357 + 145*c - 25*c).\nAnswer: 1440*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134702 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000286 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 30. Suppose 4*w - 18 = -3*i, x*i + 2*w + 10 - 24 = 0. Calculate the smallest common multiple of 3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 less than -731160\/13127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*f + 64, 5*n = -3*f + 32 + 56. Suppose -5*v = 4*i + n, 4*v + i = -i - 10. Solve 3*q = 0, -2*q + v - 12 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - 5*i + 3. Let k be ((-6)\/(-3))\/(4\/6). Let a be m(k). Let g = a - -3. Does g = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 125. What is the units digit of 710\/g - 4\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2 + 4*k**4 - k**4 + 0*k**4 + 7*k**2 wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 429*r - 428*r = 14, -3*r = 3*g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -248 (b) -4\/7 (c) -181\/52 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 729*b + 691. What is n(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: (-108)\/9*-3*2\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 572, 7688, 27886, 67706, 133688, 232372, 370298?\n\"Answer: 1090*h**3 + h**2 - 517*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*a - 24 = -134*a. Factor 1\/3*l + 1\/6*l**a + 1\/6.\nAnswer: (l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**2 - 5*h**2 - h**2 + 23*h**2 as d*h + t*h**2 + w and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 18*j + 85. Let z be d(-19). Suppose 5*q - 73 - z = -2*f, 2*q = -6. What are the prime factors of f?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -260\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 2. Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**6\/3 - 24*x**5\/5 - x**2 + 97*x + 1253. What is the second derivative of c(m) wrt m?\nAnswer: 80*m**3 - 288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2, -2\/15, -3, -0.085, -60.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + 2 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-2*z + 0 + 2 - 4).\nAnswer: -6*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**4 + 22*p - 2*p**4 - 26*p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-5\/12)\/(v\/v**(2\/19)*v*v**(5\/3)) assuming v is positive.\nAnswer: v**(-2341\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 7. Let i = 9 - l. Is i\/(-10) + (-936)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6752 - -6911. What is the remainder when 5402 is divided by u?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*k + 2*g - 0*g, -4*k - 4*g - 88 = 0. Let d be (22\/6)\/((-8)\/k). Suppose d*m - 9*m = 62. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 2)*(5*v + 3 - 3) - 2*v**2 - 3*v**2 + 3*v**2 - v**2 + 2*v**2 - 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -588281.014 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.358 + -0.042. Let t = j + 6. Which is the third smallest value? (a) -0.3 (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 37 = 2*l. Calculate the remainder when (-8)\/(-3)*l\/(8\/(-159)) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 243 + 100 = 0. Which is greater: 13 or q?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 11*m**2 + 5*m**2. Let h(l) = -l + l - 2*l. Determine f(h(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 4*f - 7217 + 7215.\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 69180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -36*i**2 + 9*i - 2. Let n(w) = -w - 67. Calculate a(n(q)).\nAnswer: -36*q**2 - 4833*q - 162209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -q. Suppose q*h - 4*h = 0. Let s be 4 + h + (0 - 1). Solve 0 = -p - s*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3480780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = -j + 402. Let h be (54\/(-21))\/((-4)\/28). Let y = h - j. List the prime factors of y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/6126 - -55645\/3063. Let y be 46\/(-10)*13670\/(-24). Let j = y + -2632. Calculate the common denominator of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 156 - -61 - (-13 + 1 + 1)) + 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 1783\/47. Let n = o - 103\/141. Let d be (-2)\/(-3) - (-2)\/6. Which is the closest to d? (a) 3 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429, 16670, 43739, 81636?\nAnswer: 130361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 38 + 622*k**3 + 2*k - 1809*k**3 + 604*k**3 + 609*k**3 + 0*k as h*k**3 + q + s*k**2 + j*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*g = -p - 7, 2*p + 4*g = -22. Let w = -4 + 3. Let m = 75 + -373\/5. Which is the second smallest value? (a) m (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3937675, -3937671, -3937667, -3937663, -3937659, -3937655?\n\"Answer: 4*h - 3937679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*r*x**2 - 4150*o**2*r*x - 2*o**2*x**3 - 491429*o*r*x**3 - 10*o*r*x**2 + o*r*x - 3*o*r + 13*o*x**3 wrt x?\nAnswer: -12*o**2 - 2948574*o*r + 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u. Suppose 0*o - 3*o + 57 = u. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u**2 - 63*u**2 - 76*u**2 + 221*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:53 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 332013?\nAnswer: 332002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*c + 21359 - 48143 - 29520 = 0 for c.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 399517949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/40 - h**5\/10 - h**4\/8 - 7*h**3\/3 - 14*h**2. Let z be y(6). Suppose 5*j + 0*j - z = 0. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -157, -209, -287, -385, -497, -617?\n\"Answer: c**3 - 19*c**2 - 2*c - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5*y - 5*s, -2*s - 5463 + 699 = 172*y + 225*y - 0*s for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkkxgyykyxyygxyyyg. What is prob of picking 3 k?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 570, 1133, 1674, 2181, 2642, 3045, 3378?\n\"Answer: -2*m**3 + m**2 + 574*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - 0.614457064.\nAnswer: -0.744457064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1162 + -522. Suppose 0 = -6*m + 4*m + 4*n + g, 5*n = 2*m - 643. What are the prime factors of m?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129\/265 + 6\/53. Suppose -u*h**2 + 0 - 6\/5*h**3 - 3\/5*h**4 + 0*h = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 6. Let g be l(4). Suppose x - g = -2*x. Let o be ((-3)\/(-4))\/(9\/x). Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13528 - 13528. Which is the third biggest value? (a) l (b) -0.08 (c) 0.0298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13857 divided by 3?\nAnswer: 4619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1907, 2065, 2219, 2369, 2515, 2657?\n\"Answer: -2*j**2 + 164*j + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201432 and 5450.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 30*z**3 + z - 2. Let g(w) = -15*w**3 + 1. Let f(h) = 2*d(h) + 5*g(h). Let c be f(-1). What is the common denominator of 2 - (1 + 69\/c) and -145\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 33 + 17)*(3*t + 0*t - t) + 4*t + t - t to the form b*t + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*i + i - 12 = 0, -4*i = -5*j + 51. Suppose 3*a = 7*a + 3*s - 34, -4*a = -2*s - 44. What is the least common multiple of j and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**3\/5 + 78297*m**2\/5 - 172320*m + 156660 = 0.\nAnswer: -26110, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327601.8666 rounded to the nearest 100?\nAnswer: 327600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9922, 9798, 9674, 9550?\n\"Answer: -124*q + 10046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/6)\/((-2)\/4). Suppose -4*y + 4 = -2*w, -y + 2*w + 4 = 3*w. What is the highest common factor of y and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/113418 and -7\/16.\nAnswer: 907344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-5)*300\/120. Let k(h) be the first derivative of h**3 - 5*h**2\/2 - 6*h + 1. What is the tens digit of k(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 50, 2*q + 0*q + 2*t = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -17784 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 35*x**3 - 200*x**2 + 370*x - 10. Let k(o) = 11*o**3 - 67*o**2 + 123*o - 3. Let n(s) = 10*k(s) - 3*z(s). Factor n(b).\nAnswer: 5*b*(b - 12)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341463352 to the power of 1\/2, to the nearest integer?\nAnswer: 18479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*i - 2*v, 5*i - 16 = -18*v + 15*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5002*h + 5002*h - 10*h**2 - 324*h**3)*(-2*h + 1 + 2*h + 2*h) in the form z*h**2 + u*h**3 + j + r*h**4 + f*h and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 42*a**2 + 46*a - 1251. Give r(22).\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -196. Let n = 149.9 + j. Let q = n + 9. What is the closest to q in -5, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6771 + 19.3229. Let f = -771309.00204 - -771331. Let t = f - p. Round t to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzdz when four letters picked without replacement from czdzczc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 1 + 1\/4*p**4 + 5\/2*p**2 - 2*p**3 + 4*p. Determine d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:46 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -5*(sqrt(343) + -5)).\nAnswer: -130 + 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:14 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 27 - r**2 - 110*r - 14 + 24*r in the form u + k*r**2 + p*r and give p.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5)*y)\/(y\/(y\/(y*y**(-9)))))\/(y**(-4)*y**(2\/31)) assuming y is positive.\nAnswer: y**(2036\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 523, 471, 415, 361, 315, 283, 271?\n\"Answer: u**3 - 8*u**2 - 35*u + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3*j**3 + 0*j**3)*(-34 + 25 + 2 + 6159*j**2 + 7) + 4*j**5 + 0*j**5 + 3*j**5.\nAnswer: -12311*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1411110*a - 10. Suppose -c - 19 = -2*p, -4*p + 31 = 7*c - 2*c. Let g be n(p). What is g rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(198) + sqrt(198))\/sqrt(2) - -1*(sqrt(1584) + sqrt(1584) + 0))**2.\nAnswer: 23958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/5)*o)\/(o\/(o*o**6*o)))**6 assuming o is positive.\nAnswer: o**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/2520 - 5*a**4\/12 - 13*a**2. Let o(f) be the second derivative of p(f). Let t(u) = -2*u - 2 - u + 2. Determine t(o(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 10 = -2*o + 14, 4*o = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 632 and 14?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 16 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*l**2 + 5889*h**3*l + 964*h**3 + 2*h**2*l**2 - h**2*l - 857*h**2 + 6*h*l**2 - 2*l**2 - 2*l wrt h.\nAnswer: -6*l**2 + 35334*l + 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-124)*-31*(-441)\/(-693).\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*d**4 + 3)*(66*d + 13*d - 19*d + 14*d).\nAnswer: -148*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9595 + -77069\/8. Let l = -39 - x. Do -1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147624999*j**3 - 178008379*j wrt j.\nAnswer: -885749994*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 276786?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 8*j**2 + 7*j + 17. Determine k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.296*0.3.\nAnswer: 2.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 8*h**2 + 15*h - 8. Let d(s) be the first derivative of s**3 + 5*s**2\/2 - 3*s - 2382. Determine 8*d(p) - 3*k(p).\nAnswer: 3*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 7056?\nAnswer: 63504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -4 (c) -3 (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 636. Let a(z) = z + 53141 - 53141 + 0*z. Give c(a(w)).\nAnswer: w**2 + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ekcxbbbcxbbbkybe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 0 + 0 + (2 - 4 + 0)*(1 - 1 + k) - 7*k - 8*k + 0*k)*(0 - 5 + 4) + 734 - 83*k - 734 to the form i*k + p and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -33*i**2 + 3*i + 4. Let v(u) = 66*u**2 - 7*u - 9. Suppose 3*l = 4*q - 1157 + 1183, -5 = 5*l + 3*q. What is l*v(y) + 5*r(y)?\nAnswer: -33*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 46991 divided by 343\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11819, -11820, -11821, -11822, -11823?\nAnswer: -11824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 267\/101?\nAnswer: 267\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(80) + (sqrt(80) + -1 - sqrt(80) - sqrt(80))*4) + ((sqrt(495) + 1*sqrt(495))\/sqrt(9))\/(sqrt(22)\/sqrt(2)*-2)))**2.\nAnswer: 14400*sqrt(5) + 114804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245869, 245852, 245835, 245818, 245801, 245784?\nAnswer: 245767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3679 - 3223. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, c: 5}. What is prob of sequence ccct?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1588 in 0, -3\/574, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/309 (b) 5\/946 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 57021*r.\nAnswer: -r*(r - 57021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 223*m - 218*m. Suppose 4*l = 5*l - 4570. Suppose -x - l = -m*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1059 - -65661\/62. Let g = x - -41\/434. What is the biggest value in 5, g, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 7*a**2 - 41 + 4*a**2 + 10*a**2 - 88.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 12. Suppose -3*v = -24 - 48. Let p = f - v. Which is the second smallest value? (a) p (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(-3 - 2 + 3)*(-30 - 25 - 39)*(-f + f - f**4) in the form b + q*f**3 + m*f**4 + d*f**2 + z*f and give m.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3372 - 3372 - a + 84*a**3.\nAnswer: 84*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 2*d - 80. Let j be x(7). Suppose w = 4*w - 2*q - 198, -3*q = w - 77. Calculate the highest common divisor of j and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 - 9)*(3*u - u - 4*u + 4*u + 8*u + 28*u + (-3 + 3 - 2)*(u + 5*u - 4*u))*(-3*u - 2*u + 3*u) to the form n + j*u + q*u**2 and give q.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1863 + -8.7057. Let t = z - 0.108. Which is the third biggest value? (a) t (b) 1\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 591*g**2\/2 - 1412*g - 1110. Differentiate k(d) wrt d.\nAnswer: 591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-6)\/9). Let j = 65.7 + -27.7. Let v = j - 38.3. Which is the second biggest value? (a) v (b) f (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16486 = 213*j - 5027. Let b be (91\/4)\/((-2)\/(-8)). Let r = j - b. What is the greatest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 19 = 3*l - a, -a = l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157464 is divided by 52478?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-584)\/365).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.19456971?\nAnswer: -0.58370913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 199*r - 1675. Give k(39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12\/7, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/52 - 2\/13. Let j(u) = 6*u**3 - 3*u**2 + u + 3. Let z(d) = 5*d**3 - 2*d**2 + 2. What is t*j(m) + 3*z(m)?\nAnswer: 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v. Suppose -3*o + 15 + 0 = v. Suppose -n + 2*z = -3, -3*n + o*z = -8 - 3. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -67. Is (-3789)\/w*86 + 0 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226931699 and 3103.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - 6*((3*sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432)))\/(sqrt(294) - 2*sqrt(294)*2))**2.\nAnswer: 200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 3843806?\nAnswer: 3843814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - i + 6*i + 9, -2*f + i - 6 = 0. Let q be 115\/15 + f\/(-9). Factor -14*k**3 + q - 6*k + 18*k**3 - 6*k.\nAnswer: 4*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1169 - 374 - 349 - 190 + 2*b. Let p(g) = -7*g. Determine n(p(x)).\nAnswer: -14*x + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 145313 and 10.9?\nAnswer: 145302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15809, -16600, -17405, -18230, -19081?\n\"Answer: -u**3 - u**2 - 781*u - 15026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 3. Let l be w(-5). Let u be (3\/l)\/(-3)*2. Is u <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7*g - 44 = 0. Calculate the remainder when 79 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*i. Let b be 2*(-3)\/3 + i. Let c = 3 - -2. Sort -1, c, b.\nAnswer: -1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39486 + 28166. Round v to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.79 - 18. Let k = 0.11 + r. Which is the closest to k? (a) -2 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 408, -49, 32, -4, 1 in ascending order.\nAnswer: -49, -4, 1, 32, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131\/1467 or -4\/11?\nAnswer: -131\/1467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = c + 14, 0 = -5*f - 2*c + 66. Suppose 4*k + 2*r = 4658, 13 - f = r. Suppose 3*p - k = 2*p - 2*x, -3484 = -3*p + 5*x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12561.\nAnswer: 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/16 + -4 + 2183\/236?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(360\/(-81))*((-10)\/5)\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3710076 and 8\/15?\nAnswer: 18550380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 2*n + 6. Suppose -3*d + 10 = -5*d. List the prime factors of h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142180233 and 47393411?\nAnswer: 142180233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1434 + 8663*z - 719 - 825*z - 715 as p*z + a and give p.\nAnswer: 7838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148080 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -7. Suppose 0 = -14*g + 9*g - t. Let v be g\/(5\/(-2))*15. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -0*z. Let s be z + 7\/(14\/8528). Suppose -h - 4*h = -s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 18270.\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32264*p - 16130*p - 2067 - 16132*p + (3 + 2*p - 3)*(3 - 6 + 1).\nAnswer: -2*p - 2067","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44514, -356334, -1202846, -2851440, -5569506, -9624434, -15283614, -22814436?\nAnswer: -32484290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1004404, 1004421, 1004450, 1004491?\nAnswer: 1004544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533055 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**1*x)\/x*x\/x**5)**45)**41 assuming x is positive.\nAnswer: x**(-5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 + 5*p + 5. Suppose -3*n + 29 = 2*j + 2*j, -5*n + 27 = -4*j. Determine r(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138592 - 29742 = 25*z. List the prime factors of z.\nAnswer: 2, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 122400, 243117, 363832, 484545, 605256?\n\"Answer: -p**2 + 120720*p + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 9 = 5*y + 5*n, 3*n = 4*y + 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2135 - -4599. Suppose -39*g + 17*g = -t. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 5*sqrt(78)*1 + (-2*-1*sqrt(78) - sqrt(78)) + sqrt(78))\/(6*sqrt(24) - (sqrt(6) - ((sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(4) + sqrt(6)))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2.22 (c) -0.4 (d) -2 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/2*v**3 + 9*v**2 + 0 + 0*v.\nAnswer: -3*v**2*(11*v - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1188 divided by 149\nAnswer: -1188\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21119, -21033, -20957, -20897, -20859, -20849?\n\"Answer: -r**3 + r**2 + 90*r - 21209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -509, -3 in increasing order.\nAnswer: -509, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.387 + -0.087. What is the closest to 1 in 0.3, h, 5\/4, -4\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18485755.\nAnswer: 5, 37, 99923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(3*19))\/(28\/(-1232)*22).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, -1985, -4702, -8489, -13340, -19249?\nAnswer: -26210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 421, 6, -5, 1, 15 in increasing order.\nAnswer: -5, 1, 6, 15, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:01 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 490, 727, 964, 1201?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -453224 divided by 2504?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160342 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/12 - 817*h**2. Let j(z) = -12*z**2 + 11*z**2 + 17*z**2. Give p(j(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*n + 182, -4*i - 347 = 5*n + 35. Let q be i\/(-4) - 3\/12. Let o = 32 - q. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.08 - 0.169.\nAnswer: -2.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6312 divided by -526\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 - 3*q + 13. Let y be r(4). Suppose -4*f + 15 = 2*c + y, 0 = -3*c + 3. Solve 1 = b - 5*n + 4*n, -f*b = n - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Suppose l + 2*q = 13, 5*q = 3*l + 8 + 8. Suppose 0*b = l*b - 9. Let u(t) = 2*t - 4*t + b*t. Calculate g(u(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38*(-2 + 6\/4). Let f = 86 + d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/33 - 5\/((-275)\/1835). Solve -f - c = -35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/(-2400)*((-2)\/(-3))\/(-1)*1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 729996185 divided by 35257\nAnswer: 20705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 3}. Give prob of sequence oo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -665 - -665. Does q = 1\/358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1136435 and -4.76.\nAnswer: -1136439.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 38. Suppose -l*d - 75 = -10*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4442, 8878, 13304, 17720, 22126, 26522?\n\"Answer: -5*k**2 + 4451*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**2 - 124497978*d + 27666216.\nAnswer: 3*(d - 4611036)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 5. Let q(o) = 15*o - 12. Let h(u) = -5*q(u) + 12*t(u). Let w(k) = k. What is w(h(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 10 - 8, 3*p - 7 = -2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -31. Solve u = 5*z + n*u + 23, 4*z = 5*u + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 708 - 709. Are 111 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60881 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/8 - 13491*m\/8 = 0. Calculate m.\nAnswer: 0, 4497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23001040 (base 5) in base 12?\nAnswer: 99772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**3 - 3*n**2 + 89*n - 89*n + 0*n**2.\nAnswer: -27*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/583 and 4 - 14 - (-204)\/32.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49673 (base 10) to base 4.\nAnswer: -30020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 + 5488*k + 1096692 = 0.\nAnswer: -177, 1549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-78) - 0 - 626\/(-26)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.081, 4, 2\/7, -2, 2\/9, -17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9146 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, -240 = -3*t + t - 4*i. Let c be (-4)\/(48\/(-9))*8. Suppose -x - t = -c*x. Solve -u - u - 21 = -3*h, 0 = 3*u - 3*h + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let k(y) = 2*y**2. Let a(j) = -2*j**2. Let x(h) = -5*h**2. Let m be x(-1). Let n(p) = m*k(p) - 4*a(p). Determine n(d(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v + 1. Let k(a) = 4*a**2 + 3 - 3 + 50*a - 2 - 48*a. Give 2*j(s) + k(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12*u = -10*u + 304590. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -43, -49, -59, -79, -115, -173?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) -0.3 (c) -27 (d) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - j)*(-6*j**3 + 2*j**3 + 0*j**3)*(0 + 2 + 0)*(2*j + j - 2*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3876418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -48*t. Let s(m) = m**2 + 11*m + 1. Let y(i) = -20*i**2 + 55*i + 5. Let v(o) = 20*s(o) - 4*y(o). Determine p(v(f)).\nAnswer: -4800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.5622t in grams?\nAnswer: 500562200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157*-0.055.\nAnswer: 8.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 + -8 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 68.2?\nAnswer: -13.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5664 and 103\/4704?\nAnswer: 277536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/505 and (((-15)\/(-6))\/5)\/(9\/(-98)).\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 512, 518, 536, 572, 632, 722?\n\"Answer: z**3 - z + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69217243517 - 69217243517 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(260\/(-50))*(-1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -0.3. Let f = 0.1 + -0.1. Let v be -4 + 0 + 9\/2. Which is the second biggest value? (a) f (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8.1. Let q(a) = -33*a - 203. Let u be q(-6). What is the nearest to w in -1\/3, u, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.12176 centuries to decades.\nAnswer: 751.2176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18795 by -7.\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let m be l\/(-6)*-3 + 0. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 2*k + 11. What is o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 26*y - 154. Calculate k(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - p**3 + 85*p + 11*p**2 - 85*p - p**4 to n*p**2 + j*p**4 + w*p + l + h*p**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 45*v + 7*v**4 - 4*v**3 - 46*v + v**3 to y*v**4 + a + d*v + u*v**3 + k*v**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9426, 18436, 27436, 36420, 45382, 54316?\n\"Answer: -s**3 + s**2 + 9014*s + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 10 = -10*p + 9*p, 7 = -j - 2*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/120 - 7*x**5\/30 - 13*x**4\/24 + 4*x**3\/3 + 4*x**2. Let u be q(-13). Calculate the greatest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.5 - 9.8. Let j = x - 6. Which is the second biggest value? (a) 3 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 200\/2425761?\nAnswer: 200\/2425761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 11 - 5 = 0. Let k(i) = 5*i + 1. Let r be k(w). Suppose 10*m - 6*m = r. Solve -4*j + 24 = -5*l, m*l = 4 - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*n + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9996576*i**3*p*q - 2*i**2*p*q + 6*p*q - p + 35*q - 12219 wrt i.\nAnswer: -29989728*i**2*p*q - 4*i*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -958\/7 - -4797\/35. Put 21, 0.1, o in increasing order.\nAnswer: 0.1, o, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/315 - k**5\/105 + 226*k. Find r such that t(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2\/3, 1\/4, 18898426 in descending order.\nAnswer: 18898426, 2\/3, 1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y. Suppose y = 6*w - 2*w - 52. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-75))\/(1\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + t - 9 = 0, -3*t - 5301 + 5314 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 2, f: 2, u: 3, y: 6}. Give prob of picking 1 y and 2 j.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-27 - (19 - 47)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/(-4120)*60\/195?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -1120001000022?\nAnswer: -1120000222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 - 104. Suppose 0 = -32*j + a*j - 556. Is j < 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1141*u**3 - 27*u - 5 wrt u.\nAnswer: -6846*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507522881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:42 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**6 + 0*r**5 + 1\/12*r**4 + 0*r + 0*r**3 + 0 + 3*r**2 + 1\/35*r**7. Find the second derivative of d(i) wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/6 + m**2\/2 + 23*m + 15. Let f(c) = -23*c**2 + 161*c - 161. Calculate 3*f(l) + 483*s(l).\nAnswer: -69*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 68*w + 57. Let v be i(35). Let a(l) = -486*l**2 + l**3 + 500*l**2 + 10*l - 11 - 15. Calculate the remainder when 102 is divided by a(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-29 - -2) - (-2 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((2 + -6)\/4). Suppose -o + 7 = -z*o. Let h(w) = -w**2 + 9*w + 1. What is the remainder when 57 is divided by h(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.379, 5, -1, 12\/11, -5 in descending order.\nAnswer: 5, 12\/11, 1\/2, -0.379, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 3*m**2 - 3*m - 1. Let j be b(3). Let n = -67 - j. Let f be 237\/9 - n\/18. What is the greatest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - 1546*(-146)\/(-28). Let h = u + 12238. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2584, -2598, -2596, -2560, -2472, -2314, -2068?\n\"Answer: 3*p**3 - 10*p**2 - 5*p - 2572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14945 + 5?\nAnswer: 1494a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluullouul. What is prob of sequence uu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**3 + 91*z**2 - 2309*z + 38218. Give d(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3 - 0)*-3. Let m = x - -2. Let l be 0 + -8 - -11 - 1. Solve 0 = m*u + 4*y + 1, 2*y + l = -0*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5037 + -4989. Let t = -6 - -12. Calculate the highest common factor of i and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.273056497 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 72 = 7*p. Solve -4*o + p*o + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, -76, -122, -260, -532, -980, -1646?\n\"Answer: -7*p**3 + 17*p**2 + 2*p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/8 - 2\/8. Let m(g) = 8*g**2 + 7*g + 15. Let v(u) = 4*u**2 + 3 - u + 3*u + u + 4. Let x(r) = 6*m(r) - 13*v(r). Give x(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*a + 14, 3*a = -5*u + 6 + 13. Suppose -2*x = -4*w - 6, -2*w + 0*x - u*x = 0. Sort w, 4, -2.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -7. Let f = 4511 - 4510.91. What is the nearest to 2\/3 in z, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**2*s**6 - 697*l**2*s**3 - 1029*l**2*s - l*s**2 + 5*s**2 wrt s.\nAnswer: -600*l**2*s**3 - 4182*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*s - 27 = -5, 3*s = -12. Let q be (-10 + -2 - -2)*o. Let h be (q\/(-6))\/(1\/24). What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(125) + 2 + sqrt(125))**2 - (4*(1 + sqrt(5)) + 2).\nAnswer: -44*sqrt(5) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 1525*z + 1550*z + 291*z.\nAnswer: 3366*z + 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413595 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hst when three letters picked without replacement from hsmmsmmmt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (4 - -3) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, -9\/10, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -134. Solve a + 0*a + 10 = 4*o, -f*o = -a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (7 - 6) + -1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q + 2 - 2 in the form j*q + o and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 + 137. Let a be ((-207)\/(-27) - 6) + r\/2. Sort -2\/9, a, 0.\nAnswer: -2\/9, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (1*sqrt(208)*-4 - sqrt(208)) + 2 + 0 + 5 + (sqrt(208) - (((sqrt(208)*-4 + sqrt(208))*6)**2 + sqrt(208))) + -5.\nAnswer: -67390 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 10*g**2 + 4\/9*g**3 + 56\/3*g + 2. Factor n(h).\nAnswer: 4*(h + 1)*(h + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -71. Solve 0 = -9*r + k*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 967, 7854, 26539, 62920, 122895, 212362?\n\"Answer: 983*i**3 + i**2 + 3*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6784990 at least -6784992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 625 = -25*s + a, 5*s + 29 = -4*a + 56 + 68 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3.4. Let r = q - 9.3. Let g = r + 8. What is the second biggest value in 2\/7, g, 7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 25*j + 111. Let n be x(6). Let i(g) = -22*g - 22. Let b(o) = -2*o - 2. Let u(w) = -68*b(w) + 6*i(w). Calculate u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 29. Which is the closest to 0? (a) 0.05 (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 t when four letters picked without replacement from xtttxttx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8393*v - 8644*v - 9287 = 0 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 69 = 0. Let k = 65 + j. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -3. Suppose 3 - 1 = 2*x + c, -3*c - 3 = q*x. Suppose -64 = -2*i + 2*g, 2*g - x*g + 142 = 5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213\/13 - -6855\/416. Find the common denominator of 75\/14 and d.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 + 7*f + 13. Let l(v) = -28*v**2 - 21*v - 41. Let r(n) = -4*l(n) - 13*y(n). Suppose -3*b + 27 = 9. Let z(c) = c**2 + c + 1. Give b*z(a) + r(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3 - 5*j + 5. Let l(o) = 3*o**3 - 2*o + 2. Suppose -1 = -0*n + n. Let w be 3\/(n*(-9)\/(-6)). Calculate w*r(p) + 5*l(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -3*w**2 - 89\/60*w**5 + 0*w - 11\/21*w**7 + 0*w**4 + 0*w**6 + 33 + 0*w**3. What is the third derivative of d(j) wrt j?\nAnswer: -2640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1257.\nAnswer: 4\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)\/((-17)\/(-1156)). Let j = -130 + z. Solve 0 = g + j*n - n + 16, n = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.087819 millilitres to litres.\nAnswer: 0.004087819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 53*i**2 - 17*i. Let w(q) = -q. What is f(w(k))?\nAnswer: 53*k**2 + 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 60 = a, 11*w - 44 = -a + 12*w. Solve a = -5*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 450 - 384. What is the smallest common multiple of 78 and p?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) -2 (b) -9 (c) -924 (d) 2\/7 (e) -0.0536 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135210359*o - 135210356*o - 2*o**3 - 135210359*o + 405631074*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2508 > -7522\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -195, 5, 2745 in decreasing order.\nAnswer: 2745, 5, 4, 3, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 300*m**2 + 1617*m - 4410 = 0. What is m?\nAnswer: -7, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -41*d**8\/7 - 269*d**4\/12 - 93*d. Find the third derivative of p(j) wrt j.\nAnswer: -39360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -1\/24*k**4 + 0*k**5 + 0*k**6 + 13\/70*k**7 + 3\/2*k**3 + 2*k**2 + 0*k + 0. What is the derivative of d(f) wrt f?\nAnswer: 156*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {r: 1, s: 1, o: 10, i: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(0*t + 0*t + t)*(4*t - 4*t + t) + (t + 2*t - t)*(-3*t - 4*t + 6*t) + 9*t**2 + 37*t**2 - 90*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5027, 9763, 14499, 19235, 23971?\n\"Answer: 4736*k + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/2 - 16*j**3\/3 + 17*j**2\/2 - 3*j - 206. What is the second derivative of t(p) wrt p?\nAnswer: 12*p - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c + 5. Let h be 6 - (1 + 2) - 3. Let z be 67\/(-13) + (-8)\/(-52). Sort c, h, z in descending order.\nAnswer: c, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-3 - -8)*7. Let q = 38 + x. Solve -3 = q*h - 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 5.7, -3.4 in descending order.\nAnswer: 5.7, 1\/8, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-5))\/(2\/(-5)) - -6. Let b = 5 - 0. Solve -2*i + b*i - 12 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901248?\nAnswer: 2, 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*22\/(-9)*(-3990)\/1463\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3)\/((-3)\/6)*(-1683)\/(-15147).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 + -630. Let b(m) = -1030*m + 1030*m - a*m**2. Let d(r) = 2*r**2 + 10*r. Determine b(d(i)).\nAnswer: -28*i**4 - 280*i**3 - 700*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-84)*((-6)\/36)\/((-2)\/378).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**5\/15 - j**4\/12 + 3*j**2 + 5. Let o(v) be the second derivative of z(v). What is the second derivative of o(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101111 - 111101?\nAnswer: -100100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 47*l**2 - 3622*l + 109. Calculate j(77).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1699 + -1672. Solve -4*l + 39 = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -t*b - 2*g = g, -4 = 4*b + 4*g. Let o = 1 - b. Let h(r) = 2*r**2 + 2*r + 1. Determine h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*o - 2222*o = -97350 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 3.2. Suppose 0*s + 5*s + 22 = k, -2*s - 5*k - 25 = 0. Which is the third biggest value? (a) s (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:24 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1351786862 < -1351786862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/15 - 95\/(-25). Suppose 11 = 4*w + p. Suppose 66 = 2*h - 2*l, 4*h + w*l - 157 = -55. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 + -3. Which is the biggest value? (a) 1 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627491 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43093311 divided by -3\nAnswer: -14364437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:47 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -383418700 to the nearest 100000.\nAnswer: -383400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 1\/(-1) + -1. Let d be (3 - 0)*(-15)\/(-9). Suppose 5 + 11 = d*t - u, 0 = -3*t + 3*u + 12. Solve -t*c + 25 = -k*y - 0, 5 = y + 3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 60 - 44 = 0. Let t(b) = 2*b**2 + b - 27. Let o be t(h). Solve -3*q = -2*c + o, -q - 7 = 2*c - c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**2 + 293*k + 1865. Calculate t(-9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 24. Calculate d(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdmssdm. Give prob of picking 3 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.48 - 0.28. Let v = -4.6 + w. Sort -5, 4, 0.1, v in decreasing order.\nAnswer: 4, v, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 - 3.2. Which is the nearest to 0.2? (a) 0.1 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 370*c**2 - 1075*c + 710.\nAnswer: -5*(c - 71)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 19*q)*(3 - 3 + 3*q) + 5*q**2 + 0*q**2 - 6*q**2 + (3*q + 3*q - 4*q)*(-3*q + 3*q - q).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*f + 51 = -1438*f + 1962 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from ukvukuuiv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 36*c**4 - 155*c**3 - 198*c**2 - 80*c.\nAnswer: c*(c - 40)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 1. Let l = 0.3388 - 354.2388. Let n = -354 - l. Which is the closest to -1\/4? (a) n (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-2 - 0)) + (65 - 59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*v - 15849, 0 = -18*g + 17*g + 2*v + 5286. What are the prime factors of g?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 0*d**2)*(-4*d**2 + d**3 + 4*d**2).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 4*p + 3. Give v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2698.05 + 2099.1. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 + c - 12. Let v be i(0). Let f = -13 - v. Let y be (-2 + 19\/10)*(402 + -284). Is y equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*z = -9909 - 9859 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -171*j + 2. Let v(k) = -6330*k + 75. Calculate 75*a(x) - 2*v(x).\nAnswer: -165*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 13. Let k be i(-3). Suppose -3*h - 5*g + 11377 = -10497, k*h - g = 29127. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**5 + 137415*i**4 + i**2 - 9*i - 4642?\nAnswer: 120*i**3 + 1648980*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -543, -1101, -1663, -2229, -2799, -3373?\n\"Answer: -2*a**2 - 552*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u**(2\/9)\/u)**(-3\/7) assuming u is positive.\nAnswer: u**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 22. Let k be d(-13). Let t be (-35)\/(-14)*(-4)\/(-5). Suppose 4*n + 52 = 4*u, 0 = 2*n + t*n + k*u + 20. What is n rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46821528067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*x + 22 = 0, 0 = 9*r + 8*x + 93 - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, -y = -3*s - 44 + 138. Suppose 0 = -3*g + 3*z - 10 + s, 32 = 4*g - 5*z. Factor 0 + 15\/4*u**2 - g*u - 3\/4*u**3.\nAnswer: -3*u*(u - 4)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5052065 and -0.2067?\nAnswer: 5052064.7933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/40*(-32)\/30)\/((-528)\/3520)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 84, -13, -1\/3, 0.2, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 1. Let f(o) be the first derivative of -5*o**2\/2 + o - 111. Give 2*f(w) + 3*p(w).\nAnswer: 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 121073336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2478843?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992932?\nAnswer: 2, 101, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -2.05, -1.3, -5, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11229)\/(-10047) - (-4)\/(-34))\/(1\/22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*d - 32 = -391*d + i, 5*d = 5*i + 115 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 148945 < 4021498\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-30)*(-11)\/((-11)\/6). Solve 0 - 1\/7*b**i + 4\/7*b + 0*b**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*m = 14 - 4, 4*m = 0. Suppose 11 = 3*r + c, -3*r - 2 - 3 = b*c. What is the third derivative of 36*k + r*k**5 - 36*k + 8*k**2 wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23306 by 2.\nAnswer: -11653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - a + a + 0.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3 - 54*x**2 + 993*x + 1044 = 0.\nAnswer: -29, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2662, -10585, -23596, -41521, -64186, -91417, -123040?\nAnswer: -158881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1087190 and 354.\nAnswer: 384865260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 4935*d\/4 + 1261784.\nAnswer: (d + 1447)*(d + 3488)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183\/47918 + -73\/194. Let a = f + 10\/19. Let w be 1\/(-2)*(-6)\/2. What is the smallest value in -0.3, w, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - c**3 + 1 in the form a*c + u*c**3 + l + o*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mymf when four letters picked without replacement from {f: 2, m: 2, y: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -24*g**2 + 63*g - 105. Let r(t) = -3*t + 5. Let j(n) = 6*k(n) + 126*r(n). Let l(v) = 3*v. Calculate l(j(f)).\nAnswer: -432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -259*p**5\/10 + 292*p**3\/3 - 86*p**2 + 1. Differentiate g(v) with respect to v.\nAnswer: -3108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -17, -55, -109, -185, -289?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157492 - 105539. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.49584251 rounded to three dps?\nAnswer: -12.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3597 - 3591. Calculate the highest common factor of q and 3786.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/36 + 5 - 1027\/1422.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times -0.6\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -100. Put k, 3, -4 in decreasing order.\nAnswer: 3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2*z - z + (3*z + 10 - 2 - 2*z)*(-3 + 0 + 2).\nAnswer: z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 1)\/(-3) + (-252)\/56 - -3. Let w = 0.5 - 0. Let m = w + -0.7. What is the nearest to 1 in 0.4, m, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1998055995 to the nearest integer?\nAnswer: 44700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 5 + 10 - 5 - 2. What is q(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*t + 284 - 746 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82 + l**3 + 262 - 1955485*l**2 - 36*l + 1955456*l**2.\nAnswer: (l - 30)*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1241969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6292 and -83\/66792?\nAnswer: 868296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5264\/40)\/(-7))\/(2\/(-5)). Let d(c) = 19*c**2 - 6*c**2 + 23*c**2 + p*c**2. Let t(q) = q. Determine t(d(u)).\nAnswer: 83*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 0.01, -1, -0.1, -8683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m**2 + 2*m. Let n(l) = 27*l**2. Calculate j(n(u)).\nAnswer: 11664*u**4 + 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-3 - -5) - -8. Suppose 0 = -a*z + 9*z + 2. Let x(i) = -3*i - z*i + 6*i. Let f(r) = 2*r**2. Calculate f(x(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ossxw. Give prob of sequence wox.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/5)\/k**(-2))\/(k\/k**0*k**4))\/(k**4\/k**8)**(2\/9) assuming k is positive.\nAnswer: k**(-41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/(3\/(9\/4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429145?\nAnswer: 5, 85829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -4) + -1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/360 - j**5\/24 + j**4\/12 + 20*j**3\/3 + 17. Let m(r) be the third derivative of f(r). What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2767234.73 to the nearest 1000.\nAnswer: 2767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66332 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/840870 and -149\/54?\nAnswer: 2522610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -6501, -11186?\nAnswer: -15871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7021)\/1003)\/(2\/4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126758131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4447*j**2 - 4388*j**2 + 7898*j**2.\nAnswer: -937*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(213\/71)\/(-1*5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onoo when four letters picked without replacement from {n: 10, o: 10}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38 - -0.06702.\nAnswer: 0.44702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2557 + -2557.01677. Let f = 0.0105 - d. Let p = -0.027 + f. What is p rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2)\/(-12)*4). Suppose 0 = -s - 1 + 5. Suppose -5*x + m*w = -0*w - 9, 0 = 2*w - s. Solve -7*v + x*v - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576160 and 2600.\nAnswer: 2880800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 1. What is g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -610.25 + 496.262. Let o = g + 114. Let n = o + -5.012. Which is the nearest to -0.1? (a) -2\/15 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5040 + 9348. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -30. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4870, -9526, -14182, -18838?\n\"Answer: -4656*t - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:48 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -96, -49, 108, 411, 896, 1599, 2556?\nAnswer: 3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 6. Let c be b(-6). Let n be c\/(-8)*-1 + 3. Is n at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**(-4))\/u)\/u)**(-2\/25)\/((u\/u**(11\/5))\/(u\/(u**(2\/29)*u))) assuming u is positive.\nAnswer: u**(1052\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3356 + 13890. What are the prime factors of p?\nAnswer: 2, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 32\/(-8) - -1926 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40 - 19 - 259*v**2 + 906*v**2 - 4*v + 3*v + 77 wrt v?\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z = -30. What is the smallest common multiple of ((-48)\/(-32))\/(2\/4) and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357561 and 101133.\nAnswer: 236347821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 22*i**3 - 88*i**2 + 8*i + 9. Is m(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 + 792 + 43*g**4 + 144*g**3 - 50*g**4 - 790*g**2 + 22*g - 166*g = 0. What is g?\nAnswer: -1, 1, 6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:10 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240056 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 220676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100189317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 123*i**2 - 1. Let q(h) = -124*h**2 - 3*h + 1. What is 6*g(k) + 5*q(k)?\nAnswer: 118*k**2 - 15*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 147*b**2 - 5309*b + 260151. Calculate p(49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 19*s**2 + 54*s - 14. Let k be v(-15). Solve k = 7*q + 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1900) + -2) + 1 + sqrt(1900) + -5 + 2 + (-3 + sqrt(1900))*6)**2.\nAnswer: -160*sqrt(19) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*n - 190*n - 1364 = -42*n for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 97. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27230 (base 8) in base 5?\nAnswer: 340203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9676114ml?\nAnswer: 0.0009676114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.2. Let c = -337.6 + 337.5. Put 1\/2, -4, d, c in descending order.\nAnswer: 1\/2, c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n - 9059 + 9059 = 0. Suppose 39 + 25 = -4*g. Put -5, n, g in increasing order.\nAnswer: g, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08132 times 18.5\nAnswer: 1.50442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 316 + 849a?\nAnswer: 8805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/50)\/(108\/45)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 36*q**2 - 330*q + 12. Determine h(-18).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**11\/d*d**(-9\/7))**(7\/4))**(2\/51) assuming d is positive.\nAnswer: d**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 16*x\/3 + 14\/3.\nAnswer: 2*(x + 1)*(x + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 3*g**2 - 5*g - 2. Let i be v(-1). Suppose 3*l - i = -0*l, 5*l = -5*b + 275. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-153)\/12)\/(-17).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1492*b**5\/5 + 1025*b**2 + 1761*b. Differentiate d(v) wrt v.\nAnswer: -17904*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.127+-1219467911\nAnswer: -1219467910.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-67)\/5. Let i(q) = -3*q + 7. Let p(l) = -l**3 - l**2 - 2. Let o be p(0). Let c be i(o). Calculate the greatest common factor of r and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26131*w**2 - 6754*w**2 - 6529*w**2 - 6618*w**2 - 6533*w**2.\nAnswer: -303*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29297\/9 + -3255. Let q be (-10)\/15 - (12\/9 - -2). What is the nearest to q in 3, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 6 - 13*z**3 - 2*z**2 + 6*z - 3 in the form d + q*z**3 + g*z + u*z**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 8*w - 8. Suppose -4*z - w*z = -54. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*l + 42, -2*s = -5*l - 4 - 32 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35624 or -35625?\nAnswer: -35625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819216.\nAnswer: 2, 176201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1054 + -4348. List the prime factors of (-24)\/(-204) + c\/(-34).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1527*w - 50 = 1552*w, 4*k - w - 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -42. Suppose 3*j - 26 = 4*h + 1, -2*j - 5*h = 5. Let v be (-1 + 1)\/(0 - -1). Put g, 1, j, v in increasing order.\nAnswer: g, v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, t: 3, i: 2, s: 3, y: 3}. What is prob of sequence mtyt?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41555 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30790095 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/42)\/((40\/(-175))\/8). What is the closest to 0.2 in q, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3308 - 3308 - 2121*v**2 + 25*v**3 - 440*v**2 - 378*v**3 wrt v.\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2336 (base 11) in base 8?\nAnswer: -5770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.39 - 105.61. Let n = -1206069 - -1205960.9913. Let g = n - p. Round g to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5b2 (base 13) to base 15.\nAnswer: -6c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let w(m) = 15*m + 3. Let l(s) = -s**2 + 14*s - 47. Let j be l(4). Let g(f) = -7 - 29*f - 3 + 3. Let a(n) = j*w(n) - 3*g(n). What is a(i(p))?\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*l - 154.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1)\/5 + (-3)\/(-15). Suppose i = 2*c + 2, -4*g - 7*c + 315 = -2*c. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9792744341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 + 4*u + 8. Let v be w(6). Let n be 0 + 1 - 2 - v. Factor -3*d**3 - 2*d**n + 4*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + 1*sqrt(133)))*-2)\/(-5*sqrt(112)) + 1)**2*-3*-2*1.\nAnswer: -6*sqrt(19)\/5 + 357\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7869799 = 2*p + 10*q - 11*q, -p = -3*q + 3934897. Round p to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m - 3 + 410 = 13*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 285, 577, 869, 1161?\n\"Answer: 292*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*w**3 - 40*w + 1465 wrt w.\nAnswer: -261*w**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114 - -116)\/((-10)\/(-16)). Factor -z + 4\/5*j**2 + 0*j.\nAnswer: 4*(j - 2)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 59\/4 of a microsecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + (-39)\/(-15). Suppose -3*z = u*s - 432, -4*z + 276 = 3*s - 299. Calculate the greatest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2040262 + 110?\nAnswer: 2040372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaddddauauddaua. Give prob of picking 3 a.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/300*-5)\/((-22)\/(-55)))\/(1\/(-12)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = -3*k, -3*q + 19 = -2*k. Let j be (-12)\/(-18)*q\/2. Let i = j + 6. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 21 + 238*f - 7 - 176*f + 350*f.\nAnswer: 412*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6\/m)\/(m*m\/(m*m\/m**(1\/13)*m)*m)*(m**1*m)**(11\/3))\/((m**1)**(17\/3)*((m*m*m**(-2\/7)*m)\/m)\/m**(1\/5)) assuming m is positive.\nAnswer: m**(6928\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11248 less than -101236\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - h - 7 + (-47 - 124 + 11)*(-3*h + 0*h + h) to the form l + n*h and give n.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/(-826) - 4\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1922 - 0.8078. Which is the third biggest value? (a) -560 (b) 5\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2*i + 92. Let g = 47\/2 + i. Let u be ((-2)\/(-3))\/((-4)\/(-6)). Which is the closest to -1? (a) -4 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrccrjpr. Give prob of picking 1 p and 1 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 - (-1015)\/(-20). Let w = h - -146. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = -13040. Suppose -i = -3*g - g. Suppose -a = 4*n - g, -a + 5*a = -3*n + 621. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -35. What is the remainder when o\/(-21) - 1075\/(-35) is divided by (0 - 4)\/(2\/(-8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.6 and -15.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + x + 1. Let h(r) = -76*r**2 + 2*r + 2. Let o(m) = -h(m) + 2*p(m). Let a(k) = 2*k. Determine a(o(c)).\nAnswer: 160*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 38*n**2 + 3*n - 110. Let w be k(33). Which is smaller: w or -5457?\nAnswer: -5457","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 + 22*v**2 - 5*v - 8. What are the prime factors of a(6)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + 0.7. Suppose 4*m - 8 = -2*s, -11*s + 10*s - 16 = -3*m. Sort 0, p, -0.1, m in increasing order.\nAnswer: -0.1, 0, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -1\/14 (b) -2 (c) 1\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 + 345*q - 26*q + 124*q. Let u be c(7). What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -774.83 + 777. Let a = 2.47 - y. Let z = -2 + 1.9. What is the nearest to 0 in -3, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - (sqrt(208)*-2 + 0)**2 - (-2 + sqrt(208) + sqrt(208) + -1)**2.\nAnswer: -1673 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-16*4\/(-768).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3 + 3)*(-380*m - 368*m - 9 - m**2 + 750*m).\nAnswer: -5*m**3 + 10*m**2 - 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2356860 and 27.\nAnswer: 21211740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -134413100 (base 5) to base 8\nAnswer: -2531141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3 - 211 - 120*n + 3*n**3 + 113 + 97 + 31*n**2 wrt n?\nAnswer: -6*n + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10859875 is divided by 4411?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (305*y + 359*y - 582*y)*(-26 - y + 16 + 0*y) + (0*y + 0*y - y)*(0*y + 5*y - 2*y) to o*y + i + z*y**2 and give o.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.1923 millennia in years?\nAnswer: 825192.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 b, and 1 r when four letters picked without replacement from {y: 2, r: 2, d: 1, j: 5, b: 4}.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954199 to the power of 1\/2, to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.4, -1\/3, -0.3, 0 in increasing order.\nAnswer: -2.4, -1\/3, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -5*v + 75. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*sqrt(3)*-1 + sqrt(3)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 144850.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1978\/1196 + (-4)\/26)*(-71630)\/1653.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*l**4*v - 70*l**2*v**2 + 2*l*v**2 + 71*v**2 + 79 wrt l?\nAnswer: -1368*l**2*v - 140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -956, -3600, -7972, -14066, -21876, -31396, -42620?\n\"Answer: z**3 - 870*z**2 - 41*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose p = 3*k - 7*k + 100. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004734477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y. Let a(w) = -4*w**3 + w. Let j be a(-1). Let q be t(j). Differentiate 43*n**3 - 43*n**3 + q*n**4 + 22*n**4 + 17 with respect to n.\nAnswer: 112*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/21 - (102\/(-36) - (-2 - (-20 + 11))). Factor g*z + 19\/6*z**2 - 5\/3 - z**3.\nAnswer: -(z - 5)*(z + 2)*(6*z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 78 = -3*r - 3*l, 0 = 4*r - 4*l - 188. Suppose 18 = -11*k + r. Suppose -k*b + 320 = -10. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38 - 109*d**2 - 7*d**4 + 43*d**4 + 105*d**2 with respect to d.\nAnswer: 144*d**3 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1133*j + 12.\nAnswer: 1133*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and 80\/1221?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -38 in descending order.\nAnswer: 2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 39*y**2 + 3*y**2.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:06 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 510*k - 13005.\nAnswer: -5*(k - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/82*(-2)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(85) + sqrt(85)))\/sqrt(5).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 = 3*u, 3*b + u = 1 + 2. Let r be -3 + (b - (-10)\/8). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*x**2 - 65*x + 65*x + (26*x - 2*x + 7*x)*(-x - x + 3*x))*(2 - 2 + 2*x).\nAnswer: 382*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 33 = -3. Suppose -j*a + 5 = -9*a. Suppose -48*i + 51*i = 0. Put a, i, 12, 1 in ascending order.\nAnswer: i, 1, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - 0) - (-42 + 46).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302818223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 2*w + 4. Calculate the smallest common multiple of 8 and s(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2 + 4138*z - 2063640 = 0.\nAnswer: 580, 3558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17535233\/91701 + 4\/10189. Let y = i + -191. Which is smaller: -5\/3 or y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 233*q**3\/6 - 7*q**2\/2 + 14*q. Let s be x(-1). Let k = s - -399. What are the prime factors of k?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -319034 - -1?\nAnswer: -319033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(1 + (-4 - -2)) + 1235. Let p(c) = c - 17*c - u + 1303 - 2*c. Is 23 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224793 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5620*q + 1481*q - 633*q - 373*q as y + g*q and give g.\nAnswer: 6095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = -3*t - 4, 2*t - 40 = 2*c. Let g(h) = -8*h**3 + 18*h**2 - 25*h + 24. Let s be g(c). What is s rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-294 + 19*x + 294)*(x - 2*x + 2*x + 0 + 0 - x + (x + 2 - 2)*(-2 + 3 - 3) + 3634 - 263*x - 3634) as m*x**2 + n*x + p and give m.\nAnswer: -5035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 20, 4 in increasing order.\nAnswer: 4, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024458 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 + 1852*q**3 - 186 - 592*q**3.\nAnswer: 1260*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-48)*7*(-28)\/294*3?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 5*i - 29, 9*h = 8*h - 4*i + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102122 + 10201?\nAnswer: -11021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) -5\/1372718\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 - -12.4. Let w = f + -14. Sort -1, w, -3.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -4404201?\nAnswer: 4404134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 6197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 166\/10 - -2. Let y = -21 + m. What is the closest to 0 in y, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11788600 to the nearest ten thousand.\nAnswer: 11790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*c + 40425 = -179*c. Is c bigger than 8085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -17\nAnswer: 56\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 321280 = 321847 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 351.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4056426586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/136560 and 143\/310800.\nAnswer: 176845200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54604*q + 1904 = -54536*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22*g**3 + 116*g**2 - 456*g - 603. Let p(b) = 5*b**3 - 29*b**2 + 114*b + 150. Let i(t) = -2*a(t) - 9*p(t). Determine j, given that i(j) = 0.\nAnswer: -1, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952746 and 46276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5*1.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 = -10*g + 438 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 172\/32 + (-3)\/8. Factor -d*y**2 - 2*y**4 - 5*y + y**3 + 4*y**3 + 7*y**4.\nAnswer: 5*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12)*1)\/((-6)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/7*h**4 + 0 + 9\/7*h**2 - 4\/7*h**5 + 26\/7*h**3 - 4\/7*h = 0. What is h?\nAnswer: -1, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264163 + 104?\nAnswer: 264300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1230.3 - -1319. Let k = g + -89. Sort -0.06, -8, k in increasing order.\nAnswer: -8, k, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)*(-259 + -4 - 5). Let g be (-7 - l\/22) + (-4)\/22. Solve -3*x - p = -3 + 10, -g*x + 4*p - 40 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101598.19 rounded to the nearest 10?\nAnswer: -101600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 2.314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3*y**7\/7 - 4*y**3\/3 + 5. Find the third derivative of i(k) wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.976\nAnswer: -3.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -62*v**2 + 43*v - 67. Let w(k) = -15*k**2 + 11*k - 15. What is -2*j(q) + 9*w(q)?\nAnswer: -11*q**2 + 13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -147*z + 74*z - 50 + 29*z**2 - 16 + 75*z - z**3. Calculate o(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5559 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1101001011000000000011 (base 2) to base 11\nAnswer: 1a49269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -1.7 (b) 5 (c) 0.18 (d) 171 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2554712468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214823197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19258268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 37*k + 3. List the prime factors of p(4).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 533074, 1066024, 1598974?\n\"Answer: 532950*h + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121088 is divided by 1755.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*-14 - 2\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 514674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/77433 and -38\/481293.\nAnswer: 234389691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*p + 16 = 0, 0 = 4*l - 0*l - 3*p + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p + 3*q - 7 = 0, -3*p - 5*q = 3. Suppose -p*w = -0*w - 12. Let t = -0.9 + -2.1. What is the biggest value in 4, w, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/8 - 3*b**2\/8 + 11. Determine a so that x(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733393 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.89 + -0.89. Which is the closest to f? (a) 2\/7 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 11. Let b(p) = -1. Let z(q) = 22*b(q) + 2*i(q). Let j(c) be the second derivative of 1\/3*c**3 + 0 - c + 0*c**2. What is j(z(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 1\/6 (c) 39.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021374 is divided by 14591.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27*(-54)\/936*13*(-396)\/(-6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 817.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5\/86, -7, 1\/43?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31815, 31816, 31817, 31818, 31819, 31820?\n\"Answer: i + 31814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918106 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(190) - -1*2*sqrt(190))\/((sqrt(90) - sqrt(90)*1) + sqrt(10) + sqrt(10)) - (sqrt(76) + sqrt(76) + sqrt(76) + -1 + -2)*1))**2.\nAnswer: -432*sqrt(19) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12019044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179 in -1\/2, 2.466, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*((r*r*r\/r**0)\/r)\/r*r)**(5\/17)\/(r**(1\/4))**(-39))**(1\/75))**(-16\/3) assuming r is positive.\nAnswer: r**(-964\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37 - 33) + (-22)\/4. What is the third smallest value in 2, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/24 + m**3\/6 + 193*m**2 - 2*m. Let k(s) = -s**2. Determine k(w(b)).\nAnswer: -b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*f + 65863*f**2 - 65888*f**2 - 243*f.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - -19) - (-83 - -128).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, 1 j, and 1 p when four letters picked without replacement from pejybpl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 657*g + 51185. Calculate l(-77).\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6069, -5652, -5233, -4812?\n\"Answer: p**2 + 414*p - 6484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(304)*-3*-5 + (sqrt(38)\/(4*sqrt(288)))**2)*-1.\nAnswer: 19\/2304 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3555 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 16172.3366?\nAnswer: -16172.4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 6 (b) 0 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2707855.\nAnswer: -2707857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2893*v = -2888*v - 7425. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15254?\nAnswer: 2, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {t: 3, p: 3, l: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q = 2*u + 31*q + 20, 24 = -3*u + 3*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 + 4 = 0, 0 = -q + 3*k + 1. Let y(l) = l. Let p be (-46)\/(-4) - (-2)\/(-4). Let b(f) = -3*f. Let v(t) = p*y(t) + 4*b(t). What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 314, 643, 1136, 1811?\n\"Answer: 3*p**3 + 55*p**2 - 3*p + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:24 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1336 divide 5403810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 + (1 - 3)). Let h = 1427 + -1422. Let g be (-25 + 30)*(w + 4\/h). Solve 2*y + 14 = -g*j, -2*y - j + 2 = 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2)\/(-23 + 21). Let z be ((-12)\/(-9) - c)*117. What is the greatest common divisor of z and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2884, -5768, -8652, -11536, -14420, -17304?\n\"Answer: -2884*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.55 (c) 11\/3 (d) -0.1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 17. Let w = n - 13.9. Which is the nearest to w? (a) -1 (b) -1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.081 - -33.919. Let v = -33.9 + i. What is the closest to -2 in 1\/6, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 55 = x, 2*s - 3*x + 4*x = 40. Suppose -3*w = -4*q - 13, 11*w - 13*w = -5*q + 3. Calculate the remainder when s is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -41*w - 41. Let x(z) = -169*z - 165. Give 26*g(j) - 6*x(j).\nAnswer: -52*j - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/522 and 39\/432680?\nAnswer: 3894120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3677562 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (6 - (-2 + 6))) + -12 + 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1377 - 0.3377. Let y = -10 + 12. What is the nearest to b in 1\/3, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 4, l: 4, y: 3, k: 3}. Give prob of sequence ycvc.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 - -63. Let y = r + 144. Let w = 1.2 - 0.9. What is the closest to -2 in w, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjr when three letters picked without replacement from {r: 2, j: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -12*p**2 - 7*p - 620. Let v(z) = -23*z - 6. Calculate -6*a(o) + 7*v(o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -7*c + 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4266189416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 + 11. Let v = -3 - 1. Let o(g) = 977*g - 977*g - 4 + 3*g**2. What is v*n(a) - 11*o(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103001314012 - -2?\nAnswer: 103001314014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-640))\/((-3)\/2). Let d(z) be the third derivative of -2*z**2 - 1\/4*z**4 + 7\/60*z**5 + 0 + 0*z - s*z**6 + 0*z**3. Calculate d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(17) - 1*sqrt(17)) + sqrt(17))*5)**2.\nAnswer: -150*sqrt(17) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.676 minus 391.253887?\nAnswer: -312.577887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 24 + 55*k - 74*k as m*k + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 1948*c + 13702. Calculate h(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.002, 5, 203, 1\/2, -13 in increasing order.\nAnswer: -13, 0.002, 1\/2, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 22*i**3 - 19*i**2 + 6*i + 6. Let d(o) = 44*o**3 - 39*o**2 + 13*o + 13. Let x(l) = 6*d(l) - 13*h(l). What is the third derivative of x(g) wrt g?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000451 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 136 - 150 + 19*y.\nAnswer: 19*y - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 321693 and 0.2.\nAnswer: 321693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.9. Sort -4, y, 1\/5 in decreasing order.\nAnswer: 1\/5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.10178733 rounded to 3 decimal places?\nAnswer: -1.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 237134*a**4 + 14059081989*a**3 - 112460325264*a**2 + 168686219628*a = 0.\nAnswer: 0, 2, 6, 118563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -63) + -66 + 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3111, -6154, -9127, -12030, -14863?\nAnswer: -17626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1515? (a) 3 (b) 0.1 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018736 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61393 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 676*u - 678*u + 7 to the form m*u + c and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*d + 20 = 0, -2*n + 0*d + 3*d - 15 = 0. Suppose -9*f + 395 + 217 = n. What is the least common multiple of 16 and f?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 - 120*i - 190. Let y be v(-28). Let u(z) = 10*z - 347. Calculate u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.074769 nanograms in milligrams?\nAnswer: 0.000004074769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 39707*f - 1.\nAnswer: -39707*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*w - 1 = -15, 3*x + 2*w = 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:41 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let m be 1\/d + 69\/(-9). What are the prime factors of ((-3)\/2)\/(3\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*4*(sqrt(209) - 4*sqrt(209)))\/(1*sqrt(99) - ((-1*sqrt(11) - sqrt(11) - sqrt(11))*1 + sqrt(11)))*6)**2.\nAnswer: 886464\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16034\/7 - -2284. Suppose 0 = -4*d - d - 6030. Let k = d - -4921\/4. Calculate the common denominator of j and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34292681659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 2*m + 275. Are m and -25 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 46. What is d(-21)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 319 = -241 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3733131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*x + 82 + 138, 4*x = -4*k + 272. Suppose -n = 4*n. Suppose 4*q - 48 - x = n. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6054?\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {t: 1, m: 3, y: 8, d: 1, r: 2, a: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(r*r\/(r\/(r*r**9*r*r))))**(-31)\/((r**3\/r)\/r*r**(-2\/11)*r**(2\/7)\/r*(r**(-3)*r*r)\/r) assuming r is positive.\nAnswer: r**(52660\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -281*b - 198 - 1506 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 2*r + 3*c, 0 = 2*r - 3*c + 277 - 700. Solve -40*t - r = -13*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + -3.8. Let p = -152.6 - -153. Let w be 3*((-4)\/2)\/(-2). Sort w, b, p.\nAnswer: b, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6404*n**2*p**2 - n**2*p - 8*n**2 - n - 2*p + 6 with respect to p.\nAnswer: -12808*n**2*p - n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 8. Suppose -i + 2*k = -10, 3*i + m*k = -0 + 3. Find the common denominator of 43 and (-9)\/2*i\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13b8854 (base 12) to base 11\nAnswer: 2275a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**4 + 12766 - 7*s**2 + 2*s**3 - 12766)*(2 - 1 + 1)*(20 - 7*s - 20).\nAnswer: 126*s**5 - 28*s**4 + 98*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(56)\/(sqrt(72)*1))**2 - (sqrt(21)\/sqrt(12) - ((sqrt(84) + (sqrt(84) - -1*sqrt(84)))\/sqrt(12))**2)).\nAnswer: -574\/9 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g + 2*g**3 - 21*g**4 - 3*g**2 + 4*g**3 - 6*g**3 + 2*g**3 wrt g?\nAnswer: -504*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/313102 and 23\/40?\nAnswer: 6262040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15622 from -326946.\nAnswer: -311324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 1, w: 1, g: 3, d: 3, j: 4}. Give prob of picking 1 h and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.93 - -18. Let s = -1.07 + w. What is the biggest value in -0.3, s, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + 186\/(-15). Let v(k) = k**2 + 11*k - 6. Let s be v(f). Is (-30)\/(-10)*28\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935*i = 1056*i + 1452 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34 - 2.66. What is the nearest to -2\/3 in 1\/3, -7, 0.5, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3391, -6805, -10233, -13681, -17155, -20661, -24205, -27793?\nAnswer: -31431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11252797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14007 - -9730. Let x = q + -23735.1173. Let o = x - 1.9. What is o rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + w - 5)*(-3290 - 891 - 4230) in the form p + o*w and give o.\nAnswer: -8411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*a - 9, -a + 68 = 5*s + 4. Suppose -l + s*r + 326 = 11*r, -r = -5*l + 1675. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 579 and -3.591?\nAnswer: -2079.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22295 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 290 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -959 + -a?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0 - 16. Let s(u) = 8*u + 6*u**2 - c - u**3 - 4 + 2. What is s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7397729 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 55.803?\nAnswer: -55.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/216, -2\/17, 1\/3?\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 2*y, 3*j + 8 = 7*j + 4*y. Let z be -1 - (-1 + 42\/j). Let a = z + 26. Calculate the smallest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*u + 24, -1491*u + p - 26 = -1496*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -24.8933.\nAnswer: -25.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84c (base 13) to base 12\nAnswer: 9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2 + 6, -f = 2*i - 12. What is the smallest value in f, -3, 7.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/17)\/d**30 assuming d is positive.\nAnswer: d**(-512\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/23244 and 7\/78.\nAnswer: 23244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 16 = 5*z. Suppose 0 = -z*d + 2 + 18. Suppose 0 = -3*t - d*u + 57, 2*u - 63 = -4*t + u. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307258.98 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 - 6 = -4*v, 6 = 3*v - 3*o. Let h(j) = j**3 - 6*j**2 + 7*j + 1. Let y be h(5). Sort v, -5, y in decreasing order.\nAnswer: y, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -44, -20, 14?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/60 - (-234)\/65) + 99\/(-30)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1375\/(-75))\/(20\/(-36)*3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 820*r + 6693. Determine d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b + 136. Let f be z(-12). Let h = f + 44. Solve 10*a = h*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958371 + 958390 + 5*o**3 - 1916761.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) - 36\/(-8). Suppose 3*k - 3*n - 80 = 142, 5*k + i*n = 415. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-90))\/(28\/84)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -20*u + 48. Suppose u*w + 55 - 45 = 0. Let c(i) = 3*i - 8. Let g(j) = -2*j + 7. Calculate w*g(x) - 4*c(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -261 (b) -28\/3 (c) -2\/15 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 7*p + 5. Let d(c) = -c + 1. Let t be d(-5). Let k be h(t). Let n = k - -363. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 - 286 - 104*o**2 - 4*o + 170 + 220 = 0. Calculate o.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 8*r + 24. Suppose s - 23 = 4*l + 2*s, -4 = -3*l - 5*s. Let h be c(l). Let x(n) = 6*n + h*n - 22*n - 2. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - -19)\/((68\/459*9)\/(2\/(-3)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/10)\/((14\/4)\/7). Which is the closest to -1? (a) -3\/4 (b) 4\/5 (c) -5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i + 132 = 0. Let n = -28 - i. Suppose -3*d - 3185 = -d - 3*q, n*d + 7990 = 2*q. Round d to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 99, 120, 157, 216?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let x be ((-9)\/(-3))\/(6\/(-4)*-2). Let y be (-4 - 16\/(-4)) + (x - -2). Solve s = -q + y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**(3\/5)\/m))\/m*m)**(-31))**(-2\/77)*((m\/m**(-2\/7))\/(m**2*m))\/(m**(-8)*((m*m\/m**(4\/3)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(7087\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1826531 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u**3 - 8*u**3 + 7*u + 19*u**3 + 10*u**2 - 16. Let k be h(-9). Sort 6, k, -3 in decreasing order.\nAnswer: 6, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + r**3 - 2*r + 2*r**3 as p + k*r + a*r**3 + o*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 1497, 1489, 1481?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1310 = -3*p, 14*t - 16*t + 868 = -2*p. Which is the third biggest value? (a) -0.2 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43656328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 8. Suppose z - 2*o - 1 = 0, 3*z - 2*o = 6 + 9. What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 16*p**2 + 0*p**2 + (p - 2*p - p)*(4 + 1 - 7)*(-3*p + 2*p - 3*p)*(5 + 0 - 3).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -565094 minus -1012.236?\nAnswer: -564081.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 - 211. Let w be 10*(-5 - (-434)\/(-216) - -7). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21234, -42469, -63704, -84939, -106174?\nAnswer: -127409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98503 is divided by 835?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {d: 8, f: 2, r: 5, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-7) + (6500\/28)\/5. Let g = j - 42. Suppose g*r + 2*q = 1948 - 740, -5*q + 588 = 2*r. Does 45 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 1204 = -2*b + 48*h, -h + 2435 = 4*b. What is the highest common divisor of 76 and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:01 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r. Let k be q(-4). Suppose 4 = -5*a - 0*h + h, k*a + 20 = 5*h. Let c be 0\/(a - 2) - 2600000. Round c to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-208) - (-57898)\/(-26). Let v = -1030 - z. List the prime factors of v.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbbbbbbw. Give prob of picking 2 b and 1 w.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 13 - 4. Let f be (1 - -87)*6\/12. Let b = f - t. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-1113)\/(-133560)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/11335400 and 83\/20410?\nAnswer: 147360200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.071773 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 29, -2594, 1, -5, 2 in increasing order.\nAnswer: -2594, -5, -2, 0, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r. Suppose r*a + 239 = 3*a - 5*u, -10 = -5*u. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 39*l**2 - 25*l - 22. What is the thousands digit of m(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 3 = 122. Let c(y) = -10*y. Let o(u) = -9*u. Let k = 12 - 7. Suppose -3*z = 3*p - 9, k*z - 5*p - 32 = 13. Calculate i*o(j) + z*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 708 + -433. Suppose 0 = 3*i + 3*f + 2*f - 2, 0 = -2*f - 4. Suppose -i*o = o - g. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 117881515 = 3*q, 20 = -0*q - 4*q. Suppose l = 7*b - 39423700. Round b to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j + 745. Let g be t(-5). What is the highest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -101580 + 101580 + 5*u. Let l(c) = 185*c + 6. Give l(h(g)).\nAnswer: 925*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 88. Factor -20 + 29*d**2 + m - 30*d**2.\nAnswer: -(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28877, 3, -1\/3, 0.4, -0.06 in decreasing order.\nAnswer: 3, 0.4, -0.06, -1\/3, -28877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*d = 4*d + 106, -5*d - 145 = -4*a. Suppose -7*j + 8*j + 51 = 0. Let i = j + 86. Do a and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 14) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + w = 6*w - 4, 0 = -u + w - 2. Is u less than -9\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 0*z)*(-451 + 451 - 60*z**3).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 71 + 19. Let s(z) = z**3 - 19*z**2 + 21*z - 45. Let h be s(o). Let w(i) = 23*i - 14*i + 68*i**2 - h*i. Let u(q) = 2*q. Determine w(u(b)).\nAnswer: 272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 4. Let d(p) = -p**2 + 4*p + 2. Let i be d(4). Let z be (21\/3)\/1 - i. Let x(c) = 2*c - 5*c + z + 0*c - 2*c. Determine 3*k(r) + 2*x(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5652606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*h - 6)*(-2*h + 4*h - 3*h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.3 (c) 2846 (d) -0.2 (e) -0.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w\/(w**3\/w))\/w)\/w*w)\/(w**(-4)*w*w))\/((w**(2\/3)*w)\/w**(2\/7)))**(-3\/4))**(-2\/97) assuming w is positive.\nAnswer: w**(-29\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -9*f**5\/4 - 41*f**4\/8 - 3*f**2 + 3. Find the second derivative of o(p) wrt p.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/125*(-610)\/8*-52.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:51 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x**3 - 11*x**3 - x**3 + 8*x**3 - 2*x.\nAnswer: 81*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 7 + -17 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8601679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 20. Let m be 2\/10 + (-316)\/(-20). Let c = m + d. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 27. Let g be k(-23). Suppose -g*m - 1478 = -w - 18*m, 0 = 3*w - 5*m - 4432. What are the prime factors of w?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -22.999664. What is l rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -103*(0 + 1) - -1. Let l(w) = -47*w + 233. Let r be l(5). List the prime factors of ((-1)\/r)\/((-3)\/p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let t = d + 0. Let p = 2 - t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30621150 to the nearest integer?\nAnswer: 5534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 605 (base 7) to base 5\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c - 140 = 53*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 221\/7 - 6\/(-14). What is the common denominator of (8\/j)\/(10\/68) and -43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((1 + sqrt(192))*-4 + (sqrt(192) - 2*sqrt(192)) + -4)*4 - (sqrt(192) + 2 + -4 + (2*sqrt(192)*-6 - sqrt(192) - sqrt(192)))))**2.\nAnswer: 3248*sqrt(3) + 10249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3072 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + l + (-l - 4*l + 3*l)*(-1 + 2 + 0))*(-l + 2 + 2*l + 0*l).\nAnswer: -4*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, g: 2, p: 5}. What is prob of sequence gp?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4639921 to the nearest integer?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 53057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945596?\nAnswer: 2, 3, 73, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 442860*d.\nAnswer: d*(d - 1771440)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + v**5 - 2 + 0*v**5 - 3*v**5 + 4*v**5 + (v**4 - v + v)*(0*v + 3*v - 2*v) - 4*v**3 + v**3 - 2*v**5 + 2*v**3.\nAnswer: v**5 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -16. Let t = -8779 + 8809. Calculate the remainder when t is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 875 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9190 - -11070. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1039*r**3 + 0*r + 0*r**2 + 0*r**2 - 12 - 3*r**2 - r - 3*r**4 + 1038*r**3 in the form n + y*r + i*r**2 + v*r**3 + o*r**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7090379 or 15?\nAnswer: -1.7090379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21353.\nAnswer: 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1520213 - -3?\nAnswer: 1520216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/11)\/k)\/k**(3\/10))\/(k*k\/(k\/k**(1\/8)))**(-19\/3) assuming k is positive.\nAnswer: k**(3123\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 76*n**2 - 256*n + 176.\nAnswer: 4*(n - 2)*(n - 1)*(n + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = -2*b + 4*b. Let n = -171 - b. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*112\/416\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (4 + (sqrt(275) + sqrt(275)*-2)**2 - sqrt(275)) + 5 + -1).\nAnswer: -1128 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4725 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1529670643 + 6\nAnswer: -1529670637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2089 + 71190. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66097259?\nAnswer: 839, 78781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**5 + 2*j**4 - j**2 - j + 1. Let g(o) = -5*o**5 - 27*o**4 + 113*o**3 - 216*o**2 + 129*o - 3. Let d(f) = 3*b(f) + g(f). Factor d(p).\nAnswer: p*(p - 14)*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228044058?\nAnswer: 2, 977, 628477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/24 and 13\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 2 o when four letters picked without replacement from lmnolonnnnnnolmmmnon?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20592*c**3 - 4*c**2 - 218?\nAnswer: 123552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208976796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315416 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: Round -0.05062796 to 3 dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -b - 992, -41 = 2*l + 2*b - 2029. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x = 68*x - 11665. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58.3 - 58.4. Let z = 2.09 + 1.91. Which is the third biggest value? (a) z (b) 1 (c) q (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 + 1346\/7. Let t(s) = s**2 - s - 2. Let c be t(2). Let x(u) = -u**2 + u - 4. Let y be x(c). What is the closest to r in -1, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-6))\/v**(2\/5))\/(v**(-1\/4)\/v**(-3\/7)))\/((v*(v\/(v\/((v\/v**(6\/5))\/v*v)))\/v)\/v*v**(1\/9))**(2\/53) assuming v is positive.\nAnswer: v**(-369793\/66780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 1. Let w be v(1). What is the third derivative of 38*z - 38*z - 5*z**2 - 13*z**5 + w*z**2 wrt z?\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.319 + -4318.82.\nAnswer: -4319.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-12)\/15)*((-16520)\/(-600) - 27).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 3. Let b be (k - (-32)\/(-6))\/(20\/(-30)). Suppose 0 = 3*o + 4*l - 32, 2*l = 4*o - 42 - 30. Solve 0*c - 4*c + o = b*s, -2*c = 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 + 688*u**2 + 696*u + 14. Let s(b) = 2*b**3 + 229*b**2 + 232*b + 5. Let d(k) = 5*p(k) - 14*s(k). Find n, given that d(n) = 0.\nAnswer: -116, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/3 - 5) + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/29? (a) 0 (b) 1 (c) 0.28 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -10. Solve -13 = -4*d - f*c - 0*c, -d = -5*c - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 580 = -2*l - 561, -2*l + 2*y = -0*y - 12 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssswwwsjsbjbsssbjwb. What is prob of picking 2 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*i + 3*i + 65, 0 = -3*n + i + 61. Let o(w) = -w**2 + 21*w - 14. Let g be o(n). Let c be 1\/3 + (-2)\/g. Solve -2 = -c*z + z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301444 (base 5) to base 12.\nAnswer: -56a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:20 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -2 - 1) - (1045 - 1041).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365301830.\nAnswer: 2, 5, 31, 1178393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2710664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9379210*g**5 - 2*g**4 + 1507*g**2 + 101*g - 2 wrt g.\nAnswer: -562752600*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24.3, 5, 7\/34, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 13*z**2 + z**2 - z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 15*j**2 - 16*j + 2. Let f be b(16). Suppose -f*l + 3*h + 5 = -0*l, -2*h - 4 = -2*l. Which is smaller: l or 10\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-13)\/(52\/834)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 0*s + 3*s + 2*s - 2*s. Suppose u - 2*u = 0. Let q(f) = -3*f - 2 - 2 + 0 + u. Give o(h) - q(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 18 = g. Let j(x) = x**2 + 10*x + 6. Let u be j(g). Is 1 + u - (-258)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-13))\/y)\/(y\/y**19)*((y**(-4)\/y*y)\/y)**(10\/13) assuming y is positive.\nAnswer: y**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:12 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d, 7*u - 3*d - 10 = 3*u. Solve -5*v + u + 14 = s, -2*s = 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2443192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4. Let v be p(-3). Let s = v - 11. Suppose 3 = -c + s*c. Calculate the greatest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d + 2*d - 3)*(2 + 26 - 13)*(-30*d**2 + 1249*d - 1249*d + (1 + 2*d - 1)*(0 + 0 - 2*d)).\nAnswer: -1020*d**5 + 1530*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 24736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 25*z + 12. Determine y(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 2, b: 1, l: 1, w: 2}. What is prob of picking 2 n and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 - 1)*(-8*j - 5*j - 12*j).\nAnswer: 175*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 68 = 0. Suppose 0*h + 2*h = -2*f - 998, -4*h + 4*f = 1956. Calculate the remainder when h\/(-10) - (-2)\/(-5) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134454.89 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -55. Let o = j + -49. Suppose -b + 6*b - 85 = o. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 19 = t, 2*q - t - 16 = -2*q. Let d(i) = -i**3 + 2*i**2 + i + 2. Let c be d(q). Let h = 0 + 4. Sort c, h, 3 in ascending order.\nAnswer: c, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**0*o)\/o)**45)**42)**(-22) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595602 divided by 3.\nAnswer: 198534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*y - 2 - 3, 0 = -2*y + c - 2. Let b be (9 - 7)\/(2\/y). Determine n so that -48*n**4 + 45*n**4 - b - 5 - 27*n**2 + 15*n**3 + 21*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 7*b**2 - 5*b**2 - b**2 - b**3 - b - 17 + 8*b**2. What is k(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136.061 - -136. What is s rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53397+70.0754\nAnswer: 53467.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31608, -31610, -31612?\n\"Answer: -2*k - 31606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 43*n**2 + 92*n - 7. What is the lowest common multiple of r(2) and 69?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/15924073 and -71\/6923510.\nAnswer: 159240730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2424 + 7201\/3. Calculate the common denominator of p and 99\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(21\/(-70) - 68\/(-85))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232746247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:22 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -0*j. Put j, 1, 0 in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 - 11*z**2 - 7*z + 11. Let s be l(4). Put -4, s, -101, 2 in descending order.\nAnswer: 2, s, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43533063 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 601232?\nAnswer: -601233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let q(k) = 2*k - 5 + 3*k + 5. Determine q(u(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 9*p - 7*p - 5*w, 4*p - 20 = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 603. Suppose -3*t - 57 = -n. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48818 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4 and -79\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4201123 rounded to four decimal places?\nAnswer: -0.4201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7583470 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1138682, -1138824, -1138966, -1139108, -1139250, -1139392?\n\"Answer: -142*k - 1138540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from 2438.\nAnswer: 2438.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btuu when four letters picked without replacement from utvuutttbwtt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*f**2 - f**4 + 2 + 3*f**3 + 4*f**3 - 6*f**3 to h*f**4 + t*f**2 + z + b*f + j*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5021 is divided by 201.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 13*k**3 + 36*k - 136. Find the first derivative of o(w) wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 70083\nAnswer: -5\/70083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-i - i - 4*i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1090 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-517)\/(-235)*((-24)\/(-6) + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let g = d - 1. Let x = g + -2. Which is the third biggest value? (a) -1\/12 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80001.261 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2442797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -777\/25451?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 2, 3, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from oroiorioorqi?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617.04 + 1.96. Let a = w - 743.5. Round a to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-126))\/(-2))\/(2\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -0*o + 154. What is the greatest common factor of 154 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -376, -38 in descending order.\nAnswer: 14, 5, -38, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 0*u - 1\/15*u**4 + 1\/450*u**5 - 3*u**2 + 4\/5*u**3. Factor n(q).\nAnswer: 2*(q - 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*g**4*x**2 + 2*g**3*x**2 - 188*g**2*x**2 wrt g.\nAnswer: 3312*g*x**2 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -29 - 6. Let s be (i + -1)\/((-17)\/(-34)). Calculate the greatest common factor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1096 (base 13) to base 15.\nAnswer: -a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(121)\/sqrt(11) + sqrt(11) + sqrt(11)) + 0.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9629 is divided by 647?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/7, -293076, -1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:44 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7. Let s(a) = 1. Let u(d) = -j(d) + 6*s(d). Let x(v) = -v - 3. Give 4*u(h) - x(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043502409 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1270, 1269, 1268?\n\"Answer: -q + 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 179\/(48867\/65)*12\/2\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6 - -2)*84\/(-154). What is the nearest to 33 in 4\/7, t, -5, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i - 21. Let g = 17 - i. Let m = 1 - 1. Solve -u + g = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f**3 - 4*f**2 + 4*f**2 - 32*f**3.\nAnswer: -78*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2310 and 6041.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1613 = 2*d - 3*h - 1276, 3*d = -2*h + 4314. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4\/5)*b*b)\/b*b**(-1\/7)*b)\/(b*b**1*b*b*b)**(-33))\/(((b\/(b**4*b))\/(b*b**(-3\/7)))\/(b\/b**4*b*b\/b**4)) assuming b is positive.\nAnswer: b**(5797\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 102, 107, 114, 123?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-21)\/q*q)\/(q**(12\/7)\/q))\/(q*q\/(q*q**(-1\/26))*q*q*q)**(1\/21))**(-18\/7) assuming q is positive.\nAnswer: q**(35883\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t**(-2\/15))\/((t**(-5)\/t)\/t*t*t\/(t\/(t\/t**(-4)*t))*t*t*t)*(t**9*t\/((t**9*t*t)\/t))**(4\/39) assuming t is positive.\nAnswer: t**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25022*m = -25013*m + 180 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8497, -8548, -8599, -8650, -8701?\nAnswer: -8752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 9. Is -10\/3 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130912873531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(1 - 3 - 16).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -43. Let t(g) = 4 - 7*g + y*g + 7*g + g. Let b(o) = 4*o**2 + 1. Let m be b(-1). Let c(r) = 2*r + 3. Calculate m*t(w) - 7*c(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-12)\/3 + 0). Calculate the remainder when (-25)\/(-5) + (4 + -4 - -44) is divided by (w\/(-10))\/((-4)\/(-130)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0749527 times 0.5?\nAnswer: 0.03747635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2289 - 2219. Which is bigger: -42 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.1 + -12.1. What is the nearest to -2\/7 in a, -2\/25, 1\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -29. Is y bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -749, -2841, -6325, -11201, -17469?\nAnswer: -25129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2575.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 36\/11*u - 101 - 2\/33*u**3 - 3\/11*u**2. Suppose p(n) = 0. What is n?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -46*q + 787. What is j(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 81708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2\/21 - 4449935\/(-5145). Solve 874*a = o*a - 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + 4*u. Let w be q(-5). Suppose 4*y + 3*f - 30 = 0, -y + 6*y = -w*f + 35. Calculate the smallest common multiple of 4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15)*(-90)\/12. Solve -c + 4*h - s + 6 = 0, 0 = c + 3*h + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -123. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4361 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, b: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042171043 rounded to seven decimal places?\nAnswer: 0.0042171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2107 - 77?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2*-2 + 5 + 0. Put s, 28, 0 in ascending order.\nAnswer: 0, s, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3377 = -86*y + 3587 - 1891 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, -179 in descending order.\nAnswer: -4, -18, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1562 - -4?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 4254*y**2 - 33888*y - 67680.\nAnswer: -3*(y + 4)**2*(y + 1410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 59040*a**3 - 326786400*a**2 + 803894544000*a - 741592716840000.\nAnswer: -4*(a - 3690)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1112 + 7786\/7. Let g = 61 - 51. What is the closest to g in 0.3, q, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 16*r + 24 = 0. Solve -r*l = 3*c - 11, -3*l = -8*l - 2*c + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 10 = 20*x + 2*t, 428*x + 4*t = 433*x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let q(j) = -j**2 + 8*j - 3. Let b be q(7). Suppose 2*a - b*f = 0, -3*a + 3 - 6 = -3*f. Sort a, x, 1 in increasing order.\nAnswer: a, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d*d*d**(2\/19))**(-13\/5)*d**(3\/2)\/d*d*d*d*d*d\/((d\/((d*d**(3\/4))\/d))\/d*d*d)*d*(d**(-2\/7))**(-1\/5) assuming d is positive.\nAnswer: d**(47969\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(2 + 153\/(-90))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*s - 7*t - 8, -2*s - 3*t = -43. Let y(a) = -s*a**2 + 2*a**2 + 8*a**2. Let w(i) = -28*i. Calculate w(y(b)).\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1312*a - 1307*a - 4*z + 10, -2*a + 5*z - 21 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97711, 97388, 97065, 96742, 96419?\nAnswer: 96096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 29 = -9. Let f(d) = d**3 - 5*d**2 + 4. Let g be f(m). Suppose -3*j = j - g. Solve 3*q = 5*x + j, -2*x + 4 = -4*q - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 362*w**2 - 21*w**3 - 792 + 213*w**2 - 2604*w + 127*w**2 - 109*w**2 - 11*w**2.\nAnswer: -3*(w - 22)*(w - 6)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m - 4*m - 1968. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00394679462 rounded to 7 dps?\nAnswer: -0.0039468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 506\/637 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1365480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135797 is divided by 369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1b978b3?\nAnswer: 1b978b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90844124 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 2048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -6570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 - 6*f**2 - 2*f + 7. Let u be a(-5). Calculate the highest common factor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 + 4*v - 1. Calculate the remainder when 111 is divided by q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3393682 divided by 36103\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*i + 215*i + 163*i - 513*i.\nAnswer: -710*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*t**4 + t**3 + 27*t**2 + 380519*t wrt t?\nAnswer: 804*t**2 + 6*t + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*0\/(7\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 8, -24 in descending order.\nAnswer: 8, 4, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.081 + -0.081. Let f = 40 - p. Let i = -1.7 + -0.3. What is the second smallest value in f, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqajfaau. Give prob of picking 1 q, 1 u, and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 - 340101?\nAnswer: -340016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25829 + -0.669. Let j = -1166.8 + 1167.21. Let g = j + n. Round g to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4640 - 4690 = -10*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**4 + 6*l**3 - 6*l**2 - l + 6. Let x(k) = 3*k**4 - 5*k**3 + 5*k**2 - 5. Let v(t) = 5*i(t) + 6*x(t). Find the second derivative of v(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5022232 and 44650.\nAnswer: 125555800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17.1. Let a = q - 0. What is the nearest to a in 4\/3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20377 and 1247015?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5509\/(-35) + (-2)\/(-5). Let c = -31 - g. What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 5. Suppose -5*w + 2*w - 5*o = -12, 0 = 3*o - 9. Calculate the least common multiple of 93 and i(w).\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536385 + -15858.\nAnswer: 520527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 218790 and 7738434?\nAnswer: 502998210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 9*z + 10. Give j(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) 2040 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = 4*r, 3*u = -3*r - 0*u + 15. Let v = -3 + r. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 2}. What is prob of sequence wddw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344 + 661. 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 -1186974.13 rounded to the nearest 1000?\nAnswer: -1187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.7146g to nanograms.\nAnswer: 13714600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, o: 4, e: 3}. What is prob of picking 1 q and 2 e?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3715\nAnswer: 2\/3715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from {r: 4, z: 1, t: 2, n: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/9 - 5194*p**2\/3 - 24198*p - 202202\/9 = 0. Calculate p.\nAnswer: -7777, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 408680803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 19*m**2 + 69*m + 49. What is s(-15)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 4*k)*(0 - k + 0) + (3*k - 4*k + 3*k)*(3*k - 5*k + k) + (-1 + 2 + 1)*(k**2 - 3*k**2 + 4*k**2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 27. Calculate the lowest common multiple of 27 and (-636)\/i + (-12)\/42.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2962, 2973, 2998, 3043, 3114, 3217?\n\"Answer: t**3 + t**2 + t + 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:07 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -1340\/7, -5 in decreasing order.\nAnswer: 9, -3, -5, -1340\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20329591.44 take away -5140?\nAnswer: 20334731.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -48, -65, -100, -159?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 65527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-6)\/(-42)*7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9106479?\nAnswer: 3, 337277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 9740. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - 2) + -3)\/(-1 + 69\/3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a + 4*a)*(2*a - 4*a + 5*a)*(-a + 2*a + 0*a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 0.296865896?\nAnswer: 0.203134104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598790 rounded to the nearest ten thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 3.72. Let o = 3.37 - i. Which is the nearest to 0.07? (a) o (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let j(n) = -n**2 - 10*n + 1. Let q = 10355 + -10356. Give q*j(i) + 5*m(i).\nAnswer: i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*h**5 - 6*h**4 - 40088*h**3 - 199659*h**2 + 2 wrt h?\nAnswer: -1080*h**2 - 144*h - 240528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -592 + 300 - 96*z + 292 as t + v*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(243) + -1 - (-2*(sqrt(243) + 0) + sqrt(243)).\nAnswer: 3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2376 and -43\/2079.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7300650 is divided by 68874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t. Let b(l) = -18*l**2 + 6*l**2 + 10*l**2 + l**2. Calculate b(p(g)).\nAnswer: -289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5\/23 (c) 3\/17 (d) 17.5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - r = 5*t - 35, 3*r = -15. What is the remainder when 6\/(-5)*-1*25 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42127 and 3681?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198849361 + 198849350 - 4*n + 8*n.\nAnswer: 4*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00492107802 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19122*f - 72 - 2 + 39 + 35 in the form g*f + r and give g.\nAnswer: 19122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/13 + 39996*a\/13 = 0.\nAnswer: 0, 19998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65189, -67682, -70175?\n\"Answer: -2493*d - 62696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/1383825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-20)*3\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -817 + 818. What is the nearest to 1 in -1, -4\/9, q, -4\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y + 43 = 8*y + 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/378)\/(1\/(-4) + 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029565555 to four decimal places.\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2371a (base 11) to base 8\nAnswer: -102537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 = -3*m + 5*t, -4*t = 4*m - 4. Let c be (737500\/15)\/(m\/1800). Suppose 2*y - c = -3*y. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427233 divided by 809.\nAnswer: 427233\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 3)*36\/(-2). Suppose 290 = -7*m - 60. Let p = w + m. Let x(g) = g**2 - 5*g + 3. Determine x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3342.3 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-93)\/(-6) - 1) + 3\/2. Suppose 4*x - x - 528 = 0. What is the highest common factor of x and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*v**2 - 354*v**2 + 145*v**2.\nAnswer: -379*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v - 30*v + 94619. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.15 - 2. Let b = -2152.8511 - -2153. Let k = r - b. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46370 is divided by 15451.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*u - 253 - 304, 0 = 3*u + 3. Solve -109 = b - j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/20 + g**2. Let a(x) be the third derivative of x**4\/4 + x**2 - 3*x. Give n(a(u)).\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-3)\/(-16). Let y = -1250 + 1249.6. Which is the smallest value? (a) k (b) y (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -29.1, -59.1, -0.4, 1, -1\/4, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-60))\/((-1)\/(-25)). Suppose 2*r + w*a = 2, -3*a + 7 = -4*r + 37. What is the second derivative of -r*u**5 + 7*u + 0*u - u**5 + 0*u wrt u?\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -21362388194472?\nAnswer: 21362388194469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 15, -7 in decreasing order.\nAnswer: 15, 8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3, -5, 2, -13 in increasing order.\nAnswer: -13, -5, -3, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or -0.62997?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -9.1. Let h = -0.3 - k. Let n = 54 + -54. What is the third smallest value in -2\/9, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -55*r**3 - 5*r**2 - 2*r. What is the hundreds digit of h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -2*q + 4*v, 85 = 5*q + 2*v. Let s = 23 - q. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043836044 rounded to 6 decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 + 0 + 5*r + 228.\nAnswer: 5*r + 697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/(-60))\/11)\/(1\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236*b - 142 + 1086 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - -14?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 26a92?\nAnswer: -26a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + (4*sqrt(102) + sqrt(102))\/sqrt(6) + 0 + sqrt(272))*-2*2.\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 22. Suppose 2*h + h - r*i = 15, 4*i = -h + 5. Let z(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 3*n**2\/2 + 7*n + 1. Determine z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - -42)\/(3\/(-2)) and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a6 - cd?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -17. Which is the biggest value? (a) 5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/10 + 27\/20. Which is the nearest to r? (a) 0.5 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose -c*s + 2*q = -6, -5*s + 3*s + 3*q = 3. Solve 4*y + 2*n - 12 = 0, 0 = n + s*n + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3179*v + 337637. Determine x(-110).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35789838*c**4 - 99839345?\nAnswer: 143159352*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15751, -15791, -15903, -16123, -16487, -17031, -17791?\nAnswer: -18803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(10\/9))\/(s**(-28)*s*s))\/(((s*s*s\/(s\/(s**(-1\/2)\/s)))\/s)\/(s*s*s**(-20))) assuming s is positive.\nAnswer: s**(191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 8*v - 25. Let a(p) = -3*p + v*p - p - 8*p. Let y(m) = 53*m**2. What is y(a(j))?\nAnswer: 212*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*g + 15, 3*p - p = -5*g + 27. Let v be (-2 + -1)\/p - 40. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - s**3 + 4*s**3 - 4*s**4 + 2*s**3 + 2*s**4 - 2*s**3 + s**4 + 4*s**2 - 4*s**2 + (-2*s**4 + 1 - 1)*(-1 + 3 - 4).\nAnswer: 3*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 4*a + 9. Let s(x) = -x**2 + 2*x - 4. Suppose 15*c - 29 + 104 = 0. Calculate c*s(n) - 2*w(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:58 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**3 + 27*k**2 - 4*k. Let u(b) = -5*b**3 - 13*b**2 + 2*b. Determine 3*t(z) + 7*u(z).\nAnswer: -2*z**3 - 10*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3 + 0 + 0)*(-2 + 2 + 2*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.522 - -0.18212.\nAnswer: -63.33988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38560 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 73.7. Let f = -31 + 36. Suppose -f*g + 16 = -b, -2*b = -b + 2*g - 12. Put t, -4, b, 0 in increasing order.\nAnswer: -4, 0, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/2 - 69*o**3 - 1415*o**2\/2 - 1143*o = 0. What is o?\nAnswer: -127, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4598560 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - -1 - (-6 + (2 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32682, 32037, 31392?\n\"Answer: -645*x + 33327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 1. Suppose 0 = -0*a - 3*a. Let h be z(a). Let t(i) = i**3 - 11*i**2 - 5. Let m be t(11). Sort m, 4, h in decreasing order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 1875\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989207167 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4042099*z**3 - 3*z**2 + 2705202*z wrt z.\nAnswer: -24252594*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/270)\/(-1))\/(42\/126).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11616538 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10125 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133)\/(sqrt(14)\/sqrt(2)) + sqrt(19)) - (4 + sqrt(2299)*-2))**2.\nAnswer: -240*sqrt(19) + 17116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -21)\/(-108) + (-1293988)\/(-24).\nAnswer: 2, 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + 3 + 1 - 3 + (1 + 0 + 1)*(-3 + 2 - 1))*(-3*j**5 - j**5 + 2*j**5 + (-17*j**3 + 11*j**4 + 17*j**3)*(4*j + 11*j + 4*j)).\nAnswer: -828*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -595, -599, -605, -613, -623?\n\"Answer: -l**2 - l - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5) - 28\/(-20). Let k be 12\/(-9)*(-45)\/n. Suppose -q = -5*j - k, -5*q = -3*q - 4*j - 48. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -697*w**6\/30 + 39*w**2 - 291*w - 1. Find the first derivative of n(y) wrt y.\nAnswer: -2788*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/7*(108\/15)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103343230*g**3*o**2 + 202*g**2*o**2 + g**2*o - 235*g**2 + 5*o - 1 wrt g.\nAnswer: 620059380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788.580787 rounded to one decimal place?\nAnswer: 4788.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -0.3, -0.6, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let g = -28 + 19. Let x = g - -12. Which is the nearest to -0.1? (a) j (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 465*w\/2 - 24108.\nAnswer: 3*(w - 392)*(w + 82)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5493311 is divided by 930.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:49 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - p + 7 = 3*k, -3*p = -5*k + 3. Let b(m) = -9 + k + 7 + m. Suppose -5*l - 5*v - 10 = 0, 0*v = 4*v - 4. What is b(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122651734 from -17.\nAnswer: -122651751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 422 and 2959\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6*m - v - 9, -5*v - 9 = -2*m. Is 10\/3 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26439*u**3 + 40820.\nAnswer: 79317*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512*w**4 + 5184*w**3 + 13442*w**2 + 1620*w + 50.\nAnswer: 2*(w + 5)**2*(16*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -1\/8 (b) 3 (c) -1\/4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 11*y**2 - y - 6. Let z be u(-11). Suppose -3*o = -j - 7, z*j = -o + 2*j + 9. Solve 5 = o*b + 5*g - 10, -2*g + 10 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372587 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*i - 4 = 0, -11*r + 16*r - 22 = -4*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 6*m - 6. Let s(k) = -6*k**2 - 17*k - 17. Let w(f) = 5*f + 1. Let c be w(0). Let o be (-10 - -9)\/(c\/2) - 9. Determine o*q(r) + 4*s(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, -331, -730, -1131, -1534, -1939?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -50, -73, -102, -137, -178?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 4*sqrt(85))*6)\/(-2*sqrt(405)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 + 3906*h + 7800 = 0.\nAnswer: -1300, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*f**4*w**2 + 10*f**2*w**2 + 4*f*w wrt f.\nAnswer: -1176*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11352427127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(77\/(-70))*5\/(-60).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2 - 3*k**3 - k**4 - k**5 - 4*k**4 + 2*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303 + 303 - g - 32*g**2 to the form p*g**2 + f + k*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 + 8. Determine x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -97. Suppose -5*x = -j - y*j + 370, 0 = 3*j. List the prime factors of (0 - x)*1\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -4 (b) -1\/3 (c) -1 (d) -2 (e) 2\/5 (f) -58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 6c960?\nAnswer: -6c958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {m: 7, f: 6, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (20 + -63 + 35)) + -21?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36252 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - 5 + 5 + (-3*c**2 + 3*c**2 - c**4)*(-4*c + 4*c - c) - 2*c**5 + 5*c**5 - 2*c**5 + (-c - c + 0*c)*(9*c**4 - 33 + 33).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 30. Let g(a) = a - 1. Give -4*g(i) - x(i).\nAnswer: i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let d be 360\/14 + (-4)\/(-14). Suppose -5*a + d = -g + r*g, -3*g + 29 = 5*a. Solve 0 = 8*p - g*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 0)*(-4 + 3 - 1) - 1 + 10 - 3 - 8 + 44 + 6 + 2 - 3 + 3)*(2*o**2 - 2*o**2 + 2*o**3) as r*o + z*o**3 + p + b*o**2 and give z.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 + 737 = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**(-6)))\/(w**(2\/15)\/w))\/((w*(w\/w**4*w)\/w)\/((w**(-4)*w)\/w*w)))\/(w**(-6)\/w*w**(-1\/7)*(w\/(w\/(w*w*w\/w**(-1))))**29) assuming w is positive.\nAnswer: w**(-12179\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*d = -24, 0*r - 8 = 3*r - 5*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 61 + 21 = 0. Let b(k) = -2*k - 12. Let i be b(-8). Let z = a - i. Solve 0 = -4*u + 3*g - 16, z = u - 3*g + 5*g + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120001322300 + 1?\nAnswer: -1120001322233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 2*l + 3, -4*l = 2*j - 14. Let k be j\/(1 - (2 + 0)). Put k, 4\/3, 4 in descending order.\nAnswer: 4, 4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**5 - 46*j**3 - 3266*j.\nAnswer: -340*j**3 - 276*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-18)\/783*-29.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -29. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 28 - 20. Suppose c = 4*s - 28. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1.408.\nAnswer: -5.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 + 1627. Let c(u) = -3*u**2. Give n(c(b)).\nAnswer: 45*b**4 + 1627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 + 105*g**2\/2.\nAnswer: -3*g**2*(g - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u**2 - 85*u - 101. Determine g(20).\nAnswer: 3799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + -4?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 44\/3. Let h be 10\/12 + 2\/(-6). Which is the nearest to f? (a) -2 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.051 (b) 7\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-943)\/246*9\/(-18)*4?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 466 = 2*i + 3*q, -233 = -i - 5*q. Suppose 0 = -5*u + 122 + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 119462.175 milliseconds?\nAnswer: 0.0013826640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76616695?\nAnswer: 5, 29, 528391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4718111525 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - i - 2. Let o be v(3). Let c be (3\/(-2))\/((-20)\/o). Suppose 4*z - 586 = 2*g, c*z + g = -2*g + 453. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 58*b**2\/7 + 8*b\/7 + 232\/7.\nAnswer: -2*(b - 2)*(b + 2)*(b + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1)*(0 + 1). Suppose -172 + 62 = -5*d - q, -d + 3*q + 6 = 0. What is the greatest common factor of v and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 4*m + 4*m + 7*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56995 + 0.2\nAnswer: 56995.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 192505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - 4*b**2 - 3*b - 24. Let q(w) = 3*w**3 - 2*w**2 - w - 8. Let f(k) = 2*d(k) - 5*q(k). What is f(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -16077?\nAnswer: -7\/16077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/82 and 29\/628060?\nAnswer: 25750460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 1513, 3412, 6071, 9490?\nAnswer: 13669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2695)*3)\/(-3*sqrt(180)*2).\nAnswer: -7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22.4. Which is the closest to -0.1? (a) 3 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2738419 or -2738455?\nAnswer: -2738419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*r + 1539, -5*f - 4*r = 4703 - 12254. Calculate the remainder when f is divided by 125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 + 13*t - 26. Suppose 13 = 2*i + 2*u - 3, 0 = 5*i - 3*u - 40. What is the tens digit of z(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 + 8*y + 7. Let n be r(-7). Suppose 2*f - 3*f - 101000 = n. Round f to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3*86\/(-1). Let b = 132 - m. Let a = b - 26. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**3 + 90672*f**2 + 225267420*f + 146273878800 = 0.\nAnswer: -27564, -1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -49\/15*g**2 - 28\/45*g**3 + 16 + 0*g - 1\/30*g**4. Find t, given that y(t) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -2\/13, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*d = 13, 3*a - 4*d - 73 = -114. Sort 2, -2, 5, a in descending order.\nAnswer: 5, 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwhwhhwwihhwhw. What is prob of picking 1 w and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -3) + 9 + (-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + r - 5 + 2 = 0, 5*k - 4*r - 24 = 0. Sort k, 0, -3, 3 in ascending order.\nAnswer: -3, 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*3*4 - 4*(sqrt(88) - sqrt(88)*-2))\/((sqrt(224) - sqrt(56))\/sqrt(7) - (-3*sqrt(392) - sqrt(392) - sqrt(392))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16454 and 480434.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/85)*v**(1\/32) assuming v is positive.\nAnswer: v**(21\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -31. Solve -3*c + 3*u - 22 = 2*c, 0 = 2*c - u + j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n + 53*n - 66*n as m*n + g and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2568 * 23.041\nAnswer: 5.9169288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5337573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34330 (base 9) to base 14\nAnswer: 8497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 - s. Let l be n(-1). Suppose u - l = -2. Let f = -152 + 1664\/11. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z*z*z*z\/(z**2\/z)*z\/(z**(-11)*z)*z**(-2\/17)\/z assuming z is positive.\nAnswer: z**(236\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7344 - -10405234886?\nAnswer: 10405242230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n*(n\/(n**(-7)\/n*n*n))\/n)\/n)\/n**(-1))\/((n\/(((n**(-1\/2)*n)\/n)\/n))\/(n**(-3\/2)*n)))**15)**(-1\/9) assuming n is positive.\nAnswer: n**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*w - 4 - 11 - 13*w + 11 + w - w - w - w + 2*w + w + (0*w + 2*w - w)*(1 + 2 - 2) + 0*w - w + 0*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237686701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let h(y) = -5*y**2 - 7185*y + 2. Calculate h(p(v)).\nAnswer: -20*v**2 + 14370*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*l*w**3 + 2*l*w**2 - l - 975 wrt w?\nAnswer: 27*l*w**2 + 4*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -1, 0.87325, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 168, -1573 in descending order.\nAnswer: 168, 50, 2, -1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3*m + 53431977*h*t**2 - 4*m*t**2 + 703*m*t + 2*m - 2*t**2 - 2*t + 18 with respect to h.\nAnswer: -6*h**2*m + 53431977*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-404)*(((-260)\/50)\/(-13))\/(2\/10)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 120. Put -4, 19, l, 5 in increasing order.\nAnswer: -4, l, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19185, -19191, -19197, -19203, -19209?\n\"Answer: -6*s - 19179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287 + 545. What are the prime factors of k?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.16666 times -11?\nAnswer: -199.83326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and -71\/27194760.\nAnswer: 27194760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o**3 - 6*o**2 - 374*o - 1774. Calculate s(-5).\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 1, k: 2, h: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -18. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q - 141*q + 27*q + 654 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 4) in base 10?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40694600 to the nearest one hundred thousand.\nAnswer: -40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/16)\/(-1)*64\/(-36). Sort -0.2, k, -4 in ascending order.\nAnswer: -4, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (2 - 3) - (-221 - -198).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1194*o**5 - 25*o + 5?\nAnswer: -23880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)\/v**(-2\/5))\/((v*v*v\/v**(2\/5))\/v*v*v\/(v*v**(2\/3)*v*v*v))*v**(-5\/2)\/(v\/(v*(v*v**(-4\/5))\/v*v*v))*(v*v**(-1\/4)*v)**(-3\/41) assuming v is positive.\nAnswer: v**(1003\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from qfufuuue?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2835362, 11341491, 25518388, 45366053, 70884486, 102073687?\nAnswer: 138933656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:42 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c*c\/(c*c**4*c))\/(c**(2\/5)\/c**9))\/((c**(-2\/7))**(-1\/4))**36 assuming c is positive.\nAnswer: c**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -5*(0 + sqrt(1100)) + (sqrt(1100)*1 + sqrt(1100))*-1)**2.\nAnswer: -280*sqrt(11) + 107802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17068 = 21*w - 16228 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**5\/7 - 12*a**4\/7 + 16*a**3\/7.\nAnswer: -4*a**3*(a - 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**2\/2 - 3*m - 38. Let y be (-232)\/(-406) + 62\/14. What is c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*(-3)\/(-30)*15. Let x(f) = -29*f + 9. Let q be x(6). Let h be (-2)\/(-7) + i + q\/(-35). What is the highest common factor of 32 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - 0.6. Let a be 6\/15 + 32\/(-120). What is the closest to l in -1, -0.5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90 - 2*l**4 + 15*l**2 + 16*l - l**4 - 44 - 49 wrt l?\nAnswer: -36*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m**(-7)\/m*(m*m**(1\/33))**(10\/9) assuming m is positive.\nAnswer: m**(-2333\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36634*b*z**5 + 509663*b*z + 179*b + 447*z**5 wrt z?\nAnswer: -732680*b*z**3 + 8940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 26. Suppose -2*m + 18 = u + m, -u + q = 5*m. Suppose -3*l - u*w - 3 = -l, 4*w + 32 = 2*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104197523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y = -5*c + 94*y + 40, -2*c - 4*y = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12360\/47 + -2451463\/9306. What is the common denominator of 25\/121 and p?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6291 is divided by 897?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:42 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + (2 + sqrt(1053) - sqrt(1053)) + 2.\nAnswer: 4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/40 and -49\/940?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 8 + 13 - 3) + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -3 (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -81*v**2. Let x(p) = -11*p**2. What is x(n(t))?\nAnswer: -72171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vii. Give prob of sequence vi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.66136*-0.1\nAnswer: 0.166136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 - 37. Calculate the greatest common factor of y and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-84)*(-68)\/(-85). Let x(y) = 4*y. Let a be 3\/4 - 1\/(-4). Let m be x(a). Sort i, -1\/2, m in descending order.\nAnswer: m, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1144\/168 - 2\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((-3 + sqrt(2736) + 1)**2 - (sqrt(2736) + sqrt(2736) + -4 + 3)**2)) + -1 + -1.\nAnswer: 41018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18462, 18474, 18492, 18516, 18546, 18582?\nAnswer: 18624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Suppose 4*i + u = 16, 4*i = 2*u - u + 16. Let t be (-6)\/(36\/(-15)) - i. Is p greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose 7*j - 105 = -m*j. What is the remainder when 44 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*u = 229, p + 4*u - 180 = -3*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j**3 - 7*j**2 + 73*j. Let n(p) = 5*p**3 + 4*p**2 - 37*p. Let d(f) = 4*h(f) + 7*n(f). Find the second derivative of d(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218550\/175 + 3\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1602, 1559, 1446, 1227, 866, 327, -426, -1429?\n\"Answer: -6*z**3 + z**2 - 4*z + 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2346*l**3 + 2*l**2 + 616?\nAnswer: -14076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -544 and 299.84.\nAnswer: -163112.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 222, 319, 408?\n\"Answer: -4*b**2 + 117*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 46b37a (base 13) to base 11\nAnswer: a49217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 514211588 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560176 is divided by 585.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = g - 16, -3*g + 24 = 2*h + 6. Let q = 3 + -2. Which is the nearest to -0.2? (a) 0 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/22776 and 47\/12104.\nAnswer: 34460088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052975193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133273*r - 3210311*r + 305856*r - 3211774*r.\nAnswer: -5982956*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(80\/15 - 4). Suppose -s*f = 7*f - 33. Suppose -9 = -4*b + f. Solve -3 - b = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z - 3*u + 8, -2*z + 3*u = -20. Suppose y + z*n + 12 = 0, -n = n + 10. What is the lowest common multiple of 7 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + 0*f)*((-5 + 2 + 4)*(-2*f + 2*f**3 + 2*f) - 7*f**2 + 7*f**2 - 4*f**3).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_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 y(c) = -3*c - 2. Let a be y(-2). Suppose 4*x = a, -12514 = -5*l - 4*x + 5*x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*h - 14, 5*o - 12 = -4*h + 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y - 10 + 26 - 13. Let o be j(5). Suppose -x + 3*x - o = 0. Solve 4 = x*z + 3*r, -z - 5*r = -1 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*g - 27, 0*g + 10 = -5*v - 2*g. Let o be 4 + v - -4*1. Let w(m) = m**2 - m - 4. Give w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1.5 (b) 0.04 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/20 + 7*a**3\/6 - 2*a**2 - 57*a. Suppose 3*o = -3*o + 54. Let k(h) = 2*h**3 + 15*h - 9. Give o*d(p) - 4*k(p).\nAnswer: p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522e (base 15) to base 14.\nAnswer: 6489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 80*k + 696. Let a be o(-9). Let p(u) = -u**2 + u - 1. Let m(j) = 28*j**2 - 24*j + 20. Calculate a*p(v) - m(v).\nAnswer: -4*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/26 + -33\/494. Let m = -13.08 + 0.08. Let s = -8 - m. Which is the closest to -0.1? (a) s (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -109*g + 659. Determine m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(18\/(-16)) + (-47)\/705.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jjtjtjjjttj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124307378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 90*o + 75. Let q(r) = r + 1. What is -n(s) + 75*q(s)?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:26 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/69 and -47\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 7871.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 10*y**2 - 43*y + 396. Calculate g(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7056 + -7054. Suppose 3*t + 3*u - 15 = 0, 2*t - u - 10 = -2*u. Solve -5*r = t*n + 40, -r + 0 + 4 = -h*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11023300 (base 4) to base 11\nAnswer: -14a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/5 - t**3\/2 - 12*t**2. Differentiate x(l) wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 11) to base 2.\nAnswer: -1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548 = 50*h - 2 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2754 = 2*o + 2684. Suppose -3*u + 4*u - 127 = -5*t, -t + 29 = 2*u. Suppose 9*v = 4*v + t. What is the remainder when o is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Suppose -3*k + 3*h = -2*h + 13, -2 = -h. Let q = k + -2. Put d, -4, q in increasing order.\nAnswer: -4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 657, 2, -10, 0, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/12*(-79240)\/12735.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:54 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6045 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, 1 m, and 1 k when four letters picked without replacement from khqhckkqbhmk?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 402662.147311.\nAnswer: 402666.147311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:15 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.92201 rounded to 2 decimal places?\nAnswer: 60.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213134 (base 6) in base 8?\nAnswer: 175322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/5 + 3434*l**2 + 956816*l\/5 + 13373472\/5 = 0. Calculate l.\nAnswer: -8529, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.3 + -1.3. Let w = o - 10.0202. Round w to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let l = -786 + 787. Which is the closest to -1\/6? (a) 3\/8 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 d when four letters picked without replacement from {d: 10, r: 9}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318 + 318 + 25*v**3 + 110*v**3.\nAnswer: 135*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4*c. What are the prime factors of a(-9)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 28 = -2*m, 0 = -2*u - 4*m - 0*m - 36. Put u, 2, -1 in ascending order.\nAnswer: u, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*d - d. Suppose 7*b + 4*q + 14 = 5*b, 3*q = b - 13. Let m = d + b. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 4 - 2 + 2*d + 6.\nAnswer: -3*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 2. Let s(a) = -a**3 - 4*a**2 - 3*a + 1. Suppose -5*i - 6 = 3*h, -i = -0*i + h. Let v be s(i). Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -40 + 10. Let a be 2\/g - 29676536\/(-6). Suppose 2*i = -a - 6653911. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 + 4432*s**4 - 597836*s**3 + 575696*s**2 + 2391408*s - 2373696 = 0?\nAnswer: -2, 1, 2, 156, 951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p*p**(2\/11))\/(p**(-3\/2)*p\/(p*p**(-3\/5))))**(-1\/8) assuming p is positive.\nAnswer: p**(541\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 1.05149981?\nAnswer: 6.05149981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**2 - q - 1. Let p be b(-1). Let g(x) = -x**2 - 7*x - 1. Let c be g(p). Let r(s) be the first derivative of s**2\/2 + 11. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121112011 + 10112211?\nAnswer: -10110222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58309524 divided by -18846?\nAnswer: -3094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 328?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 3*o, 3*o + 2*x + 168 - 172 = 0. Solve -y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 16 = s + 3, -3*h + 43 = -s. Suppose 0 = 2*f + 5*r - 39 + 10, 3*f - 3*r + 9 = 0. Calculate the remainder when (-8)\/(-56) - (-82)\/h is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u**2 - 31*u - 13. Let p(g) = -8*g**2 + 17*g + 7. What is -4*c(f) - 7*p(f)?\nAnswer: -8*f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 2*r = -22*w + 44*w + 58, -3*w - 27 = r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78724.7ml in litres?\nAnswer: 78.7247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13001 and 2.2.\nAnswer: 28602.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*j + 1 - 1)*(-1 - 1 + 4) - 4 + 4 - j)*(-50 + 26 - 44)*(-3 + 4 - 3) in the form n + b*j and give b.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37840*h**3*w**3 - 43*h*w**3 - 201*w**3 wrt h?\nAnswer: 227040*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4 - 1 - 3*u + 3 + 0*u. Let b(h) = 2*h - 5. Let s(i) = 4*i - 10. Let o(c) = -9*b(c) + 4*s(c). What is 5*o(y) - 4*p(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651 - 2*a - 3*a - 651.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = -35. Do v and -7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/49 + (3 + 1 - 70680\/(-28)). Calculate the greatest common factor of q and 2844.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 + 210\/200*12. Suppose -3*i - 11*z + 802 = -b*z, 5*i - 1370 = -5*z. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 778 - -166. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 2*h**2 + 2*h**2 + (0*h + h + h)*(-2*h**2 + h - h) + (5 - 3 + 1)*(-204 + 399 - 11)*(1 - 2*h**3 - 1).\nAnswer: -1106*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 0*h**2 + 5*h**2 - h**3 + 0*h**3.\nAnswer: -3*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910 and 3840650.\nAnswer: 349499150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1131\/409 + 300495\/125972. Calculate the common denominator of 113\/98 and t.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -63*f**2 - 25*f**2 + 156 + 115*f**2 - 25*f**2 + 35*f. Let o be t(-9). Let 3\/5*l**2 - 9\/5*l + 3\/5*l**4 + 9\/5*l**o - 6\/5 = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by 78\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - ((-7 - -9) + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*t + 8, -11*t + 6*t - 5*v - 25 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1\/3*t**3 - 2*t + 0 + 0*t**2. Let z(k) be the third derivative of -k**4\/24 - 2*k**2. Calculate y(z(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**5 + 2*o**3)*(-28 - 10 + 1).\nAnswer: 37*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.9944 and 1.\nAnswer: -17.9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 54*p - 627. What is v(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 18*u + 26 - 28 to f*u + o and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -188\/5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-810)\/(-63) - (-48)\/42. Let o(y) be the third derivative of 11\/60*y**5 + 7\/3*y**3 + 0*y**4 + u*y**2 + 0 + 0*y. Differentiate o(n) with respect to n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1\/(-3) + 1. Suppose -4*l + a*l = -6. Let y = 1412.2 + -1411.2. What is the closest to y in 1, -0.5, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89.1 + -17.9. Let l = 95.4 + t. Let m = l + 12. Which is the biggest value? (a) -2 (b) m (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(936)*-5)\/(1*sqrt(10)\/sqrt(5)) + 2.\nAnswer: 2 + 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42509.56619 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 23 = -4*j, 2*j - d - 13 = 2. Let l be 42000001\/j - 4\/28. Round l to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 5*y - 1. Let f be h(-5). Let a be (-320946)\/(-3) + (-5 - f). Suppose a = -2*w - 137022. Round w to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 2*b + v*k = -126, -5*b + 0*k + 2*k - 294 = 0. Let y be (1\/(-2))\/(2\/b). Solve 0 = -8*w + 5*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -4, -0.6, -1\/3 in increasing order.\nAnswer: -4, -5\/3, -0.6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 + -0.6.\nAnswer: -175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.575. Round r to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 497*d**2 - 32674*d - 3378. Give h(419).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104904.023 and -3745.22.\nAnswer: 101158.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22 + 10)*(-200)\/(-6). Let d be 18\/(-63) - l\/28. Solve -u - 10 = -d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7162*y. Let d(c) = 33*c**2. Calculate d(g(j)).\nAnswer: 1692710052*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-2)*(-1708)\/366\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*w**6 - 269*w**2 + 442*w**6 - 203*w**2 + 898*w**6 wrt w?\nAnswer: 124920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17227\/705 - 24\/235. What is the common denominator of (122\/(-12))\/((-8)\/3) and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from bvb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*n - 4*n - 35, 3*n - 42 = 3*p. Let l be (p*3\/3)\/(-1). Solve -a - i = -3, -4*i = 3*a + i - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 57704769.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 111. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Let k(p) = p**2 - 5*p + 3. Let g(x) = 3 - 3 - 2*x + 1. Let r(d) = j*k(d) - 5*g(d). Differentiate r(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**2*q**2 + 98*m**2*q - m*q**3 wrt q?\nAnswer: -24*m**2 - 6*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/9804*43*(-6 + 5 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 0*g**3 + g**3 + 0 + 0 - 2*g**3 + (g**2 + g**2 - g**2)*(-3*g + g + g) + 4*g**3 - 3*g**3 + g**3 + (4 + 9 - 11)*(-g + 3*g - 3*g**3 + 0*g).\nAnswer: -8*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcfllmfloolm. Give prob of sequence cof.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = g - 2*p, 0 = -2*g - 2*p - 12. Let d be (-3)\/g*1*0. Solve d*q + 4*q = -12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:32 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21214 is divided by 21214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55403 is divided by 11007?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2156 divided by 44\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*z = -p - 452, -4*p + 5*z + 466 = 0. What is the units digit of (p + 4)*(0 - 4\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-498)\/((-6474)\/78)*5\/(10\/(-12))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 60300 to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 17*l = 33 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.96 + 0.04. Let u = -36.5 + 36. Which is the third smallest value? (a) t (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 + 14 = 0. Suppose -2*z + 7*z - k - 19 = 0, -z - w*k + 9 = 0. Suppose 3*m = -n + 100, -4*m = -8*m + z*n + 112. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512900 (base 10) in base 8?\nAnswer: 1751604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39971618 is divided by 369?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -146999 divided by -8647?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -356432925 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*j - 137 = -7*p, -3*j = 3. Let c = p + -14. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + ((-1 - -15) + -97 + 90 - 9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.355 and 380.53.\nAnswer: 378.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2 + 3*v**2 + 10 - 4*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -4\/5, -2\/9, 1.912 in decreasing order.\nAnswer: 1.912, -1\/6, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-20*h + 14*h + 8*h)*(-h - 2*h + 2*h) + 0*h**2 - 2*h**2 + 3*h**2)*(5*h**2 - 2*h**2 - 4*h**2) as w*h**3 + d*h + r + i*h**4 + g*h**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 21 = d - 4*i, -4*d = -i - 27. Let a(g) = -g**2 + 11*g - 15. Is a(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -13, 2 in increasing order.\nAnswer: -13, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from otttzrf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16492 is divided by 285?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**9\/5040 + 3*x**8\/1120 - x**7\/120 - 11*x**4\/2 + 55*x. Let b(r) be the third derivative of s(r). Find d such that b(d) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325300 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18024?\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 808 (b) 0.5 (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 17. Suppose j = 4*j + 9. Let o = 0 + j. Which is the third smallest value? (a) 2 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-375)\/300)\/((-6)\/(-8))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418640 is divided by 1418636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 - j + 1. Suppose -8 = 150*h - 142*h. Let n(w) = 0 + 9*w**2 + 4*w - 6 - 1 + 6*w**3 - 4*w**2. Determine h*n(v) - 5*f(v).\nAnswer: -v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.09 + -0.09. Suppose -5*v + 4 = 5*i + 39, -4*i - 20 = 0. Let u = -1\/63 - 17\/63. Which is the closest to u? (a) 1 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -22*y + 381. Calculate j(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 9 + (-184)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-8 - 6) - (4 + 3)) + -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1820479 or -44\/13?\nAnswer: -44\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160530 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, -1, 1, -10, 0.\nAnswer: -265, -10, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 352086854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30b8 (base 12) in base 15?\nAnswer: 189e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 3*z**3 - 3*z**2 + 5*z**3 + z**3 - 1 - 4*z. Let h be i(4). What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232112103 - 3?\nAnswer: -1232112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**2. Let d(f) = -3*f**2 + 73*f + 4. Let i(j) = -17*j**2 + 361*j + 22. Let v(o) = 11*d(o) - 2*i(o). Calculate v(g(h)).\nAnswer: 144*h**4 + 972*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z - 23*z - 2 + 8*z + 0*z + 7*z. Give t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j\/(j\/(j*((j\/j**(1\/2))\/j)\/j))*j)\/j*j*j*j*j*j)\/j)\/j)**15\/(j**(-2\/7))**(7\/9))\/((j**(2\/3))**(26\/7))**(-2) assuming j is positive.\nAnswer: j**(7267\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2*f + 24, -43 = -304*o + 303*o + 5*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32217813?\nAnswer: 3, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 956.2 and -332.4.\nAnswer: 623.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -0.06. Let u = w - 3.91. Let j = 5 + u. Is 0 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -54. Let i = 115 + f. Calculate the remainder when i is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-654)\/(-14) - (-32)\/112. Let g = f + -47. Suppose -h + 2*h - 691 = g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8453 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, 7, -4, 2\/7?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*k + 24, 9*k - 4*h = 5*k + 16. Suppose -k*p + 2*s + 42552 = -p, -2*s = p - 10633. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let n(x) be the second derivative of 7*x**4\/12 - x**3\/2 - 14*x. Calculate -n(l) - 3*y(l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -4268, -1 in descending order.\nAnswer: 143, -1, -4268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20 = 0, 310*a - 312*a + 4*o - 26 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254*k + 6 = -2252*k + 5*q, 0 = -3*k - 4*q + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -406220 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/308 and 37\/48?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 96, 1, -3, 1.3 in decreasing order.\nAnswer: 96, 1.3, 1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3212, -3249, -3328, -3449, -3612, -3817?\n\"Answer: -21*j**2 + 26*j - 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -621 and 0.654799319?\nAnswer: 621.654799319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrfsssqsfqsqrsss. What is prob of picking 2 s?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*r = m + 189*r - 400, -4*r - 776 = -2*m. Calculate the greatest common factor of 8284 and m.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine halves of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*v**2 + 3)*(3*v + 2 - 2 + (-2*v - 2*v + 3*v)*(2 - 1 + 2) + 2*v - 5*v + 2*v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 2 - 2 + (-4 + 2*j + 4)*(3*j - 5*j + 0*j) + j**2 + j**2 + 0*j**2 + 3 - 3 - 3*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 5326?\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 6*n**3 - n**3)*(107*n - 97 + 97)*(5 - 2 + 0).\nAnswer: 321*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -186, -201, -234, -291, -378, -501, -666?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*q + 10 - 10.\nAnswer: 379*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -3)*9\/6. Suppose -2*x + 16 = -n, 5*n = x - 2*x - h. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 - -7. Let d be (-4)\/(-6) + (-128)\/68 + 2. Let y = d + -2\/17. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 755*z + 43*z**2 + 9*z**2 - 605*z - 5*z**3 + 13*z**2 = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 6*n + 2. Let j(y) = -y**2 + 5*y - 2. Let m(v) = 3*g(v) + 4*j(v). Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let t be x - 5\/((-105)\/(-6)). Is 1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00098 - -0.01802. What is the fourth biggest value in j, -3, 0.3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -347*b + 345*b + 556. Calculate the remainder when b is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 96. Let l(o) = 150*o - 53. Is l(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -672*f - 920*f + 4776 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33553 is divided by 906?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53175 is divided by 17626?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veevveeeeeeeee. Give prob of sequence eev.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8253808685?\nAnswer: 5, 223, 7402519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - z - 3 = 3, -5*i - 5*z = 20. Let t = -4 + 3.6. Let w = t - 1.6. What is the closest to w in -3\/7, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 165898 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 389*q - 28. Let b be 3\/1 - 0\/2. Let o be x(b). Is ((3 - (6 - 4))*o)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-3 - 2))*11. Let f = 52 - 35. Let y = s - f. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/25*(292\/(-16) + -3) and (-714)\/110 - (7 + -13)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 - 109432*k**3 - 2846298*k**2 - 15656552*k + 18612280 = 0. Calculate k.\nAnswer: -17, -10, 1, 54742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 163, 509, 1169, 2245?\nAnswer: 3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:52 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:07 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (1 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-11634\nAnswer: -3490.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(10\/3)\/(-2). Suppose -5 = -k + y. Let z = 22 - 10. What is the lowest common multiple of k and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2401 and 1829.\nAnswer: 4391429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2372, 2593, 2882, 3245, 3688, 4217, 4838, 5557?\n\"Answer: n**3 + 28*n**2 + 130*n + 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5. Let j(c) = -4*c**2 + 11*c - 29. Let x(r) = 2*r**2 - 6*r + 15. Let o(w) = 6*j(w) + 11*x(w). Give -4*o(n) - 7*u(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.698 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -29. Suppose -5*c + 38 = 2*n, 2*c + x*c + n = 15. Let w(g) = 2*g**3 - 51*g**2 + 25*g + 7. What is the least common multiple of w(25) and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87704340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4071 (base 8) to base 15.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1445 - 4674*q - 2309*q - 1502 + 1262*q + 224 wrt q.\nAnswer: -5721","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -26\/9 (c) 2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241213322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/((-2)\/(-8) + 84\/48). Suppose -7*j + i = -69. Solve 23 = 2*k + 5*f, -5*f - j = 4*k - 47 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 784 = 15*q. What is the highest common divisor of 28 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x - 8*w - 17, w = -x - 1. Suppose 0 = -96*v + 95*v + 1. Sort x, v, 2, -5 in increasing order.\nAnswer: -5, v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168194851*l**3 - 2335*l**2 + 3*l + 2078?\nAnswer: 1009169106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 4*g + 4. Let d be p(-5). Let q = d + 5. Let i(r) = 2 + 3*r - q*r - 2*r - 3. Determine i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/((v\/v**4)\/v))*v)**19\/(v*(v\/v**(-8\/13))\/v*v\/v**(-28)*v*v*v) assuming v is positive.\nAnswer: v**(-1178\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 17, s: 2}. What is prob of sequence ssx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/6 (c) -2\/19 (d) -0.07 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -13*t + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 54*y**2 - 77*y + 11. Is d(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*w + g, -5*w + 3*g + 25 = -0*g. Calculate the common denominator of -5 - (-1143)\/126*1 and ((-94)\/(-16))\/(w - -2).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91174 + 1003664\/11. Let h = -68 + u. Suppose -2*o + 0*o = 0. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 112111102122?\nAnswer: 112111102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 16664 and 16664 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 8*a. Let r(l) = -2*l**2 + 3*l. Let q(b) = -8*r(b) + 3*s(b). Let w(f) = -13*f. Determine w(q(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 6 + 3*k**2 - 30 - 82*k - 23 + 59.\nAnswer: 2*k**3 + 3*k**2 - 82*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 14 = -3*u. Suppose -3*y = -7 - 2. Find the third derivative of 3*s**2 + 1 - u*s**2 - 4*s**y - 1 wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 14*v**2 - 14*v - 13. Let z be l(-13). Suppose z = 2*p + 383 + 383. Let x = -155 - p. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 604 + -364. Suppose j - 2*l + 5*l + 12 = 0, 0 = 2*j - 2*l - 16. Calculate the remainder when g is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 93*z**2 + 25*z - 63. Let n be r(3). Let c = n - 493. List the prime factors of c.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -1\/180*f**6 + 0 + 0*f**5 - 5\/6*f**3 + 0*f**4 + 6*f**2 + 0*f. Let k(r) be the first derivative of z(r). Factor k(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from kzzzzk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(408)\/sqrt(108)*4)\/(-6*sqrt(4)\/sqrt(2) + (sqrt(44)\/sqrt(2) + sqrt(22))\/sqrt(11)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 316, -1.1, 0, 11632?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 8*s**7\/35 + 11*s**4\/6 - 35*s**2. Find the second derivative of n(q) wrt q.\nAnswer: 576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.8 less than -1?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y**(2\/11))**(-1\/5))**35 assuming y is positive.\nAnswer: y**(-224\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4 + 7. Which is the nearest to -2\/3? (a) q (b) -1\/4 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 - 255. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214*t*z**3 - 11*t*z + 733*t - 3*z**3 - 4 with respect to z.\nAnswer: -642*t*z**2 - 11*t - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*1\/(1 + 0). Let w be (0 + 3)\/((-2)\/(-16)*6). Put n, w, 1 in increasing order.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wwcwwwwwwwwww.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29316, 235065, 793552, 1881147, 3674220, 6349141, 10082280?\nAnswer: 15050007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4816 and -101\/136.\nAnswer: 81872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.897125 times -4.6\nAnswer: 17.926775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*b + 42*b = 1343 + 1207 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18883682, -37767362, -56651040, -75534716?\nAnswer: -94418390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 87 = 3*o, -y = -4*y + 5*o + 93. Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8))\/(((-87)\/(-20))\/(-29)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*u + 36, 35*q + 14 = 34*q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37811911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q - 6 = -4*b, q + 3*b - 1 = 0. Let s(j) = j**2 - 2*j - 10. List the prime factors of s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i - 0. Let f be i\/6 + (-98)\/(-21). Suppose -f*n = -0*n - 188. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 5*d, -4*i + 4*d - 29 = -9. Let q be (10\/(i - 1))\/173. Is 1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 6 = v - q, 0 = 2*v - 4*q - 2. Let a be (v\/2)\/(2\/(-284)). Suppose a = 4*s - 33. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 16*r**2 + 19*r + 13. Let t be i(-9). Suppose 2*j - 7*j = t*n - 619, -3*j - 3*n + 369 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 63 = -24*q, -1444 + 1441 = 2*q - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-16)\/(-12)*3\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4053 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(275) - (sqrt(275)*2 + sqrt(275)))*-2)**2 + -1.\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2\/9*v**3 - 238\/9*v + 38\/9*v**2 + 490\/9 = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i + 16*i + 5*w - 13, 0 = -3*i + 8*w - 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/9 + -7. What is the third smallest value in l, -4, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4 = -6*h + 2*r, -5*h - 4*r + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7*r**2 - 13*r - 49. Give c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + v + 4. Let z(x) = 3*x**2 - 3*x - 8. Let m(y) = -5*s(y) - 3*z(y). Factor m(r).\nAnswer: (r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26799 - 5395. List the prime factors of b.\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/568 and 51\/40.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(7 - 3 - 2)*(3*o**3 + 2*o**3 - o**3) to l*o + y + i*o**3 + p*o**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143481804?\nAnswer: 2, 3, 1787, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 = 4*p - 2*j, -15 = 3*p + 4*j. Let k(r) = 79*r**3 - 12*r**2 - 6*r. Let a(i) = 16*i**3 - 2*i**2 - i. Let b(x) = 11*a(x) - 2*k(x). What is b(p)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 - 25*p**4 - 45*p**3 - 15*p**2 + 20*p + 12 = 0.\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/128 and -17\/10784?\nAnswer: 43136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -20*h**3 - 3*h**2 - 5*h - 20. Let l be j(-5). Suppose 6*r - l - 708 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15421 - -25597. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/18 + (-10)\/(-66). Put 2, j, -0.08 in decreasing order.\nAnswer: 2, -0.08, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369569 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a - 3. Let u be g(1). Let b(l) = -5 + 5 + u*l**2 - 6*l**2. Let w(h) = -68*h**2. Calculate w(b(f)).\nAnswer: -68*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/7529, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5962, -19, 0 in ascending order.\nAnswer: -19, -4, 0, 0.5962","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:47 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8380 + 354*h**2 - 703*h**2 + 2865 + 2759 + 347*h**2 + 2756.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -2544542556 and -15.\nAnswer: -2544542571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -647831433 + -0.054575?\nAnswer: -647831433.054575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177032656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-6)\/k))\/(k*k**(9\/4)*k*k) assuming k is positive.\nAnswer: k**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3921*a**3 - 3051*a**2 - 2.\nAnswer: -23526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2776288 and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 14295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:02 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86724435709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:32 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2568 - 2565. Solve 5*y = 5*g - 15, 10 = p*g + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 4*k - 160 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 442, -17, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 137 - 51. Let l = -44 + h. What is the greatest common divisor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144382, 2144372, 2144348, 2144304, 2144234, 2144132, 2143992, 2143808?\nAnswer: 2143574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -392 + 7*z - 349 + 831*z**2 - 18*z + 11*z wrt z.\nAnswer: 1662*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 394, 1192, 2580, 4558, 7126, 10284, 14032?\n\"Answer: 295*r**2 - 87*r + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1311 + -1317. Let n(d) = 11*d + 56. Give n(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22817\/5 + 4564. Which is the closest to 7? (a) -5 (b) t (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {h: 2, o: 17}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2697 and 375.\nAnswer: 337125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (2*-65)\/(5 + 222\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 35 = 0, -40*o = -35*o - 2*k + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -84143\nAnswer: 16828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10732, 10745, 10768, 10801, 10844?\n\"Answer: 5*s**2 - 2*s + 10729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (43 - 8) + (-3 - -7)*1. Suppose f*u - 36*u - 858 = 0. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15957 (base 12) to base 15.\nAnswer: -9194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 5893.\nAnswer: -5903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217910, -217901, -217892, -217883?\nAnswer: -217874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.25 and 0.03?\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685473.\nAnswer: 7, 17, 22567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2. Suppose -3*s + 1383 = -3*u, -6*s + 2335 = -s + u. Let o(m) = s*m**2 - 4 - 435*m**2 + 4. Calculate j(o(w)).\nAnswer: 2883*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(3\/20 + (-6)\/(-10)). Which is the third smallest value? (a) r (b) 2\/13 (c) -4\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.027 + 28.027. Let w = 2853937936 + -2853937907.99999958. Let l = i - w. What is l rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 29 = -3*b - 29, -2*b - 2 = 0. Suppose 9 = 4*u - y. Let o = u + -2. Solve o*z - 2 = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = z - 48. Suppose 0 = -z*n + n + 65. Let c(h) = 2*h**2 + 10*h - 25. Is c(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -115?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 29*d + 3082 = -116*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3*f + 3. Let r be o(-3). Let q be 2\/(-3) - r\/9. What is the third biggest value in -5, q, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*w**4 + 17*w**2 - 2*w + 69*w**4 - 1 + 3 + (-2*w + 2*w - w**3)*(-13*w - 16*w + 4*w).\nAnswer: 30*w**4 + 17*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/176 and -29\/40.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - o**2 + 5*o + 2*o**2. Let a = -193 - -287. Suppose a*l - 9 = 97*l. What is u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 6. Suppose 18 = 2*u + 6. Let p be q(u). Suppose 0 = c - 4, 4*c - c = 3*t - 60. What is the greatest common divisor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3010352 divided by -4\nAnswer: 752588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 356*c**3\/3 + 710*c**2\/3 + 1064*c\/9.\nAnswer: 2*c*(c + 1)**2*(c + 532)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 53 = -95. Let b = a - -59. Calculate the least common multiple of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u**3 - 16*u**2 + 56*u - 42. Is 35 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*c + 4*t + 20, -3*c - 3*t = 0. What is the first derivative of 3479*p**3 - p**c - 2*p**4 - 3479*p**3 - 17 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1294 - -1329. Solve -7*y = -0*y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131539685203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:30 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106281950 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*r - 54*r - 55*r - 4 + 1 in the form z + q*r and give q.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 12*s + 40. Give h(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1411 - 1414. Sort p, -5, -95 in decreasing order.\nAnswer: p, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 3*g**2 - 21*g - 8*g**2 - 9*g**2.\nAnswer: -15*g**2 - 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.03 + -91. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -106.5. Let o be 2 - (-2)\/((-4)\/6). What is the closest to 2 in o, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - a)*(4 - 8 + 5)*(17 - a - 17 + (4*a - 5*a - a)*(2 + 1 - 1)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2024 - 0?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4521 + 524501?\nAnswer: 533422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((3036\/(-88))\/23)*3*65.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -146. Factor 3\/4*g**3 + 0*g - 3\/4*g**5 + 3\/4*g**4 + 0 - 3\/4*g**v.\nAnswer: -3*g**2*(g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 7 = -11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -314*n + 3881. Does 20 divide i(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 741811.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 7*b = 32. Suppose 0 = -0*y - y - b*k + 147, 2*y + 5*k = 309. List the prime factors of y.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 525 = -23*k. Let c = -97 + k. Suppose 0 = 3*l - 31 - 17. Calculate the lowest common multiple of l and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-4) - (-102)\/50. Let f = -28\/75 + m. Suppose 5*k = 11 + 4. Which is the nearest to 1? (a) f (b) k (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81871499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -0.4, -619, 0, 5 in descending order.\nAnswer: 5, 0.1, 0, -0.4, -3, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2\/13, -1681?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714296537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + u - 681 = -668, -3*u + 57 = 27*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + 122. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20399184 and 15384?\nAnswer: 20399184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 11*l + 27. Let k = 74 - 63. Let i(w) = -w**2 + 6*w + 14. Let x be 12*((-1)\/(-2) + -1). Let y(q) = k*i(q) + x*o(q). Differentiate y(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) -2716 (c) 1.19 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8687.13 + -8687. Sort 3, 1.5, w, 1, 0.5 in descending order.\nAnswer: 3, 1.5, 1, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/81 or -1\/5671?\nAnswer: -1\/5671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 2 - 1 + 0. Suppose -5 = x + l, 5*l + 4 = -x + 19. Let s be (-20)\/20 + x\/(-2). Calculate p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 43*d**5\/20 + 3*d**4\/4 + 25*d**3\/6 - 53*d**2 - 186*d. Is r(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, p: 4, b: 2, x: 2, g: 2}. What is prob of sequence bbvg?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = 2*t - 8, 14 = o - 5*t. Let x be 4 - (-5)\/(5\/o). Let g(f) = -13*f - 18. Let p be g(-2). Calculate the highest common divisor of x and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14.98, 12, 1, 3?\nAnswer: 14.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-32)*(-13*5 + 1). Suppose v = 8*r - 288. What is the remainder when r is divided by ((-18)\/(-21))\/((-1)\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/349, -0.5811, -1\/4, -1\/3 in decreasing order.\nAnswer: 1\/349, -1\/4, -1\/3, -0.5811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 5*u - 7 - 2 + 13*u**2 + 0. Let r(s) = -6*s**2 + s + 4. Determine 3*g(n) + 7*r(n).\nAnswer: -3*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*y - 11 + 20 + 33*y + 211*y**4 - 34*y - 5 wrt y?\nAnswer: 2532*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2020 and -7\/1067.\nAnswer: 2155340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**4 + 2*p + 44*p**3 - 140*p**3 + 0*p**4 - 2 - 3*p - 3*p**4 in the form z*p**4 + x*p**2 + c + q*p + l*p**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -92236*x**3 - 23*x**2 - 39*x - 1. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-36))\/(-10)*6\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 9 + 11. Suppose 4*j + 15 = d*w + 3*j, -w - 2*j + 6 = 0. Solve -y + w*y = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 523. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v. Let z(g) be the first derivative of 12*g**2 + 1420. Determine z(b(j)).\nAnswer: 504*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/(w\/(w**(-2\/13)*w))*(w\/(w**(-2\/3)*w))**(-2\/75) assuming w is positive.\nAnswer: w**(1448\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 16\/5, 3, -4?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1390215.33 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:23 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 + 1 - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2 - 6 + 3*u**2 - 2*u**2 + 0*u**2. Calculate r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 2 + (3*sqrt(147) - sqrt(147)) - (0 + sqrt(3) + -5 + (sqrt(3) - sqrt(21)\/(sqrt(7) + sqrt(7)*-2))).\nAnswer: 7 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdb when four letters picked without replacement from fffddddfbffldflfdd?\nAnswer: 49\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*y + 180. Let l(n) = 32*n + 2 - 12*n + 4*n**2 + n**3 - 17*n. What is l(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o + 2*m, -2*o = -7*o - 3*m + 10. Solve -2*t + 1 = f, 2*f - o = -0*f - 3*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*g**3*h**2*p + 116*g**3*h**2 + 2*g**2*h**2 - 46*g**2*p + 11*g*h*p wrt g.\nAnswer: 162*h**2*p + 696*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:06 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 33368 and 3931041.9.\nAnswer: 3964409.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/4)\/((-9440)\/(-25665)) and 77\/4.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 20260*b - 60762.\nAnswer: -2*(b - 10127)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 26. Let s(x) = -x**2 + x + 7. Let m be s(0). Suppose -m*n = -3*n - 16. Solve -p*j - n = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 863492681 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(2\/7))\/(x\/((((x**(1\/8)*x)\/x)\/x*x)\/x)*x*x))**(-31)*(x\/(x*(x*x*x**(2\/7)\/x)\/x)*x)**(1\/35)*x**6\/x**(-7) assuming x is positive.\nAnswer: x**(31361\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - g + 4 + 3*g - g**3 + 5*g**3 to f*g + s + c*g**2 + b*g**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from ygcmbtm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1771?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.097004l to millilitres.\nAnswer: 4097.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26856131553 rounded to the nearest 1000000?\nAnswer: -26856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5483.5228 + 5482. Let j = t + 1.53. What is j rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/12)\/((-11)\/6 - -2). Let o be u\/((-6 - -2)\/4). Factor 6*k**4 + 2*k**4 + 4*k - 8*k**4 - k**4 - 3*k**o.\nAnswer: -k*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 2*l. Let s(w) = 0 + 0 - 30*w**2 + 37*w**2 + 12 - 10*w. Is 7 a factor of s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61924940?\nAnswer: 2, 5, 7, 11, 79, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 54, -2, 69 in decreasing order.\nAnswer: 69, 54, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*8\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -451921342 to the nearest 10000.\nAnswer: -451920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17796487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14774 is divided by 154.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.035 (b) -10 (c) -4 (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566 is divided by 253.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 93836 - 93836.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -18*b**4 + 21*b**3\/2 + 3058*b. Let w(m) = 7*m**2 - 2*m. Calculate 6*o(j) + 189*w(j).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 700*v + 14826.\nAnswer: -2*(v - 21)*(v + 2471)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from lyoqylyccyoqqlyqy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8827, 8814, 8803, 8794, 8787, 8782, 8779?\n\"Answer: u**2 - 16*u + 8842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/66 and -29\/157463856.\nAnswer: 157463856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778923361?\nAnswer: 1778923361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.4747 milligrams in kilograms?\nAnswer: 0.0002714747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 6. Let d be m(5). Suppose -r + 18 = -3*r. Let a(f) = f**2 + 7*f - 10. Let h be a(r). Calculate the highest common factor of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41202)\/139302*3\/21\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9*t - 4*t - 55, -t = 5*f + 1. Suppose -16 + t = -s. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4687\/4331 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 21 = -35*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**(-1)*y*y))\/y)\/y)\/y**21)\/(y**(-9))**(-1\/17) assuming y is positive.\nAnswer: y**(-400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2014, -3998, -5830, -7432, -8726, -9634, -10078?\n\"Answer: 13*d**3 - 2*d**2 - 2069*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 36. What is the least common multiple of (-1 + u)*9\/(-18) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2441684 is divided by 203473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(170)*-2 + sqrt(170) + sqrt(170)) - 3*(sqrt(170) + (1*sqrt(170) - sqrt(170) - sqrt(170))))*-4)\/(-1*sqrt(60)\/sqrt(6) + -2*sqrt(1210)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 505408824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511 and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1791, 1162, -333, -3060, -7385, -13674?\n\"Answer: -61*p**3 - 67*p**2 - p + 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10)\/(32\/(-400)). Suppose 5*k = -w + 4 + s, 3*w - 31 = -4*k. What is the remainder when 35 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051922355 to 5 decimal places.\nAnswer: -0.00519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/51578 - -1985757\/206312. Let o = -1152 - -10387\/9. Find the common denominator of o and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 445 + -450. Let m = 24 + -25. Put 42, m, s in decreasing order.\nAnswer: 42, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2042 - -2992. Calculate the highest common factor of g and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-345)*(-2)\/(-4)*3\/3.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42039 and 1739169?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-4 - 3) - (-24 + 33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*o + 2 = 0, -3*o + 1 = 5*i + 4. Is 14\/2 - i\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, 4, 2, -3, 17, -7 in descending order.\nAnswer: 17, 4, 2, -3, -7, -364","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14 - 5*w - 6 + 3*w - 8 + 29. What is s(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 827483\nAnswer: -827491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 24 = -2*k. Let c be (-7)\/(-1 + k\/(-20)). Let b = c - -55. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62599 and 6913476.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 5*i**4\/12 - 2*i**3\/3 + 5*i**2\/2 - 5*i. Does 15 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -611*s**5 - 103*s**2 + 2 wrt s.\nAnswer: -36660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 780*m - 5313.\nAnswer: -3*(m + 7)*(m + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2387.7 + 2391.7. Which is the fourth smallest value? (a) -1\/6 (b) m (c) 0.5 (d) -2 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 6*n + 1. Let u(r) = -8*r**3 - 5*r**2 - 32*r + 13. What is -6*p(q) + u(q)?\nAnswer: -2*q**3 + 25*q**2 + 4*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 1. What is v(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/5 - 548*q**2\/5 - 4592*q\/5 - 1392.\nAnswer: 4*(q - 145)*(q + 2)*(q + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341400 and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 14. Suppose -66000000 = -y*q - 3*q. What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*h - 26*h - 16*h**3 + 10*h**3 + 4*h**3.\nAnswer: -2*h**3 + 144*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4227.5865 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*w + 104, 6*x + 4*w = 2*x + 100. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 5544 = 27*q. Let a = -1972\/5 + q. Determine h, given that a - 12\/5*h + 4\/5*h**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.97044436 to 1 decimal place.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -120?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -23. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-4)\/20*-17. Let j(m) be the first derivative of 2*m**4 + 16\/3*m**3 + 10 - 4*m - 4*m**2 - n*m**5. Let j(s) = 0. Calculate s.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 941*g + 5228. Let v be b(-5). Put 2, -4, v in increasing order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-16) + 18)\/(42\/(-32))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 39 - 10. Suppose k*q = -q + 16. Solve 0 = -2*d - q*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**5 + 155*v**4\/2 + 2395*v**3 + 36890*v**2 + 283220*v - 354. Factor c(l).\nAnswer: 5*(l + 14)**2*(l + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865374?\nAnswer: 2, 7, 133241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*k + 111 = 0, -3*k = 2*d - 19 - 24. Solve d = 5*w + x, -3*w - x + 1 = -14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156427, -156435, -156445, -156457, -156471, -156487, -156505?\nAnswer: -156525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 17 = -25. Let a be 3\/h + 90\/(-4). Let n = a - -39. Solve 4*z - n = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y**2 + 50*y + 575. What is the tens digit of p(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from {e: 1, h: 4, f: 1, c: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3743544 by -84.\nAnswer: -44566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 324*g - 7296 = 0 for g.\nAnswer: -76, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 16*u + 0 + 1\/6*u**3 + 3*u**2. Let g be j(-1). Solve -35 = g*r + 5*z, 0*r - 3*r - 17 = z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.53 + -3.47. Which is the nearest to 0? (a) 0 (b) 1.7 (c) -0.2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-17)*k*k)**(-4\/17)*k**(-11)*k**(10\/9))**(-11\/4) assuming k is positive.\nAnswer: k**(11099\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2*s + 6. Let c = -51 + 71. Find the common denominator of (37\/c)\/((-5)\/(-20)) and h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + -3 + -30 + 28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -1\/2*f**2 + 2*f + 1\/2*f**3 + 0. What is the first derivative of b(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4464.96130581 and 0.533?\nAnswer: 4464.42830581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + -35bbd?\nAnswer: -35b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -9*o**4 - o**3 - o**2 + 3584*o - 2593. Differentiate d(i) with respect to i.\nAnswer: -108*i**2 - 6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 3*l**3 - 3*l**3 + (l**3 + 2*l**3 - 4*l**3)*(3*l - 7*l - 7*l).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15\/4)\/z)**(-16\/3))**(-46) assuming z is positive.\nAnswer: z**(-3496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.743576g in nanograms?\nAnswer: 743576000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2460.818 kilometers to centimeters.\nAnswer: 246081800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 153, 0, -58 in decreasing order.\nAnswer: 153, 0, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250980 (base 10) in base 2?\nAnswer: 111101010001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/204 and -37\/33126.\nAnswer: 1126284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334986 is divided by 611?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2065*y - 16552. What is c(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/24 + q**5\/20 + q**4\/8 - q**3\/2 + 8*q**2. Let m(c) = c**3 - c**2 - c + 1. Give -3*m(z) - n(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 526\/5 - 105. Which is the nearest to -0.1? (a) 0 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 886998 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Suppose -6 = 3*s - 18. Suppose f - 19 = 5*n, -5*n + 77 = s*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6)*-1) + 4 + -2.\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-10) - (4 - 203\/58)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*v + 33, 4*n + 0*v = 2*v + 12. Let m(u) = 17*u + 68. Let p be m(-7). Let f = 61 + p. Solve -f = -0*h - n*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -176. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(57)*-3)\/(sqrt(1188)\/sqrt(11)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1083, -2\/23, -8\/19, 1\/2, 0.7?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77013 - -112051. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124555 (base 7) to base 8\nAnswer: 55342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660769 is divided by 77?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7454 - 103214 = -16*g. What are the prime factors of g?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*4 - (-7 + -4). Solve 5 - y = -5*u, -4*u + 8 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120012021112 (base 3) to base 14\nAnswer: 17895c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 4140\nAnswer: 289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*p + 1531, p - 164 - 217 = o. Let a = 634 + o. Is a a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*j**2 - 11*d*j - 138*d + 4*j**2 wrt j?\nAnswer: 4*d*j - 11*d + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*s = -2*s + 17, 4*a + 3*s = 23. Let m(r) = 5*r + 23. Let x(o) = 2*o + 11. Let z(f) = -4*m(f) + 9*x(f). Determine z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5))\/(((k\/k**(-9))\/k)\/k*k*k) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 + 48\/22. Suppose 0*c = f*c + 56000. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/620)\/(32\/20*3\/108).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62001492 and 15540?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*3*sqrt(133)*4)\/((sqrt(7) + -1*sqrt(1008))*-5*-1).\nAnswer: -36*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19540427*y**4 + 282889525*y wrt y?\nAnswer: -234485124*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjjwccccoejooa. Give prob of picking 2 o and 1 j.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + d = -2, -4*y + 7 = -3*d + 1. Suppose 1 + 2 = -3*n + 3*q, -2*n + 4*q - 4 = 0. Suppose n*a + a - 112 = y. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 20*j**2 - j - 22. Let i be g(-20). Let l be 5 + i\/1 - (-3 - 9394). What is l rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2288, 2289, 2290, 2291, 2292?\n\"Answer: u + 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at most -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 447214283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 957 - 480 - 2*v**2 - 477. Let y(d) = -3 - 4*d + 0 + 8. Determine p(y(f)).\nAnswer: -32*f**2 + 80*f - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + 4. Let c be k(0). Let x be c - (-7)\/(3 + -4). Let u be 17 - 14 - (x + 2). Solve 3 = -4*m + t, -4*m + t = m + u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 963901 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**3 + 5*v**2 - 5*v + 6. Let s be 4\/(-3)*6\/(-2). Let k(c) = 8*c**3 - 4*c**2 + 4*c - 5. What is s*t(x) + 5*k(x)?\nAnswer: 4*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/105*(-3)\/(-3). Let x = 2 - 1.8. Let u = 1.1264 - 0.1264. Which is the nearest to x? (a) 0.2 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 30*g + 2. Let s be q(30). Let o(y) = y**3 - y**2 - y - 1. Calculate o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let i be (-1*z - -3) + 7. Let n = i + -1. Calculate the greatest common factor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {y: 6, e: 3, m: 1, r: 2, h: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 4\/5 + 0. Let a be 6\/((-12)\/3425)*(-4)\/35. Let k = 196 - a. What is the biggest value in 0.1, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 15}. Give prob of sequence gw.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49805 and 525.\nAnswer: 747075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 206584 divided by -8\nAnswer: -25823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*j = -4*j + 4, -5*x - j - 4 = 0. Suppose 34*k - 30*k - 5528 = x. Find the third derivative of 15*g**2 - 1379*g**5 + k*g**5 - 53*g**2 wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5208)\/(-247380))\/(136\/190)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {f: 1, e: 3, v: 1, b: 1, n: 3, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12423, -49405, -111049, -197355, -308323?\nAnswer: -443953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/27 - (-85)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2799, 2385, 1971, 1557?\n\"Answer: -414*d + 3213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 9 - 81)*(-2*h + 3*h - 3*h)*(2 - 1 + 0)*(-33 - 16 + 16).\nAnswer: -6798*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -56. Suppose 2*q - 2*b = l, b = q - 3*q + 33. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t - 49. Let j be n(10). Suppose b = -2*w - j - 6, 2*b - 26 = 4*w. Solve 0 = -5*v - 22 - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygghgld. Give prob of picking 1 y and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 3879923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 56840.\nAnswer: 227360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 6\/11, -6 in descending order.\nAnswer: 6\/11, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33596 + -33528. What is the highest common factor of 68 and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.845613 millilitres to litres.\nAnswer: 0.006845613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = t + 5*y, 0 = 2*t - 4*y + 2. Sort -5, 4, 0, t in decreasing order.\nAnswer: 4, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdbq when four letters picked without replacement from {k: 1, y: 4, b: 1, q: 1, d: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/39 (b) 0 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -19 + 27 - ((-1 - 0) + 0). Let z be 32\/12 + 1 + 3\/m. Solve d - z = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, x: 2, r: 1}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20.28372cm?\nAnswer: 0.0002028372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Suppose 5*l = 0, -l - 3*l + 24 = 4*o. Suppose 3*f + o = f. Which is the smallest value? (a) -0.2 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 230050\/33 or 6972?\nAnswer: 6972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21865.\nAnswer: 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 30. List the prime factors of b(23).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 7*i + 8*i - 9*i - 3*i. Let y(k) be the second derivative of -2*k**3\/3 - k. Calculate n(y(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/6)\/((-30)\/(-80)). Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/88*18)\/(3*5\/60).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - 6\/9. Let x be -1 + (l - -2) + 339. Let p = -186 + x. What is the highest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = 366*j - 685 + 5401 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -183553, 555 in descending order.\nAnswer: 555, 4, -183553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -125*q + 17. Let v be g(10). Let f = v - -2439. What are the prime factors of f?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -184. Suppose 0 = 5*w + h - 25. Solve -4*u - 4*s - 3 = 25, 5*s = -w*u - 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*r = -3*r + 8, -2*k = 2*r - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f + 3. Let y(a) = 1. Let h(j) = k(j) - 3*y(j). Let t(q) = -2*q. Determine t(h(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4 - 4478*o**3 - 27*o**2 - 8*o + 2.\nAnswer: -72*o - 26868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136 + 9.96.\nAnswer: 145.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (9 - -34) - -32) + 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000909226 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20181384 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddje when four letters picked without replacement from aadmedaejmee?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let f = -9 + 13. Let r = 6 - f. What is the third smallest value in 1, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j = -189 + 961 + 288 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1733841 and 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(7\/6)\/w)\/w)\/((w*w*w**45*w)\/w) assuming w is positive.\nAnswer: w**(-281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12*w + 1658936 = 16*w, 3*w + 1658915 = 4*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 + 6*n. Let z(b) be the third derivative of -b**6\/120 - b**5\/12 - 5*b**4\/24 - 19*b**2. Calculate -5*a(g) - 6*z(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Let m be 4*g\/((-88)\/(-3)). Let w = 35\/44 - m. Which is the closest to 0? (a) w (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759359322.\nAnswer: 2, 3, 31, 113, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r + 63. Let j be v(-4). Solve j = 9*g - 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008632 to 6 decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4505 = -781*g + 47460 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154718\/5 + (-20)\/(-50).\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 83*a**3 - 5*a + 2 - 84*a**3 + 3*a**2. What is v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-27)*10\/15. What is the nearest to -19 in 1, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*m + 4*m**3 - 2*m**3 + 384*m**2 - 142*m to a + v*m**3 + r*m + q*m**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**6\/4 + 3*a**5 - 45*a**4\/8 - 35*a**3 + 57*a**2 + 180*a - 1958. Suppose f(n) = 0. Calculate n.\nAnswer: -2, -1, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1567*p + 1491*p + 2143276. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 0 + 3*v**2 + 3*v**3 - 793*v + 1 + v**3 + 796*v to the form j*v + x*v**3 + d*v**2 + r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let s = x + -0.1. Let f = 0.3 - s. Which is the closest to 0.1? (a) f (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1)\/(3 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4912*k + 1311. Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(343) + 3 + 5)**2 + 1*((sqrt(70)*3)\/sqrt(10) + -3).\nAnswer: 45*sqrt(7) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeovvvvvvvvveevvjvv. Give prob of sequence eoj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.971 rounded to zero dps?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 72315.52 rounded to the nearest ten?\nAnswer: 72320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 8 = -4*n - 38, 6*n + 3*l + 6 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38275, 76549, 114823?\nAnswer: 153097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 9. Suppose q + 28 = -4*p + 5*q, 0 = -4*p + 2*q - 28. Let j be d(p). Suppose l = j, -l + 67 = 4*o + o. Solve 2*f + o - 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 - -7.2.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 13, a: 2, u: 2}. What is prob of picking 2 a and 1 u?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-15)*(-6363)\/404*4\/14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 y when four letters picked without replacement from hhyyyjhjy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143.08581 - -0.30581. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13964.65571554578 minus -5?\nAnswer: -13959.65571554578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 2*k**4\/3 + 5*k**3\/2 + 13*k**2. Let g be x(-3). Let z = 43 + g. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 408 = -13*u. Suppose 425 = u*t - 29*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160943347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:24 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80a789 (base 11) to base 8.\nAnswer: -4760206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-168) + 38\/28*2. Let q = -1 - -1. Let a(b) = -b**3 - b**2 + 5. Let k be a(q). Solve -k*m = -4*m + d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3828, -9368, -18602, -31530, -48152?\nAnswer: -68468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4837912 or -2?\nAnswer: -4837912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2910 divided by -582.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*g - 192 = -163*g. Solve -11*h - 17 - g = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 1 + 9*r + 0 + 1. Let b be f(9). Suppose -b*v - 109 = -3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 995.1l?\nAnswer: 995100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/(-95))*(-9)\/30*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6212 and 914717.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - 4*y**3 - 7 - y**2 + 10*y**3 to the form j*y**3 + g*y + w*y**2 + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 432700 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 288345331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2) + 8\/2. Let q be 26\/10 - c\/(-15). Suppose 2 = l, 2*r = -0*r + 5*l - 2. Solve 0 = x + r*o + 17, -q*o = -2*x - 0*x + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((1 - 2)\/(-6)). Let i be -3*(1 + -9) + 1. Solve -f*a + i = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 104*t - 1. Let r(y) = -21*y. What is -2*b(q) - 11*r(q)?\nAnswer: 23*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21324505 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17425, 34803, 52181, 69559, 86937, 104315?\n\"Answer: 17378*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-5 - -4)*3*-1. Suppose -3*j + 2*w + 23 = -0, -5*j + 5*w + k = 0. Solve l - 22 = j*t, 0 = 3*t - 2*l + 6*l + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14200\/(-2130) - (-9)\/1.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -164*k - 163617. Determine s(-998).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, x: 1, i: 2, v: 2, g: 4}. Give prob of sequence xjj.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7888*b - 8*h = 7893*b - 172, h = -4*b + 35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -55\/4, 716\/7?\nAnswer: 716\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1169)\/(-68) + (-18)\/(-12). Let s = 1\/17 + r. What is the common denominator of -27\/22 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(2 - 0\/(6 - 2)). Is 2 a factor of (z - (-1416)\/78) + (-2)\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 11*v + 16. Let b be p(-9). Let z be (0 + -3)*b\/3*11. Let o = z - 12. What is the greatest common factor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 - 3*f + 2. Give v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2. Let c(p) = p + 1. Let i(w) = -54*w - 42. Let z(o) = -84*c(o) - 2*i(o). What is z(g(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 49. Let o = f + 34. Let z = 97 - o. Calculate the highest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.1638 litres to millilitres.\nAnswer: 228163.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -4*w - 159*a + 29, 3*w + 13 = 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + ((sqrt(1008) + sqrt(1008) + sqrt(1008) + 3*sqrt(1008) + sqrt(1008))*-6 - sqrt(1008)) + sqrt(1008))*-1*-6)**2.\nAnswer: -181440*sqrt(7) + 64012932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41698 and -0.1.\nAnswer: -41698.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iriirii. Give prob of sequence rii.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-6*(0 + sqrt(1100)) - sqrt(1100) - (sqrt(1100) + 2*sqrt(1100))*5 - ((sqrt(1100) - (sqrt(1100) - (-1 + sqrt(1100) - sqrt(1100)))*2) + 5)) + 3)**2.\nAnswer: 485101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 - 39*z**2 - 98*z - 12. Let y(x) = x**3 - 12*x**2 - 33*x - 4. What is 4*l(c) - 13*y(c)?\nAnswer: -c**3 + 37*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 4*h + 10. Let f be x(5). Suppose -2*q = f*z - q - 20, -11 = 3*z - 4*q. Let a(u) = 4*u + 3*u + 0*u + u**2 + 3 - z*u. Calculate a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13429 = 97*w - 10034 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 65. Let t = -26 + a. Suppose s - 3*c + t = 0, 2*s + 2*c = -2*c + 14. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 14) + 54 + 3 + -3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 0, 4\/11, -39, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29351035739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/3 - 69*m - 5038\/3 = 0.\nAnswer: -22, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9493879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1920835345 + -134451188829\/70. Let g = f - 104078. Calculate the common denominator of g and 29\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*q + 17 = -0*q, 5*w - 4*q - 41 = 0. List the prime factors of ((-6)\/w)\/(3\/(-70)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/11)\/(z*z*z\/(z*z**13*z*z)*z) assuming z is positive.\nAnswer: z**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/10*((-100)\/24)\/(-5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 178\/154393 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 12*b + 4. Let a be t(7). Suppose -j - 2*j + 39 = 3*q, 3*j - 4*q = a. Let i = 19 - j. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029 is divided by 89?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Suppose k + 2*k - 27 = s. Let m = k + -5. Solve 0 = y - 4, -r + 3*y + 4 = m*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -715534, -715664, -715794, -715924, -716054?\nAnswer: -716184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127286.\nAnswer: 2, 31, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149, -330, -563, -860, -1233, -1694?\n\"Answer: -2*g**3 - 14*g**2 - 125*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -5*v, 3*l - 3 = -0*l. Suppose y - 5*r = 5*y - 381, -3*y = v*r - 287. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 - 604*w**2 + 23 - 72 - 18 - 35 wrt w?\nAnswer: -1208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05525 - 0.05525. Let s be (2 - 1)\/((-5)\/35). Let f be ((-3)\/(-7))\/(2\/s). Put f, 0.1, d, -3 in ascending order.\nAnswer: -3, f, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c + 30. Let l be q(-3). Solve -1 = f + l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7.77, 0.5323, 2\/7, 5\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -857\/10400 + 1\/416. Which is the second smallest value? (a) -6 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 73637646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 + 8. Suppose -9*v + 30 = -3*v. What is the tens digit of y(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.089 + 6.069. Let u = g + -6. Let r = -0.32 - u. Which is the closest to -1? (a) 0.1 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 - 112102?\nAnswer: -200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(2*1))\/((-4127074)\/269157)*(-1)\/(-2)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 3*o + 3. Let z be l(4). Let d be ((-2)\/(-4))\/(z\/(-550)). Suppose -5*k = -b - d, 5*b - 7 = k + 10. What is the closest to 1\/5 in -0.4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 12. Let c be y(19). Solve 4*s = -x - 0*x + c, 3*x = -2*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/13))**(-4\/3)*(k**(7\/11)\/k)\/((k\/k**29)\/k*k) assuming k is positive.\nAnswer: k**(11680\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etl when three letters picked without replacement from tssslwses.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**4 - 24*n**3 + 36*n**2 + 8*n.\nAnswer: -4*n*(n - 1)*(n + 2)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*b**3 - 528*b**3 + 107*b**3 + 83*b**3 + 73*b**3 + 84*b**3 + 88*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060853915?\nAnswer: 5, 11, 19288253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1142*m**2 + 294387*m - 294387*m in the form a + k*m + j*m**2 and give j.\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 + 0 + 5 + 5*t**2 + 14*t. Let y be i(14). Suppose 2*a + y*c = 1764, -1714 - 68 = -2*a + 4*c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -15556b?\nAnswer: 155579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4345, -4343, -4339, -4333, -4325, -4315, -4303?\n\"Answer: r**2 - r - 4345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73406831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/3 + b**3\/6 - b**2. Let s(z) = -12 + 6*z + 3*z - 3 + 14. Calculate 7*j(g) + 6*s(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-17))\/(15582\/(-1147874)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043355 a multiple of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.1 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m, m - 36 = -2*x - 32 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*o - 5*o**3 - 400*o + 3*o**3 + 7*o**3.\nAnswer: 5*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.1 - -22. Is a != -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1416.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43.4 and -8.7.\nAnswer: -377.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let c be (2 - -1 - 0) + 1. Suppose -c*y - 45 = 5*w, -2*w + 0*w - 3*y = 25. Sort w, d, 1 in descending order.\nAnswer: d, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15413, -15383, -15353, -15323, -15293, -15263?\nAnswer: -15233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*r + 3*f - 0*f, -2*r - 14 = -3*f. Let c(g) = 61*g**2 + 3*g + 3. What is the tens digit of c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 5*j**2 + j**2)*((-2*j + 0 + 0)*(0 - 2 + 4) + j + 3*j - 2*j - 3 - 2*j + 3 + 10*j - 14*j + j).\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2271978841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f - 9. Let m be u(-9). Solve -j - 2*j = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179356.780086 + 179357. Let j = 0.22 - o. What is j rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79\/4 in -3, 0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2062848 by 816.\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 + 5. Let k = -2 + -4. Let f be b(k). Suppose -4*p - f*i + 52 = -13, -5*p + 70 = 4*i. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/497 and -19\/23359?\nAnswer: 23359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**3 + 2\/3*f**4 + 1\/3*f**6 - 5 + 0*f**2 + 9*f + 6\/5*f**5. Factor r(m).\nAnswer: 2*m**2*(m + 2)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 229.\nAnswer: -6\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6683, -13308, -19933?\n\"Answer: -6625*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517876759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715571511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5733)\/371742 - (-560)\/59360?\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 57. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/147396 and -53\/6228.\nAnswer: 442188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c - 177 = 142*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -77, -181, -327, -515, -745?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-342)*333*2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - 3\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -3*y**5\/5 + 3*y**3 - 3*y**2 - 8. Factor s(k).\nAnswer: -3*k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - sqrt(18))**2*2 + sqrt(12)\/(sqrt(6) - (4*sqrt(6) - sqrt(6))) + -1 + (sqrt(32) + 2 - sqrt(12)\/sqrt(24))).\nAnswer: 12*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 0*u + 0*u**2 + 3\/2*u**4 + 3\/2*u**5 + 0.\nAnswer: 3*u**3*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:37 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 39504430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 77 - 65 - (19 + (-5 + 3 - -3)) - -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/43 (b) 0 (c) -2\/21 (d) -0.3 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -2. Let r = j - -4.4. Let a = -0.9 + r. Put a, -3, 1\/2 in descending order.\nAnswer: 1\/2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1462177 by 47167.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2478 (base 16) to base 14\nAnswer: 358c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453874*r*z**3 + 250964*r*z**2 + 2*r + 3*z**4 + 1 wrt z.\nAnswer: -2723244*r + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10987050 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(3\/2)\/k)\/k))**41)**(1\/26) assuming k is positive.\nAnswer: k**(123\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let i(d) = -3*d + 7. Let p(w) = i(w) + 4*r(w). Suppose 0 = 96*o - 88*o + 9376. Let l = -1179 - o. Determine p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 - -147. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9587552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 37*b - 22. Let x be s(-10). Calculate the greatest common divisor of x and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b**5 - 3090*b**4 + 15685*b**3 - 27610*b**2 + 18300*b - 3320 = 0. What is b?\nAnswer: 2\/7, 1, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64140 (base 7) to base 14.\nAnswer: -5ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4) + 4)*3)**2 - sqrt(21)\/(sqrt(700)*2) - (2 + (-2*sqrt(324))\/(sqrt(432) + sqrt(432) + -2*sqrt(432) + sqrt(432)))**2.\nAnswer: 1519*sqrt(3)\/20 + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -29. Let y be q\/(-12)*32\/(-40). Which is the smallest value? (a) -0.2 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 551 and 4508?\nAnswer: 2483908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5597161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.26 + -26.96. Let m = -373\/7 - -53. Let q = 0.19 + 0.21. Which is the closest to 0.2? (a) m (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4259*g**4 + 2*g**3 + 2*g - 1072?\nAnswer: -51108*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 33*n = -96. Suppose -n*j + 4*j + 362 = 0. List the prime factors of j.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n + 1. Let q be s(-3). Let a = 6 - q. Suppose -r + a = 5*k, -4*r = -6*r. Calculate the highest common divisor of k and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*z - 19 = -3*z, -4 = 4*l + 4*z. Let v(g) be the first derivative of g + g**2 + 1\/3*g**3 + 1. Determine v(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20d - -29f8?\nAnswer: 2c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-68))\/((-100720)\/2720 - -37)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*14\/(-28)*(3 - (-374)\/(-126)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -0.1. Let y = 435 - 636. Let l = -2209\/11 - y. Which is the closest to l? (a) 0 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1441323030 + -3?\nAnswer: 1441323022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-120)\/65 - 8\/(-260)*-5. Put 4, i, 1, 7 in increasing order.\nAnswer: i, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, -250, -948, -1646, -2344, -3042?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2. Let x be b\/(-3) - (-28)\/6. Let i = 0 - -3. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-16))\/(n\/((n*n*n**5*n)\/n*n*n))*(n*n**13\/n*n)**(-32))**(-26) assuming n is positive.\nAnswer: n**10998","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 4 - 4)*((-4 + 2 + 8)*(2 - 2 - 1) - 6 + 2 - 3) in the form y + p*s**2 + g*s and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/143 - ((-2559)\/195 - -13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - -0.4. Let y = -0.2 - -0.3. Let m = -21 - -20. What is the closest to y in 1\/3, j, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 77*h + 79*h - 8*h - 27*h.\nAnswer: 133*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 428, 622, 788, 920, 1012, 1058?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 2, t: 1, d: 2, o: 3, u: 1}. What is prob of picking 1 j, 1 y, and 1 o?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627569 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/1080 + w**5\/36 + 7*w**4\/108 + 6*w**2 + 16. Factor p(v).\nAnswer: v*(v + 1)*(v + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038578249?\nAnswer: 1038578249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -602\/15 + 40. Let s be (1*-2*1)\/5. Which is the biggest value? (a) k (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67127*i**6 + 81863*i**2 wrt i.\nAnswer: 8055240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 306*l - 305. Determine q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -287.84355115925 + -0.3.\nAnswer: -288.14355115925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598699.\nAnswer: 163, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684557 is divided by 15120.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28928 - -46306. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 + 1235*o**2 + 2455*o + 1225 = 0?\nAnswer: -245, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1405 (base 13) to base 6\nAnswer: -21154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 441 + -405. What is the lowest common multiple of j and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 9. Let s be z(7). Let x be (11 - s\/1) + 1. Let b(d) = 17*d**2 + 23*d + 26. Let t be b(-3). What is the greatest common divisor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/(-50) + (45\/6)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -289f + 4d7?\nAnswer: -23c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 627\/2 + -267. Calculate the common denominator of 1\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -164. Suppose -3*o - 9 = 0, -2*c - 6 = 5*o + 7. Let b(i) = 11*i**3 + 2*i - 1. Let d be b(c). Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/24 + 2*w**3 + 2*w**2. Let h(s) = -17*s**2 + 131*s + 53. Let j be h(8). Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.71 - -71.11. Let c = -2 + 6. Put q, -5, c, 0.1 in decreasing order.\nAnswer: c, q, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 1064*z = 0.\nAnswer: -266, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*h + 4 - 3*h - 6 + 4*h)*(20*h**2 - 30 + 30 + (-23*h - 4*h + 2*h)*(1 + h - 1)) as k*h**2 + l + i*h**3 + t*h and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 514 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6587\/2823)\/((-7)\/(-129))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498 = -138*q + 334 - 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 + 16 + 1 - (-1 - -37)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1619 - 1607. Solve -3*s = -f, -s = 55*r - 52*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 74*c + 2. Let j(o) = -674*o**2. Determine a(j(l)).\nAnswer: -49876*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11570 is divided by 2311?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799038892?\nAnswer: 2, 11, 17, 23, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 5695, 19294, 45797, 89506, 154723?\nAnswer: 245750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 - 5*j + 6. Let h be f(1). Solve h = b - o, 5*o = -4*b + 6*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8853877?\nAnswer: 179, 49463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 g when four letters picked without replacement from {d: 4, g: 2, r: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*n**2 + 676*b**3 - 39620*b*n**2 - 6*b*n wrt n?\nAnswer: -2*b**3 - 79240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 2*i + 46, -5*i + 3*v - 102 = 0. Let u = i - -33. Let q = u + -7. Solve 21 = -q*f - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, w: 7}. Give prob of picking 2 w and 1 e.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1331434*l**4 - 2611737*l**2 wrt l?\nAnswer: 31954416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3946\/5901 + -4\/1967. Sort 0, 3\/7, w, 0.642 in decreasing order.\nAnswer: w, 0.642, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(((7 - 7) + -1)\/(-1)). Solve 0*q + n*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (147\/(-210))\/(10\/(-28)) and 19\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19894 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and -52.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Let x = -125823 - -125823. Factor 128*n + 1\/4*n**o + 48*n**2 + 6*n**3 + x.\nAnswer: n*(n + 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-20)*d\/d**(-47) assuming d is positive.\nAnswer: d**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 98, 52, -34, -166, -350, -592?\n\"Answer: -m**3 - 11*m**2 + 28*m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-29 - 3195\/(-110)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 102. Let j be s(-12). Suppose 0 = j*a - 1151 - 10729. What is the greatest common divisor of a and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33670?\nAnswer: 2, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -2, -6, -9, 1, 4, -7 in ascending order.\nAnswer: -9, -7, -6, -2, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6583415913\/1771 + 3717344. Let b = y - -1\/161. Put 2\/3, -0.8, b in descending order.\nAnswer: 2\/3, b, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 451\/1858864?\nAnswer: 451\/1858864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -19. Let j be 45 - (d - -4)\/(-4). Suppose -3*u + 168 = j. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k**2 - 334*k + 1610. What is z(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75.83234ns?\nAnswer: 0.07583234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*m + 56*m + 42*m + 377 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 44. Calculate the remainder when (-2376)\/(-56) + -6 + (-6)\/14 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**3 + 2980*u**2 = 0.\nAnswer: -596, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 5*y - 4. Suppose 0 = 3*m - m - 2. Let n be z(m). Calculate the greatest common divisor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 8. Let o = 67 - s. Suppose 6 = -3*p + o. What is the greatest common factor of p and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/21 - (0 + (-2)\/7). Let w be g\/(3 - 2397\/801). Calculate the common denominator of -12\/11 and (-15)\/5 - (-3 - w\/(-54)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354591 is divided by 353634?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71822 - -108264. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 24*o**2 + o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -115*b**8\/336 + b**4\/8 + 31*b**3\/6 + b**2 + 16. What is the second derivative of y(k) wrt k?\nAnswer: -2300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 156, 154, 138, 102, 40, -54, -186?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 379382467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 437304.7 * 5.\nAnswer: 2186523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0046 - -12.9746. Let f = r + -12.96999381. What is f rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8296, 16583, 24870, 33157, 41444, 49731?\n\"Answer: 8287*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768 + 71428\/93. Find the common denominator of w and 61\/5.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 16 in ascending order.\nAnswer: -3, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-4*r**3 + 4*r**3 - 2*r**3)*(-3 + 8 - 1).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1854*y - 1119*y - 784*y - 1724*y - 5522 wrt y?\nAnswer: -5481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2906*t + 296. What are the prime factors of l(-18)?\nAnswer: 2, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595415333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 2*p - 3. Let t(a) = -20*a**2 + 9*a + 11. Let h(u) = 2*t(u) + 9*w(u). Factor h(i).\nAnswer: 5*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.884 - -0.016. Let w = v - 0.9. What is the biggest value in 0, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295 - 206. What is the third derivative of -44*l**2 - 43*l**2 + 13*l**4 + d*l**2 + 2*l**5 + 1 + 0 wrt l?\nAnswer: 120*l**2 + 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 7*y + 4. Let t(x) = -x**2 - x**2 - 3*x + 0 - 2. Suppose 5 = -o, -2*q = -q + 2*o + 15. Suppose -s + 1 - 3 = 0. Give q*t(v) + s*n(v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -10.02. Let a = -2010136 + 2010145.99917. Let y = q + a. What is y rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4 + 568\/144).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = 17. Suppose -8*l = -5*l - b. Let f = -3 + 8. What is the smallest value in -0.5, f, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 6*(-4)\/12. Let t(u) = 27*u**2 + 3*u + 3. Let y(b) = -755*b**2 - 85*b - 85. Give o*y(h) + 170*t(h).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 34*g**2 - 80*g - 56. What are the prime factors of m(-31)?\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12393)\/(-425) - 29)\/(1\/(-15))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248898071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203060, 406118, 609176?\nAnswer: 812234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*-3*(sqrt(190) + sqrt(190)*1)*-1)\/(-1*sqrt(110)\/(sqrt(132)\/(-1*sqrt(12)))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36637 by -2.\nAnswer: -36637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 + 38864*x**2 + 426*x + 45.\nAnswer: 40*x**3 + 77728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k - 3*k**2 + 22*k**2 - 83*k**2 - 15*k**2 + 41*k**2.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-24))\/((-2245)\/(-1796)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1107404 and 48148.\nAnswer: 1107404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 3*w + w)*(1 + 2 - 1)*((-1 + 1 + 1)*(-3*w + 2*w + 4*w) + 3 - 3 - 2*w) in the form v + i*w + j*w**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15280669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s. Let o(p) = 90*p + 2. Determine o(d(n)).\nAnswer: 1260*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 4*o - 78*m = 316, 0 = 3*o - 4*m + 5*m + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 356898.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-33)\/(-4))\/(8\/32). Let v = f + -20. Calculate the remainder when 36 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5346*t - 32528*t - 14885*t + 9935*t.\nAnswer: -42824*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 30 - 10. Suppose 9*t = q + 4*t - 182, g*t - 349 = -2*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*k + 30 = 0, -3*d - 10*k + 27 + 1 = -9*k for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.412 times 0.6?\nAnswer: -0.2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 15*a**2 + 15*a - 8. Let h be n(14). Solve 0 = h*j - 4*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664513212.\nAnswer: 2, 3, 2087, 146323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 36. Let y(p) = -2*p**2 + 93*p. Give y(u(k)).\nAnswer: -32*k**4 - 204*k**2 + 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 8) to base 11\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 2*j - 3. Let v be k(3). Let f be 82 - 4*3\/v. Suppose f = n + n. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 649655.1 kilometers?\nAnswer: 649655100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/9))**(2\/11))**(-34) assuming j is positive.\nAnswer: j**(-476\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m + 4*m. Let k(a) = -a**2 - a - 1. Let o(w) = w**2 - 3*w. Let i(h) = -6*h**2 - 4*h - 4. Let c(n) = i(n) + o(n). Determine m*c(z) - 6*k(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 516, 787, 1058, 1329?\n\"Answer: 271*w + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, w: 1, e: 2}. What is prob of sequence ew?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368.1 + -368. Which is the nearest to 0? (a) -2\/29 (b) 2\/3 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 - 403172*w**3\/3 - 6774162910*w**2 - 406270785752*w\/3 + 893834751832\/3 = 0. What is w?\nAnswer: -100783, -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 5. Let w be s(0). Let a(g) = g + 1. Let b(k) = k + 2. Let n be 11 - ((-686)\/70 - -10)*85. Calculate n*a(p) + w*b(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*x - 115*x - 180 = 0. Calculate the remainder when 88 is divided by x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r**2 - 2*r - 11. Let w(n) = 7*n**2 + n + 6. Let x(h) = -6*f(h) - 11*w(h). Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888020 and 18648420.\nAnswer: 18648420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81028 - -81027.9999837055. What is o rounded to 7 decimal places?\nAnswer: -0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emazagrg. Give prob of picking 1 e, 1 r, and 1 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(2*q**2 - 5 + 5 + (-q - q + 0*q)*(-11*q + 64 - 64)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151.1 + -504.1. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1734.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6571253633 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 + ((-76)\/16 - -3). Let q = -59 - -58. Which is the closest to q? (a) j (b) 2 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-360)\/(960\/(-40)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 4*p**2 + 0*p**3 + 0*p + 0 + 1\/24*p**4. Let n(m) = m**2 + 6. Let g(i) = 1. Let a(j) = -6*g(j) + n(j). What is a(w(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53.6354257526 and -0.06?\nAnswer: 53.6954257526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 24345*b**3 + 886188*b**2 - 17176740*b - 21168 = 0.\nAnswer: -252\/5, -2\/1623, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 24*j + 69. Let z be m(21). Suppose -z*u = -957 - 1071. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18715, -21088, -23463, -25840, -28219?\nAnswer: -30600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + a4?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113803.999893267 + -113804. Round w to seven decimal places.\nAnswer: -0.0001067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336 - -336.2. What is the second smallest value in 2\/7, -1, y, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -13*k + 390. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 236*r + 2914. What is the closest to 1\/4 in -0.3, -34, r, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 0 + 116 + -9. Suppose 0 = -4*c - g + 59, 2*g = -c + 6 + 7. Let m = 28 - c. What is the highest common factor of t and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5*w - 2*w)*(w**2 - w**2 - w**2) + (-3*w**2 + w**3 + 3*w**2)*(5 - 4 - 3).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p + 75. Let m be s(-6). Sort 40, 0, -2, m in ascending order.\nAnswer: -2, 0, m, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -13*a - 647. Let d(c) = 10*c + 431. Let v(t) = 7*d(t) + 5*m(t). Let y be v(45). Solve -y*w + 8*w = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 300\/(8\/16 - -1). Suppose f = w + 5*y, -1000 = -w - 4*w - 2*y. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - -47a370?\nAnswer: 47a394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q - 210. Let d = 8676 + -8649. Give f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-35 - -33) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*k**4 + 1253*k**3\/4 + 114*k**2 - 1253*k\/4 - 24 = 0. Calculate k.\nAnswer: -1, -3\/40, 1, 32\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -3*u + 39, 5*u - q = 48. Suppose -14*d + u = 37. What are the prime factors of (d\/3)\/(-6*8\/4680)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -112, 16, -0.3, 0.4, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 4760935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a99 (base 16) in base 4?\nAnswer: -1222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 903050 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 289008 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(315)*-2 + sqrt(315) + sqrt(315) - sqrt(315))*-5)\/(-1*2*sqrt(7)) + (-2*(sqrt(720) + 0) + 5)**2.\nAnswer: -495*sqrt(5)\/2 + 2904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324 * -16.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15777038.\nAnswer: 2, 7888519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.79285 rounded to one decimal place?\nAnswer: 782.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -5165.\nAnswer: 5165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5439835 is divided by 92.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-193.\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 213123302 (base 4) to base 2\nAnswer: 100111011011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b40 + 1?\nAnswer: -b3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, 584, 4, 0.4 in descending order.\nAnswer: 584, 4, 0.4, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 2*d - 6. Let x be r(2). Suppose 0 = 5*j - 5, -2*b + 0*j - j = -7. Factor 4\/5*w**b + 0*w**x + 0*w**4 - 2\/5*w - 2\/5*w**5 + 0.\nAnswer: -2*w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1 * 3178.\nAnswer: 19385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6065*y - 6070*y = 3*s + 8, 4*s - 3*y - 28 = 0. Solve 8 = -3*p + 3*d - 4, -4*d = s*p - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9256 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 4, o: 3, k: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*7\/(-14)*(-4)\/3. Does 31 divide ((-8160)\/(-32))\/(t - -1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359753685.\nAnswer: 5, 1493, 316109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/10 - 650*w**2. Let f(y) be the first derivative of -y**3\/3 - 4. What is f(s(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 8 + (0 + 8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/176 and -89\/1552?\nAnswer: 17072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224 - -222. Find the common denominator of c\/(-36)*73 - 1 and 47\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.997 and 5.\nAnswer: 69.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3014043 (base 5) to base 16\nAnswer: bb97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -0.09475339?\nAnswer: -0.09475339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2799.9.\nAnswer: 5599.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0174.\nAnswer: -0.00522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let y = 10 + -11. Let o(w) = -w**3 + 8*w**2 - 2*w. Calculate y*o(v) + 6*g(v).\nAnswer: v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123, 149, 175, 201, 227, 253?\n\"Answer: 26*q + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a + z = 23, 0 = 3*a - 4*z - 41. Let v be 1 - ((-1 - -2) + 0). Let p be 22\/6 - (-3)\/9. Solve p*m + 3*k - a = 0, -m + 2*k - 10 - 2 = v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 10) in base 4?\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 101 - -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 15946875 = 40590235. Suppose 0 = 2*y + 475664 + a. What is y rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 11. Suppose 2*s - 19 = 5*w, 4*s + u*w - 11 = 7*w. Solve g - s*l + 3 - 1 = 0, 0 = -4*g + 4*l - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 37. Let n be i(0). Let o be -1*n*(-1 + 0). Let b = o + -26. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*u = -10*u + 55476. What is the remainder when 233 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f**2 + f. Let t = 10 - 9. Let r(s) = -2*s**3 - 4*s**2 - 2*s. Give t*r(z) + 4*m(z).\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = i. Suppose i*v + 2*d = 70, 2*v = d + 2*d + 23. Calculate the smallest common multiple of v and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296889 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 258*k + 16380.\nAnswer: -(k - 1092)*(k + 60)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1825320*x**2 - 3535653*x?\nAnswer: 3650640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -m + 5, -4*m = -8*m + 5*l + 13. Solve -m*a - 12 = -4*t, 2*a + 10 = -0*a + 3*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 + 2*g**2 + 3 + 710*g**4 - 709*g**4 + 72*g - 70*g as p*g**2 + u + v*g**3 + q*g + z*g**4 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001871403 to 5 decimal places.\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 5420*d**2 + 1468820*d.\nAnswer: 5*d*(d + 542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 3. What are the prime factors of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9706*q + 9336*q + 9024 = -6146 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**6 + 0*u + 0*u**5 + 0 + 0*u**3 + 120*u**2 - 20\/21*u**7 - 25\/4*u**4. Find the second derivative of h(t) wrt t.\nAnswer: -2400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(720) - sqrt(720))*-1 - sqrt(720)) + sqrt(720).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -2 - (-2 - -3). Suppose 2*y + 5*p + 15 = 1, -f*p + 7 = 5*y. Is 1\/(y + (-460)\/154) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8996654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 40, 26, -2, -50, -124, -230?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -469\/9? (a) -21 (b) -58 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594.7871 rounded to the nearest 10?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 105\/(-45) + 580\/30. Solve -20*z + 2*i = -c*z + 21, -3*z = -3*i + 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2447 - 2447.00001997. What is z rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4582704 is divided by 4569.\nAnswer: 4566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = 6. Calculate the remainder when 28 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2354*b + 2324*b + 1 - 4582*b.\nAnswer: 96*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -285 + 287. Solve 5*v = 2*n - 6*n + 6, -2*n - k*v = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.649338 nanometers?\nAnswer: 0.0000003649338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1729 and 1703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -6, -16, -28, -42?\n\"Answer: -k**2 - 5*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 24. Solve -4*v + 5 = f*a - 11*a, 5*v = -4*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1\/5 (c) -1\/13 (d) -2\/3 (e) -4669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 9*m - 17. Let v(o) = 15*o - 454. Let z be v(31). Give d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8\/3)\/(j*(j**(-13)\/j)\/j*j)*j**13\/j**(-8))**26 assuming j is positive.\nAnswer: j**(2444\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-1)\/(-10)*-16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -37*b**2. Let f(x) = 18*x. Determine k(f(w)).\nAnswer: -11988*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -9, -4, 5, -8\/9, 0.4, 97?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 10, i: 7}. Give prob of picking 2 i.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (11 + 1 + 0)*(-4433)\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1582560 and 115\/731934?\nAnswer: 58554720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let g(k) = 203581*k**2. What is g(t(m))?\nAnswer: 203581*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 929*n - 20558 - 10352 + 9528, -79 = -2*k - 3*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20465 - -16800. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/42 - 3*l**6\/8 - 5*l**5\/6 + 15*l**4\/2 + 140*l**3\/3 - 235*l**2 - 2*l. Factor j(w).\nAnswer: -5*(w - 2)*(w + 2)**2*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 16*w - 5. Suppose -64 = -0*u + 4*u. Let r be n(u). Does 13 divide (4\/r*-1)\/((-12)\/(-390))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -2*j**5\/5 + 35*j**3\/3 - 28*j + 8. What is the first derivative of n(q) wrt q?\nAnswer: -8*q**3 + 70*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p + 7. Let a be m(8). Let h be (-16)\/a + (-4)\/(-18). Suppose -20 = -h*o - 4. What is the lowest common multiple of 22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -72*k**4 + 44392*k**3 - 1413482*k**2\/9 + 692840*k\/9 - 30650\/3 = 0.\nAnswer: 5\/18, 3, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrpppqrxxpppx. What is prob of picking 2 p, 1 q, and 1 x?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v + 3. Let n be u(0). Let j be (1\/(-2))\/(-1) - 1. Which is the smallest value? (a) 5 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2 - 0. Let p(r) = -6*r + 8. Let w be p(x). Let j = -9 - w. Put -2, j, -1.5 in descending order.\nAnswer: -1.5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + s, l = -0*l - 3*s. Suppose -4 = 3*c + 2*o, o = c + c + 5. Sort c, -1, l, 2 in descending order.\nAnswer: 2, l, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347558.3 - 2149\nAnswer: -349707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*1)\/((-10)\/30). Let h(l) = l**2 + 3*l + 1. What is the tens digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4175439 is divided by 270?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -0.12.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 - 3. Let g = -0.1 + y. Which is the second smallest value? (a) -0.3 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpqp when four letters picked without replacement from {l: 1, p: 3, q: 1, h: 5, j: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:15 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 6*a + 1745. What is the thousands digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 + 0 + -2*(-5 + 4). Let x(o) = 12 - 24*o - a*o + 51*o. Is x(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*z + 7 = -31, 0 = m + 3*z - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -212*o + 206*o. Let n = -7 + 13. Solve n*r - o*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.89 times 0.5?\nAnswer: -1.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1604 (base 7) in base 8?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/163 - -3025\/1304. Let p = m + -149\/56. Let g = -0.9 - -1. Which is the nearest to g? (a) -4 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 + 4*o - 2. Suppose 0 = -4*d + 3*b - 20, 0*d + d = -5*b - 5. Let t be a(d). Suppose 0 = -s - 0*s + 1. Sort t, s, 0 in decreasing order.\nAnswer: t, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.9 - -11.43. Round m to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7069 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62728030 divided by 12545606?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/28, 1, -0.159, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 7. Suppose 5*o - 5*z - 30 = -z, 0 = -5*o - 3*z + 65. List the prime factors of o + a - (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 267*h**2 - 203*h**2 + 42 - 61.\nAnswer: -470*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/9 - -97\/36. Let k = 191483 - 3446687\/18. Sort k, u, 0.2, 5 in decreasing order.\nAnswer: 5, k, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2564)\/(-144) + (-44)\/1584 + -18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-2)\/12) + 2. Let l be 17*x\/2*-2. Solve 3*k = l - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 7*a + 13. Is b(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 263504*p\/5 + 3689448\/5.\nAnswer: -2*(p - 14)*(p + 131766)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 4, -2, -58301 in ascending order.\nAnswer: -58301, -2, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63023, 126047, 189075, 252107?\n\"Answer: 2*o**2 + 63018*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) 2 (d) 111396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-1020)\/(-14) + (-2)\/(-14). Solve -b*t + 92*t - 90 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1268 - 1593. Suppose -p = 5*j - 782 + 138, 5*p - 3298 = j. Let v = p + a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 23 = 13. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 2. Let s be (0 - f\/(-9)) + 0. Which is the closest to s? (a) 3 (b) -1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8644 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*z**2 + 88 + 90 - 240 + 62.\nAnswer: 233*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.46, 3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)*z*z*z\/(z\/z**7)*z*z*z*z\/((z*z\/z**(2\/3))\/z*z*z)*z**(-5)\/z*z assuming z is positive.\nAnswer: z**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 17*w - 14. Let y(p) = -p**2 + p - 1. Let q(i) = -g(i) - 5*y(i). Let f(v) = -2*v - 30. Let r be f(-12). What are the prime factors of q(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4403 + 5440. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8247?\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -1, -4 in increasing order.\nAnswer: -4, -1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/((-287)\/35 - -7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1, -25, -81, -179, -331, -549?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31\/5*k**2 + 737\/5*k - 1\/5*k**3 + 141.\nAnswer: -(k - 47)*(k + 1)*(k + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 (base 8) in base 3?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31915476, -127661869, -287239190, -510647439, -797886616?\n\"Answer: -31915464*a**2 - a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/((-55)\/(-10)) + -2. Let v be (-1 + 2)\/((w\/1)\/(-120)). Calculate the greatest common divisor of 210 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e9 - 20?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921082001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.262 and -29.361802.\nAnswer: -29.099802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181\/2 + -120. What is the common denominator of h and -109\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2 + 2*v - 1. Let b(s) = -13*s**2 + 4*s - 3. Calculate -5*a(m) + 2*b(m).\nAnswer: 4*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-2)\/36)\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 20661010*d\/3 + 6887004.\nAnswer: -2*(d - 1)*(d + 10330506)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 + 0*a**5 + 3*a**5 + (-6 + 2*a**3 + 6)*(-2*a**2 + 1 - 1).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 595100 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d**5\/11 + 24720*d**4\/11 - 31830*d**3\/11 - 42400*d**2\/11 + 14136*d\/11 = 0 for d.\nAnswer: -1767, -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2072 and 91784?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 1405, 0.5, -2\/3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 29 = -2 + 8 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -64, -2\/9, 0.16389, -4, 0.2, -0.15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -89.7, 5, -4, -2\/7?\nAnswer: -89.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 51*s**2 + 637*s + 214. Let z be i(-30). Factor 0 + 1\/12*f**z - 1\/6*f**2 + 0*f - 1\/12*f**3.\nAnswer: f**2*(f - 2)*(f + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 8 + 7 - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -22. Suppose 5*m = 5*f - 19 - 6, 0 = -3*f - 4*m - b. Let x(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/3 + p**2 - p. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 82462196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*a + 6*a, -5*a = -4*g + 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*j**4 + 3\/7*j - 3\/7*j**3 - 4\/7 + 5\/7*j**2 = 0. What is j?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 1. Let y(m) = -m**3 - 10*m**2 - 3*m - 36. Let x(f) = -2*l(f) - y(f). Let t be x(-8). What is the greatest common factor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b62db + 0?\nAnswer: -b62db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13978236 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7650*g - 357. Let o(i) = -107*i - 5. What is 5*n(m) - 357*o(m)?\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {j: 2, q: 2, f: 1, s: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.3 - 0.5?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178858 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 4.629, -33, -1\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -116. Solve 19 = q*i + 2*p, 5 = 3*i - 0*i - 2*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -15*q + 1\/2*q**4 + 0 - 1\/2*q**2 - 2\/3*q**3 + 1\/20*q**5. Give y(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -361*s**2 - 67*s**2 + 1155*s**2 to the form k*s + l*s**2 + i and give l.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009223599 to 6 dps.\nAnswer: -0.000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 2760\/79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/13)\/(-23 + (-1380)\/(-150))\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*t + 69*t**2 + 312*t**2 - 784*t.\nAnswer: 381*t**2 - 47*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6587*m*y**2 + 11*y**2 - 6*y + 6 wrt m?\nAnswer: -6587*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39740144?\nAnswer: 2, 281, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473606148 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 14. Suppose 3*s - 4*s - 13 = -2*x, 5*x = -2*s + 37. Sort o, -3, x.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtt when three letters picked without replacement from {x: 3, t: 6, j: 2, k: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 87. Give k(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 8685460 = -47*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 4*k)*(-3*k + 2 - 2) + (-3*k + 4*k + 4*k)*(-6*k + 5*k + 2*k) + 0*k**2 + 0*k**2 - 2*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150409 is divided by 207?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 12 = 0. Suppose -2*a + 9 = -3*z + 18, -h*z = -5*a. Differentiate -2 - 5*n**3 - a + 0*n**3 + 3 wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3478, -3473, -3464, -3451, -3434?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7030 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-5) - (-6)\/30. Let x be (12 - 14)*(-1 + 18\/12). Sort -4, x, k, -6.\nAnswer: -6, -4, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37238, -2, -1\/10?\nAnswer: 37238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -841\/5 - -169. Let w = 0.2 - 0.18. Let k = 3.02 - w. What is the second smallest value in k, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18718 and 188899.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1028.205379 + 949.2053831. Let z = 79 + -158. Let h = f - z. What is h rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 + 2*u - 3. Suppose 2*m = -4*m + 18. Let n be q(m). Solve 3*k = -n*t - 9, 2*t + 12 = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k**3 + k**3 + k**3 + 0*k**3 - 2*k**3 + (k**2 + 2*k**2 - 4*k**2)*(-2*k + 2*k + 2*k) - 6*k**3 - 18 - 12*k + 5*k**3 + 17.\nAnswer: -3*k**3 - 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 + 3495*g - 3490 = 0 for g.\nAnswer: 1, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5356451, 5356442, 5356427, 5356406, 5356379, 5356346?\nAnswer: 5356307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -23*z**4\/2 + z**3\/3 - z**2\/2 + z - 9. Let d be w(1). Calculate the common denominator of 93\/104 and ((-2)\/4)\/(d\/825).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -5 + 1 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 42, 48, 56, 66, 78?\n\"Answer: b**2 + b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/2, -4, 1\/3, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/12 + 26)*(-1 - (-24)\/20)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.45048.\nAnswer: 0.45048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84868 is divided by 705?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*r + r = 26945, -3*s + 40412 = 2*r. List the prime factors of s.\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.1548kg to nanograms.\nAnswer: 95154800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15095, 15122, 15149?\nAnswer: 15176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q - 8 = 0. Let w(h) = -h**2 - 4*h. Let g be w(q). Suppose 2*r + 4*j = -j + 16, -3*r - 5*j + 19 = g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -34*f**2 + 22*f**5 - 36*f**3 - 8*f**4 - 5 - 26*f**3 + 40*f + 13 + 34*f**4 = 0?\nAnswer: -2, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c0b2 (base 13) to base 16.\nAnswer: 8af50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.157.\nAnswer: -0.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3904 - 4*k - k**2 + 1956 + 1948. Suppose 3 = -8*d - 21. Determine s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 1535546?\nAnswer: 1535536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21159.37300123 + -21159.173. Let y = n + -0.2. Round y to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*x - 333, -2*x - 503 + 146 = -5*a. Is 79 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53242, -426413, -1439304, -3411775, -6663686, -11514897, -18285268, -27294659?\nAnswer: -38862930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjpjjpjjjjjjjjjpp. What is prob of picking 2 p and 1 j?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -865 - -867. Let u(y) = -f - 14*y - 2*y + y**3 + 10*y - 5*y**2 - y + y. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.846256 kilograms in tonnes?\nAnswer: 0.005846256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26273322 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318\/9 - (-2)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 685*b - 2020. Determine k(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127971, 127959, 127947, 127935, 127923?\nAnswer: 127911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 865*r + 42667. Calculate u(-49).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*o**2 + 1779*g**2*q - 2*g*o**2*q - 2*g*o*q + 6*g*o + 2*o**2*q + 15*o**2 wrt g?\nAnswer: -4*o**2 + 3558*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 5*v**2 - 2*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25 - 8*j + 5*j + 4*j - 25. Let r(w) = -815*w**2. Give r(t(d)).\nAnswer: -815*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8849 - -2096. Suppose 3*y = 2*l - y + 5470, 4*l - 3*y + m = 0. Let q = l + 4014. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770739269?\nAnswer: 23, 367, 91309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -91, 50, 4, 6, -45 in decreasing order.\nAnswer: 50, 6, 4, -1, -4, -45, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let m = 0 - r. Let c(d) = d**3 + 4*d**2 + 3*d + 1. Let n be c(m). What is the highest common factor of 21 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 16 + 134. Let t = w + 30. Suppose 5*y - 9*y + 148 = t. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(9\/4)*x*x**(-3\/2))**(5\/8))**(11\/4) assuming x is positive.\nAnswer: x**(-385\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 27*v**2 - 5*v - 118. Let u be l(-27). Suppose -3*p - 3*f = -63, -5*p = -4*p + 2*f - u. Solve -3*c + 15 = 4*y - 0*c, -4*y - 5*c + p = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let g(m) = -4*m**2 + 4*m - 4. Let i = 11 - 15. Let q(u) = -4*u**2 + 3*u - 3. Let a(p) = i*q(p) + 3*g(p). Calculate t(a(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**38\/(g*g**(1\/4)*g*g)**(1\/14) assuming g is positive.\nAnswer: g**(4139\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 4*s**4 + 3*s**2 + 259*s - 264*s - 2 in the form n*s**2 + f*s + c*s**4 + p + t*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -0.094, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + (-2 - -4) - (150 + -96)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -23 - 27 - 5 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.05, -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3322 or -359?\nAnswer: 3322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891.586 millilitres in litres?\nAnswer: 5.891586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 362046 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3736395?\nAnswer: 3, 5, 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -13, 10, 53, 122?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192916 (base 16) in base 4?\nAnswer: 12102210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 956070, 956052, 956034, 956016, 955998?\nAnswer: 955980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820755, -1641522, -2462289, -3283056?\nAnswer: -4103823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -710 + 715 - (-2 + 0 + -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 14549?\nAnswer: -5819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 2*f, -3*f + 1 = j - 5. Let i(v) = -2*v**f - v**2 - v**3 - 8 - 3*v**2 + v. Is i(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 less than 361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.2 + 9. What is the nearest to 0.1 in 4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 839 + -839. Suppose -3*r - r = 2*m - 3636, c = -3*m + 4*r + 5474. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16248 - -13?\nAnswer: 16261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - 16 - -195*331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3\/2, -2\/117 in ascending order.\nAnswer: -4, -3\/2, -2\/117, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkddndmdddmukakdn. Give prob of picking 1 n and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghbqgbhq. What is prob of sequence bbg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 113 = 712. Suppose 0 = 5*w - z + 50. Suppose 5*g + 7 = -2*u, w = 2*u + 2*g - g. Solve 9*i - u*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129a (base 14) in base 15?\nAnswer: e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35+95707\nAnswer: 95742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51852 divided by -6?\nAnswer: 8642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 + -76. Suppose 163*m = 164*m - 175. Calculate the highest common factor of m and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.97 + 113.6. Let b = 10.3 + m. What is the third biggest value in -14, 0.2, b?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*j - 4, 2*j + 44 = 3*m + 36 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) + (-2)\/3. Suppose q = -2*s + 37 + 369. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/48 and -157\/202776.\nAnswer: 405552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.5 - -21.5. Let k = p - 27. Which is the nearest to 0.1? (a) 3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089671.\nAnswer: 11, 23, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 33 + 47. What is the common denominator of (2834\/(-325))\/(h\/(-10)) and 113\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - m**3 + 4 + 3*m + 3*m**2 - 4*m. Suppose 3*x = 7*x - 8. Suppose 4*g = -2*w + 4, -7*g + 5*w = -x*g - 35. Calculate h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-20 - (-10 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/21)\/j**19*j**(4\/9)\/(j*j*j**(2\/15)*j*j*j) assuming j is positive.\nAnswer: j**(-7402\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37396\/9 + 4156. Solve -b + 8\/9*c - 2\/9*c**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16*d - 80 = -4, -17 = z + 3*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 24347 = 2*j + 24351, 5*j = -t - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24350 divided by 10\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = -98. Let t(s) = s**2 - 4. Let h be t(-3). Suppose g - 9 = h*o. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 33*t + 30. Let u be d(-16). What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57378*r**2 - 43*r + 104 wrt r.\nAnswer: 114756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0 + 5\/6*x**3 + 0*x**2 + 8*x. Let m(r) = -2*r. Let a(q) = -14*m(q) - 6*y(q). Let c(v) = -5*v. Give c(a(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 7*q**2 - 6*q + 5. Let p(d) = 4*d**3 - 2*d - 5*d + 49 - 43 + 8*d**2. Suppose 5*g - 12 = 13. Calculate g*p(k) - 6*t(k).\nAnswer: 2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*h**2*r**3 + 2*h**2*r + 9*h**2 + 39*h - 42*r**3 - 2523*r**2 wrt h.\nAnswer: -26*h*r**3 + 4*h*r + 18*h + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - o - 9 = 0, -f + 4*o + 21 = -0*o. Suppose -10*b = 1 - f. Let p be -1 - 1\/2*-2. Solve -s + p*s + 3 = b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o + 70*o = 0, o = -k - 1587. Let v = -934 - k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 25. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s**(1\/3)*s)\/s*s)**27)**(-7)*(s\/(s*s*s**4*s*s)*(s**(-1\/2)\/s)\/s)\/(s**(-1\/3))**(-6) assuming s is positive.\nAnswer: s**(-1283\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.777 * -0.0305.\nAnswer: 0.0236985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, a: 2, b: 6, w: 5}. What is prob of sequence ta?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.3. Let z = w + 4. Let p = -1 + 0. Which is the closest to p? (a) 0.2 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/297 and 49\/810.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2088, -2086, -2084?\n\"Answer: 2*r - 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3435700 by -2.\nAnswer: 1717850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, w: 8, i: 4, o: 1}. What is prob of sequence io?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w, -z + 1499 = 4*w - 537. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-72)\/(-80)*2150\/(-225).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Let r be d(1). Let x(h) = h**3 + 4*h**2 - 2. Let v be x(r). Suppose v*i - 240 = 2*i. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -353 + 362. What is the common denominator of 46\/(-24)*((-1192)\/(-136) - w) and (-1 + 62)*1\/(-3)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 110 + 59 + 53)*(-4 + 4 + 2).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011110 (base 2) in base 12?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 37. What are the prime factors of l(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -20. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/45500 and 59\/37800?\nAnswer: 2457000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let i be t(-6). Suppose -13 = 2*c - 33. Sort i, -3, c.\nAnswer: i, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 17185*a + 392610 = 0 for a.\nAnswer: 23, 3414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1539) - sqrt(1539)*-3)*5)**2.\nAnswer: 22161600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.019 (b) -3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + 10*y + 10*y)*(y**4 + 3*y - 3*y).\nAnswer: 29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcxvevubvevcb. What is prob of sequence ubee?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799*j + 1599*j + 40 - 800*j - 11*j**2.\nAnswer: -11*j**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12728957 is divided by 542.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)\/(o**(-2\/5)\/o)*(o\/(o\/((o\/o**1)\/o)))\/o*o\/((o**(3\/4)*o)\/o) assuming o is positive.\nAnswer: o**(-23\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 40*y + 525. Calculate z(-12).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = -1474. Let j = r + 507. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -478 + 474 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*8634993\nAnswer: -8634993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/10)\/(-6 - 31\/(-5)). Let m(s) = 2*s - l*s + 10*s + 2*s. Let x(n) be the third derivative of -n**5\/20 + 2*n**2. Give m(x(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:37 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -184*x**5\/5 - 12*x**3 + 3*x + 1378. What is the third derivative of f(a) wrt a?\nAnswer: -4416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 51 - (28 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htheje. Give prob of sequence th.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 21. Suppose i*k - 12*k = 655. Which is bigger: k or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2348 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267206082 + 4?\nAnswer: -1267206078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 24*u**2 - 3*u - 25*u**2 in the form t*u**2 + m + z*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - 2))\/(((-6210)\/(-2025))\/(-46))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n - 3. Let s be c(3). Suppose 4*d - 12 - 4 = 0. Calculate the greatest common divisor of s and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymegmmggmg. Give prob of picking 1 g and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 4) in base 16?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-119 - 346 - 7)*((2*s + 1 - 1)*(6 - 3 + 0) + 0*s - 5*s + 3*s) to l*s + o and give l.\nAnswer: -1888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014001205 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214764 is divided by 58.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/504789 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) + 1*sqrt(228) + sqrt(228))*3 - sqrt(228) - sqrt(228))\/(sqrt(48)\/(sqrt(16)\/sqrt(4))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1897 or 1895?\nAnswer: 1897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 163380.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6686\/23 + 290. Let n = -222\/253 - t. Sort -1, n, 4\/5 in descending order.\nAnswer: 4\/5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*b - 0*k - 19, 0 = -5*b - 5*k + 5. Suppose -q + 15 = b*q. Solve 2*c = -q*s + 7 + 5, 2*c - 3*s = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141 and -0.00596.\nAnswer: -0.84036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1142320 by -545.\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -573\/280 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69502 or 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170304834 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 14*d - 14 = 0. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:54 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*r = 2*r + 97, -2*a - r + 53 = 0. Let z = 29 - a. Solve -3*i - 1 - 2 = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250937*i**5 - 2*i**2 - 187728.\nAnswer: -15056220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*2*sqrt(3))**2.\nAnswer: 20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 213?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 2. Let n(w) be the third derivative of w**6\/120 + w**5\/15 + w**4\/6 + w**3\/3 - 3*w**2. What is the units digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 59 = 63. Let h(i) = -i**2 - 2*i - 2. Determine h(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7255*x**2 + 7223*x**2 - 118584*x**3 + 118583*x**3.\nAnswer: -x**3 - 32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -2, -19, -10, 1 in decreasing order.\nAnswer: 1.4, 1, -2, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 20. Calculate the remainder when m is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (15 - (95 - 24))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/n)\/n**(2\/11)*n\/(n*n**(-2\/11))*n*n\/n**6 assuming n is positive.\nAnswer: n**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69916861, 69916862, 69916863, 69916864?\nAnswer: 69916865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 75, 117, 163, 213, 267, 325?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 9)*8\/(-6) - 0. Let k be r + 1 + 0 + 2 + -2. Which is the second biggest value? (a) -3\/7 (b) -3\/4 (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3 + 81*v**2 + 264*v + 180 = 0.\nAnswer: -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2 + 30*v + 17. Give r(8).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**4 + 3*a**2 - 6001*a + 4743203 wrt a?\nAnswer: 20*a**3 + 6*a - 6001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:26 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0, 7\/122016?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1050, -1045, -1030, -999, -946, -865, -750, -595?\n\"Answer: w**3 - w**2 + w - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -150 + 150 - 70*m in the form s + a*m and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 78 = -2*i, -7*i = 4*c - 2*i - 57. Let a = 21 - c. Let r(b) = -a*b**2 - 21 + 9 + 12. Let f(w) = -7*w. Determine f(r(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 3*b + 7. Let v(r) = -10*r + 1. Let o be v(1). Let y = o - -16. What is the remainder when 104 is divided by n(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 = 2*i + 6, -2*i - 4 = -4*x. Let u(q) = 9*q**2 + 3*q - 1. Calculate the remainder when u(i) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5081946364*p**3 - 7 + 5081946357*p**3 + 7.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 0)\/((-28)\/8 + 3). Suppose -5*f - 141 = -q*f. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w. Let n(s) = 11*s**2 - 7906*s + 1. Calculate r(n(c)).\nAnswer: -154*c**2 + 110684*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98316131803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - p - 22 - 25, -3*t + 71 = 2*p. What is the smallest common multiple of t and (-21 - 0)\/(0 + -1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t - 28. Let c be g(-3). Solve -c*p + 3 = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3318733 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 7. Find the common denominator of 32\/3 and y\/4*(-872)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:33 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39015 divided by 2295.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-14)*((t**(-1\/9)\/t)\/t)\/(t\/(t*t**(-1\/2)*t)))**(1\/16) assuming t is positive.\nAnswer: t**(-649\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/16, -1, -113, -5, -2 in decreasing order.\nAnswer: -3\/16, -1, -2, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, c: 2, b: 1}. Give prob of sequence cbw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 = -4*j, -5*y - 7 = 2*j - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose 2*u + 3*k - 64 = 0, -4*u - k + p*k = -118. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/252 + (-34)\/(-70)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**2 - 58*c - 27. Let g be r(5). Calculate the greatest common divisor of g and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.206 - -1.326. Which is the third biggest value? (a) 1 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300 a factor of 2485154051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o = -48*o + 3*p + 1527, -5*o - 2*p + 1507 = 0. List the prime factors of o.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1514 - 1477.76. Let i = 37 - j. Let g = 0.14 + i. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/75)\/(2698\/6745)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672*z - 336*z - 340*z - 1 + 1.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 1962744132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2422131, -4844265, -7266399, -9688533, -12110667?\nAnswer: -14532801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/8 - 403*p**4\/8 + 2945*p**3\/2 - 11602*p**2 + 26040*p = 0.\nAnswer: 0, 4, 7, 20, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453830.699 take away -152.8?\nAnswer: -1453677.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-4)\/(-2). Suppose -769 = -v*h + 4*f, -4*h + 3*f + 707 = -323. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122 to seven decimal places.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6034\/5 + 1207. What is the closest to 2\/5 in 0, q, 5, -0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 65*i + 42. Let u be y(33). Sort -2\/19, 4, u in descending order.\nAnswer: u, 4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fozoaaooaa. What is prob of sequence azof?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w - 74. Let d be x(-8). Solve 7*r - 3*r - d = -2*m, r = 3*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8)\/(71\/142).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -143420010 (base 6) in base 4?\nAnswer: -23111311212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:16 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8. Suppose -d - 37 = -2. Let j be 31 + d - (87 - 1). Let n = 83 + j. Let o(x) = -x**3 + 7. What is n*o(s) - 6*b(s)?\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 0.2. Let p = r - 1.43. Let b = p - -1.400084. Round b to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 7*x + 3*x. What is the remainder when 304 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -324 in descending order.\nAnswer: -0.1, -0.5, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8*u + 9*u = -1315, 4*t = 2*u + 5248. What is the highest common divisor of t and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486616225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -511\/34407 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -152001503 and 5?\nAnswer: -760007515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 246*a**2 + 50*a + 52. Calculate the remainder when z(-1) is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from pllplkllllkklllllpyk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 10*l - 1. Let k(d) = -8*d**2 + 29*d + 2. Let w(q) = 11*a(q) + 4*k(q). Let s be w(-4). Does 9 divide 110\/s*(-1 + (0 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310250 is divided by 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 0 - 1)*(-9237*i + 9237*i + 3*i**2 + 17*i**3) to the form j*i**2 + r + p*i**3 + b*i and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**3 + 4*l - 4*l + 38*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 5. Let u(j) = j - 6. Let i(c) = 6*m(c) + 5*u(c). Let d(r) = -8*r**2 - 2. Determine d(i(f)).\nAnswer: -8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - 0*1\/(-3). Let g(t) = t**3 + 9*t**2 + 4*t + 4. Let j be g(a). Suppose -4*u + j = -0*u. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**3*x - j**3 - 2*j**2*x + j**2 + 403*j*x + 1 wrt j?\nAnswer: 36*j*x - 6*j - 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -5 - (292 + -196 - (-3 + 4 + 4)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109330145 by -17.\nAnswer: -6431185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 6*j + 2*j)*(12*j**4 - 23*j**4 + 4*j**4 + 3*j**2).\nAnswer: 7*j**5 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**3 - 127*h*r**2 + 19*r**2 - 3*r wrt h?\nAnswer: 15*h**2 - 127*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25559156 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-80)*5\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10972 is divided by 1810?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (-5 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 2*f**2 - f**3 - 72 + 2*f + 127 to h*f**2 + u*f**3 + k*f + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. What are the prime factors of 516\/7 + n\/21?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b. Let v(f) = -4*f + 251. Calculate v(l(g)).\nAnswer: -32*g + 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -49. Let y = l + -6. Which is the biggest value? (a) 4 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/472068 and -17\/43710.\nAnswer: 2360340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 k, and 1 w when four letters picked without replacement from {v: 1, w: 1, k: 2, u: 2, c: 1, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7642196368 - -4860?\nAnswer: -7642191508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.0473.\nAnswer: -0.3311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -61185295.\nAnswer: -1\/61185295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1900) + sqrt(1900) + sqrt(57)\/sqrt(3) + -3 + 4*1*sqrt(475) + sqrt(475).\nAnswer: -3 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-5)\/((-15)\/(-9)). Let b = 3 + -1. Which is bigger: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**5\/5 - w**4\/4 + w**3\/3 + w**2\/2 - 11. Solve j(y) = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Let i(c) be the third derivative of -c**6\/180 - c**5\/24 + c**4\/6 - 5*c**3\/6 - c**2. Let h(b) be the first derivative of i(b). Give h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g - 4. Let p be w(-2). Let n be p\/16 + 14\/(-16). Let l(v) = -v + 8. Let o be l(6). Is n <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 4) to base 14\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*v**5 - 13*v - 4 wrt v.\nAnswer: 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14000007 + 0.14. Round f to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 3470787069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/56 + (-240)\/(-14). Let b(q) = q**2 + q**2 + h - 5*q - 18. Let n(w) = w**2 - 4*w - 1. Give 4*b(j) - 5*n(j).\nAnswer: 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.2. Let f = -21.2 - m. Let y = f - -20.99981. What is y rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.075058 months to centuries.\nAnswer: 0.001729215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35872.1 - 35872.09049548. Let s = k - 0.0095. Round s to 7 decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3958 times -3.89\nAnswer: -15396.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 11*n = t + 3829, 5*n - 5*t - 3845 = 0. Let b = 771 - n. Solve -4*z - b = -6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*d + 683*d = -99 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314136.4l to millilitres.\nAnswer: 314136400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -35 + -21 - -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Solve -3*u - 5 = -h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 21*y**2 - 8*y - 31. Let t be c(11). Suppose j - 2*j + 40 = -5*k, 0 = -5*j + k + 104. Suppose j*v - 18*v = 10. Solve 1 = t*a - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100, 215, 330, 445, 560?\n\"Answer: 115*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:29 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65790 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9. Let v(n) = 5*n. Let w(r) be the second derivative of -r**3\/6 + 6*r. Let s(b) = -v(b) - 4*w(b). What is s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.34280897 to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 0. Let x(y) be the second derivative of 2*y**3\/3 + 3*y**2\/2 + 3*y. What is x(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*m*s + 53*k*m + 13*k*s*x + 3*k*x + m*s - 2*m*x - 4*s*x wrt s?\nAnswer: 2*k*m + 13*k*x + m - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 94530 = -5*o, 15 = 38*o - 33*o. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 7*w + 5. Let i = -42 + 13. Let l = i + 25. Sort w, l, 4 in increasing order.\nAnswer: l, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -102\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*i + 1169508 + 46096. What are the prime factors of i?\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -59. Solve x*g = 2*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81970 + 81970 - 1604*n + n**2 to the form j*n + x*n**2 + u and give j.\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 - 1709 = 57*p. Sort 5, 3, p in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*a**3 + 277*a**2 - 443151*a?\nAnswer: 1074*a + 554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 31*q + 30*q = 8*s, 0 = -4*s - 2*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 66, -4, 2, -81, 0.3?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7654952*r**3*v**2 - r**3*v - 2*r**2*v**2 + 34945713*r*v wrt r.\nAnswer: 45929712*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 28*w + 32. What is d(-5)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -236*s + 240*s - 12. Suppose s*o - 237 = -3*f, o + 221 = -0*f + 3*f. Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195030 and 1485.\nAnswer: 585090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 - l**2 - 2*l**3)*(-11*l - 3295*l + 472*l - 2952*l) in the form q*l + w + i*l**4 + x*l**2 + u*l**3 and give i.\nAnswer: 11572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a87 (base 12) in base 11?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**3\/3 - 213*b**2 + 428*b - 852. Suppose w(q) = 0. Calculate q.\nAnswer: -214, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2, 330\/13, 1\/3, -25, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-5*sqrt(2299) - sqrt(2299)) + -4 - sqrt(2299)))**2 - (5*(-2*(sqrt(1900)*4 + sqrt(1900)) + sqrt(1900)))**2.\nAnswer: -3734813 + 924*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172\/23 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 10) + 4\/2. Let q(o) = 14*o + 9. Let r be q(m). Let g = r - -41. Let s(d) = d**3 - 7*d**2 - 10*d + 9. Calculate s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 80\/3*h**3 - 98 + 0*h**2 + 0*h - 51\/4*h**4. What is the third derivative of a(p) wrt p?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/19 (c) -0.09 (d) -1294 (e) 1\/7 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194238428*d - 7546759.\nAnswer: -194238428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2760576, -5521152, -8281728?\n\"Answer: -2760576*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5 + 20*x + 18 + 3*x**2 - 2*x**2. Suppose 91 = 16*p + 395. Let u be s(p). Solve 5*r = 0, 0 = u*b - 3*b + 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z + 1. Let w be q(6). Let v(h) = -w*h - 12*h + 5*h. Let n(b) = 2*b**2. Determine v(n(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9861 is divided by 2081.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1114, 3, -8000 in decreasing order.\nAnswer: 3, -1114, -8000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*q = -5*g + 3185 - 3238, 5*g + 59 = 2*g + 5*q for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 20235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and ((-1540)\/126 - -12) + (-812)\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2951, 5256, 7563, 9878, 12207, 14556, 16931, 19338?\nAnswer: 21783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*g**2 - 83*g**2 - 16*g**2 + 9*g**2.\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(4\/19)*d**(-8\/3))**(-26))**(-2\/3))**(-29) assuming d is positive.\nAnswer: d**(211120\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**2 - m + 1. Let b(f) = -f**2 - 1. Give -b(g) + t(g).\nAnswer: -7*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 180.35. Let f = -0.65 - r. Which is the closest to -2\/3? (a) f (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -224*g - 29583. Calculate l(-132).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*sqrt(1575))**2 + sqrt(63) + 3 + 5)*3.\nAnswer: 9*sqrt(7) + 75612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517349920.\nAnswer: 2, 5, 3233437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 2. Let u be 6*-3*(-3)\/18. Suppose 0*z - u = z. Let d(a) = -a**2 - 3*a - 3. Let w(l) = z*o(l) - 2*d(l). Let n(k) = -2*k. What is w(n(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/174)\/(22\/264)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3126064, -2, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3\/2 + 141*x**2\/2 - 261*x\/2 - 405\/2 = 0?\nAnswer: -1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7745*f**3*q**3 + 98*f**3*q**2 + f**3 + 4*f*q**2 + 3*f*q wrt q.\nAnswer: -46470*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 2*r**2 - 3*r**2 + 5*r**2.\nAnswer: 4*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = -68. Calculate the remainder when (-222)\/(-4) - (-3)\/(-6) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375263 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 7, y: 6}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32012860 and 6.\nAnswer: 96038580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, g: 2, t: 3, e: 3, z: 1, x: 1}. Give prob of picking 1 t and 2 e.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7226828*-0.9.\nAnswer: 6504145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4970312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**3 - 2*x**2 + 1760*x + 12. Let y(g) = -16*g**3 + 9*g**2 - 7039*g - 54. Calculate -9*j(m) - 2*y(m).\nAnswer: -4*m**3 - 1762*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -27.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1578992.05*0.2\nAnswer: -315798.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 3251894.\nAnswer: -3251897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t + 58*t + 50*t - 185*t + 55*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 + -305 - (-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -176813, -99, -3 in ascending order.\nAnswer: -176813, -99, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*m**3*w**2 - 12751*m**3*w - m**3 + m**2*w + m**2 - 390*m*w**2 wrt w.\nAnswer: -234*m**3 - 780*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1774*k + 1746*k = -196. Let u(q) = -5*q**2 - 4*q - 1. Let o(s) = -9*s**2 - 7*s - 1. Calculate k*u(f) - 4*o(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -6346?\nAnswer: 6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k, 2*d - k - 96 = -4*k. Put d, 4, -1 in decreasing order.\nAnswer: d, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + d**3 - d**3 + 3*d**3 - 2*d**3 - 2*d**3 + (-11 - 3*d**2 + 11)*(6*d - 7*d - 9*d) to the form t*d**2 + i*d + m*d**3 + z and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4213274084.\nAnswer: 2, 17, 61959913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7257401.4 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/3)\/(1\/(-9)). Suppose 0 = -2*u + 4*i + n, -4*u + 5*u = -4*i + 45. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvcvccvvcckvvxeecv. What is prob of picking 1 v, 1 x, 1 c, and 1 e?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1555*z**4\/12 - 2965*z**3\/6 + 2299*z. What is the second derivative of c(n) wrt n?\nAnswer: 3110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*t + 6 = 0, 0 = 3*n + 3*t - 0*t + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 74338685 = -2*w + 33261331, -8 = 2*z. What is w rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19*a - 589. Let i be h(31). Let y(q) be the third derivative of 1\/480*q**6 - 1\/96*q**4 + 0*q**3 + i - 2*q**2 + 0*q + 0*q**5. Factor y(m).\nAnswer: m*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 - 402. Let g = -0.1 - -0.3. Which is the nearest to -2\/23? (a) 0.4 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:31 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -3 - 9\/(-5 + 8). Suppose -4*h + 1 + 12 = -v, q = -v + 2*h - 7. Let f = 3\/44 - 71\/396. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*g - 4*f, f + 22 = 4*g - f. Is -6*(-26 - (-5 + g)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9446 - -6666. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o - 47 - 15*o - 2*o to the form l + j*o and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3065, 25, 1, 0.\nAnswer: 0, 1, 25, 3065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 17. Solve 13 = 4*l + 3*y, 6*l - 4*l = y + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 0?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166772858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 816\/11. Let v = 10.05 - 0.05. Let j = 11 - v. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(58\/14)\/((-21)\/(-147)). Calculate the greatest common divisor of y and 348.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppip. Give prob of picking 1 i and 3 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2746 (base 9) in base 2?\nAnswer: -100000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:42 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -1\/5*x**2 - 16\/5 + 17\/5*x = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/5 - 62*o**2\/5 + 224*o\/5 + 128\/5 = 0?\nAnswer: -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4567 + 6619. Solve -j*d + 35 = -2047*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22662*l**2 - 959*l**2 - 443*l**2.\nAnswer: -24064*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/117 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) -8\/9 (b) -4 (c) 0 (d) -8 (e) -0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(1008)*-1) + -4*(sqrt(7) - (3 + sqrt(7))) + sqrt(7) + 0 + 2 + ((sqrt(448) - (sqrt(448) + 2)) + sqrt(448) - sqrt(448)))**2.\nAnswer: 336*sqrt(7) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15135.9 and 0.3?\nAnswer: -4540.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((175\/700)\/((-1)\/(2\/(-8))))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -32. Let j = 318.2 + -322.2. Let z = -4.6 + 5. Which is the third biggest value? (a) j (b) s (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 49*c + 16. Let y(r) = -50*r - 17. Let k(a) = -7*u(a) - 6*y(a). Is 19 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -607*n**4 + 1160 wrt n?\nAnswer: -2428*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.16 + 13.1. Let g = -1.68 - 0.22. Let y = g + 2. Which is the third biggest value? (a) j (b) y (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/4 + -10)\/(1\/(-19841)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - -12) - -3 - -2 - 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 2)*(-4 - 3 + 2)*(2 + y + 0*y - 3*y) to the form o + a*y and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12626 + 517671\/41. Put 3, -7, a, -2\/3 in decreasing order.\nAnswer: 3, a, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f*s**3*u**4 - f*s**3*u - f*s**2*u - 57*f*u**2 + 7*s**3*u + 19 wrt u?\nAnswer: -132*f*s**3*u**2 - 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 874978.596 to the nearest 10.\nAnswer: 874980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, -2, -4, 0.115, -0.3, 3 in ascending order.\nAnswer: -4, -2, -0.3, -0.23, 0.115, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. Let z = 1.262 + 1.438. Are z and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307294*i + 307198*i - 1187 = -160 + 1373 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 960*j + 119034. What is x(-124)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1)\/22 - 141\/(-11). Solve -2*r - 5*q + a = 4, 0 = -4*r - 4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 24628 by -47.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -27. Let j = 14 - n. Let p = -1.847 - 4.153. Which is the third smallest value? (a) j (b) p (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2260 - -7963. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -640, -328, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18761 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 3195 = 15*t. What is t rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(3*j**2 - 2*j**2 - 3*j**2) + 1610*j**2 - 3035*j**2 - 2412*j**2.\nAnswer: -3839*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, f: 5}. What is prob of picking 1 c and 2 f?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-2\/21)*r))*r)\/r**(1\/5) assuming r is positive.\nAnswer: r**(179\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1059212, -1059067, -1058922, -1058777, -1058632?\n\"Answer: 145*w - 1059357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-77)*(-3)\/10*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35*i + 17110 = -39320. Calculate the greatest common divisor of 99 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, -0.188, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/7)\/(57\/(-1197)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 53*l**4\/4 + 2*l**3\/3 - l**2\/2 - 2*l + 5385. Give h(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*s - 737 - 21 = -541*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-78)\/(-48))\/((-2)\/(-24)) and ((-13)\/(-12))\/(-1)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/11 + 1700*n**4\/11 - 317336*n**3\/11 - 19046140*n**2\/11 - 69342662*n\/11 + 8064040 = 0.\nAnswer: -44, -5, 1, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1122 and 3630?\nAnswer: 61710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*h*y**3*z + 2*d*h*y*z - 5*d*h - 2*h*z - 19*h + 2*y**3*z with respect to d.\nAnswer: 2*h*y**3*z + 2*h*y*z - 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -26*s. Let b(a) = 1587*a. Let u(v) = 3*b(v) + 184*c(v). Let x(l) be the first derivative of -2*l**2 - 1192. Determine x(u(z)).\nAnswer: 92*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671 - 663. Let m(i) = 3*i - 2. Let n(v) = 10*v - 5. Give r*m(t) - 3*n(t).\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*x - 168*x - 80. What is the least common multiple of 8 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4141 - 3?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 - 1622 - 392 = 123*h + 41 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 40*p + 8 + 27*p - 10*p. Is 22 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 44*x**2 - 198*x - 32. Give h(-11).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817810 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 565 - 365. Let d = -25 + 29. Suppose 50 = -2*c + d*c. Calculate the highest common factor of j and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 624 and 0.6394775903.\nAnswer: 624.6394775903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.19 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228266076.5 - 3.\nAnswer: 228266073.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.96 + -0.04. Let w = -6.55 + -0.45. Let h = w + 9. What is the closest to h in v, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22466759 = -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -410.69 and 61875.\nAnswer: 61464.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771554 is divided by 6075.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1439, -323\/5, 2, -0.4, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23094*h**3 + 23094*h**3 - 176*h**4 + (3 - h**2 - 3)*(h**2 + 0*h**2 - 2*h**2) to m*h + n*h**4 + s*h**3 + i*h**2 + f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 18. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v + 30*v + 24*v + 46 - 150*v + 39*v.\nAnswer: -26*v + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18863 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = -3*c, 9*l + 3*c + 7 = 4*l. Is l greater than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158130000 rounded to the nearest one million?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678094?\nAnswer: 2, 31, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9280 and 65250?\nAnswer: 2088000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 2. Let q be (3\/3)\/(-3)*(2 + -50). Let b(o) = 2*o - 35. Let f be b(q). What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -30. Suppose 55 + 83 = 2*s. Suppose 0 = h*v - 21 - s. What is the highest common factor of 144 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34454.7983 - 89?\nAnswer: -34543.7983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 284192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1568*z - 1482*z + 3 - 3 = 0. Suppose 0 = -5*t + 134 - 19. Solve z = -2*v + t - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b - 2*w + 20, -3*b + 8 = 2*w. Suppose -d = -2*h + 1, 4*d + b*h = h - 43. Let z be -1 + 4\/6 - d\/3. Solve -z*m - 5 = -k, 7 = -m - 4*k + 3*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*o + 31, -4*o + h + 1 + 7 = 0. Is 3 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -117*b**2 - 1190*b + 37. Calculate l(-10).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 471\/5546 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2 + d*k + 353415*d - 21620978*k wrt d?\nAnswer: 4*d + k + 353415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 10.3. Let g = u - 2.4. Let w be (6 + -5)*(-4)\/(-10). What is the fourth smallest value in g, w, 3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154770.374 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, -20.9, 70?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.94 and 1510186949496.\nAnswer: 1510186949495.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2145, -4374, -6617, -8880, -11169, -13490?\nAnswer: -15849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813.1ml in litres?\nAnswer: 8.8131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4860 - 134419*l - 4860.\nAnswer: -134419*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236510 - 12135.2.\nAnswer: -248645.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3827)\/(-8) + (-165)\/440 is divided by 94?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -2\/11 (c) 0.5 (d) -2 (e) 0 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36144757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 81, 138, 217?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.15 + 0.15. Let s = 100.3 - 53. Let x = s + -47. What is the smallest value in 3, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 5. Let m(i) = -1. Let d(k) = -2*m(k) - q(k). Let g be d(4). Suppose 0 = 8*w - g*w - 25. Solve 0 = w*r - 3*v - 23, -2*v - 6 = -2*r - 4*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27823 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72009356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = 4*m, -2*m + m - 5 = -5*o. Let k be 12\/5 - 2\/5. Suppose k*h + 5*x = -14, 2*h - x + 4 = -h. Sort h, o, 0.\nAnswer: h, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*u - 174 = 0, 2*m + 0*m = -u + 69. Let w = 4 - -4. Suppose m = w*g + g. Solve 3*k + 1 + 2 = -g*b, b - 3*k + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - ((-15 + 38 + 19 - 2) + -23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**6\/30 + 15*j**2\/2 + j. Let f(n) be the first derivative of u(n). Factor f(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178533136013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64\/3 of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393560992?\nAnswer: 2, 106048781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005053 (base 15) in base 2?\nAnswer: -101011100001000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a - 67*a + 260 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 60*a**2. Let c(t) = 5*t**2. Give 40*c(v) - 5*k(v).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((5 + 1 + sqrt(448))**2 - sqrt(448)).\nAnswer: -965 - 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfyrrryffyf. What is prob of picking 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5*a + 1. Let j be f(-5). Let k be ((-10*j)\/1)\/(-2). Solve 0 - 10 = k*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuujuyuuu. Give prob of picking 1 j and 1 u.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Evaluate 4 + (-154)\/(-28) + -9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 7 - 0) + (21 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -482ef79a + -4?\nAnswer: -482ef79e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 4*y - 5*y**2 + 5*y**2 + 415*y**3 - 433*y**3.\nAnswer: -18*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157b87 + -a6?\nAnswer: 157ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1084*c + 94. Let l be b(4). Does 63 divide l\/5 - (4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36311562 and 77406?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39495\/9931 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -954\/11, -0.02, 29786 in decreasing order.\nAnswer: 29786, -0.02, -954\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-104))\/(575\/276)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -0.11 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5673 in -4, 0.2, 4\/5, 6, -3, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -85, -2, 2, 5, -5.\nAnswer: -85, -5, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193205714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 39 = 21. Suppose 5*i - y = i. Suppose 2*r = r + 2, 3*r - 48 = -3*q. What is the remainder when q is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Suppose -g = -2*l + 7, -h*l - 3*g = -l - 24. Suppose -r + 4*a = -17, -l*a = -4*r + 14 + 32. Solve r*i - 4*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 3*w - 1 - 2*w. Let p(b) = -2*b + 19. Let i be p(9). Let k(q) = -q + 4. Calculate i*k(s) + 2*x(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34925324*n**2 - 39435214.\nAnswer: -69850648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -207a7 (base 13) in base 16?\nAnswer: -e44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10616*o + 22772*o + 5882 - 5882.\nAnswer: 33388*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 2*i**2 + i + 2. Let b(t) = 3*t - 1. Let s be b(1). Suppose -4*d + 2*k - 6 = 0, -s*k - k = -4*d - 5. Is v(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -4 - 7) + 1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from {g: 1, f: 2, c: 3, e: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let i(k) = 3*k**2 - 18*k - 19. Let a(r) = -r**2 + 6*r + 6. Let v(h) = -11*a(h) - 4*i(h). Let f be v(7). Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 1023, 2233, 3915, 6063, 8671?\nAnswer: 11733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -986247 divided by 8\nAnswer: -986247\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.3 - -41. Which is the fourth smallest value? (a) v (b) 0.2 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 971375100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 124. Suppose 3*y + 2*y = 15. What is the second derivative of 3*l**3 - 6*l + 2*l**y - s*l**3 - 6*l**3 wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/110 and 7\/24453?\nAnswer: 244530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, 0.066, 16 in descending order.\nAnswer: 16, 4, 3\/2, 0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3852 + 3840 = 12*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 418*w + 1246. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 993251972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75, 73, 71, 69?\n\"Answer: -2*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 16 - 2. Let a = 7 + -5. Suppose 2*s - 4*g = 50, a*g - 2 + 50 = 2*s. Calculate the remainder when s is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/9 + 2722*o**3\/9 + 758*o**2 + 5462*o\/9 + 1366\/9 = 0.\nAnswer: -1, -1\/2, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -10.458 (b) -0.3 (c) -2\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4352 and 8845916?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1.5. Suppose -x - 3*x + 20 = 0. Suppose 3*p + 4 = x*p. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -27. Let n be 8\/6 + (-3)\/b. Let t = 6 + n. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 - 845105*c**2\/2 - 10563512*c - 10140960 = 0. Calculate c.\nAnswer: -845080, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 463104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjggeqjehjajaaj. Give prob of sequence gj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Calculate the lowest common multiple of (-27)\/(-2) + u\/8 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 + 18*i**4 - 69*i**3 - 180*i**2 - 96*i = 0. What is i?\nAnswer: -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(d**3 - 2*d**3 + 3*d**3) + d**4 + 0*d**4 - 2*d**4 + (1 - 1 + 10*d)*(-17*d**3 + 18*d**3 - 77*d**3).\nAnswer: -759*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-257.4275\nAnswer: 102.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -35, -24, -7, 16?\n\"Answer: 3*l**2 - 4*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 682 = 5*x, -4*x + 6*x = -4. Find the second derivative of 1 - l*p**5 + 36*p + 19*p + 28*p wrt p.\nAnswer: -4480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 120 - 88 + 285)*(0 - 4 + 0) as d + o*z and give d.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/88 and -33\/19408?\nAnswer: 213488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439021, -878042, -1317063?\nAnswer: -1756084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 - 0?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 17*j**2 - 14*j**2 - 7*j**2 + (-2*j - 5*j + 2*j)*(0*j + 2*j - j).\nAnswer: -9*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 1, u: 3, i: 1, l: 11, k: 1}. Give prob of sequence guu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**3 + 23*b**2 + 17*b + 21. What are the prime factors of n(-7)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f**3 + 497625*f**2 - 8*f - 234832251 wrt f?\nAnswer: 51*f**2 + 995250*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055791 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 251250220 (base 6) to base 3\nAnswer: 100002021100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 - (-1 + 141) - ((1 - (3 - 3)) + -51).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/7))\/(t\/(t**(-15)\/t))*(t*(t*t**(3\/7))\/t)**1 assuming t is positive.\nAnswer: t**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 10*o - 4. Let c be p(10). Let u(x) = 0*x**2 - 1 - 2 + 3*x + x**2. What is u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2555, 2558, 2563, 2570, 2579?\n\"Answer: o**2 + 2554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjjwivin. What is prob of picking 2 j, 1 w, and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.165 + 4.365. Let g = -4.3 + v. Let j = -356 - -4625\/13. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425 + -1*8\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(539) + 0.\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -69*f - 131. What is the tens digit of j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13288 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((-6)\/6)\/((-62)\/(-86)). Let n = 1538\/3813 + t. Let p(a) = -a**3 - 5*a**2 + 6*a. Let x be p(-6). Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*6\/(-1). Let b = 13 - j. Calculate the remainder when 26 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(1\/5))**(-33)*(((g\/(g\/(g\/(g\/g**(-2\/9))*g)))\/g)\/g)\/(g\/(g\/g**(2\/7))*g)*(g**(-4)\/g)\/g*g**(-7) assuming g is positive.\nAnswer: g**(-6964\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9256 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**2 - l. Suppose -3 = -2*z - 1. Suppose 0 = 4*s - 3*r - 23, -2*s + s + z = 4*r. Calculate the remainder when y(1) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrwrrofllrfar. Give prob of sequence ra.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/317440 and 39\/2864?\nAnswer: 56821760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 2 + -2 - (-1 + sqrt(57)\/sqrt(3) - (sqrt(19) - (-2*sqrt(171) + sqrt(171))\/sqrt(9) - sqrt(19))**2).\nAnswer: sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 47 (c) -0.3 (d) -229 (e) 41 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 737270 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 40343*s**2 - 403330*s.\nAnswer: -s*(s - 40333)*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/2, -4.7, 2\/23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(38) - sqrt(38)*-1 - sqrt(38))\/sqrt(2) + sqrt(19))*2*-3.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -142333012?\nAnswer: -142333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 39 - 23. Is -13 - -240 - (-8)\/f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1838110 and 148160?\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 4*c**2 + 291*c + 4957. Calculate k(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h + 9. Let c be x(-9). Let w = 487 + c. Suppose 2*b - 1062 + w = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 69. Let s(i) = -i - 1. Let a(q) = h(q) + 6*s(q). What is the tens digit of a(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-2\/23))\/g)**13)**(-8\/7))**(-23) assuming g is positive.\nAnswer: g**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 8*k**2 + 53*k - 35. Calculate a(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12832*z + 8079*z + 15218*z - 4111*z + 16133*z.\nAnswer: 48151*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 8*n**2 - 5*n + 3. Let t be c(7). Suppose 5*z + y = t, -3 = 3*z - 2*z - 3*y. Let m = z + 6. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*2 + (-3*sqrt(84))\/sqrt(12).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -415404 + -4?\nAnswer: -415410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 809864533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8 + 20 - 12*i - 2 + 26. Let w be o(2). Solve -w*r = 11*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -2\/33*q**3 + 0 + 1\/330*q**5 + 2*q**2 + 1\/132*q**4 + 0*q. Factor f(u).\nAnswer: 2*(u - 1)*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -3 - 2) + 3. Suppose -2*s - s + 135 = i. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51\/642758 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12685.\nAnswer: 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -81, -82, -83, -84, -85?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -5*(sqrt(605) + -3 + -4))**2*3.\nAnswer: -246315 + 59400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7 and -59\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 6477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-460)\/575)\/(4\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + -42 + (49 - 16).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 15. Let a be j(2). Let x(u) = -u**3 - 2*u**2 + 3*u + 12. What is the units digit of x(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7900, -50760, -167086, -393610, -767064?\n\"Answer: -6122*c**3 - c**2 - 3*c - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48698.89g to tonnes.\nAnswer: 0.04869889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111971 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*q**2 - 346881 + 244*q**2 + 346881.\nAnswer: 334*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 62639*p + 2630823. Determine n(-42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36 times 3\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*(d\/d**14)\/d)\/((d\/(d\/(d*d\/d**(-1\/14))))\/d*d*d*d**1) assuming d is positive.\nAnswer: d**(-155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6023 - 5231. Calculate the remainder when w is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 44.1. What is the nearest to 2\/5 in 1\/3, z, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-6 - -26) - 6 - (150 - 115).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1400.2, -2, 3\/5021?\nAnswer: 3\/5021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4. Let w(u) = -23*u - 92. Determine 92*p(k) + 4*w(k).\nAnswer: -92*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.63247 rounded to one decimal place?\nAnswer: -288.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 smaller than -3871644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**2\/2 - 9*m + 180. Let s(g) = -5. Determine 7*s(p) - 4*v(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9566 = -16*w + 3266. Let j = 811 - w. Calculate the highest common divisor of j and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(6\/(-20)). Let z(o) = 22*o + 22. Let h(p) = 3*p + 4 + 4*p + 3. Let l(i) = s*z(i) - 16*h(i). Differentiate l(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -691 + 880. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145507 rounded to 6 dps?\nAnswer: 0.001455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-2 - -5)*-1. Let y = 10 + t. Suppose -3*g + 2*g = 4*b + y, -b - 32 = 3*g. Do g and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*d**2*u**3 - 4*d**2*u - 1524*d**2 + 2*d*u wrt u.\nAnswer: -150*d**2*u**2 - 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-21)*-15*(-9)\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (35*19\/(-798))\/(70\/(-9))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2*u - 2. Let n = -16 - -18. Let o be t(n). Let c be o\/33 - (-24)\/11. Solve 4 - c = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827280.\nAnswer: 2, 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16882477 or -16882447?\nAnswer: -16882477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 + (-15)\/(-3). Suppose b + 5*q - 10 = 0, -b - m*q = -3*b + 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 0*d + 14*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*sqrt(450) + 1*sqrt(72) + -5 + 2.\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7162 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -42*(-224)\/120 + 2\/(-5) and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = -0. Let w(p) = -p + 1. Let q be w(a). Suppose -5*m + 4*i + 455 = q, -5*m = i + 4*i - 455. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/((-57)\/(-6)) - (-57072)\/(-687078) and -17\/2.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 144 = -18. Sort b, -4, 0, 2 in descending order.\nAnswer: 2, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s**2 - 4*s - 7*s - 3*s - 14. Let u(k) = -3*k**2 - 5*k - 5. What is 4*i(v) - 11*u(v)?\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 201. Suppose -5*r + 18 + 22 = 0. Calculate the greatest common divisor of r and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(22)\/((-1*sqrt(10))\/sqrt(5)))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/j*j)**(-4)*(j**(-2\/3))**(-15) assuming j is positive.\nAnswer: j**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2853105 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 1, a: 1, k: 3, t: 4}. Give prob of picking 1 b and 2 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1683960 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016.667146778 plus -0.4?\nAnswer: -1017.067146778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -13. Which is the closest to 0? (a) 4 (b) -4\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6873843 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002047 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-61.5.\nAnswer: -11.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -51*w + 8. Let x(y) = -34*y + 5. Determine -5*b(m) + 8*x(m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -155531018 to the nearest 10000.\nAnswer: -155530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364 - 309. Suppose -5*h = -5*i + u - 0, 3*i - 38 = 2*h. Solve -8 = -2*r - n, 3*r - r = 5*n - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 707, 700, 681, 644, 583, 492?\n\"Answer: -x**3 + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.4964607 to two decimal places.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:40 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.026, -1\/4, 1\/2, -123, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*d - 6*h + 728, -718 = -3*d + h. Let u be -8*(6\/5)\/((-18)\/d). Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -32.71. Let j = -0.07 + i. Let z = j + -0.04. Which is the closest to 0.1? (a) z (b) -2\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:36 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 23 - -32) + (11 - 1 - 1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 48.\nAnswer: 61\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*b**3*v - 12*b**3 - 2*b**2*v**3 + 375*b*v**3 + 9*b*v**2 wrt b?\nAnswer: 834*b*v - 72*b - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - (-3314)\/8. Suppose 3*w - 14*w - 175 + 373 = 0. Calculate the greatest common factor of w and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 98*b**2 - 102*b**2 - 20 in the form n*b + y*b**2 + w and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 29 = -15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3794*z - 392*z + 585*z = 123334 + 40133 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, -4, 2, 0 in descending order.\nAnswer: 379, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176917070909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 - -248. What is the highest common factor of k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 26*z**2 - 82*z - 5. Calculate o(-16).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 62, 88, 114, 140?\n\"Answer: 26*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*l + 843*l - 174996 = -69748 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*p - 43*p = -58*p + 258 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + (-4)\/30. Let s = 603 - 344. Let n = s + -259.1. What is the closest to n in 0.1, u, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 4. Suppose 7*l + 40 = 3*l. Let r be w(l). Let z(o) = o**2 - 6*o + 1. Determine z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44562103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/2 - 15*t**2\/2 - 10*t. Let w be l(5). Solve 0 = 3*q - w*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 358*n = 0. What is n?\nAnswer: -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 22 = -4*b. Suppose -9*q - 14 = -b*q. Suppose q*w - 6 = 1975. Is 47 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*p*w - 6765786*f*w - 74*p*w + 5*p - 2*w + 37528 wrt f.\nAnswer: 4*f*p*w - 6765786*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4.03757.\nAnswer: 8.07514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.62 + 1.27. Let i = q + -0.75. What is the smallest value in i, 5, 11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -20, -60, -116, -188, -276?\n\"Answer: -8*j**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyxy when four letters picked without replacement from xxyyyxxyyyyxyxyx.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3\/4 - 265*a**2\/4 = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12312001301202 + 1?\nAnswer: 12312001301203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 167302 + 167378 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 643965.6 grams?\nAnswer: 643965600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8705.42 - -9194. What is p rounded to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*-3 + -117. Let a be (-2)\/7 - g\/(-42). Let d = 49 + -145\/3. What is the second biggest value in a, -4, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1473422 * -0.1\nAnswer: -0.01473422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2235 + 1755 = 35*u. Solve -8*c - 82 + u = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7603135*l + 131985674 wrt l?\nAnswer: 7603135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*v + 124, -5*v - 52 - 58 = -4*n. Let s = 115 + -109. What is the highest common divisor of n and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 3416 = 9*o. Suppose -o = -22*x + 20*x. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 49 - 75 + 108*u**2 + 29 - 8*u. Let b = -1 + 3. Is p(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -5*r + 2*q, -5*r - 250 = -3*q - q. Let x = r + 85. Let o = 44 + 23. What is the remainder when o is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 = 2*s. Suppose -5*v - 36 = -s*v. Let w be (-12 - 0)\/(v\/(-8)). What is the highest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 140, 220, 300, 380?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, d: 3, v: 3, y: 2, n: 2}. What is prob of picking 1 p and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 35. Suppose 19 = 4*p + 2*h + h, -p - u*h + 8 = 0. Suppose p*w + 4*v - 60 = 0, 0*w + 15 = w - 2*v. What is the remainder when 27 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755687239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -33*v**3 - 149*v**2 + 55*v + 1. Determine p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6949*a - 6946*a - 3*c = 0, 2*c - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 606302292 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 130, 137, 146, 157?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -98. Let h = -44 - n. Is (1\/h)\/((-1)\/69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17203 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -4 + 8 - 0) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -171*b**4 - 5*b**3 + 102*b + 2276. Find the third derivative of l(a) wrt a.\nAnswer: -4104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 18. Which is the third biggest value? (a) 2 (b) -0.2 (c) -0.08 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*b**5 - 23378*b**4 + 4069756*b**3 + 837845272*b**2 + 1590061200*b - 138325824 = 0. Calculate b.\nAnswer: -116, -2, 1\/12, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/340400*-50*1\/(15\/(-12))?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 + (-5 - -6) - (-15 + (-4 - -28) - -5).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11321785, -22643570, -33965355?\n\"Answer: -11321785*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1414\/119 - 10\/(-170)*2. Suppose -8 = -2*g, 16 = 2*l - 2*g + 3*g. What is the highest common factor of i and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + (-8)\/(1 + 3). Let o(t) = 0*t + u + t - 3 - 4*t. Let k(c) = -c + 9. Let j be k(6). What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g + 1133*g - 137*g = 43316 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -132, -213, -312, -435?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1403)*(-7)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 4*sqrt(16)\/sqrt(2) - sqrt(8) - (sqrt(800)*-1 - sqrt(8)))*-3)\/((sqrt(196) - (5*1*sqrt(196) + sqrt(196)))*-5).\nAnswer: -9*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 4*q**2 + 4*q + 2. Suppose -4*h + 2*x - 18 - 2 = 0, -4*x = 3*h - 7. What is k(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10781*a**4 - 9*a**2 - 8891*a. Let i(r) = 86245*r**4 - 69*r**2 - 71128*r. Let p(x) = -3*i(x) + 23*m(x). What is the second derivative of p(h) wrt h?\nAnswer: -129264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/3 - 3365*z - 3239100 = 0.\nAnswer: -885, 10980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 90143 + 165550 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/170 and -89\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 99735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -138 + (-7 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/148 + -2\/37. Suppose -3*l - 18 = -5*q - 4, 3*q - 8 = 2*l. Which is the closest to l? (a) v (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*o - 70386, o = -2*h + 7*h - 117310. Let q = h + -445605\/19. Let s = q + -4657\/380. Find the common denominator of s and 37\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - 55 - (-1 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 3. Suppose 2*c + 6 - 4 = 0. Let t(b) = -b - 1. Let v(y) = c*r(y) - 5*t(y). Let d(l) = 2*l + 4*l + 2 - 3*l. Determine -3*d(h) + 2*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**3 + 96*s**3 + 1743*s**3.\nAnswer: 1790*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 12645\/2, -4\/7 in descending order.\nAnswer: 12645\/2, 0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) - 99\/(-15). Let n be c\/(-4)*2*-29. Suppose 0 = 3*z - 3*w - 279, z - 22 = 5*w + n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18136 and 1120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from susiwu. What is prob of sequence wui?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*q = 3*l + 250*q + 9, 2*l = 4*q - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**2 + 7. Let v(r) = 29*r**2 - 29. Let z(o) = -9*n(o) - 2*v(o). Differentiate z(f) with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 4*o + 20, 0 = -h - 5*o - 5. Let d be 8\/2 + (-5)\/h. Suppose d*z - 43 = 147. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 8*l**2 - 18*l + 1. Give z(-8).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6895759 times 0.8?\nAnswer: 5516607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 18825*f**2 + 340310*f - 605280.\nAnswer: -5*(f - 16)*(f - 2)*(f + 3783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 201398.8 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 753586629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 1\/5*x**5 + 4\/3*x**4 + 3 - 8\/3*x**3 + 25*x + 0*x**2 - 2\/15*x**6. Factor l(j).\nAnswer: -4*j*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(1\/5)*l)\/l))**(48\/5) assuming l is positive.\nAnswer: l**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*5\/(-75)*10\/14)\/(219024\/21294).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15093 = 26*a - 35*a. Calculate the highest common factor of a and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/341 and -11\/193?\nAnswer: 65813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*r - 35*r - 40. Put r, 3, 2, -15 in increasing order.\nAnswer: -15, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Let t = 6.32 - j. Let y = t - 19.52. What is y rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 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: What is ((-2)\/6)\/(135\/90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -27\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -76*l + 261. What is y(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 2:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1409 - 642 - 309 + 1437)*(-3*b**2 + 2*b**2 + 0*b**2).\nAnswer: -1895*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480599 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8126672 is divided by 2708872.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -17*t + 4. Let c(n) = -17*n + 3. Let q(y) = 3*c(y) - 4*x(y). Let o(v) = -8*v + 3. Calculate -13*o(a) - 6*q(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y**2 + 11*y - 9. Let s be k(1). Is (-21230)\/s + (-4)\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611531.\nAnswer: 611531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -3819957.57?\nAnswer: -3819957.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/11 + 40*b**2\/11 - 128*b\/11 = 0. Calculate b.\nAnswer: 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-3)\/(-15)*(-41)\/(-123). What is the nearest to x in -0.1, -2\/15, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 163 - 88. Solve -5*k - p = 2*p + s, -2*p = -k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-24)*(-2 - -2). Suppose r = -32*n + 164 + 28. Solve -2*u = -3*p + 9, 2*p - 3*u + n = 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 6 = -2*i, -3*i + 4*j = 307 - 311 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 24\/(-15) + (-378)\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:35 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 691*c + 475. Determine z(98).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 626, 1264, 1902, 2540, 3178?\n\"Answer: 638*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-24)\/126*135\/30.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 9 - (6 - (4 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.04, 1, -2?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917.\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*h + 39 = -o, -2*o - 4*h = -4. Let c = 0 - o. Let p = -9 + c. What is the biggest value in 3, p, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 2, s: 2, a: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 23, -47, -197, -457, -857?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20303 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: Let n(p) = 8*p + 4*p**2 + 16*p - 20 - 14*p + 40*p. Let i be n(-14). Let x = 73 - i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16274, -16365, -16498, -16673, -16890, -17149, -17450?\n\"Answer: -21*m**2 - 28*m - 16225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-329*q**2 - 1324*q - 322*q**2 + 648*q**2)*(-4*q + 0 + 2 + 2*q).\nAnswer: 6*q**3 + 2642*q**2 - 2648*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41301524 + -501?\nAnswer: -41302425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175060 - 676294 = -87*k + 471339. Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/83, -162, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/5 + 34*l**4\/5 + 214*l**3\/5 + 638*l**2\/5 + 912*l\/5 + 504\/5 = 0. What is l?\nAnswer: -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.418386 + 0.3.\nAnswer: 1.718386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/(-12))\/(2\/(-3)). Find the second derivative of 0*w**5 + 3*w**5 + 20*w - 2*w**5 - i*w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9894.0571 rounded to the nearest ten?\nAnswer: -9890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-35) - (-6)\/21. Suppose -2*v - 20 + m = -5*d, -d + 7 = 3*v. Calculate the greatest common divisor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (376 + -1)*-150*(-355)\/266250.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 507640 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y. Let d be t(3). Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*q + 68*q + 65*q - 224*q**2.\nAnswer: -224*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -292, -583, -874?\n\"Answer: -291*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/(-459) - (-2)\/(-17). Let d = 2\/197 - 404\/985. Which is the closest to 0.2? (a) o (b) -10 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - d + 5*d + 14, 5*d = -3*y + 10. Suppose y*v - 26 + 11 = 0. Let n = v + 11. What is the smallest common multiple of n and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 5 (c) 487\/5 (d) -0.4 (e) -4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/48*(-9)\/(-4). Find o, given that -7\/2*o**5 + 0*o + 0 + 0*o**2 + 9\/2*o**4 - o**u = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273108339?\nAnswer: 3, 7, 41, 105733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -6\/685, 3, -1\/4, 5, -4\/9.\nAnswer: -4\/9, -1\/4, -6\/685, 5\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33967, 67583, 100837, 133735, 166283, 198487, 230353?\nAnswer: 261887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-128)\/(-256))\/(1 + (-603)\/606) is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1993710 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11505131*c**2*j**2 - 2*c**2 + 7257753*c*j wrt j.\nAnswer: -23010262*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j, 3*x + j = -4*j + 13. Suppose 3 - 9 = -2*n. Let o = 0.1 - -0.2. Which is the closest to x? (a) o (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, -5 in decreasing order.\nAnswer: 1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 15*q = 64*q + 1482 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 6*p**2 + 3*p**2)*(-3*p**2 + p**2 + 5*p**2) - 20*p**4 - 3*p**4 + 2*p**4.\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177522829 is divided by 135?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2853 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -38. Let n = l + -26. Factor 4\/9*k + 2\/9*k**2 + n.\nAnswer: 2*k*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n - 230005 = -221124 for n.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Let o(m) be the first derivative of m**3\/6 - 2*m**2 + 8*m + 6. Let z(c) be the first derivative of o(c). Determine z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(242) + 1) - sqrt(242)) + 1)**2 + ((sqrt(242) + 3)*-5 + -4)**2 + 1.\nAnswer: 2090*sqrt(2) + 6416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/7)*b*b\/(b\/(b\/b**(-12))))\/(b**(-2\/11))**(-13\/7) assuming b is positive.\nAnswer: b**(166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from cgccgdcg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 6*r - 5*r - 271, 4*k - 5*r = -221. Let a be 993\/k - 3\/27. Let z = a + 19. Is z equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 33 = 725*v - 730*v, 3*v + 19 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/24 + v**3\/6 + 9*v**2 - 27*v. Let l(c) be the first derivative of i(c). Determine l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/13 - 100616*i\/13 = 0.\nAnswer: 0, 50308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -197. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-18)*(0 + -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164*h**2\/7 - 38203*h\/7 + 9561\/7.\nAnswer: -(4*h - 1)*(41*h + 9561)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/324 and 125\/192.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 128755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + (0 - 12 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4832.002 + 4825. Let a = -1 - 6. Let l = a - k. Round l to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24779 - 6180. What is the remainder when u is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 4)*(5*c**2 - 2*c**2 + 0*c**2)*(1 - 3*c - 1).\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g**3 + 858*g**2 + 172*g + 7. What is n(86)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 10157597.\nAnswer: 304727.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:27 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 53.54832219.\nAnswer: 53.44832219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.87 + -3.6. Let m = 1.73266 + y. Round m to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from ccrrcccc.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*d + 1, u - d + 4 = d. Let a = 102.1 + -103.1. What is the smallest value in 2\/13, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 109. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*a*g**2 + 3161*a*g - 172158428*a + 2*g**2 wrt g?\nAnswer: 32*a*g + 3161*a + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r*r)**(1\/3))**(-31) assuming r is positive.\nAnswer: r**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 8*i - 2. Let g(q) = -q + 1. Let a(w) = 4*g(w) + v(w). Let d be a(5). Does 12 divide d*16\/4*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14957801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(22)\/(4*sqrt(2)) + sqrt(11) - sqrt(11)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96b149 (base 13) in base 5?\nAnswer: 1401144100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 18*l - 19*l = -124944. Calculate the highest common divisor of 548 and l.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -293*x - 3805. Give q(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11689965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 16.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r + 4. Let j be p(0). Let h(v) = -v**2 + v + 5. Let q be h(0). Let f be 2\/2 - (1 - -1). Put f, q, j in increasing order.\nAnswer: f, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278162 less than -278160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**3 - v**3 - 438638*v**2 - 15*v + 438637*v**2 + 33 - 956*v**4 wrt v.\nAnswer: -22944*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2 - 2) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -426 * 0.5\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 162267?\nAnswer: 1298136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:05 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -n + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 25*k**2 + 29 + 24*k - 78 + 25 + 29. Let u be c(-24). Let i = -11 + 7. Put 7, i, u, -3 in decreasing order.\nAnswer: 7, u, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 44 = 4*z. Let h(s) = 5*s**2 + 5*s - 8. Let g(m) = 9*m**2 + 9*m - 15. Let p be (-60)\/45 + (-6)\/(-18) + (-5 - 0). Give p*g(x) + z*h(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.0850928.\nAnswer: -0.2552784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/10)\/((-1)\/5). Let b be ((-2)\/j)\/((-26)\/9243). Is (b\/2)\/((-39)\/(-52)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -0.3, 2\/9 in ascending order.\nAnswer: -67, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - 3 - ((-27 - -249) + -154)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 10. Let i be j(6). Suppose 2*r + 1 = -9, -i*r = -4*z + 292. What is the highest common factor of 51 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8199*c**6 - 16217*c**5 + 3*c**2 - 2820*c + 648?\nAnswer: -983880*c**3 - 973020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. What is the units digit of (9\/v - -8)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74bd (base 15) in base 14?\nAnswer: 9007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4066069294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 863514381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from madcaaacdcaa. What is prob of sequence dmad?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2358*m - 2362*m + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177323 and 3?\nAnswer: 177320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 5, -42, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19244?\nAnswer: 2, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**0*o*o))\/(o\/((o**(-2\/3)*o)\/o*o*o)*o)*o**0\/(o**(-2\/15)\/o*o*o))\/((o**(2\/11)\/o*o**(-1)*o)\/(o**(-2)*o*o*o**(-1))) assuming o is positive.\nAnswer: o**(-448\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 2*n**2 - 169 - n**2 + 196. Is v(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17239 * 172\nAnswer: 2965108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*n - 25 = 3*n, -5*n = 2*z - 21. Calculate the lowest common multiple of z and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9917 (base 13) to base 8.\nAnswer: 51502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - -1)*(-2 - 21) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*h - 0 + 5, 3 = 3*h. Suppose -w*n + 31 + 32 = 0. Differentiate -n*z**2 + 23*z**2 + 2 - 3 with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123335911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/39 + -1\/13. What is the closest to t in 1, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 6*g**2 + 4*g + 5. Let i be b(4). Is 1\/2*i\/((-44)\/848) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -23\/4. Let i = 1.4 + -1.3. What is the closest to -0.2 in 0, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5589, 11180, 16769, 22356, 27941, 33524, 39105?\n\"Answer: -r**2 + 5594*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3\/3 + k. Let g(j) = 6*j. What is g(h(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*1*2\/(-2). Let l(g) = 18 + 194376*g - 5 - 194377*g. What is l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*a + 164 = 0, 0 = 4*o - a - a - 262. Suppose 3*b - 4*m + 21 = o, -2*m = -5*b + 70. Suppose -n - b = -3*n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 + 25 = 5*u, -9 = -4*u - x. Let a(h) be the first derivative of 6\/25*h**5 - 2\/5*h**u + 0*h + 0*h**2 + 2 - 9\/20*h**4. Find t, given that a(t) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1008 and 44\/1575.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 6*c - 32. Let q be t(6). Solve y = q*b + 17, 9 = -b + 5*y - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10 + 2 + 14 - 4*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 62 = 6*l. Let c be (0 - -2)\/(-2) - l. Solve -3*u - 2*u + 2*v + c = 0, 4*v + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {f: 3, b: 1, r: 6, i: 2, x: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3465 divided by -63\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 3. Suppose -4*w - 2196 = -0*m - 2*m, 3*m + d*w = 3303. Let j = -9300 - m. Round j to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y. Let h(c) = c - 28. Let k be h(32). Let f(m) be the third derivative of -1\/30*m**5 + 4*m**2 + 0*m**k + 0 + 0*m**3 + 0*m. Give i(f(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 90849.077 to the nearest one hundred.\nAnswer: 90800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.441145 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27526 - -28441. What is the lowest common multiple of 5 and j?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**3 + 9. Let n(i) = -i**3 - 1. Let f be (-1 - -2)*0\/1. Let s be (18 - 2) + (2 - f). Calculate s*n(c) + 2*o(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18151452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -110.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpfpff. Give prob of sequence ppf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 + 3*l + 2. Calculate s(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 4. Let z be o(-2). Suppose z = -5*j - 4. Let u(y) = y**2 + 4*y + 1. What is u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/17520 and -37\/4?\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 739860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = -5*v, -4 - 2 = 2*a. Calculate the lowest common multiple of (2 + 7)*(-6)\/(-3) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 63595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/3 + f**2 + f. Let l be h(-4). Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 51 = 3*y. Suppose -4*x - b + y = 0, -b - 5 = -4*x + 2. Let 1\/6*w + 0 - 1\/6*w**x - 1\/6*w**2 + 1\/6*w**4 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/31, -2, 8\/17, -0.288, -3, -8\/3?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 158, 318, 478, 638, 798?\n\"Answer: 160*q - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -4)*238\/68. Let t(q) = -9*q**3 - 5*q**2 + 2*q - 5. Let h(r) = -4*r**3 - 2*r**2 + r - 2. Let f(w) = i*h(w) + 3*t(w). Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) 8 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30575, 30571, 30567, 30563?\n\"Answer: -4*h + 30579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722 + 42 + h + 112.\nAnswer: h + 876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 8 + 12 = -3*c, -22*c + 23*c + 8*l + 8 = 0 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 - 24*h - 2. Determine c(8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 6. Let p be g(-5). Let m be (p\/(-6))\/(4\/(-6)). What is the highest common divisor of m and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and 2.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, i: 1, e: 4, p: 1}. What is prob of sequence ep?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 317124019 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10312339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2255, 4528, 6793, 9044, 11275, 13480, 15653?\n\"Answer: -a**3 + 2*a**2 + 2274*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126fa (base 16) to base 12.\nAnswer: -3784a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1*sqrt(80)*-4 + 5)**2.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2921 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 2*y**2 - 2*y)*(-24*y - 3*y - y) as r*y**3 + j*y**2 + f + d*y and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 15*a**2. Let z be o(-15). Let l = 3.18 - 5.18. What is the second biggest value in 27, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-54 + 340 + 321)*(5 - 5 + 3*p).\nAnswer: 1821*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1663*o + 28871 - 5406 = 428*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-12)\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*r**3 + 3*l**2*r**2 + 3611281*l**2*r + 9483086*l*r**6 wrt r?\nAnswer: -6*l**2 + 1137970320*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 39*v**2 - 84*v**2 + 44*v**2. Let c(y) = 4 - 2*y - 4. Calculate c(h(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1180311.6 months to years.\nAnswer: 98359.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 1, c: 1, h: 1, r: 2}. Give prob of sequence qhcp.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5300 = -319*z + 25838 + 5939 for z.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, -6783, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41245.\nAnswer: 5, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2*n**2 + 3*n**2)*(-12*n - 10*n + n).\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 117.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -521, -1183, -2961, -6413, -12097?\n\"Answer: -93*p**3 - 11*p - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-2) - (-279)\/(-31).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -3*x**2 - 1. Let n(u) = -87*u**2 + 42*u**2 + 43*u**2. Determine n(c(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2831?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 3. Let j = 6 + -1. Let n(c) = -9*c - 7. Determine j*x(s) - 2*n(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995062 is divided by 265.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 496, 3930, 13256, 31420, 61368, 106046, 168400, 251376?\n\"Answer: 491*s**3 - 3*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 4.65863277.\nAnswer: 4.45863277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0662 and -286.\nAnswer: -285.9338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 813, 1603, 2389, 3171, 3949, 4723, 5493?\n\"Answer: -2*w**2 + 796*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*r + 2*c, 22*r - 66 = -12*r + 2*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40232530 (base 6) to base 7.\nAnswer: -12455034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4868 and 14603\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1\/3, -4, -14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24182594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 13*m**2 + 16*m - 45. Let g be r(12). Let q(j) = -j + 7. Let x be q(0). Solve k = -t + x, -2*t + g = t - 3*k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/6, -3\/2, 2 in increasing order.\nAnswer: -3\/2, 1\/6, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/6 - 3*q**2\/2 - q. Let d(y) = 3. Let i(m) = 1. Let f(a) = -d(a) + 2*i(a). Determine 4*f(c) - n(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*m + 24, -2*m - 59 = 2*r - 77. Find l such that 0 + 0*l + 9\/2*l**2 + 3\/4*l**r = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*t + 5*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 0.27. Let f(n) = 4*n + 30. Let i be f(-8). Sort u, -1, 0.5, i in descending order.\nAnswer: 0.5, u, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - 3*p + 6. Suppose -2*l - 7*l = 45. Let v(a) = 5*a**2 - 2*a + 3. Give l*v(y) + 3*u(y).\nAnswer: 2*y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 14 = d + 63, -3*d + 165 = -5*w. Let s be (-24)\/w*(-27)\/2. Let j(h) = -h**2 - 12*h + 10. Is 7 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 1\/5 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(108\/252)*(-3)\/34.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -1\/4, 1578, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 64, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*((y\/y**(-1))\/y)\/y*y)\/y)))\/(y*y**(-12)*y)*y**(-6)\/y**32 assuming y is positive.\nAnswer: y**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/441 and -169\/588.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 1.4. Let x = 0.05 + 1.35. Let w = x - -0.6. Sort i, w, 1 in descending order.\nAnswer: w, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 38. Let l be u(7). Does 4 divide 3\/((-11)\/35 - (-18)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-840)\/448)*9\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w - 210 = 118 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34602, -69227, -103884, -138591, -173366, -208227, -243192?\n\"Answer: -3*a**3 + 2*a**2 - 34610*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -dfbc (base 16) in base 15?\nAnswer: -11e86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/144 + (-69)\/(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -414643 + 5?\nAnswer: -414638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -3*r**2\/2 + 9*r + 3. What is the first derivative of d(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1397 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391 - 174. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 14*o**3 - 59*o**3 + 13*o**3 + 13*o**3 + 16*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*d**2 + 315*d**2 - 44*d**2 - 2*d + 103*d**2 in the form y*d**2 + b + o*d and give y.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(230532 - 230532 + 1835*m**2) + m**2 + 2 - 2 in the form l + d*m + u*m**2 and give u.\nAnswer: -1834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664945379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 11. Let x(r) be the second derivative of -r**3\/6 + 3*r**2\/2 + 8*r. Give 6*u(o) - 22*x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87337?\nAnswer: 87337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12264973379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 3)\/(-3) + -7. Let j(h) be the third derivative of h**5\/60 + 5*h**4\/24 + h**3\/2 - h**2. Let m be j(k). Solve -4*u + u + m = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/31)*o*o**5)**(-3)*(o**(-6\/11)*o**(-1))\/(o**(-1\/2)*o)**(-9\/8) assuming o is positive.\nAnswer: o**(-120995\/5456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 23045?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35592 + -35267. Calculate the remainder when 995 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/108230 and -149\/75840?\nAnswer: 10390080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 4737 = 4*x + 15*d, 5*x = -d + 5937. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrwwfxsrfrrrrrfr. What is prob of sequence xsw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26405551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/13 - 3731216*q\/13 - 1740246604832\/13 = 0.\nAnswer: -932804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v + 45 = -5*u, 2*u + 8 = 0. Sort 0.4, v, -0.06 in increasing order.\nAnswer: v, -0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + (-2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13150318, 26300634, 39450950?\nAnswer: 52601266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 - 6*q**2 + 3*q**2)*(-4*q - q + 6*q)*(392 + 43*q - 392) to the form c*q**3 + m*q + l + k*q**2 + r*q**4 and give r.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 222947720 - -2?\nAnswer: 222947722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 126\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/(1\/(-4)). Suppose 3*f = 11 + u. Let r be (6\/(-8))\/(15\/(-1260)). Calculate the greatest common factor of f and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 144, 594, 1338, 2370, 3684, 5274, 7134, 9258?\n\"Answer: -p**3 + 153*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 98. Let y be v(-10). Let d be (136\/16 - 4)*(y - -2). Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 60*d**2 + 62*d + 2. Give a(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2785220442 to the nearest integer?\nAnswer: 52775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 449*q**3 - 7*q**2\/2 - 39*q - 897. Find the second derivative of o(x) wrt x.\nAnswer: 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 1, h: 1}. Give prob of sequence hml.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 15. Calculate o(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 247, 265, 295, 337, 391?\n\"Answer: 6*d**2 + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 3)*(15 + 14 + 11)*(15 - 4*w - 15)*(-w + 2*w - 3*w)*(-w - 3 + 3) to the form u*w**2 + o*w**3 + n*w + k and give o.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {f: 1, g: 2, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q + 6 = 51*q. Suppose 12*l = q*l - 3492. Round l to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10771811*h**2 - 117460709*h wrt h?\nAnswer: 21543622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*j + 2*d - 58, j - 4*d - 14 = 0. Let y = j + -17. Which is bigger: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r\/((r*r\/(r\/(r\/(r**(-6)*r))))\/r))**(2\/23) assuming r is positive.\nAnswer: r**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g - 10*g - 4365. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 85. Let k(m) = m - 1. Let s be k(-2). Which is the nearest to r? (a) 6 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173247 - 2?\nAnswer: -173249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(9 - 0\/2). Let o = 23 - v. Suppose -f = -o - 8. Calculate the remainder when 43 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -232, -225, -230, -253, -300?\n\"Answer: -u**3 + 14*u - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/12*1*-3. Suppose -x*g - 2*h + 6*h = -66, g = -h + 6. What is the lowest common multiple of 2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -26.2. Let c = n + -7. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (14 - (-10 + 16)) + (-3 - 37).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003967 to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13*(-3*(-4)\/6 - 3). Let j(x) = 2*x**2 - 27*x + 9. Let u be j(s). Which is the nearest to 0? (a) u (b) 2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(112)\/(sqrt(8) + -2*sqrt(8)))\/(sqrt(32)*6) + 5.\nAnswer: -sqrt(7)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 111352338 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*z**2 - 3*z**2 + z**2 to the form u + o*z**2 + y*z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1329*-3.\nAnswer: -3987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(120\/90)*224\/(-6). Put 26, 0, -5, t, -4 in descending order.\nAnswer: t, 26, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -41*d**3 - 3*d**2 - 4. Let r(t) = -41*t**3 - 2*t**2 - 3. What is -2*f(a) + 3*r(a)?\nAnswer: -41*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-6)\/sqrt(4) + sqrt(1250) + (sqrt(1250) - (sqrt(1250) + -2*sqrt(1250))) + sqrt(50))\/(-6*1*sqrt(160)*-4).\nAnswer: 5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 0. Let z = i + 9. Is z equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 157 = 3*w, 5*w = -r + 5*r - 642. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 696, 692, 688?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4940 - 4022 - 8711 = -424*v + 7047 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*r**5 - 552*r**4 + 2019*r**3 - 1956*r**2 - 1392*r - 192.\nAnswer: 3*(r - 4)**3*(4*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8498 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)*y*y**4*y*(y*y**(-2\/5))**(39\/4))\/(y**(-2)*y*y\/((y**1\/y)\/y))**32 assuming y is positive.\nAnswer: y**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2144070835 + 771241134. Let g = 2915311997.000000816 - o. Let q = g - 28. Round q to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/3)*i**(-1\/4)\/i**1*(i\/(i\/i**(-5\/2)))\/i*i**(2\/5)*i**(4\/3) assuming i is positive.\nAnswer: i**(-341\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -31*b - 72. Let z(k) = -3*k + 35. Let j(h) = l(h) + 2*z(h). Let c(u) = 4*u. Give j(c(y)).\nAnswer: -148*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*d**3*h*z**3 + 3*d**3*h*z**2 - 2*d**3*z + 2*d**2*h*z + 9*d**2*z**3 + d**2*z**2 - h wrt d.\nAnswer: 138*h*z**3 + 18*h*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 151881*u + 7 + 2 - 3.\nAnswer: -151881*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014a (base 15) in base 16?\nAnswer: -c6e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (47 + -51 - 55).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 129?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*f + f + 10, 5*q - 12 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 69, -5.5, 1\/2, 1?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221172072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*c - 187*c - 22 + 66*c + 61*c.\nAnswer: 5*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11350*-3.7\nAnswer: -41995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 919*l**6\/120 + 3*l**5\/4 - 3*l**2 + 66. What is the third derivative of i(r) wrt r?\nAnswer: 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243436895?\nAnswer: 5, 13, 103, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -0*q - 6*q + 135 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 915, -398, -2587, -5652, -9593, -14410, -20103?\n\"Answer: -438*z**2 + z + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -554.6459 + 554.4. Round r to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 14. Let q(i) = -4. Let c(j) = 4*g(j) + 14*q(j). Let t(p) = 4*p**2 - 2*p**2 - 3*p**2. Determine t(c(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wuuwwwwww?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -1153, -2738, -4985, -7900?\nAnswer: -11489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 8*a**2 - 7*a + 4. Let t be n(7). Suppose 2*r - t*r - 11 = 3*y, -27 = -r + 5*y. Solve o - 3 = r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-16)\/(384\/54)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:11 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15867 or 2?\nAnswer: 15867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2. Let s(d) = d**3 + 9*d**2 - 14*d - 6. Let k(x) = -x**2 + x + 1. Let c(b) = 5*k(b) + s(b). Let g(v) = 2*c(v) - 10*w(v). Factor g(f).\nAnswer: 2*(f - 3)*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 26 = 4*c, -5*c + 3*u = 27 + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-34)*h**(1\/71) assuming h is positive.\nAnswer: h**(-2413\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 61*s + 120. Let l be j(2). Let g(i) = 3977*i - 205. Let y(k) = 39*k - 2. Calculate l*g(h) - 205*y(h).\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203975.2 rounded to the nearest 100?\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 1. Let d be (-20 + 0 + -1)\/(-1). Let o = d - 24. Let w be b(o). What is the second biggest value in 1, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:32 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 4*t**2 + 5*t**3)*(0 - 4 - 3).\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*z - 32 = 16, -q - 16 = 2*z. Let p = 8 + q. Solve p = 5*k - 11 - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqq when four letters picked without replacement from aaaqaqqaaqqqq.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-6)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18840 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*(23 - 987\/45)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:49 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(121) - 3*2*sqrt(121))\/(sqrt(11) + sqrt(44)\/sqrt(4)*4).\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*f - 10, 0 = 2*f + 2 - 4. Suppose -13 = -v - y. Let t be (16\/v)\/(6\/195). Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 80791.65mm?\nAnswer: 0.08079165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 2*t)*(-t**2 - 2*t**2 + t**2) + (t**3 + 3*t**3 + t**3)*(-4 + 3 - 1) - 3*t**3 + t**3 + 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -5\/21 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -62. Calculate the remainder when k is divided by 1\/((-41)\/(-10) + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.3. Which is the second biggest value? (a) -12 (b) -2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 90. Put -9, 5, i, 4 in decreasing order.\nAnswer: 5, 4, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68099 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2 and -73\/124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54\/21)\/(15\/140). Let o = a + -28. Let d be o - 5*3\/(-3). Is -4\/19 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -915, -1594, -2273, -2952?\n\"Answer: -679*y - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8298)\/(-21465) - 4\/9. Let j = 4\/53 - y. What is the closest to -1 in 27, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*o - 4048 = -o, -4*y + 2*o = -8096. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 9 + (2 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -34648?\nAnswer: 41\/8662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 33\/7. Let t(l) = -2*l + 5. Let b(m) = -3*m + 4. Let k(a) = 10*a - 13. Let c(h) = -14*b(h) - 4*k(h). Calculate w*c(r) + 4*t(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 86?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 115. Sort d, -8, 3, -5.\nAnswer: -8, -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 4 + 2)*(0*o + 0*o + 2*o**3) - 8*o**3 - 6*o + 6*o)*(-41*o + o - 29*o - 27*o) in the form z + i*o**2 + f*o + q*o**4 + h*o**3 and give q.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15791591*w**5 - 26435781*w wrt w.\nAnswer: 315831820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.504 plus 42904686?\nAnswer: 42904755.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - -2. Let h = -0.1 + 3.1. What is the third biggest value in h, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8573615 = 63*r - 9899182. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2725748, 2725750, 2725752, 2725754, 2725756, 2725758?\n\"Answer: 2*t + 2725746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 10*n + 1. Let b be x(7). Suppose 0 = 3*d - 4*o - 22, 46 + b = 5*d + o. What is the lowest common multiple of d and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478326735 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9ad + 5?\nAnswer: 9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmqoooyymqyqmlyoqqm. What is prob of sequence oq?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1657*v + 13 + 15 - 28 - 618*v in the form k*v + t and give k.\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 405 - 367. What is the nearest to 1 in -5, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.990207 grams in milligrams?\nAnswer: 2990.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3*y**3 + 3*o**3*y**2 + 4*o**3*y + 10*o**3 + 3*o - y**3 wrt y?\nAnswer: 18*o**3*y + 6*o**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 4. Suppose 2*p + 2*f = 2, -4*f - 5 = -2*p + 9. What is c(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)\/(s\/s**(1\/2))*s**(-2)*s**(-1\/4) assuming s is positive.\nAnswer: s**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -6 - 0. Let m be (13\/(-3) - -4)*1. Which is the third biggest value? (a) m (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from btnbttbt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 + 3012?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 973 - 1029. Let q = -23 - 59. Let o = v - q. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -368, -371, -374, -377?\n\"Answer: -3*o - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8398620*t**4 - 56944*t**2 - 3*t - 4 wrt t?\nAnswer: 201566880*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + (4*(0 + sqrt(891)))**2 + sqrt(891).\nAnswer: 18*sqrt(11) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from eeeeeeec.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1588446 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -204033 (base 6) to base 4\nAnswer: -10000311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.003, 1, 6\/13 in descending order.\nAnswer: 1, 2\/3, 6\/13, 0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) - (1 + sqrt(1088))))*-5) + sqrt(1088) + 4 + (sqrt(1088)*-3 - sqrt(1088)) + 3)*6)**2 + -5.\nAnswer: 110592*sqrt(17) + 2527483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -298 + 630. What is the remainder when v is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24993*o**3 + 1010*o**2 + 10 wrt o?\nAnswer: -149958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*p + 2, -4*s + 3*p = 2*p + 18. Let a = 14 - 3. Suppose 3*t = -3*i + a + 7, 0 = 2*t - 4*i + 6. Sort -3, t, s in decreasing order.\nAnswer: t, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*g - 1. What is the remainder when ((-2)\/g + -2)*-5 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 6346 = -d, 5*o - d = 7919. Is o at least as big as 1586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -39. Suppose 3*u - 5*u - 8 = 0, 0 = 4*r - 4*u - 56. What is the lowest common multiple of r and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23441, 113235, 262885, 472385, 741729, 1070911, 1459925, 1908765?\nAnswer: 2417425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -0.72. Let i = 1.8 + g. What is the second biggest value in 3, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 10*m - 7. Let x be n(-6). Suppose -19*w + x*w = 4. Let h = w + 3. Solve f = -1 - h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 1.5. Put -2, 5, u in increasing order.\nAnswer: -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -4 - ((0 - -20) + -17 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001478045357 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 25 = -20*g. Let q = -11 + 6. Put 4, g, q in descending order.\nAnswer: 4, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91181437433 - -2\nAnswer: 91181437435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.0481cm to millimeters.\nAnswer: 7300.481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2307 - -2306. Sort i, 4, 18, -0.2 in decreasing order.\nAnswer: 18, 4, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-183)\/(-61))\/((-3)\/(-23)). Solve 0*b = -y*b - 69 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d3ce (base 16) to base 9\nAnswer: -82336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**5 + 3*s**4 + 3*s**3 + 3. Let j = 11 + -8. Let l(t) = 2*t**5 + 4*t**4 + 4*t**3 + 4. Let p(i) = j*l(i) - 4*q(i). Factor p(d).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2997 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.213 and 0.031.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713896352 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + -10 + -7 + 1. Let p(x) = 6*x**2 - x - 8. Let z be p(c). What is the common denominator of (-249)\/z + 4 + 2 + -3 and -119\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69885370403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 2\/3, -3, 6\/325, -29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -81 - 1*2*594\/(-44).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305439903 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -40*q**2 + 266*q + 851. Determine d(-3).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 - -217. Suppose -8*y - 3*p - 4029 = -11*y, t = 3*y + 5*p - 4053. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 42084*w - 10. Give j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p - 75*p = -97*p - 408 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 122 (b) -3 (c) 16 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faxb when four letters picked without replacement from nxjajxxxjnjajbanjaaf?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 4*x + 10 = 0, -32*c + 34*c + 13 = -3*x. Which is greater: c or -2\/5067?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2949986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 212315861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/335 and (-2)\/7 + (-2416)\/(-3360).\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*t**2 - 115*t**2 - 117*t**2 - 111*t**2 - 121*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16\/7 (b) -2 (c) -45.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 8822*k - 8820*k - 2*s, -3*k + 436 = -4*s. Let u = 61 + -43. What is the remainder when k is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-10)\/(-2) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfr when three letters picked without replacement from {x: 4, f: 3, r: 4, t: 3, g: 1, o: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538608 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -q + 3, -2*i + 3 = q - 4*i. Suppose -2*t + 3*z + 344 - 140 = 0, -301 = -q*t + 2*z. Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 21520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -73. Is b less than or equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -4154\nAnswer: 8308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 + 4*f + 2. Let r be p(-2). Suppose -7*t + r*t = -135. Let c be (-18)\/t - 14\/10. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by 477.\nAnswer: 193\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d - 5. Let k(j) = 1. Give -6*k(l) - q(l).\nAnswer: 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0 + 0*q + 5*q**2 + 7\/60*q**5 + 0*q**4 - 2\/3*q**3. Find the first derivative of t(c) wrt c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 349*j**5*m + 9*j**3*m**2 - 30*j**2*m - 391*m**2 wrt j.\nAnswer: 20940*j**2*m + 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30*((-27)\/(-6))\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 8*z**2 - 10*z + 8. Let v(u) = u**2 + 8*u + 3. Let l be v(-8). Suppose -l*f - 27 = -6*f. Let s be q(f). Put 5, -2, s in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11301 (base 4) to base 14\nAnswer: 1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p**3 + 35*p**3 + 11*p**3)*(7 - 3 - 11) to the form c*p**3 + b*p + n*p**2 + q and give c.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 40, 0.1, -14, -0.022 in decreasing order.\nAnswer: 40, 0.1, -0.022, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + -206. Solve 0 = -q*g + o - 16, -7*o + 4*o + 3 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 9. Let n be p(0). Suppose 3*y - 2*a = n, 3*y + y + 4*a = 12. Suppose v = -b - y*v - 2, b + 2*v = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5849613 is divided by 968.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 1, t: 5, l: 5, p: 1}. Give prob of sequence lft.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16*q. Let s be a(0). Solve -5*p - 2*o - 8 = s, 2*o + 5 - 15 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-14)\/4))\/(1868\/2802)*119\/(-442).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 5:17 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 h when four letters picked without replacement from {e: 4, h: 3, l: 3, f: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 11. What is the units digit of n(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -4728 (c) -0.2 (d) -5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/48)\/((-5)\/2). Let k = 33 + -32. Which is the nearest to 1? (a) k (b) -1 (c) 4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 8 (c) -64\/7 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e8da + -102?\nAnswer: 1e7d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*k + 4*v - 7185, 0 = -4*k + 4*v + 5784. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3, l: 1, d: 3, i: 6}. What is prob of sequence ls?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022178796 rounded to five decimal places?\nAnswer: -0.02218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312400183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - 85\/15. Let t be (-30)\/4*20\/s. Suppose -2*p - c + 45 = -6*c, -5*p - 5*c = -t. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26269582800 rounded to the nearest 1000000?\nAnswer: 26270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 + 1530*f**3 = 0. What is f?\nAnswer: -765, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 185. Suppose -4*y + 5*g = -168, -y + j = -3*g - g. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -35*f**2 + 0*f - 1\/2*f**3 + 1\/12*f**4 + 0. Suppose -28 = -3*j - 4*l, 14 = 5*j - 3*j - 2*l. Determine c(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -17. Suppose -3*v = 12, -5*v - 1 = -m*j - v. Let l be (j - 74\/(-8))*8\/2. Solve 8 = -5*h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 11*v + 2. Let a(u) = 2*u**2 - 7*u - 1. Determine -8*a(f) - 5*i(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106284 or 231?\nAnswer: 106284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135635542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 89?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4306 + 4306. Solve -9*j + 17 + 37 = z for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 16 - 40. Suppose h*l - 272 = -4*d, 8*d - 282 = 4*d + l. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329159 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558767481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2595 + 2600. What is the closest to 0.03 in 0.2, 1\/3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303598487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 7*y**2 - 25*y - 137. Let h be j(-5). Let g = -3 - -6. Suppose l = 5*d - g*l - 175, -3*l = -2*d + h. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 + 3*m**2 + 18*m - 5. Let s be z(3). Let y = 67 - 26. Suppose 5*q + 8 = 33, 0 = 4*o - 5*q + y. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = q + 4*q - 675 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 4*g)*(0 + 1 - 6)*(-3 + 2 + 4).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (2*sqrt(891) + 3)**2 - (sqrt(99)*-1*2)\/sqrt(9))*-3.\nAnswer: -10719 - 357*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 172\/36 + 4\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 5. Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -15. Let g = d + 7. Suppose g*l = 2*l - 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227118605 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/518*(-212)\/3 - -5.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*o - 8*o + 359 + 553 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2069193654 and 1452.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 807 - -260. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**3\/6 - p. Let j(h) = 2. Let d(n) = -2 - 3 + 5 - 1 + n. Let x(w) = -2*d(w) - j(w). Give x(l(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {r: 1, x: 2, q: 1, d: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227137 + -0.162?\nAnswer: -0.389137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10401)\/15)\/((-8)\/5). Let s = m + -434. Is s at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -952.7 + 997. Let b = d - 242.3. Let g = 197.999899 + b. What is g rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 - 11*h - 7. List the prime factors of p(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 162400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 4*m**2 - m + 5. Suppose -248*l + 254*l = 18. What is b(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 6 + -1 + -2. Let v be ((-714)\/(-420) - (-9)\/(-6))\/17. Is g smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 116160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331 or -329?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 2 p when four letters picked without replacement from {r: 4, b: 1, a: 1, o: 5, d: 3, p: 3}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 + x**2)*(3*x**2 - 5*x**2 + 3 + 5*x**2).\nAnswer: 3*x**4 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13155 + 13154. Sort y, 0.7, -3\/5, 0.05, -0.3 in ascending order.\nAnswer: y, -3\/5, -0.3, 0.05, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 114 = 4*d, 5*v - 4*d - 602 = 0. Suppose 265*l + 3410 = -329*l + 649*l. What is the remainder when v is divided by l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 1. Let u(f) = -3*f + 2. Let h(n) = -n**3 - 12*n**2 + 95*n + 165. Let k be h(-17). Let i(g) = g + 4. Let y be i(-11). Determine k*u(d) + y*p(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312 + 3*o + 182 + 126.\nAnswer: 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -5747.\nAnswer: -5747, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g + 576. Let y be (-8)\/6*g\/(-32). Let w(h) = h**2 - 2*h - 26. What is the remainder when w(y) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 122?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101\/20 - 21\/4. Let h = -20.077 - -0.077. Let p = 24 + h. What is the second smallest value in b, -2, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 83. Let v = -71 + d. Solve v*n = 11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b)**34 assuming b is positive.\nAnswer: b**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 + -11 + 9 + (-4)\/(-2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055219 to three dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -233709, -467386, -701063?\n\"Answer: -233677*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16782502 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*l - 2*l - 179 = 0, -2*i + 370 = 5*l. Suppose -255 + i = -4*p. Solve p = 5*m + 2*w, 2*w = m - w - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7672*n**3 + 7676*n**3 - 15346*n**3 + 1672*n**2 in the form g*n**2 + y + l*n + m*n**3 and give g.\nAnswer: 1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033135157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*i + 97 = 1048 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*n + 34, -h - 1 = -0*h + 2*n. Suppose 4*b = h*b - 14. Suppose 8 = -2*p + b. Solve v = 2*z - 1, -5*v - 4*z + 14 = -p*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*z - 25*z - 27*z)*(83*z**2 + 549*z - 549*z) to k*z**2 + q*z**3 + x + c*z and give q.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -81061069 divided by 6869\nAnswer: -11801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -185, -386, -663?\n\"Answer: -38*n**2 - 11*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 2\/3*f**3 + 3*f + 0*f**2 - 1\/12*f**4 + 0. Let v be b(4). Let i(l) = -l**2 - l + 4. Give i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248794219.929188547460811 + 1.929189507460811. Let s = 248794125 + q. Let d = -93 - s. Round d to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(b**3 - 2*b + 2*b) - 4*b**3 + 3*b**3 + 8*b**3 + (3*b**3 + 3*b - 3*b)*(-1 + 5 - 3) to i*b**3 + f + v*b + w*b**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuufudurffuuur. What is prob of picking 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6573 - 1053170236\nAnswer: -1053163663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**0*d))\/(d*d**(-6\/7)))**(1\/15)*d*((d*d**(-2\/13))\/d)\/d*d**(-2\/9)*(d**2)**(18\/13) assuming d is positive.\nAnswer: d**(9488\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnnneh. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g**3*n**2*o + 12*g**3 + 3*g*n**2 - 4*g*n*o + n**2*o + n wrt n?\nAnswer: 40*g**3*o + 6*g + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 198 + 2630 = 0. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-3)\/1 + 4. Suppose 3*p + u = 32. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(245)*-4*-5 - sqrt(245))*-6 + 5.\nAnswer: -798*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/58 - -159\/290. Let f be 9*4\/12 + 12\/(-4). Let g = -128 - -1919\/15. Sort v, f, g in descending order.\nAnswer: v, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 550145*u. Let p(c) = 9*c + 1. Give p(s(w)).\nAnswer: -27*w**2 - 4951305*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2*2\/28). Suppose 5*u = -3*y - 12, -2*u + 0*y - z = -y. What is the tens digit of (-206)\/(-8) - u\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114181544 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2323 + 1023220230?\nAnswer: 1023211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = -3*a, 2*a - 5*x + 3 = -20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - -1) + 66 + -64 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12027 (base 9) to base 15.\nAnswer: 25b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 10*a**3 + 3. Calculate the remainder when j(-1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l + f + 6, -l + 1 = -2*f. Let x(a) = -2 + 0 - 2 - a**2 - 4*a + l*a. Suppose -5*h = -3*h - 3*c - 15, -5*h - 5*c = 25. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**2 - 12*u + 12. What is l(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Let v(o) = -o**2 - o + 2. Let m be v(s). Suppose 3*a = -f + 84, -2*f - m*a + 420 = 3*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-20)\/9 - 0. What is the nearest to -4 in -0.1, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28418 and 14389345.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -5*o**3\/3 + 50*o**2 - 2743. Factor b(t).\nAnswer: -5*t*(t - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.6011 minus 0.212?\nAnswer: -18.8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129862 and 14355?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((35 + -35)\/(0 - -1))\/(-2). Let v(n) = n**3 + 7*n**2 + n + 171. List the prime factors of v(d).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 11. Let v be s(15). Solve -4*l + 8 = -2*x, -x + 4*l - v = l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345315599*d - 10*d**2 + 1345315599*d + 4*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (23 - 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20020 = -8*q - 14*q - 4*q. What is the greatest common divisor of q and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (890\/(-90) - -10)\/(0 - (-12)\/45)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -24*c - 1. Suppose 0 = 2*o - 3*w, -3*o = -w + 6 + 1. Do o and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*((-70)\/25 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(343)*-1 - (sqrt(343) + 1 + 3)) + 0)**2.\nAnswer: 336*sqrt(7) + 12364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321 + 3*b**2 - 183*b - 2*b**2 - 329.\nAnswer: b**2 - 183*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/2 + 5736*j - 843525\/2 = 0.\nAnswer: 75, 3749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(30)\/sqrt(10) - sqrt(3)) - (5 + -4*(sqrt(147) - sqrt(3)))**2.\nAnswer: -1735 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzd when three letters picked without replacement from zdmxjdfjx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.026? (a) 2 (b) -0.9 (c) 3 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (57 - 62 - (0 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-426 - -516) + (-10 - 34)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 11*h**4\/2 + 82*h. Let r(t) = 2*t**2. Determine r(u(i)).\nAnswer: 8712*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/43 - 196\/215. Let x = 1 + 1. Which is the second biggest value? (a) j (b) x (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 4. Let o be w(5). Suppose 2*s + 3 = 5*x, -6*x + 2*x = 4*s + 20. Let l = o - x. Solve 3*v + l*v - 33 = -2*b, 12 = -2*b + 4*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/5)*a**(8\/3))\/(a\/a**(1\/3)*(a*a*a**10)\/a) assuming a is positive.\nAnswer: a**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12870 divided by 15.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -54\/7, 1, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -11445794976?\nAnswer: 11445794977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3006*t + 3008*t + 6, -3*t + d = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 2\/461, 0.212.\nAnswer: -104, 2\/461, 0.212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(3696\/64)\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmemjmmeeememmmjj. What is prob of picking 1 m, 1 e, and 1 j?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - 0.04. Let g = i - 0.44. Put g, 2, -0.1 in descending order.\nAnswer: 2, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhrh when four letters picked without replacement from lgrggrhgrwlglnhlrgg.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 53. Let v = c + 61. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x + 9. Let u(g) = 30*g - 26. Let y(c) = 17*q(c) + 6*u(c). Calculate the remainder when y(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 21*f - 206, -9*f - 2*f + 7*f + 6*f - 4*a = 42 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-15)\/(-18)) + ((-22)\/1 - -33). Let g = -12 + 12.4. Which is the nearest to v? (a) 3\/8 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -530.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, e: 1, i: 1, g: 5, z: 2, s: 1}. Give prob of sequence ri.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 75*g**2 + 5 + 4*g - 74*g**2 + 0 - 4. Suppose 0 = 3*q - q - 10, 0 = -4*u - 3*q + 3. Determine w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p. Let w(v) = 4. Let m(k) = -k**3 + 8*k**2 + 12*k - 22. Let b be m(9). Let z(s) = s + 5. Let g(y) = b*w(y) - 4*z(y). Calculate x(g(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.393 + -9.94. Let g = -0.553 + x. Put g, 80\/7, -1\/4 in decreasing order.\nAnswer: 80\/7, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 2. Let q(t) = -t + 1. Let g(f) = -2*o(f) - 2*q(f). Suppose m = -5*p - 22, -p + m + 4*m = -6. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23648304?\nAnswer: 2, 3, 492673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -54, -80, -106?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n, -5*i - 2*n = -386 - 62. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 24 = d + 16217*z - 16214*z, 0 = -3*d + 4*z + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Suppose 0 = 4*d - 5*c + 16 + 4, 4*c = -4*d + 16. Suppose -4*q + d = -60. What is the greatest common divisor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 5)*(-18 - 29 + 6)*(-4*w + 9*w + 2*w).\nAnswer: 574*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -920 + 924. Solve 10*d + 30 = s*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2282*o**2 - 1693*o**2 + 2641*o**2)*(3*o - 3*o - 2*o).\nAnswer: -6460*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 + 182*r**4 + 533*r**3 - 716*r**2 = 0. Calculate r.\nAnswer: -179, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, -385586 in descending order.\nAnswer: -3, -14, -385586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 2*g, 2*q - 3*g + 4 = 0. Suppose z + 2 = 12. Suppose -q*a = -2*a - z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*l - 24*l - 13*l + 2*l + 2 - 2 + (4*l + 2*l - 4*l)*(2 + 2 - 6))*(-2 + 4 + 0).\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/5*(-1)\/(-8). Let g = 13.3 - 9.3. Which is the smallest value? (a) 0.2 (b) g (c) 2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - v, 2*n + 65*v = 66*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -19*d + 240. Calculate the remainder when 194 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 5. Suppose 16 = -5*f + 1, 123 = v - 4*f. Let x = -108 + v. Calculate the greatest common factor of z and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 7*m + 35 - 22 - 13.\nAnswer: -7*m - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1083328, 2166664, 3249998, 4333330, 5416660, 6499988?\n\"Answer: -i**2 + 1083339*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**2)\/t)**(-4)\/(t**(-1\/3))**21 assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let h(y) = 9*y - 5. Let v(j) = -5*j + 3. Let r(i) = 4*h(i) + 7*v(i). Suppose -3*f + 12 = -0*f. Suppose f = -a + 6. What is a*b(m) - r(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 46*s - 68. Suppose -33 = -w - j, 5*w + 72 - 229 = 3*j. Let z be u(w). What is the highest common factor of z and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 5*l**5 - 3*l**5 - l**5 - 3*l**5 + 3*l**5 + (2*l + 2*l - 2*l)*(-l**4 + 0*l**4 + 2*l**4) + 4*l**5 - 4*l**3 + 4*l**3.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/7, 2, -0.3, -4, 0.2, 3 in decreasing order.\nAnswer: 3, 2, 1, 0.2, 1\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221 + 122111022?\nAnswer: 122022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -202021221 (base 4) to base 5\nAnswer: -13434011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 20*d - 1 - 2*d + d + 2*d + (2 - 4 + 0)*(-2*d + 0 + 0) + (-2*d - 3*d + 4*d)*(1 - 4 + 4).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1019, 0.1, -1, 2\/5, -4, -3.\nAnswer: -4, -3, -1, -2\/1019, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404\/7319 or -1?\nAnswer: -404\/7319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 15*k. Let v(l) = -8*l**2 - 29*l. Determine 7*a(i) + 4*v(i).\nAnswer: -4*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2750\/(-880)*8\/20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123230122 (base 4) in base 10?\nAnswer: -899866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/60 + 446\/8. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biibiiiii. What is prob of sequence ib?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/4 - 25*g**3\/2 - 100*g - 18. Let f(j) = 0. Calculate j.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4491 - -4788. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4720 - -4719.99. What is the nearest to 3.1 in -9, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 + -2429\/13. Let r be (0 - -2) + (-7)\/3. Which is the nearest to r? (a) j (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 4*v**2 + 1. Let u be x(3). Suppose -z = -2*z + 19. Let f = z + u. Solve f = 4*s + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33451692, -33451691, -33451690, -33451689, -33451688?\n\"Answer: f - 33451693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -399.8*4\nAnswer: -1599.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7765, -7821, -7897, -7987, -8085, -8185, -8281?\n\"Answer: s**3 - 16*s**2 - 15*s - 7735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1 - 15\/(-14)). What is the third biggest value in 5, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80511628\/7 - -2418156001\/210. Let m = 13362 - b. Calculate the common denominator of 131\/84 and m.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*3)\/(-2*(sqrt(2)*-2 - sqrt(2)))*-5 + ((sqrt(363) - (1*sqrt(363) + 5)) + sqrt(363) - -2*(sqrt(363)*-2 + sqrt(363)))**2.\nAnswer: 205*sqrt(3)\/2 + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/24)\/(1\/(-8))*((-108)\/(-88))\/3\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*d - 1 = 0, -2*d + 1 = 5*o - 10. Suppose -3*n = -2*h - 18, 10 = 2*h + o*n + n. Sort 2, -5, h.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24228 - -28434. Is 59 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*m - 8, -4*t + 2*m = 6 - 2. Which is smaller: t or -64\/119?\nAnswer: -64\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/363*-3*(-7 - -6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 + 5*u + 6. Let q be k(-4). Sort -2, -6, q in decreasing order.\nAnswer: q, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*(-1)\/(-2))\/((-1)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) - -1*sqrt(360))\/((sqrt(8) - (sqrt(8)*1 + sqrt(8)))*-3).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 15 + i**2 - 15 + (-2 - 3*i**2 + 2)*(-3*i + 3*i + 2*i) - 3*i**3 + 4*i**3 - 2*i**3.\nAnswer: -12*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let m = p + -2. Suppose 197*u - 179*u = 360. Solve -3*l + 6 = m*y - 4, -4*y = -4*l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4, -29*l + 3*t = -28*l - 1812. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 84224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*-0.081435.\nAnswer: 0.0553758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1855691 or -1855692?\nAnswer: -1855692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22878269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*-2 - (-626460)\/11660.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 0*j)*(-4*j**2 + 3*j**2 + 3*j**2)*(-4 + 2*j + 2 - 3).\nAnswer: 4*j**4 - 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*23\/((-1288)\/(-420))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -0.3, -7.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 1 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4026*v**2 + 980*v**2 - 3361*v**2)*(-2*v**2 + 4*v**2 - v**2) as l + t*v + b*v**4 + f*v**3 + a*v**2 and give b.\nAnswer: -6407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 12 = -w. Sort w, 0, 3.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 51*d - 6210. Calculate the highest common divisor of d and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 4*q - 2*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i + 23. What is the tens digit of y(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2 + 1 - 1)*(5 + 18*r**2 - 5)*(2 - 2 + 8).\nAnswer: 432*r**3 + 288*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j + 1. Suppose 2*q = 2*t + 8, -2*q - 2*t = t + 17. Suppose -s - 3 = 3. Let b(a) = -7*a**2 + 6*a - 5. Let k(g) = q*b(g) + s*w(g). Factor k(d).\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*y - 177, -258 = -y - 33*q - 1631 - 670 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbrni. What is prob of sequence zzbr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 21563503.3 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3825\/(-7) + (-5)\/(-15). Let t = 546 + s. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298 a factor of 1200816144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.3. Let z = 25\/38 - 3\/19. What is the closest to z in -3, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let z(h) be the second derivative of h**3\/2 - 63*h. Calculate z(d(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + -17 + (30 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -36) + 32 + (13 - 32) + -166?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8062 - -13543. What are the prime factors of g?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.8082 centimeters to micrometers.\nAnswer: 2758082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2769 = 155*p - 368*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1875*m**5 - 1005975*m**4 - 1495692*m**3 + 1473504*m**2 + 910080*m + 116208 = 0. Calculate m.\nAnswer: -2, -6\/25, 1, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 48 - (1 + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 184 = -2*u. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101934 is divided by 49928?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 83662789 divided by 4\nAnswer: 83662789\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 + 3*d - 8. Let j be l(-2). Let z(k) = 25*k + 42. What are the prime factors of z(j)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1049110835 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4532, -35685, -120248, -284927, -556428, -961457, -1526720, -2278923?\nAnswer: -3244772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -7645?\nAnswer: -7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 142*j**2 - 119*j - 3500. Calculate y(141).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -162, -164, -168?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5800081 - 0.58. Round k to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmpmpfmfm. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.1436734?\nAnswer: 0.1436734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 3\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*x + 15*x, 4*x = -2*i + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975407?\nAnswer: 23, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:28 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 + -152. What is the fourth smallest value in a, 2, 2\/9, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by -24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1024011323 (base 5) to base 9\nAnswer: -4071355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h**(2\/15))**(-15) assuming h is positive.\nAnswer: h**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 0.3, 3\/2, 3, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*r**2 + 1 + 2*r**4 + 16*r**2 + 1 - 3*r**4 in the form v*r + j*r**4 + p + d*r**2 + b*r**3 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -i - 8 - 16, -i - 9 = s for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15242613.\nAnswer: 3, 487, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25568566 and 5886.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010513 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10100011 (base 2) to base 8\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6886858 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 83. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77249902 - 77249771.9999954. Let k = 130 - t. Round k to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11929 by 79.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (1\/(-1) - 3). Let h(w) be the second derivative of 5*w + 3 + 1\/2*w**2 + 1\/6*w**3. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5)\/m)**(-11)*m**(7\/4)\/(m*m\/(m*m*m**(13\/6))))**(-1\/13) assuming m is positive.\nAnswer: m**(-499\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 + -372. Suppose -u*q + 32540 = -23*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3202, 12703, 28492, 50569, 78934, 113587, 154528?\nAnswer: 201757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*g = a - 11, 5*a + 3 = -3*g. Let p be -1 - 14\/8 - a. Factor 0*i - 1\/4*i**5 + 0 + 1\/4*i**3 + 1\/4*i**2 - p*i**4.\nAnswer: -i**2*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/40)\/((-2)\/(-10)). Let t be (-10)\/(-8)*l - 4. Which is the second biggest value? (a) -4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 43, -3, -4, 0, 348, 1 in decreasing order.\nAnswer: 348, 43, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:42 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/6 + 2045\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120980 = -2757*z - 29999 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (1\/7)\/(66\/462). Which is greater: k or 5\/901?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*s + 7, -5*s - 13 + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17369.02kg to micrograms.\nAnswer: 17369020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 - 243. Let d = 269.8 + -156.1. Let u = d - x. Round u to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1431 divide 61278282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0)\/1 + 2. Suppose 0 = 5*c + 2*u - 2, -5*c + m*u - 4 = -2*c. Factor -1\/5*j**2 + 0 + c*j.\nAnswer: -j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8 - q**3 + 3 + 11 + 6*q**2 - 28. Let r(g) = -g**3 + 7*g**2 - 7. Determine -7*m(o) + 6*r(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8316619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r = -121 - 321 - 308 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*a - 61. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 24 = -4*j + 5*x, 55 = 5*j + x. Calculate the remainder when 40 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhddk. What is prob of picking 1 h, 2 d, and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27601415 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 307116 = -13*c. What are the prime factors of c?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-100)*-10 - 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 8*q - q**4 - 2*q)*(-8 - 1 + 0).\nAnswer: 9*q**4 - 63*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115970974.\nAnswer: 2, 61, 1163, 29009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -23862.\nAnswer: 8\/11931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37885, 77982, 118079?\nAnswer: 158176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13 plus -28.592779398?\nAnswer: -30.722779398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/32 and 115\/248976?\nAnswer: 497952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27517692*f**3*v + 515256*f*v + 14*f - 6*v wrt f?\nAnswer: -165106152*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6030? (a) -5\/3169 (b) -2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 145\/(-10) + (1 - -14) + 130\/4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 7*o**2 + 4*o**2 - 7*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -8 - 3) + (2 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 395. Let g(z) = 6*z - 20. Let f(r) = -17*r + 55. Let j(q) = -4*f(q) - 11*g(q). Determine j(t(i)).\nAnswer: -4*i - 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, 187\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/120)\/((-5)\/(-15)). Which is the third biggest value? (a) 30 (b) -3\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20)*21)\/((-3)\/(-2)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3)*3\/(-2). Let l = -2\/39 + -64\/273. What is the third biggest value in x, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4\/5 in ascending order.\nAnswer: -3, -4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10953 is divided by 9229?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.5. Which is the nearest to -2? (a) f (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10967 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -902\/6521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064140021.\nAnswer: 3, 9241, 110527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 - 227.91. Let o = 0.09 - p. Which is the closest to -1\/3? (a) -3\/5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b79 (base 16) to base 5\nAnswer: 324004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/3 - (2 + -4). Let r be -4 - o\/(-2 + 4). Solve g = 6*b - b - 13, 3*b - r*g + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.119 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35610 and 131757?\nAnswer: 1317570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0, -1, -4, -8 in ascending order.\nAnswer: -8, -4, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9105 + -6475. Let d be g\/6 + 36\/(-27). Calculate the greatest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let k(w) = -185*w**2 - 25*w + 2. Give s(k(f)).\nAnswer: -370*f**2 - 50*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*d - 398*d + 305. Put 0, 2, -19, d, -8 in ascending order.\nAnswer: -19, -8, 0, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 593407.\nAnswer: -5\/593407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 25550 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 1\/30*g**5 - 1\/90*g**6 + 7*g**2 + 0*g + 0 + 1\/3*g**4 + 5\/6*g**3. Let k(l) be the first derivative of s(l). Factor k(r).\nAnswer: -4*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f**2 + 72*f**2 + 65*f**2 + 4*f**3 - 213*f**2.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8.86. Let n = 0.121 + t. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*q - 68*q - 73*q + 218*q.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 0, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174120 divided by 607.\nAnswer: 174120\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122852?\nAnswer: 2, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o - y, 3*o - 8 = -3*y + 10. Let a = 5 - o. What is the highest common factor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - (-363)\/77. Solve 2*t + 15 = g, -v*g = 2*t + 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*r + 3*r - 2*r)*(-9*r + 2*r + 2*r) as h + x*r + f*r**2 and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) -1\/7 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 28 = -5*g, 3*j - 7*j = -4. Sort -2, 2, g, -8 in decreasing order.\nAnswer: g, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -1 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 1408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*h**2 + 7742 - 7742 + 2*h.\nAnswer: -471*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 - 17 = 0. Let r(z) = -43*z - 1. Let b be r(-1). Calculate the common denominator of b\/h + -2 - 3 and -29\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/2 + 4*y**3 + y**2 - 4*y - 20. What is the least common multiple of h(6) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 494 - 478. Suppose -n*o + 36936 = 22*o. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7541, -3\/4, -0.4 in increasing order.\nAnswer: -3\/4, -0.4, 7541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 95. Calculate the lowest common multiple of b(20) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8591\/2 - -4296. Let z(a) be the second derivative of -21*a + 0 + 1\/6*a**3 + l*a**2 + 1\/12*a**4. What is z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100011010 (base 2) to base 8\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -321166*w**5 + 153*w**2 - 2*w + 503?\nAnswer: -19269960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 4*b + 1742, b - 870 = -x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopuuuooopoaouuuua. What is prob of sequence ap?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38479, 153675, 345593, 614233, 959595, 1381679, 1880485?\n\"Answer: 38361*k**2 + 113*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - k + 8, 4*v - 22 = -6*k + k. Find the first derivative of v - o + 7*o**2 + 13 + o wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 723704?\nAnswer: 723699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6 + 4*o + 2*o**2 + 11*o - 24*o**2 + 10*o**2 + 3*o**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -0.77. Let i(l) = -2*l**2 + 46*l - 45. Let z be i(22). Which is the fourth biggest value? (a) 3 (b) 0 (c) w (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -0.17283.\nAnswer: 1.82717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 0.055949?\nAnswer: 7.055949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0*n - 2*n = 13, -4*r + 4*n + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*w + 8 = 0, 5*j + 4*w = 9*w + 15. Calculate the lowest common multiple of 16 and (j + -1)\/(7\/518).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/33)\/(62\/(-1023)))\/((-42)\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (1 - -1)\/(-1). Let o(j) = j**2 + 7*j - 6. Let s be o(w). Let d(g) = g + 1. Let q be d(s). Sort 0, -1, q in ascending order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/42*(7 + 1). Suppose -l*v - 42 = -10*v. Solve -1 = -3*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 240792 and 0.1.\nAnswer: 240792.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 19*h**2 - 16*h - 78. Let u be n(20). Let a be 8\/6*3\/2. What is the second derivative of 2*v**2 - 8*v**3 - 4*v - a*v - 2*v**u wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2284506 divided by 24\nAnswer: 380751\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -239*u**2 + 69*u. Let d(y) = 10*y**2. What is f(d(a))?\nAnswer: -23900*a**4 + 690*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 + 114. Suppose -3*w + c = -3. Is (6\/w)\/(-4 + 14230\/3556) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.162 + -9.162. Put -0.7, -2, r in ascending order.\nAnswer: -2, -0.7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-6*a + 5*a + 5*a)*(2 - 3 - 2).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/12*(-7)\/(-8)*(-20)\/(-14)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4154 and -29806.\nAnswer: -12381.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 0*u)*(-3*u**4 - 4*u**4 + 5*u**4) + (-4*u**2 - 6*u**3 + 4*u**2)*(2*u + 2*u**2 - 2*u).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 8:54 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35820 or -35747?\nAnswer: -35747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3)*3\/2. Suppose 4*i + 8 = p*b, 9*b - 3*i - 14 = 4*b. Solve -23 = j - b*g, g - 17 = -j - 3*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16053*q - 16040*q = 4056. Let k = -44 - -107. Calculate the remainder when q is divided by k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -27*t**2 + 14*t + 9. Let y be k(5). Let q = y - -340. Let j be (q\/(-48))\/(2\/(-510000)). Round j to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w = -883*w - 1288 - 336 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*d**2 - 523*d**2 + 1525*d**2 - 479*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 37\/4 (c) -2\/7 (d) -0.1 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2014 = 4*f, -3*f + 2*z = -2*z - 1483. Let a = f + -255. Suppose -2*u + 8*w - 4*w = -a, 5*w - 540 = -5*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053540827 rounded to 5 decimal places?\nAnswer: -0.00535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 7*g**2 - 4*g + 2. Let k be i(-6). Is (715\/k)\/((-1)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 66. Suppose 0 = 4*p - 0 - 8, 5*u - 2*p - 11 = 0. Solve 4*a - 1 = i, k*a - 3*a = -3*i - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 16732 = -4*p, 2*b = -5*p + 3*b + 20916. Let j = p + -1725. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4394583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*z - 48 = m, -z - 56 = -3*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 9:44 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -159*j. Let x(r) be the second derivative of -11*r**3\/6 - 4345*r - 1. Determine v(x(k)).\nAnswer: 1749*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799 = -30*o + 2669. Calculate the greatest common divisor of o and 6206.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155792 divided by 14?\nAnswer: 11128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, -0.44, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19657764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 415100 divided by 35?\nAnswer: 11860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w + 9. Let d be c(5). Let h(m) = 2*m**3 - 3*m**3 + 14 + d + 3*m - 2*m. Let o be (-6)\/(-10) + (-12)\/20. Give h(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3680*n + 1862*n + 1856*n = -950 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 7*d**2 + 2. Let j be w(7). Let v = 4 - j. What is the derivative of -3*x**4 + 4*x**4 + v - 3 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - -1.8. Let u = 6.6 - i. Let h be (-4)\/6*(-2)\/(-8). What is the closest to u in h, -3, -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(10 + 7 + 0)*(l**2 + 6*l**2 + 10*l**2) + 0*l**2 + 2*l**2 + 4*l + 18*l as j*l + i + s*l**2 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-102)*48739\/(-37). Let w = t + -439\/2. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2176 = -2*o - 2180. Put 13, o, -3, -1, -4 in increasing order.\nAnswer: -4, -3, o, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 14 + 4 + a)*(a**3 + 0*a**3 - 3*a**3).\nAnswer: -2*a**4 - 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 196*c**2 - 55*c - 482. Let r be o(65). Solve r = 24*t + 4*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + a. Let c be m(2). Suppose 5*s - 5*k = 8 + 2, 3*s - c = -3*k. Put 1, s, -3 in ascending order.\nAnswer: -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5303318, -5303344, -5303388, -5303450, -5303530, -5303628, -5303744?\n\"Answer: -9*i**2 + i - 5303310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 2*u + 198. Let l be -9*u\/1287*(-1 - 1). Find j such that 0 + l*j**2 + 6\/13*j**5 - 4\/13*j**4 - 8\/13*j**3 + 2\/13*j = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(539) + sqrt(539) + -2 + sqrt(539) + sqrt(539) - sqrt(11))**2) + sqrt(11))*5.\nAnswer: -40115 + 550*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 9*l**2 + 6*l + 10. Let v be 8\/(-6)*15\/(-10). Let k(g) = -5*g + 2. Let t be k(v). What is the remainder when b(t) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvcvcnc. Give prob of sequence vccc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694310.560113 + 694088.56. Let x = d - -222. What is x rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/60*2\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22636 by -4.\nAnswer: -5659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 - -311. Which is the closest to -3\/2? (a) m (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 150 = -36*r + 186 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15910\/14 + (-1 - 8\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Let j(p) be the second derivative of 1\/6*p**3 + 0 - p**q - 2*p. What is the derivative of j(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*j + 2*i, 5*j + 72 = 5*i + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 12*y - 12. Let n be z(9). Suppose 0 = -2*u + 5*u - n. Let a(o) = o**2 - 6*o + 5. Let l be a(4). Sort u, l, 0.\nAnswer: l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*j - 450, -3*j - 228 = -x - 6*j. Suppose r = -5*r + x. Suppose 0 = 3*y - 11 - 19. What is the remainder when r is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002.18571 rounded to the nearest 10?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38 - 492*b**3 + 134*b**3 - 364 with respect to b.\nAnswer: -1074*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u**2 + 4*u - 17. Let i be -9 + (-408)\/(-40) + (-1088)\/40. Let t(w) = 4*w**2 + w - 4. Give i*t(p) + 6*y(p).\nAnswer: -8*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1254 (base 15) to base 7.\nAnswer: 14245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:34 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 = -2*f. Let r(w) = -w**2 - 6*w - 1. Give r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -112. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 726*n - 2148 = 0, -1004*k + 15 = -1006*k + n for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1308 divide 4910232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10247530*v - 4305265*v + 1489069*v.\nAnswer: -13063726*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26.44 - 0.097136534997\nAnswer: 26.342863465003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2007114 and 35\/15387874.\nAnswer: 46163622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94610 - 60136. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3. Suppose -3*i = -4*k - 2, -4*i + k + k - 4 = 0. Let l be o(i). Let x = l - -22. Solve 4*g + g = 3*b - 7, g = -4*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-35) + 46\/14. Solve 3*t - u = -t + 15, 11 = w*t - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-984)\/(-40) + 2\/5. Let m be j\/(-10)*-2*3\/(-10). Is 2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36638734 by -17258.\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**0\/f))**(-1\/21)*(f**(-2\/5))**36 assuming f is positive.\nAnswer: f**(-1522\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -9*x - 672. Suppose 14 = -j + 10, -3*z = -3*j - x. Solve -9*b - z = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 18 = l, 789*l + 6928 = -y + 1090*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265704?\nAnswer: 2, 11, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 18 + 2. Let d(f) = 4*f - 255 - f**2 + 252 + f. Let n be d(h). Sort -0.4, 2, n, -0.1 in increasing order.\nAnswer: n, -0.4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 38384*b - 5*b**3 + 38386*b - 4*b**2 to the form o*b**3 + l*b + f + x*b**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 0, -7, -18, -33, -52, -75?\n\"Answer: -2*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 46416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/4*5*(-169764)\/(-39480)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450 + -338. What is the remainder when f is divided by 0 + 134\/6 + 2\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*k - 36. Let g = -0.38 + -0.07. Let n = 0.05 - g. Which is the third biggest value? (a) k (b) -2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(931)*-2 + sqrt(931) + 3*(sqrt(931) - (sqrt(931) - -1*sqrt(931))).\nAnswer: -28*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 156 and 0.01439.\nAnswer: 2.24484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + m = 17547, -465*m - 29259 = -5*t - 469*m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0*m + 1 - 8*m + 6*m + 0*m. Let a(z) = z**2 - z - 3. Let s be a(0). Let y(t) = -2*t + 1. Calculate s*y(p) + 2*o(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884 a factor of 67788420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v - 55*v - 39 = 54*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -36. Suppose 5*z - o = 46. Suppose -3*b + 7*b - z = 0. Solve -5*i - 5 + 6 = 4*d, -b*d + i = -15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*x - 4, x - 6*x - 5 = 0. Suppose -10*z + 9*z + 4128203 = l. Let j = z - 28203. Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -342, -1059, -2396, -4557?\n\"Answer: -34*m**3 - 4*m**2 - 51*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/29 (b) -0.3 (c) 198\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 40. Suppose a = 3*a - 24. Solve a = -5*u - 4*q - 7, 4*q - y = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**3 - 5 - 4*l**2 + 11*l**2. Let a be y(7). Let o(n) be the third derivative of n**4\/24 + 5*n**3\/3 - 1214*n**2. Determine o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/(675\/(-540))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/5 (b) -5 (c) 1 (d) 85 (e) -100\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-21) - ((-1632)\/56 - (2 + 9)). Solve -29*s = -214 + m for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 3, c: 5, m: 2}. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-715)\/(-143))\/(3\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.947875 rounded to three dps?\nAnswer: -0.948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 28*n + 9 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -1. Let t = 10 + q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198250*p + 99127*p - 7 + 7 + 99111*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -13 - 13\/8*s**2 + s + 1\/4*s**3. Suppose b(j) = 0. Calculate j.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*5*sqrt(28) + sqrt(28) + 5) + 0.\nAnswer: -5 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/25 - 6428*z\/25 = 0. What is z?\nAnswer: 0, 3214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -470*v**2 - 2*v - 1. Let n be r(-1). What is the tens digit of (-1 + 2)\/((-7)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 93, 209, 381, 615, 917, 1293?\n\"Answer: u**3 + 19*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -14*y**4 - 66*y**3 - 78*y**2 - 14*y + 12 = 0.\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82714 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1228 and 454124?\nAnswer: 139416068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 42 = -2*t + 4*g, -117 = 3*t + 3*g. Let p = 54 + t. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u**2 + 2*u - 1. Let t be g(-4). Suppose 0 = -10*h + 20. Suppose h*x - t - 1 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 12*n**2 + 2. Let q be y(-12). What is the second smallest value in 0.3, 0.4, q, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2230?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -207*k + 92. Let z be b(5). Let u = z - -938. Sort 74, u, -3.\nAnswer: u, -3, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -p - 6, 0*p = -2*p - 2*s + 8. What is the first derivative of -6 - y**4 - 12 + p wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 3818?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -28, -2, -5, -2322 in descending order.\nAnswer: 4, -1, -2, -5, -28, -2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(-2) - 1\/(-2). Let z(x) = -x**3 - 9*x**2 + 733*x + 9. Let g be z(-32). Calculate the highest common divisor of g and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 6, h: 7, z: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22384641 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 0)*-42*(-60)\/(-216).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272792\/7 - 39065. Let g = 95 + m. Let p be (-4)\/(-28)*(-1 + -3). Which is the biggest value? (a) p (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 90*q + 315.\nAnswer: -5*(q - 3)*(q + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((192\/(-28))\/(-3))\/(402\/(-469))*6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 2a78?\nAnswer: 2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 k when three letters picked without replacement from kqqqqjjiqqqiqqqq?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28631*c**4 - 71*c**3*k**2 - c**2 + 29*c*k**2 + 13*c + k**2 - 8*k wrt c.\nAnswer: -687144*c - 426*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, d: 1, m: 2, o: 4}. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 13*d + 19*d = -72 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3212507247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -18. Let k = 1510 + -7551\/5. What is the nearest to j in 3\/10, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1159, 1906, 3121, 4810, 6979, 9634?\n\"Answer: n**3 + 228*n**2 + 56*n + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:28 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.108 - 0.088. Let m = -0.019536 + o. Round m to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 29 + 10*l**2 to the form z*l**2 + w + v*l and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1825956\/270 + 3\/((-15)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -16*v + 36 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let r be (1*-9 - w)\/(-2). Suppose 24 = 2*o - r*c, 4*c = -3*o + 16 - 0. Solve -2*f + q + o = 0, -4*q = -6*f + 3*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1481 times -0.13\nAnswer: 0.539253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -5, -10, 2.\nAnswer: -10, -5, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) - (sqrt(75) + (sqrt(75) - (1 + sqrt(75)) - sqrt(75)))**2.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395 and 3871.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/1671845 or 1?\nAnswer: 108\/1671845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033455098.\nAnswer: 2, 13, 39748273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35554, -35599, -35646, -35695, -35746?\nAnswer: -35799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 16?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/23 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*g + 27 - 28 = 0, 5*q = -5*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 2, m: 1, a: 3, u: 9}. Give prob of picking 1 x and 1 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z - 3*r = 32, -4*r = 5*z - 179. Solve 5*i + z = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuooooomo. What is prob of sequence ouu?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.26 (b) -8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3*m + 13. Let h be 1735\/25 - (-3)\/5. Suppose -3*k + h = 11*k. Calculate s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 11 + 111 = 0. What is the common denominator of -1 + 0 - 118\/i and 2\/(-7) - (-3076)\/280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 512493 + -512284.313. Let t = -1.99 - -210.99. Let i = t - b. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:46 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 1731*t + 320722. Determine x(-211).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -634*y**2 + 500*y - 698*y**2 + 457*y**2 - 46*y**4 + 154*y**4 - 601*y**2 + 1404*y**3 - 56 = 0. What is y?\nAnswer: -14, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 55.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 6. Let x(k) be the third derivative of -3*k + 1\/20*k**5 + 0*k**4 + 0*k**3 + 0 + 7*k**2. Determine g(x(q)).\nAnswer: 3*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.567?\nAnswer: -4.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -30*g**2 + 2. Let t(m) = 2*m + 2200276 - 2200276. Calculate t(b(i)).\nAnswer: -60*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-227)\/(-2270))\/(4\/(-30))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117971 is divided by 558961?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5812721?\nAnswer: 23, 252727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -431, -534, -603, -626, -591, -486, -299?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 8445*r**4 - 76365*r**3 - 76615*r**2 + 347880*r + 356580 = 0 for r.\nAnswer: -7, -3, -1, 2, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58144 - 10?\nAnswer: -7.41856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/60 - 5*x**4\/12 + 5*x**3\/3 - 20*x**2 - 304. Suppose 0 = 5*f - 5 - 35. Calculate d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15210)\/(-10920) + (1 - (-15)\/(-12))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 4312*y + 47674.\nAnswer: -2*(y - 11)*(y + 2167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 72. List the prime factors of o.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 1}. Give prob of sequence qql.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2833*s**3*y**3 - 105*s**3*y**2 + 5*s**3*y - 5*s**2*y**6 + 5*s*y**2 + 10*s wrt y.\nAnswer: 16998*s**3 - 600*s**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 537 - -156. Let p = n + -1024. Let v = 331.0000351 + p. Round v to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 28*u + 8. Let q be m(28). Suppose 2*d - w + 12 = q, -2*d - 12 = -5*w. Is d greater than 1\/138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 10. What is h(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Suppose -15*b + 54 + 21 = 0. Let r(d) = 39*d - b + 6 - 25*d + 17*d + 6*d. Give r(t(c)).\nAnswer: -74*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 + 43. Let l(f) = -f**2 + 84. Calculate l(v(o)).\nAnswer: -o**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 9. Suppose 4*v - 2*i - 9 = -7*i, 18 = 5*v + 4*i. Let g(r) = 2*r - 17. Calculate v*g(z) + 11*b(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 168375 = t, -3865*t + 5*o - 841775 = -3870*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19*q**2 + 27075*q + 54099. Calculate w(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-45) - 20\/(-45)) + (-14)\/54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - 321\/(-21). Suppose 3*z - q = 3. Let o be (-1)\/(z\/(-3))*2. Sort o, 5, 4.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50857 divided by 697.\nAnswer: -50857\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 33 = -3*j, -4*n + 18 = -9*n + 4*j. Let l(s) = -3 + 10 + 4*s**2 + 6*s - 3*s**2. Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d - 1. Let k be x(1). Let q be (-14)\/(-10) - 6\/k. Suppose -r + 3 = q*y, -5*y - 34 = -4*r + 4. 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: Suppose 0*n = 2*i - 2*n - 20, -i = -4*n - 16. Suppose 6*d - i - 10 = 0. Factor -3*j**2 + 0*j**3 + j**3 + 2*j**d.\nAnswer: 3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79050 divided by 17.\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Let w = -4163.9968 - -4161. Let x = w + u. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 11*j**2 - 26*j + 7. Give w(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - 3\/(-6)*6. Let r = q - -13. Is r smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 56675.\nAnswer: -4\/56675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 787*r + 4 - 129*r.\nAnswer: 658*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67517 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-2408)*-8*3\/18?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 18. Let s = 51\/4 + z. Let o be (5 + -7)\/(-2) + (-8)\/4. Is s at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 2*f - 5. Determine d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -76.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*a = 88, -a + 5*a = 16. Let v = 62 + k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 n, and 1 j when four letters picked without replacement from jnenjjnjjn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006531484 to 5 dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33436.84029 rounded to the nearest one hundred?\nAnswer: 33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**3 + q + 5*q**3 + 0*q)*(-1326 + 2068 + 3220 + 611) to the form p*q + x*q**2 + r*q**3 + t and give p.\nAnswer: 4573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 106671 = -31*g + 106454, -5*g - 35 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 0.03. Let i = -0.58 - f. Which is the third biggest value? (a) i (b) -3\/8 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23019.732 milliseconds to minutes.\nAnswer: 0.3836622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6694 to two dps.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56944, -227890, -512820, -911734, -1424632, -2051514?\nAnswer: -2792380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6696 = -300*k + 35487 - 1191 for k.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4353653 (base 8) to base 9\nAnswer: -2172007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbvb when four letters picked without replacement from bbbbvbbbvvb.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3628944406.\nAnswer: 2, 17, 19, 29, 97, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)*5\/(-1). What is the remainder when (0 + (-48)\/(-10))*q is divided by 1\/4 - 102\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 22*i - 39. Give u(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 1. Let v(u) = u**2 - u - 2. Let q be v(3). Suppose i + 96 = q*i. What is the remainder when i is divided by w(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose -z*s + v = -2*v, -4*v + 8 = -2*s. Let y be (-50)\/s*48\/(-40). What is the greatest common factor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - -152?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -19. Factor -5*v + 17*v**3 + 5*v**4 + v - 7*v**d - 5*v**2 - 6*v.\nAnswer: 5*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -4*b. Suppose 3*j + b*j = 120. What is the highest common factor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697327.\nAnswer: 4697327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 1615435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8967649.02 + 0.369\nAnswer: 8967649.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8590*u**3 + 4440*u**3 + 4156*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyye when four letters picked without replacement from {h: 3, e: 1, j: 1, y: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywywyyyw. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/11 - 106*s**2 + 21602*s\/11 - 20434\/11 = 0.\nAnswer: -601, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22555481789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1138355*x**3 + 20*x**2 + 2921.\nAnswer: -6830130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 44 + -3 + -16 - -38.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 489 and 18908.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36075*b**2 + 13536*b + 3?\nAnswer: 72150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g + 1. Let y = -14 + 15. Calculate the remainder when 35 is divided by c(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 112. What is t(61)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 4*r. Let d = 3 - r. Suppose -28 = -d*t - 0*t. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*u**3 - 5*u - 37736*u**2 - 37731*u**2 + 75468*u**2.\nAnswer: -358*u**3 + u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.7 (b) -0.69 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (26\/39)\/((-140)\/(-1890))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2406683, -4813365, -7220047, -9626729?\n\"Answer: -2406682*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 + 3?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 189*i**3 - 36 + 21882*i - 188*i**3 - 16*i**2 - 21897*i. Determine w(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212589187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/26*2)\/(-96 - (-92426)\/962)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/503415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y + 1. Let z(x) = -2*x**2 + 3*x + 2. Let s be z(-2). Let b = s - -8. Let i(a) = 3*a**2 + 2*a - 3. What is b*i(l) - 10*v(l)?\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 27 - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 2*b**2 - 3 - 10*b**3 - 13699*b + 13697*b + 6*b**3 - 104*b**4 as y*b**4 + s + c*b + a*b**3 + r*b**2 and give y.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Let g = 1690 - 872. Let v = -817 + g. Sort v, f, 2 in decreasing order.\nAnswer: f, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*q + 876217 = 887319 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 981 - 956. What is the remainder when 260 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 44*l**3 - 484*l**2.\nAnswer: -l**2*(l + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41882*f**4 - 545006*f**2 wrt f?\nAnswer: 1005168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -173732 and -12512150.\nAnswer: -12685882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4.\nAnswer: -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:46 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45281, 44695, 43107, 40019, 34933, 27351?\nAnswer: 16775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(224))\/(-3*sqrt(32)\/sqrt(4)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + -1) - (5 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/(-4))\/17*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(21\/4)*k*k\/((k\/k**(-29)*k*k*k)\/k*k) assuming k is positive.\nAnswer: k**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -23. Suppose -u = r - 7. Let t = -12 - r. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((236\/(-116))\/1 - -2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 19 - 16*d)*(0*d - d - d) as z*d + y*d**2 + s and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (-3*sqrt(272) + 2 + sqrt(272) + 5*(sqrt(272) - (sqrt(272) + -2) - sqrt(272)))**2 + -2 + 5.\nAnswer: -672*sqrt(17) + 13472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = -4*o. Let w(a) = 6*a**2 - 3*a - 3. Let y be w(-2). Suppose o*b - y*b = -32. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -10 + 23\/20*s**2 - 3\/5*s + 2\/15*s**3. What is y in o(y) = 0?\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81999380 to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5545543, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - 9*x + 9*x)*(-1 + 7 - 1)*(6*x + 2*x + 0*x) in the form n*x + g + c*x**2 and give c.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852963 to the power of 1\/2, to the nearest integer?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -94 + -5 - -17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1149878 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 78\/(-28) - -1*29550\/(-700)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 + -a650?\nAnswer: -a5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*f - 18, 4*g - 3*f = -15 - 0. Let i be g\/(80\/25 + 0 + -3). Is (i\/9 - -3) + (-5750)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*z - 10*z + 523 - 216 - 4207 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from jwvjwwrew.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-93)\/(-12) + -4. Suppose -3*y = 2*n - 10, n + 5*y - 14 = -n. Sort f, 1\/2, n in ascending order.\nAnswer: f, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 167*a**3 + 5*a**2 - 16*a + 13. What is the remainder when j(1) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 5273?\nAnswer: -5271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37001, 36989, 36989, 37007, 37049, 37121, 37229?\nAnswer: 37379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**3 + 28*p**2 - 2. Let q(z) = -25*z**3 - 139*z**2 + 11. Let l(m) = 2*q(m) + 11*r(m). Find o, given that l(o) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/20 - 11*b**4\/12 - 11*b**3\/6 - 15*b**2\/2 - 31*b. List the prime factors of i(-12).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 4, 1\/2, 4.1, 0.1, -0.1, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 - q + 293. Let v(n) = 3*n**2 - n - 3. Let x(o) = -h(o) + v(o). What is the derivative of x(j) wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*i - 52003 = 177677. Calculate the highest common factor of i and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.89 + -9. Let y = f - -1.11. Let j = y - 1.06. Which is the second smallest value? (a) j (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36699666 divided by 5153?\nAnswer: -7122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*s + 211 - 7. Let p(r) = 4*r**2 + 9*r - 4. Calculate p(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from cllhcmmmmlmmmml?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 15*p = 79 + 848 + 59 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22*f**3 - 146*f**2 - 258*f - 76. Let q(j) = -67*j**3 - 437*j**2 - 775*j - 226. Let h(c) = -2*q(c) + 7*z(c). Factor h(s).\nAnswer: -4*(s + 2)*(s + 5)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 - 3*y**4 - y**4 + (4 + 3 + 1)*(6*y**3 - y**4 - 6*y**3) to k*y + v*y**2 + n + j*y**3 + w*y**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:22 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28803779.\nAnswer: 28803779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 1, q: 4, k: 2, n: 1, m: 2}. Give prob of picking 1 q, 1 k, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 11*o**3\/4 + 10*o**2 + 7*o.\nAnswer: -o*(o - 14)*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -31*s + 42. Let f(m) = 12*m. Give f(q(v)).\nAnswer: -372*v + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33\/7 + -257\/56. Let g(r) be the third derivative of 1\/120*r**6 + 0 + 1\/3*r**3 + 0*r**5 - y*r**4 + 0*r + 2*r**2. Let g(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.2628.\nAnswer: 1.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/19)\/g)\/(((g*g**(2\/7)\/g)\/g)\/g)*(g**0*g*g)**33*((g**(-1))**(-1\/46))**(-1\/36) assuming g is positive.\nAnswer: g**(14670371\/220248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Let c = 58 - 57.975. Let b = 0.025 - c. What is the closest to -1 in -1, n, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3550888 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 39*x**2 + 690*x - 29. Determine o(-15).\nAnswer: 1771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + 335)\/(12 + (-110)\/10) is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 8*c. Let u be (-3)\/((-9)\/21) + -1. Determine z(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:02 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9981 + 259457\/26. Calculate the common denominator of ((-9843)\/772)\/(42\/16) and m.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 214*m**3 - 804*m**2 + 976*m - 384 = 0 for m.\nAnswer: -12, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 80 = -4*k. Let i be (-36)\/16*k\/(-6). Let i*n**3 - n + 22*n**3 + 16*n**2 - 16*n**4 + 7*n - 22*n - 12*n**5 = 0. What is n?\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -71*j - 2. Let k(n) = -n**2 - 3*n - 3. Let c(v) = 4*v**2 + 7 + 4*v**2 - 4*v**2 - 3*v + 10*v - 2*v**2. Let y(i) = -3*c(i) - 7*k(i). Calculate y(o(p)).\nAnswer: 5041*p**2 + 284*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1059 + -899. Suppose -r - 3*f = -5*f - 25, 5*r = -3*f + 73. Let o = 3 + r. Calculate the highest common divisor of o and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 12 (b) 2\/9 (c) -24 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 23*z + 28929. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 4 - 4)*(0 - 3 + 2) - 2 - 5 - 5)*(-11*c + 23*c + 41*c) as w + v*c and give v.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 5. Let k = -21 + 16. Let r be q(k). Suppose r*d - 4*s = -35, -d - 14 = 2*d - s. Sort 5, -4, d.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6489 + -155605\/24. What is the common denominator of 7\/12 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 5 + 9)*(0*f + 0*f + 12*f).\nAnswer: -264*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 536716019 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + f + 121, 0 = -y - f + 24. Suppose 0 = 2*w - z - 121 - y, -4*z = -16. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3945, 12626, 26043, 44196, 67085, 94710?\n\"Answer: 2368*a**2 + 1577*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {s: 7, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2035)\/(-110))\/(((-3)\/8)\/((-57)\/(-76)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 943 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/9 + (-2056)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964167 rounded to the nearest ten thousand?\nAnswer: 9960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 4*g + 9*g**2 - 1.\nAnswer: 9*g**2 + 4*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c + 100. What is the units digit of j(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44696 times -11092?\nAnswer: 495768032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8900\/49, -2, -1, -17, 8 in decreasing order.\nAnswer: 8, -1, -2, -17, -8900\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01564 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 53*t + 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125329573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92431, -184875, -277319, -369763?\nAnswer: -462207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 + 21\/9. Let f(l) = l + y*l - 2*l. Let h(u) = 7*u**2 - 13*u**2 + 2*u**2 - 13*u**2 - 9*u**2. Calculate f(h(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -558\/5. Let t = 542 - 299. Let p = t + -2191\/9. Which is the closest to 0? (a) l (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14*t = -11*t - 1115, 0 = 5*t - 5. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2047872031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/678 and (-6 - -1)*(-2)\/125 - (-3819)\/9450.\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, and 2 u when four letters picked without replacement from pxgsxpuxcscxsggcs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -622*z**2\/19 - 1220*z\/19 + 48\/19.\nAnswer: -2*(z + 2)*(311*z - 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)*(-9)\/(-15) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-420)\/45)\/((-4)\/3). Let d(u) be the third derivative of 5\/96*u**4 - 1\/840*u**a + 1\/12*u**3 + 0*u - 1\/480*u**6 + 0 + 1\/80*u**5 - 2*u**2. Factor d(r).\nAnswer: -(r - 2)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 291, 31, -479, -1323?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-120)\/154)\/((-18)\/63) and -41\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -5 + 22\/5. Which is the nearest to 0? (a) 1\/6 (b) z (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cf6 (base 16) in base 10?\nAnswer: -11510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -1\/40*n**5 + 0*n + 0 - 1\/40*n**6 - 1\/140*n**7 + 0*n**3 + 0*n**4 - 21*n**2. Determine o, given that h(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/6*(-114)\/(-228)*46.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l - 2*l)*(-2 + l + 2) + l - l - l**2 - 6*l - 15*l - 37*l - l**2 to the form r + d*l**2 + k*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7124 + 7124 + 610*n - 6*n**2 to x*n + t + v*n**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36084, 2, 1, 0.\nAnswer: -36084, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10512925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(48))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 - 2*f - 11. Let t be p(5). Let u(j) be the third derivative of -3*j**2 - 1\/24*j**t + 0*j + 0 + 7\/6*j**3. Calculate u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -524, -529, -544, -575, -628, -709, -824, -979?\n\"Answer: -r**3 + r**2 - r - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c - 11. Let p be n(5). Let k = 12 + p. Suppose k = -3*m - 8. What is the second biggest value in m, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6 to 1 decimal place.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 983.9386g?\nAnswer: 983938600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Solve 0 = 3*u + 2*u + l - b, 0 = -2*u + 2*l - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -31.25 (b) -2 (c) -504 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44*(-7)\/3234)\/((2\/2)\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2769042964.\nAnswer: 2, 43, 16099087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*a**6 - 5*a**5 + 2*a**3 + a**2 - 45295*a wrt a?\nAnswer: 20400*a**3 - 300*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -20, -19, -18, -17, -16?\n\"Answer: x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = f - 0*f - 5*z, -204407*z - 8 = -5*f - 204405*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:35 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -176*p**6\/15 + p**5\/10 - 141*p**2 - 39*p - 2. Find the first derivative of d(o) wrt o.\nAnswer: -1408*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h - 6. Let q(r) = r**2 + 8*r - 15. Let a be q(-10). Is l(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931.8059 rounded to the nearest integer?\nAnswer: -932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18001890 and 6390?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 20, 39, 58, 77, 96?\n\"Answer: 19*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*h + 51 = 0, 0 = 4*x - 2*x - 2*h - 26. Let q = -58 + 61. Suppose -q*n + 36 = 3*n. What is the remainder when x is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/4)\/(36\/(-2160))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -170, -285, -400, -515?\n\"Answer: -115*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 530 + -78. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (74\/(-111))\/(1\/3). Let y be w\/(25\/60 + 18\/(-24)). Solve -2*x - 4*m = 2*x + 8, 3*m + y = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -0.053, 23\/11, -5?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -4136\nAnswer: -18\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-56*(-6)\/(-32)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 6765.\nAnswer: -2\/2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 610655?\nAnswer: -610653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865168 is divided by 1445.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 492919 and 547.\nAnswer: 493466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:25 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4\/3))\/(a\/a**9*a*a))\/(a**(-3)*a**(-8)) assuming a is positive.\nAnswer: a**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 336, 659, 1010, 1389, 1796, 2231?\n\"Answer: 14*g**2 + 281*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + 71*h + 86. Determine b(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 6. Let o(m) = 1292*m**2. Give o(v(r)).\nAnswer: 11628*r**2 - 46512*r + 46512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, 1, -42, 736, 0 in decreasing order.\nAnswer: 736, 1, 0, -3, -23, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8026 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2884 + -2883.489. What is a rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 1000645?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5428015594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -25. Suppose -2*w = w - 12. Let j(b) = -b**3 - 4*b**2 + 5*b - 3. Let k be j(-5). Put k, l, w in decreasing order.\nAnswer: w, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Suppose 0 = -2*j - 3*j + a*y - 121, 9 = -3*y. Let b = j + 153. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2198*b**4 - b**3 + 6664*b**2 wrt b.\nAnswer: -52752*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u**(-26)*u*u))\/u*u*u)\/u**1 assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176619 and 758004?\nAnswer: 394920084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-6\/7)*h)\/h*h\/(h\/h**(-2)*h))**26)**(-32) assuming h is positive.\nAnswer: h**(10816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 11*u + 303. What is the nearest to -1\/8 in -0.1, u, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6 + 23*w - 32*w to the form j + g*w and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2202.\nAnswer: 15414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let f be 22\/(-6) - k\/6. Let h = f - -8. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33044 (base 10) in base 2?\nAnswer: 1000000100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149.934 years in centuries?\nAnswer: 21.49934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/392*-1*8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2656 and 2562044.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -0.5.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:27 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -7 (b) -4\/7 (c) 3\/17 (d) -45 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4441*x - 111006. Determine c(-25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 3, 1, -1, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 + v + 1\/24*v**4 + 0*v**3 - 75*v**2. Let d(f) = -281*f**2. What is c(d(j))?\nAnswer: -281*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3\/5 - 40212*d**2\/5 + 281312*d\/5 - 241104\/5 = 0.\nAnswer: 1, 6, 10046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 15*d - 180 = 0, 4*b + 3602 = -3*d + 3557 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 12*c**2 - 14*c + 5. Let t be k(-13). Suppose -21*m = -t*m - 15. Solve 0 = 2*w - 2*f + 14, -3*w + 6 = -m*f + 33 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8\/9)*n*n**19)**(3\/5))**(-3\/46) assuming n is positive.\nAnswer: n**(-86\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p - 126 = -81*p. Solve p*u - 7*u = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)*y**8)**31 assuming y is positive.\nAnswer: y**(-217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(4320)*2 + sqrt(4320) - sqrt(4320))*-1)\/(3*sqrt(810) + sqrt(810) - 1*sqrt(1210)))**2.\nAnswer: 6912\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109500 = 18*l - 129594. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 1. Let h(c) = 9*c**3 - 7*c**2 + 2*c + 2. What is -h(n) + 2*i(n)?\nAnswer: -13*n**3 + 7*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1036\/1406)\/((-102)\/323)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30549 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34337 + -24290. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 4*z + 20, -3*y - 15 = -3*z. Suppose 3*r - 5*r - 6 = y. Put -1, -2, r in descending order.\nAnswer: -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 0. Let n be 3\/(-27)*-75*p\/(-2). Which is bigger: n or -51?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 6*v**2 + 5*v - 4. Let n be 0\/(-5) + -1 + -6. Let f(u) = -u**3 - 4*u**2 + 13*u + 43. What is the remainder when x(n) is divided by f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728911138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 - 12*g**2 + 370*g - 146. What is f(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f. Solve -4*i - 3*n + 8 = -7, f = 5*i + n - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1135.97784 to the nearest 10.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2098\/3 + -6293\/9. Let h(q) be the first derivative of -8\/27*q**3 - 24 + 2\/15*q**5 + 2\/9*q - 2\/9*q**2 + x*q**4. Find m such that h(m) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154917109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * 467.\nAnswer: -16.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9) - (-3318)\/108)*-2 + -8338 + 8348\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/54*-209*10\/110.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29495 is divided by 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2886007?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2718)\/4)\/3*(-226632)\/60705*25\/(-140).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -130\/7, -30 in decreasing order.\nAnswer: -2, -130\/7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244621 + -244527.9896. Let v = k - 93. What is v rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*z - 8*z - z**2 - 2*z**2.\nAnswer: -3*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17123081.\nAnswer: 53, 323077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 102*m**2 + 18549*m + 87615 = 0. Calculate m.\nAnswer: -177, -165\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2. Let x(j) = -6*j**2. Let r(z) = 2*g(z) - x(z). Let b(c) = 7*c - 7*c + c**2. What is r(b(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158840274 by 6.\nAnswer: 26473379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 + 1. Let r(u) = 3*u**3 - 25*u**2 - 3. Let f be (-72)\/(-14) - 3 - 12\/84. Calculate f*r(t) + 7*i(t).\nAnswer: -t**3 + 6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21466 - 21464. What is the lowest common multiple of 3115 and s?\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3626051.4 milliseconds?\nAnswer: 1.0072365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.65 * 0.5.\nAnswer: 0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f = -3*r + 91, -5*r + 143 = -4*f. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 836*q - 10. Let y be r(1). Suppose 0 = 5*u - 3*n - y, 4*u - 499 - 157 = 4*n. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 + 3*l**4 + l**4)*(3 + 4 - 4 + (-4 - 4 + 3)*(-1 + 4 - 4) + 4 - 3 - 2)*(0 + 0 - l)*(8 + 1 + 0).\nAnswer: -504*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6102\/(-78) - ((-42)\/13 + -12*(-38)\/152).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 17*v**2 + 13*v - 26. What is h(5)?\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18937 + -10591. What are the prime factors of k?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011000111111010 + 1100010?\nAnswer: 10110011001001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468480?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(-24))**(-20) assuming a is positive.\nAnswer: a**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 55*p**2 - 40*p - 100.\nAnswer: -5*(p - 10)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -2060\/9?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y**2 - 4*y + 4. Let b be (-8)\/6*-1*(-6)\/(-2). Give d(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 140 (c) -0.5 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 414\/1129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 7*y**2 + 7. Suppose -f = 4*s + 964, -3*s + 2*s + f = 236. Let r = 233 + s. Calculate j(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236831 and 20125.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 6. Let m be (1 + (-45)\/25)\/(8\/4220). Let k = m + 422. Give j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47310\/(-76360)*(-4)\/38\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {s: 6, u: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 10. Let f be m(8). Let g(q) = -2*q - 3 - f + 2. What is the remainder when g(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - f = -21, -96*y + 53 = -79*y - 3*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -348, -480, -764, -1206, -1812, -2588?\n\"Answer: -h**3 - 70*h**2 + 85*h - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let w(o) be the second derivative of -11*o**4\/12 - 6*o. Calculate r(w(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10435168 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.3 * -2120.\nAnswer: -28196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -96. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 76 = -2*g - 3*c, 5*g - 2*c - 194 = 0. Let p(u) = -2*u + 5. Calculate the remainder when g is divided by p(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:15 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - t = 10 + 195, -i + 3*t + 115 = 0. Let h = i + -51. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.39. Let z(v) = v**2 - 2*v - 2. Let i be z(2). What is the smallest value in i, 6, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvvkvvvkvvkvkvvvvvv. Give prob of picking 1 k and 1 v.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.53 and -8405?\nAnswer: 4454.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -18*v + 8. Let b(s) be the third derivative of -s**6\/120 - 3*s**5\/20 - s**4\/4 + 5*s**3\/2 + 5*s**2. Let n be b(v). Are n and 1\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:43 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njtj when four letters picked without replacement from {t: 3, n: 4, j: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/8 - c**3\/2 - 2*c**2. Let y be f(2). Solve -4*t + 0 = -2*a - 2, -2*a - 5*t = -y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 40*h**2 - 280*h + 377. Calculate d(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - (1 - -1))) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3535684 (base 9) to base 8\nAnswer: 7231162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(10 + -8). Suppose -6*t + 6 = -x. Suppose 3*o - 17 = 1. Solve 5*j + p - t = -2*p, o = -2*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-3)*(-9)\/(-6). Let p = n + -10. Let i = 19 + p. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510055 and 7657.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1861 + 13*u**5 + 32*u + 1861 wrt u?\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*r - 2*n, 4*r + n = 6*n - 28. Let k be -5 + 9\/3 + (2 - 3). Let v be 2*44\/r*k. Calculate the greatest common divisor of 220 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5414.96 rounded to the nearest ten?\nAnswer: -5410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-3) - 2\/(-6). Let s be j\/4*(-4)\/(-2). Suppose -4*y - 3*h + 26 = y, -2*y + 10 = h. Sort y, s, 0 in decreasing order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 623*j**3 + 640*j**3 + 642*j**3 - 1904*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + o + 1. Let p(m) = -m - 2. Let x be p(-3). Let b = x + 1. Suppose -w - b*w = -c - 1, -3*w - 3 = -3*c. What is i(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*i = 207*i - 756 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 4*b - m - 37, 0 = -4*b - 4*m + 256. Suppose 42*p + 54*p = 1572 + 1404. Calculate the greatest common factor of p and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 59. Let i be a(8). Suppose 3*q - 2*l - 789 = 0, i*q = -3*l + 579 + 755. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6\/5, -0.1, -1\/3, 0 in ascending order.\nAnswer: -1\/3, -0.1, 0, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 49*n + 78. Let k be q(7). Solve -88*g + k*g - 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/13 + (-19272)\/100594. Which is the third biggest value? (a) 0 (b) f (c) 3\/2 (d) 0.4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/((-132)\/(-18))*6\/(-3). Find the common denominator of -25\/2 and 952\/(-14)*(57\/(-20) - n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 14*p + 7. Give n(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 1 + -3 - (sqrt(612) + 4*-1*sqrt(612))) + -3)**2.\nAnswer: -240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/120 + 11*h**5\/60 - 1953*h**4\/8 - 4690*h**2. Find the second derivative of z(p) wrt p.\nAnswer: -6*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = -6*o. Solve o*r - 5*z - 5 = 0, 4*r - 33 + 8 = -5*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2779950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 10*s + 11*s**3 + 20*s - 8*s**3.\nAnswer: 4*s**3 + 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 19 - 12)*((1 + 1 - 4)*(-2*y + 4*y - 3*y) + y + 4 - 4 + (0 + 0 + 2*y)*(4 + 32 - 11)) to x + d*y and give d.\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-27)*-3*(0 - -3). Let u be d\/(-2) + 2 + -3. Factor -1\/4*k**2 + u*k + 0.\nAnswer: -k**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 10121, 4, -2, 1, -19, 2 in descending order.\nAnswer: 10121, 15, 4, 2, 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1001 = 7471. Calculate the least common multiple of 20 and i.\nAnswer: 12940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 5*p**4\/8 - 10*p**3\/3 - 2*p**2. Let y(h) = -h + 1. Let a = -40007 - -40006. Determine a*x(b) - 20*y(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((((sqrt(833) + 0 + sqrt(833) - sqrt(833)) + sqrt(833))*-3 - (4 + (sqrt(833) - (sqrt(833) - (sqrt(833) + 0)))))**2 - 3*sqrt(833)*-3*-1) + -3) + 0.\nAnswer: 1974*sqrt(17) + 244980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1342 (base 16) to base 2.\nAnswer: -1001101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2996 and -173\/17976.\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9020178 - -1?\nAnswer: 9020179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004711072 rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59065758 and 9844293?\nAnswer: 59065758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405.\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216891348?\nAnswer: 2, 3, 29, 499, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5677 + v**3 + 5677.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {s: 1, v: 2, e: 1, d: 5, m: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458 - -456. Let p be (3*-1)\/((-45)\/6). Which is the third biggest value? (a) -6 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 107. Is 42\/(-18)*t*(-3 + 123) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 - ((-20 - -7) + 8). Suppose 0 = h - 2*f - 1, h + 5*f = g - 1. Solve 28 = -h*a - 3*o + 7, -2*o = -a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -4 (c) -1 (d) 14.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -2*a - 57, 3*f - 4*a = 25 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 divided by -205?\nAnswer: 501\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u**2 - 451*u - 1. Let j(r) = -3*r. Determine j(d(k)).\nAnswer: 72*k**2 + 1353*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r + 2. Let w be (10\/3)\/(24\/36). Solve w*p - 9 - r = 2*q, q = 4*p - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(7))**2 - (sqrt(7) - (sqrt(28))**2*-4).\nAnswer: -252 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/441 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -181?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f**2 - 213*f**2 + 2*f**3 + 253*f**2.\nAnswer: 2*f**3 - 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3311\/(-301) - (0 + -999)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 1:15 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 2*f + 4. Let z be n(3). Let i be -5 + z + (1 - 3). Suppose -x + 4 - 7 = 0. Which is the smallest value? (a) i (b) 3\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:09 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 + 8*b + 3. Suppose 4*u = 3*u - 133. Let m = -91 - u. What is the remainder when m is divided by x(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 5. Which is greater: 16 or j?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3806, -7652, -11512, -15392, -19298, -23236, -27212?\nAnswer: -31232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(-12)\/14. Let l = 1.105 + -3.105. Sort l, -1\/5, n, 3.\nAnswer: l, n, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 9. Let a(m) = m - 5. Let s(q) = -11*a(q) + 6*p(q). Let v be s(-8). Suppose -3*w - v = -188. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33974 + -2991. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - -81. Is 36 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + 5 - 5)*(-2 - 4 + 2)*(-1 - 3*w + 1).\nAnswer: 12*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*m = 3*s - 13, -2*s + 4 = 3*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 2. Let d be c(1). Suppose -5*p = -5*j + j - d, 3*p + 4 = -4*j. Is j bigger than 5\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/(-4) + 10 + -15)\/((-576)\/384).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + g - 2 - 2*g + 4 - 4 + (-14 + 8 - 9)*(-3*g + 0*g + 2*g) + 4 - 4 + 2*g + (-2*g - 3*g + 3*g)*(1 + 3 - 2) to the form k + y*g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14771 + 5792. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -57.72411143303.\nAnswer: 53.72411143303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -46.6638 and 214.7.\nAnswer: 168.0362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397*s**5 - 1245*s?\nAnswer: 7940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 166*p**4 + 299*p**2\/2 + 1235. What is the second derivative of u(v) wrt v?\nAnswer: 3984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*g + 48*g - 5 + 4.\nAnswer: -54*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/188 and 63\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235384137788474.00000064 + -235384198319454. Let b = j + 60531009. Let a = b + -29. What is a rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5))**(-10\/13)*t**28\/t*t*t**(2\/35) assuming t is positive.\nAnswer: t**(12696\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/3)*(-633)\/24265*(-10)\/3?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 1, p: 5, s: 3, u: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -487 - -923. Suppose y - u = 115, -5*y + g = -4*u - 143. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31.7 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 - 34*b**2 + 1 - 19*b**2.\nAnswer: -53*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:52 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6067 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a + 1)*(491602*a**3 - 491602*a**3 - 16902*a**4 + (2*a**4 + 0*a**4 - a**4)*(1 + 0 + 0) + 0*a**4 + 0*a**4 - 2*a**4).\nAnswer: 16903*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -423? (a) 2 (b) 1\/5 (c) 3\/2 (d) -3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10808 + 10811. Solve 0 = -3*x + o*p - 9, 4*x - 2*p = -p - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 4*h + 402. Let v = h - -138. What is the highest common factor of v and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, l: 1, v: 7}. Give prob of sequence lf.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35130745\/3431484 - 5495\/6052. Let u = 2\/567 + m. Sort 0.5, u, 5 in descending order.\nAnswer: u, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1 - (-2)\/6. Is 0 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-15))\/(b*b**(3\/5)*b) assuming b is positive.\nAnswer: b**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 6)*(-2)\/(-3). Let j(h) be the second derivative of h**4\/12 - h**3 + 4*h**2 - 3*h. Let q be j(6). Solve -q = -4*p + m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1757 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*v**5 - v**4 - 203*v**2 + 3*v wrt v?\nAnswer: 1440*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*j + 1262 - 16479, -j = -6. Do -3044 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = f - 2, 2*j - 2*f = -3*f - 4. Let q be 8\/(-1)*(-6 - j). Suppose q = c + 3*c. Solve -5*o - 3*z = z - 31, -c = -4*o + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*t + 3 - 21, -5*t - 4*q = -40. What is the second derivative of -138*y + 4*y**4 - 2*y**t + 120*y wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18558855 divided by -2651265?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -27\/4*y + 33\/2 - 3\/4*y**2 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3013726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261*j**2*k**2 - 2*j*k**2 + 3*j + 15*k wrt j?\nAnswer: -522*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 7548?\nAnswer: 22644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 309259085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u\/u**1*u))\/u*u)\/(u**(-13)*u*u))\/(u*u**11*u**1) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -2, 4 in decreasing order.\nAnswer: 5, 4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -17446601.9.\nAnswer: -17446597.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -980 by -140.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c20 (base 15) in base 7?\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 43\/4. Find the common denominator of 71\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/39)\/((-14)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(2 - 80\/30))\/((-52)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2204 and 649352.\nAnswer: 357792952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*b**2)*(2*b**2 + 0*b**2 + b**2) + 2*b**4 + b**4 - b**4 to the form q*b**3 + k*b + g + x*b**4 + l*b**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/120 - o**5\/20 + o**4\/8 + 2*o**3\/3 - 3*o**2. Does 7 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25\/3 - 8. Let p = 7.6 + 0.4. Let o = p + -7. Which is the second biggest value? (a) o (b) -1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.849696 millennia to decades.\nAnswer: 284.9696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7544 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 less than or equal to -1655\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 + 17*k**2\/6 - 233*k\/3 + 224\/3.\nAnswer: (k - 14)*(k - 1)*(k + 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -13300\nAnswer: 13262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 63. Let o(g) = -g**3 + 6*g**2 - 3*g. What is the lowest common multiple of o(5) and k(69)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 4*m - 6. Let h = 134 + -37. Let y = 97 - h. Suppose -d + 0 + 5 = y. What is i(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99ad - -3?\nAnswer: -99aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 2*o + 12844 = 0, -o + 6418 = 2*j. Suppose 12*v = 6*v + j. What are the prime factors of v?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 2, m: 2, l: 3, c: 3}. Give prob of picking 1 l and 2 e.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddahaaddahhd. Give prob of picking 2 h and 1 d.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -1, -9, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 7*q + 1. Let b be w(-5). Suppose r - 4 = 2*r. List the prime factors of 260\/b - (-1)\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65884 * 4.\nAnswer: -263536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*a**6*k + 2*a**4*k + a**3*k - 43*a**2*k + a*k wrt a.\nAnswer: 3600*a**3*k + 48*a*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211131 (base 6) to base 14.\nAnswer: -2c35d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 44 + 24)*(1 + 2 - 1)*(-b - 3*b - b) + 4*b - 4*b - 2*b in the form u + q*b and give q.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -245367 (base 8) to base 16\nAnswer: -14af7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 156097125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45683, 91360, 137033, 182702, 228367?\nAnswer: 274028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 73*f - 667. Let d be q(-62). Solve -d*z = 29*z + 132 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 4b9c348?\nAnswer: -4b9c344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**3 - 2*t**2 - 3*t + 19. Is i(4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3589 - 2751. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -199. What is the smallest value in 0, -168, o?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3379 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 2 = -r*m + 8. Is 2\/4*2*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 2*q + 5*q - 7*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 31, 4\/7, 2\/5, 2\/7, -2\/9.\nAnswer: -2\/9, 2\/7, 2\/5, 4\/7, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 33.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*j - 6*j. Suppose -5*d = j*f - 2*d - 124, 3*f = 5*d + 148. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63038.251 to the nearest one thousand.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-4)\/8*(-69)\/161).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5661631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-6)\/(-2))\/(1386\/154)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 14*a = 31, -3*r - 2522*a + 22 = -2527*a for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23.90804 * -0.1\nAnswer: -2.390804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12082 by 7.\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607.26152 rounded to zero dps?\nAnswer: 4607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:42 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 25 = 12*m - 5*k, 3*k + 17 - 36 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052259 rounded to 5 decimal places?\nAnswer: 0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 292*w + 7640 = -106*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110112 + -12?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/5*(-115)\/(-69). Solve 20 = 4*w, -4*n - c = -6*w + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 35*a**2 + 837*a - 31. What is x(-24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 0.91323148?\nAnswer: 0.0365292592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2293600886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161778679*g + 93412252 wrt g?\nAnswer: -161778679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y = -1333 - 1175 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284333*c - 284417*c + 420 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66741, -133307, -199873, -266439, -333005?\nAnswer: -399571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -94. Let t be (-4)\/14 + 216\/r. Which is smaller: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0326096*0.005.\nAnswer: -0.000163048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 3*z - 4. Let b be c(3). Let n be -1 - b - (-2 - -1). Suppose -5*w = n*t - 19 - 1, 2*w = -3*t + 8. Solve -4*p + 4 = -t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3929790 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 14 = 0. Suppose 2*z + q*u = 2*u + 127, -5*u + 188 = 3*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + -0.2. Let l = 2.16 - t. Let o = l + 0.3395. What is o rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + (36\/8 - -4). Put 4, b, 5 in increasing order.\nAnswer: 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -289, -287, -285, -283, -281, -279?\n\"Answer: 2*q - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -3*l - 21*c + 778237, 5*l + 5*c - 1297070 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10493 - -10495. Let x be 34\/30 + (-5)\/5. Which is the closest to 4\/7? (a) h (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*f - 32, -3*q + 0*f = -5*f + 3. Suppose 10*c - q*c - 156 = 0. Let k = 54 - c. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -54. Let y = 20 - b. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t. Let z(x) = t - 3 - x + 0*x. Is z(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 22*a**2 + a - 3. Let k = 23 - 19. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 36 + 99 - 214 + 79.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = n - 20, 12589*y + 20 - 6 + 18 = n + 12594*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10917, -43100, -96739, -171834, -268385, -386392?\n\"Answer: -10728*k**2 + k - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197 + -199 + -1 + 4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7645, 7644, 7643, 7642, 7641?\n\"Answer: -o + 7646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 8*d + 26. Let j be k(8). Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -251. Calculate the greatest common factor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 7*v**4\/4 - 7*v**3\/3 + 2. What is the third derivative of t(n) wrt n?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21100202021021 (base 3) to base 12\nAnswer: 1387a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 2*x**2 + 4*x - 7. What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**3 - 16 + 38*a**3 + 17.\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10, 0 = -s - s + 9*i + 8672. What is s rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)\/v**(5\/4) assuming v is positive.\nAnswer: v**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-463)\/(-4630)*10\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 135, 189, 223, 231, 207, 145, 39?\n\"Answer: -b**3 - b**2 + 78*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 3*m = 14*z - 11, 5*z - 11 = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 550\/5 + 1 + -3. Let w be y\/24*8\/6. Let k be (-2)\/(-10)*10\/w. Which is the closest to k? (a) 0.1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from llvlvlvllllvv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 - 8. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = 1626 - 268. Let b = 122 + u. Calculate the greatest common factor of 100 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(-27)\/(j**3)**(-2\/39) assuming j is positive.\nAnswer: j**(-2806\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 - 15*f + 67. Determine i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let t(o) be the third derivative of -2*o**2 + 0 + 0*o**3 - 1\/12*o**4 + 0*o. What is t(x(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11286059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 311, 328, 361, 416, 499, 616?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-7)\/(182\/(-4)))\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 117. What is the highest common factor of 150 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 23 = -63 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 2690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1663239, -1663238, -1663237?\nAnswer: -1663236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 18*w**2 + 304*w + 3834. What is p(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1296, -1289, -1278, -1263, -1244, -1221?\n\"Answer: 2*a**2 + a - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1952056.0587979 and 0.1?\nAnswer: 1952055.9587979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 17.01. Let z = r - 0.07. Let w = 0.16 + z. Sort 6, 3, w.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -68. Suppose 19*c - d = 15*c. Solve -3*u - 8 = 5*n - c, -n - u + 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x**3 - 342*x**2 + 6033*x - 31119. Let k(i) = 5*i**3 - 171*i**2 + 3018*i - 15558. Let z(q) = 5*k(q) - 2*m(q). Factor z(v).\nAnswer: 3*(v - 24)**2*(v - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:05 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4072, -8134, -12196, -16258, -20320, -24382?\nAnswer: -28444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*c - 15 = 0, 3*y = 2*y - c + 27. Let r = y - 18. Solve 2*t + i = -2, r*t - 3*t + 4*i = -12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. What is the common denominator of -71*(j\/(-24))\/((-4)\/(-8)) and -34\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -8 (c) -0.5 (d) -1\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 8:14 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 334 - 375 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124897*n**5 - 6*n**3 + 3*n**2 + 70323 wrt n.\nAnswer: -7493820*n**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - 132.338. Let a = 3.28 - 2.76. Let g = n - a. What is g rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 m when four letters picked without replacement from {p: 3, m: 1, w: 1, t: 4, a: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a - 12. Let j(q) = 8*q + 8. Let z(t) = -3*f(t) - 5*j(t). Let y(l) = -17*l + 6. Calculate 5*y(x) + 8*z(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 489650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose -3*z - 2*x + 68 = 0, j = 4*z - 2*x + 6*x - 92. Suppose m + 4*l = z, -l = -3*m - 2*l + 22. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93283546 or -93283544?\nAnswer: -93283544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (47 - (25 + -20 + 16)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-18) + 17 + (-1313)\/78 + (-40)\/(-15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 4. Give i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44408715?\nAnswer: 3, 5, 13, 29, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**3 + 5 + 1\/2*q**4 + 0*q**2 - 1\/5*q**5 - 1\/6*q**6 + 0*q. Factor g(i).\nAnswer: -i**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 31. Let d(m) = 235*m. Is d(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - o)*(-12*o**3 + 36*o**3 - 18*o**3) + 0*o**3 - 4*o**4 + 128 + 2*o**3 - 127 in the form p + g*o**4 + q*o**2 + h*o + c*o**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + c + 1. Let w be h(-1). Suppose 4*g + w = y, 5*g + 5 = y + y. What is the nearest to 0.1 in -5, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0443 rounded to one dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1474221 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - 6)) + (-5 - (-16 - -17))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 - -7. Let k = -204 - q. Calculate the least common multiple of 32 and k.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902665671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, -22, 2554, -2 in ascending order.\nAnswer: -22, -3, -2, -1, 3, 2554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 3 (c) -0.1 (d) -0.06 (e) -164 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 11:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 63*a**3 + 15*a**2 - 15*a - 15. Let z(n) = 16*n**3 + 4*n**2 - 4*n - 4. Determine -4*u(r) + 15*z(r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 132112 and 0.09?\nAnswer: 11890.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3697, 3344, 2991, 2638, 2285, 1932?\n\"Answer: -353*g + 4050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 85*d - 1. Let g(r) = 43*r - 1. Determine -5*g(b) + 2*s(b).\nAnswer: 2*b**2 - 45*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 126572.\nAnswer: 253144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -4*j + 9, -2*j - 3*l + 19 = 0. Let z(x) = -11*x + 2. Let u be z(j). Let h = u - -74. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i - 0*i, 0 = 5*j + 5*i - 10. Let k(c) = -c + 5. Let g be k(0). Suppose -x - 9 - 3 = 5*o, g*x - o = 18. Put x, -1, j in increasing order.\nAnswer: j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 403 and 4805?\nAnswer: 62465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6302, 25214, 56740, 100886, 157658, 227062, 309104?\n\"Answer: z**3 + 6301*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-13))\/((-19)\/247). Suppose -y = -3*l + 65, -y + 4 = 9. Suppose 7*d - 5*d - l = 0. What is the highest common factor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n - 3. Give l(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 - g + 13. Let h be p(6). Suppose h*b - 3*b + 68 = 0. Is -17 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-21))\/(2\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Suppose -31 = -2*j + 4*x - 191, -4*j = -d*x + 320. Let u be ((-2)\/5)\/(112\/j). Sort -1\/3, u, 0.3.\nAnswer: -1\/3, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 + 4 - h**2 + 45*h - 45*h)*(9 - 9 - 12*h).\nAnswer: -72*h**4 + 12*h**3 - 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7275915999.\nAnswer: 3, 11, 149, 493249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o**2 + 4973*o - 8156. What is v(247)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-5)*b))\/(b**(-1\/2)*b))\/((b\/(b*b**3*b*b))\/((b\/b**(-1\/2))\/b)) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.00000554 + -16. Round z to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136942 is divided by 190.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f - 4*g = -24, 8 = 2*g. Suppose -5*z + f*t = -21, -t = 2*z + 4*t - 20. Solve 4*b = z - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 + 7*i + 6. Let q be u(-4). Suppose 2*y = -4*d + q, 25 = -3*y - 4*d + 112. What is the greatest common factor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9028*n**3*r**2 - 180*n**3 - 2*n**2*r + 20*n**2 + 12*n*r**2 - 12*r**2 - 2*r wrt n?\nAnswer: -54168*r**2 - 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6*j - 75 = 3*j, 309*o - 311*o - 296*j + 7702 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 + 465*h**3 + 897*h**2 - 3201*h + 1836 = 0 for h.\nAnswer: -153, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - -4*(-1)\/(-4). Let n be -2 + 1 - (-1 + 1). Let i = w - n. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(35)\/(sqrt(5)*-2*-5) + (sqrt(70) - -3*(sqrt(70) + sqrt(70)*1))\/(3*(sqrt(10) + sqrt(40)\/sqrt(4))).\nAnswer: -5 + 19*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203065832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.583759 tonnes to grams.\nAnswer: 3583759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 212. Suppose 2*p = -p + c. Is p\/3 - (-5)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564576 divided by -2.\nAnswer: -282288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -34) + -18 - (38 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 14 = -33*m + 35. Let k be 4\/(-5) + (-224)\/(-80). Let c = 9 - 5. Solve -b = -2*f + m, f = -k*b + 4 + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -26*c + 0 + 13\/2*c**3 - c**6 + 0*c**2 + 0*c**5 + 0*c**4. What is the second derivative of q(a) wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -61, -58, -41, -4, 59, 154, 287?\n\"Answer: q**3 - 2*q**2 - 6*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 306062046 to the power of 1\/2, to the nearest integer?\nAnswer: 17495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13924, 27188, 40452?\nAnswer: 53716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199, -5375, -12329, -22061, -34571, -49859?\nAnswer: -67925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-33))\/b*b\/(b*b**1)*b*b\/b**(-3\/4)*b*b*b**(-44)\/b*b)**(1\/18) assuming b is positive.\nAnswer: b**(-293\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 24 + 4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -173, -2, 0.5, -33?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + l - 24 = -14, -2*z + 4*l - 22 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 take away 0?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 2333 = -2369 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 3*y**3 + 55*y - 57*y + 2*y**4 to the form d*y**3 + v + r*y**4 + u*y**2 + s*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 1653*b + 46583*b + 104872*b.\nAnswer: 153108*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1344) - sqrt(21)))\/(sqrt(3) - (-5*sqrt(36)\/sqrt(12) - sqrt(3))) + -1.\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**2 - 9*f - 28. Does 10 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/51, -14\/733 in increasing order.\nAnswer: -0.1, -14\/733, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a2a9 - 3?\nAnswer: 15a2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/2))**36\/(s**(1\/3))**(-2\/25) assuming s is positive.\nAnswer: s**(-1348\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 10*f**2 - 17*f - 5. Let g be s(-8). Let b be (-9)\/6 - 28\/(-8). What is the third derivative of -2*c**g + 4*c**b - 3*c**3 + 12*c**3 wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from ssssasssssaasss.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67375.11 centimeters in kilometers?\nAnswer: 0.6737511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*u - 0 + 3, 3*o = -4*u + 11. Let k be ((-10)\/3)\/u*15. Let s = -10 - k. Solve -3*f + 11 - 2 = s, 3*c + 2*f = 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 + -149. Suppose -2*d - q = -k, 224 = 2*k - 3*d - 278. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-600)\/(-7) - (0 - (-6)\/(-21)). Suppose 0 = i + 47 - d. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.62, -2\/111, -272, -0.2.\nAnswer: -272, -0.2, -2\/111, 0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4064\/7 + -587. Is -7 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 178 = -2*b - 146, b - 5*d = -10 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-1*sqrt(392)).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -357*a. Let s(y) = 2*y**2. What is g(s(v))?\nAnswer: -714*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.96588 and 0.09.\nAnswer: 0.0869292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19187 = 117*l - 34*l - 26380. Does 81 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + -16. Let c = s - -77. Let k be (-12)\/(-66) - c\/(-11). Solve k*y - 8 = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5\/4, -2\/9, -0.03, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 - 686 + 215*d**2 + 372.\nAnswer: 215*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1571344, 3142670, 4713996, 6285322, 7856648?\n\"Answer: 1571326*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80790131 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/9 + 58\/45. Sort 3\/8, 0.5, 1, k in decreasing order.\nAnswer: 1, 0.5, k, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -339*v + 338*v + 30, -30 = -5*v - 2*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 12*r + r**2 + 123 + 5*r + 74 + 2*r**4 - 6*r in the form q*r + g + j*r**4 + n*r**3 + s*r**2 and give g.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73715868 and 2952.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.233 + -2.233. Let l be (-3)\/(-20) - (-4)\/(-10). Which is the nearest to o? (a) l (b) 1\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, u: 4, v: 4, y: 3}. Give prob of picking 1 v, 1 u, and 1 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.20182 + 0.20182. Let z(o) = o**2 + 5*o + 4. Let d be z(-4). Sort c, d, 2, -1 in decreasing order.\nAnswer: 2, d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 14*r + 72. Determine o(14).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11502602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1796576)\/(-159360) + (-2)\/20. Let p = l - 49\/83. What is the common denominator of 19\/28 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n + 7. Suppose -14*i + 14 = -0*i. Let y(o) = -4*o + 1. Let v(k) = i*z(k) + 3*y(k). What is v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623428.\nAnswer: 2, 13, 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s - 9. Suppose -10 = -6*l + 26. Is i(l) 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 217485048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*v = -75, -p + 4*v + 135 = 109. Solve p*y + 122 = 164 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -133. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 1307\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 1165\nAnswer: 71065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5.8, -0.07431 in ascending order.\nAnswer: -2, -0.07431, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a\/(a**6*a*a)*a)\/a)\/a))*a)**(1\/12) assuming a is positive.\nAnswer: a**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 8. Let y(h) = 2*h**3 + 3*h**2 - h - 1. Is 5 a factor of y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 - 7*q. Let f be o(-2). Let z(u) = -u**3 + 6*u**2 + 1. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 11*h**5\/20 - 2*h**3 + 13*h. Find the second derivative of a(j) wrt j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-4 + 14 - 10)) + 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5883?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:14 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 100. Solve 5*t + p + 23 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 4. Let q be l(5). Let u be ((-16)\/q)\/(6\/15). Suppose 3*x + 22 + u = 4*t, 5*t = -5*x + 60. Calculate the greatest common divisor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10771?\nAnswer: 86168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -495916, -495918, -495920, -495922?\nAnswer: -495924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 4 = 4*w, f - 3*w = 14926. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (10 - 2))*13. Let j = q + 26. What is the smallest common multiple of 8 and j?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4196687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 129 (b) -1 (c) -80 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11809, 23484, 35025, 46432?\nAnswer: 57705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagggaagaaa. What is prob of sequence ag?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3ab706 + 2?\nAnswer: -3ab704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14 - h - 9*h + 3*h**2 + 3. Suppose 7*u - 12*u = 20, -34 = 3*f + u. Is v(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 - 5*s + 57. Let x be w(6). Is (18\/x)\/((-1)\/(-639)) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1997, -1967, -1903, -1793, -1625, -1387?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -31. Calculate the remainder when -5 - (2 - d) - -388 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/9)\/(-16)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y. Suppose -7*i - 233 + 149 = 0. Let h(n) = 18*n**2 - 12*n. Calculate i*r(g) - h(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72797 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 32*j**2 - 32*j + 24. What is r(31)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 = 8*y + 2*d, 0 = 3*y + d - 13. Is (162\/(-63))\/(y\/(-28)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h + 6. Let t be w(2). Let u be (-3)\/(t\/(-30) - 517\/(-165)). Are -3\/2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979090*h**2 + 979093*h**2 - 1958184*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (23 + -51) - (1 + -2 - -20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m + 15. Let p be o(-1). Let a(n) = -n**2 - 10*n - 9. Calculate a(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -16 + 42 + -24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 17 = 2*a, 4*a - 5*v = -4*v - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - 7\/(-4). Is (i - 1)\/(1\/19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2279818, 2279817, 2279816?\nAnswer: 2279815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*g**3 + 16*a*g**2 + a*g + 11653*a - 35*g wrt g.\nAnswer: -6*a*g**2 + 32*a*g + a - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 4. Let k be x(4). What is the units digit of 1*13 - (1 + k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 320?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) 19 (c) -7 (d) 0.4 (e) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -473763000 divided by 47976\nAnswer: -9875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + m)*(-110 + 14 - 14).\nAnswer: -220*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 125 = -139. Is 66 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -22\/3, -4, 1\/5, 0.08, -1.948, -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -1, -46, -2, 6.\nAnswer: -46, -2, -1, 6, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428865 is divided by 1083.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 11*k**2 + 681*k - 689. What is w(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - a - 3, 9*a - 5*a = 3*d - 26. Solve -l - 11 = 2*p, -d*l - 3*p - 84 = -65 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = x - 46. Suppose 0 = 26*r - 30*r + x. Let q(t) = 120*t + r*t - 242*t. Let h(g) = -2*g**2. Give h(q(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -4\/3 (b) -3 (c) -2\/9 (d) 3 (e) -1912\/9 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 333598 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r - 2. Suppose 7*s - r*s - 4*i + 20 = 0, -2*s = 4*i + 8. Let q(k) = -k**3 - 3*k**2 + 2*k - 3. What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**2\/2 + 100. Let j(v) = 117*v + 1. Calculate j(i(l)).\nAnswer: -117*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553423 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7148.99165 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 334, 345, 352, 355, 354, 349, 340?\n\"Answer: -2*d**2 + 17*d + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -216, -256, -314, -384, -460, -536, -606?\n\"Answer: b**3 - 15*b**2 - 2*b - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -55*w + 2*w**3 - 5 + 47*w + 4*w**2 - 11 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 114 = 9. Suppose 0 = -z*a + 38*a - 3762. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*o - 548*o + 32664 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1258 divide 3619365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, -4\/3, -87?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/14)\/(-2 - (-113)\/56). Let m be z\/(10 - -2)*35\/2. What is the greatest common divisor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44372 and 18?\nAnswer: 399348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1 + 2*k - 3*k**2 - 6*k**2 + 0*k**2. Let g = -3 - 0. Let j be (-2)\/g*3\/2. Give a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-17))\/(-1*2*1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z - 0. Suppose -3*g = -z - 12. Solve 0 = g*l + 20, p + l + 5 = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -117*t + 21. Let j(h) = 59*h - 8. Give 5*j(k) + 2*l(k).\nAnswer: 61*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44219 divided by -6317.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*v = 18, 5*g + 25649*v = 25652*v + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1600 in 1\/2, 2, -4, -4.3, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - q - 10 = i, 20 = 4*i + q. Let l be (-1132)\/(-20) - 3\/i. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 270 - 2066 = -0*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -114, -173?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - 7*r + 39. Let o be n(5). Suppose 4*h - 5*v + 9 = 24, h = v + o. Solve -4*m = -h*w + 41, 6*w + 2*m = 2*w + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -21741*v + 86997. Determine g(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 36 = 5*u, -2*u - 3 = t - 2. Let j be 0\/(-3 + (-3 - t)). Suppose 3*b + 0*b - 18 = j. Solve 0 = b*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 3*f - 4 - 24, -4*k = -3*f - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -4.09. Let d = g + 4. Which is the second smallest value? (a) d (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -2444.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 + 13*q**2)*(6*q - 55*q - 72*q).\nAnswer: -2178*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdlhxoxxhmxxxxx. What is prob of picking 1 m, 1 o, and 1 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -104*m + 11. Let g(j) = 35*j - 4. Let s(a) = -11*g(a) - 4*o(a). Let r(h) = h. What is r(s(q))?\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 259861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**21*n)\/(n\/n**(-17)))**(-43) assuming n is positive.\nAnswer: n**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 591297643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*3*6\/(-72). Suppose a - 2*p - 2 + 3 = 0, 0 = 3*a - 2*p - 17. Let y be 1 - (a\/21 + 1). Put -1\/3, y, h in increasing order.\nAnswer: y, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4436 + 4400. What is the smallest common multiple of 9 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*m = 54, -w - 16149*m = -16153*m - 42 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/11, -1\/5, -2\/23 in decreasing order.\nAnswer: 2\/11, 0, -2\/23, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12762382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 - p - 3. Let j be w(3). Let f(g) be the second derivative of -1\/2*g**j - 4*g + 0*g**2 + 0 - 1\/4*g**4. Let f(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40204 by 38.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3113 + 3*z - 7*z + 10762 + 3891.\nAnswer: -4*z + 11540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a8 - -14159?\nAnswer: 13061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/12 + (43814\/9)\/(596\/447) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + 26\/(-10). Suppose 6 = m + 2*s, 4*m + 4*s - 9 = s. Put x, -2, m in ascending order.\nAnswer: x, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 516954*g**3 - 24651*g**3 + 0*g.\nAnswer: -541605*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 + -200. Calculate the remainder when 333 is divided by z.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/144 and 71\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccdccccccccddcddc. What is prob of sequence cdcd?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 267355762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 57100000 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10287749 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 41*w**6\/30 + 3*w**5\/5 - 205*w**4\/4 - 375*w. What is the third derivative of u(a) wrt a?\nAnswer: 984*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i + 4 - 3)*(5 - 14 - 6 + (-1 + 2 + 1)*(-2 + 0 + 4)).\nAnswer: 11*i - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(12)\/sqrt(4)*-6 + sqrt(3)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:39 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -39\/11 (b) -3\/8 (c) 2\/13 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630864271?\nAnswer: 17, 509, 72907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9158 + 163 + 2920 = 554*h + 2269 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*w - 8 + 46, 2*w + 4 = 0. Let j(m) be the first derivative of m**2\/2 - 3*m - 477. Calculate j(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21453 (base 6) to base 16\nAnswer: -ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 60698?\nAnswer: -60698.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 - 3)*(-23*q**2 - 60*q**2 - 10*q**2).\nAnswer: 651*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 184.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/52 - -1 - 60*(-62)\/2480.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/72 - i**5\/30 - i**3\/6 - i**2. Let f(z) be the first derivative of j(z). What is the second derivative of f(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 3, -0.5, -3, -2\/15, -220?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(4\/2) + (-22 - -26). List the prime factors of 10*(22\/a)\/((-15)\/(-45)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {h: 7, u: 3, w: 6, c: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10439258 is divided by 2871?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6614*a + 4972*a - 10372*a to l*a + p and give l.\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 27279*k**2 - 27279*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(3 + 2*y - 3) - 4*y + 6*y + y)*(0*y - 4*y + 3*y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1479\/8 + -28493\/152. Let s = v + 527\/57. Factor s*d + 17\/3*d**2 + 4\/3 + 4\/3*d**3.\nAnswer: (d + 2)**2*(4*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q + 2 + 5*q + 9 - 7. Let w = 185 + -191. Give z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:58 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 16*l**2 + 88*l + 96.\nAnswer: -2*(l - 12)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s - 37. Let g be k(7). Suppose 5*v + g*l - 25 = 0, v - 2*l = -2*v. Find the first derivative of 0*y + 0*y + v*y - 3*y + 10 wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47369 + -47371. Let t be (-10)\/(-4)*(-2)\/12. What is the closest to t in 0, a, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 2 - 2 + w - 2 + 2 + 6*w**3 - 2 to l*w**3 + f*w + v*w**2 + t and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*y - 9, 5*d - y = -0*d + 29. What is the remainder when 17 is divided by 56\/16 + (-3)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*h - 20*h - 73*h)*(h**3 + h**3 + 0*h**3).\nAnswer: -264*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (10 + -2 - 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-225)\/54)*(-2)\/(-54)*15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26869 + 6711 + 6731 + 6699 + 6727 + f.\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10558 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/25995 or 1034?\nAnswer: -14\/25995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8343 and 222507?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*d + 2 = 7, -5*q = 3*d + 25. Suppose 3*r - 38 = -r - 2*t, 0 = -5*r - 2*t + 48. Is 0 - 354\/(r\/q) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172268 divided by 6\nAnswer: -86134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a. Let b = 0 + a. Let s(d) = d + 11. Give s(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419977 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-3\/2)*s))**(3\/8) assuming s is positive.\nAnswer: s**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.59 - -0.39. Let q = g - -3. Let r = 0.3 + q. What is the closest to r in 2\/11, 2, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-35)\/(d**(-20)\/d))\/((d\/(d\/(d\/d**(-3\/29))))\/(d\/((((d\/d**(-1\/2))\/d)\/d*d)\/d))) assuming d is positive.\nAnswer: d**(-789\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-3)\/18)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-23 - -41)) + 73?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1085 and 475?\nAnswer: 103075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -652\/5. What is the nearest to m in -1\/6, 1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = 6*x. What is the closest to x in 1, -1, -2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1053*b**2 + 565*b**2 + 553*b**2 in the form j + s*b + o*b**2 and give o.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -855.1 rounded to the nearest 10?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -428 + 424. Let s(l) = -l**3 - 6*l**2 - l + 6. Let n be s(q). Which is smaller: n or -20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/i**10))**23 assuming i is positive.\nAnswer: i**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 20, 8 in ascending order.\nAnswer: -5, 1, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.5. Put -2, -0.4, b, 0.1 in ascending order.\nAnswer: -2, -0.4, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i + 0*i + (-4*i + 2*i + i)*(1 - 2 + 2) + 655*i - 266 + 507 - 240.\nAnswer: 653*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1498678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01910554 and -43?\nAnswer: -0.82153822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.1, -5, -0.06, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1997898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (17 + -3 + 5). Let i be w\/(-24) + (-5)\/20. Factor i*m**3 + 1\/3 + 0*m**2 - 2\/3*m - 1\/3*m**4.\nAnswer: -(m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 5*v**4\/12 - 2*v. Let u = -19 + 10. Let k(i) = -i**2. Let d(c) = u*k(c) - 2*z(c). Let m(w) = w. What is m(d(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -5. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1217 + 2123. Let z = h + 472. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 11*a**2 + 10*a + 6. Suppose -r - 2 - 9 = 0. What is the thousands digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:32 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*i = -18, -18*v - i = -17*v - 1. What is the hundreds digit of 3748\/36 + (v - 3)\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -25693.\nAnswer: 3\/25693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7191195 years in centuries?\nAnswer: 0.007191195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107357313 and 6993.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 - 4*u**2 + 2*u. Suppose 3*r - 8 = 16. Calculate the lowest common multiple of s(2) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70056 and 1120896.\nAnswer: 1120896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/(138\/(-184)). Solve -8*r - 6 = -6*r, l*r = 2*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737503 is divided by 178?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24001888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/375 and 167\/420?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 0*n**2 + 0*n**2)*(352*n + 60465 - 60465)*(-3 + 2 + 5) to f + t*n**3 + j*n + g*n**2 and give t.\nAnswer: 2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444314146*c**3*i**3 + 7*c**3*i**2 + 57*c**3 - 5*c**2*i**2 + 3*c**2 - 29*c*i**2 - 1 wrt i.\nAnswer: 2665884876*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 479623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -700624.3 to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 2. Let r(b) = b + 3. Let g be r(n). Sort g, 1, 4 in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -3*q**5\/40 + q**4\/8 - 10*q**2. Factor g(u).\nAnswer: -3*u*(3*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujuujujjjjj. What is prob of picking 1 u and 1 j?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -9. Let j(o) = -o**2 + 11*o + 16. Is 13 a factor of j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/15 - 406*o**3\/3 + 170682*o**2\/5 + 312526*o\/3 - 2072648\/15 = 0. What is o?\nAnswer: -4, 1, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*v**3 - 8367*v**3 - 948 + 948.\nAnswer: -8146*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-3 - -3))*-1. Suppose 0 = -7*u + s*u + 170. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17017, 34458, 51779, 68920, 85821, 102422, 118663, 134484?\nAnswer: 149825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4\/5, 4, -11\/3, 1.5 in ascending order.\nAnswer: -11\/3, -1, -4\/5, 1.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*h - 40, 73*c - 4*h = 73*c - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**3 - q**3 - 2*q**3 + 4*q**3 - 2*q**3 + 0*q**3 + 2*q**3 + 3*q - 3*q + (q + 4*q - 4*q)*(-6*q**2 + 4*q**2 + 3*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -4.1. Let s = -0.07 + -0.03. Let h = 88\/315 + -2\/35. Which is the nearest to 0? (a) s (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/4*x**4 + x**2 + 4*x + 0*x**3 + 0. Differentiate g(c) with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/68*((-3920)\/(-616))\/(-70).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/17))\/(y\/(y\/y**(-18)))*(y\/((y\/(y*y**2*y))\/y)*y)\/y**(-15))**(2\/11) assuming y is positive.\nAnswer: y**(1356\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103007 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 12. Suppose g*m - 9 = 0, -6 = 3*a - m - 3. Suppose a = -17*p + 16*p + 4. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*s = -4, 0 = 119*k - 59*k - 57*k + 4*s + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4797560 is divided by 1604?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25a + 1?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbboobob. Give prob of sequence ob.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 - 6324*u**4 + 4935516*u**3 + 100506976*u**2 + 591288786*u + 820135044 = 0. Calculate u.\nAnswer: -9, -2, 1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/22 - 802532\/(-14102).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 6*k - 12*k - 1199*k**3 + 4*k - 5.\nAnswer: -1199*k**3 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 10*l + 17. Let y be f(-8). Let r be y*2 - (-10)\/5*2. Sort -4, 3, r in descending order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - (-6 - -3)) - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 3, o: 13}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(490)*1 + sqrt(490))\/(-2*sqrt(90)))\/(-5*(2*sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252) - sqrt(63))).\nAnswer: 7*sqrt(7)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.86. Let d = r + 2.58. Sort d, 2\/9, 4 in increasing order.\nAnswer: 2\/9, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20718 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 0 + 0*b - b - 2. Let s be t(4). Solve -4*p + 3*x = 32, -4*x - 9 = s*p + 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91579.069 to the nearest ten.\nAnswer: 91580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5099 (base 10) in base 6?\nAnswer: -35335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 10. Determine s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 3\/2)*2. Let n = q + 7. Suppose -2*l - 100 = -5*d, n*d = -d + 5*l + 85. Calculate the lowest common multiple of d and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + 8. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*s + 4*s. Suppose s = 4*t + t. Let o be 14\/147 + 3\/(-7) - 8\/(-6). Solve 0 = -t*p - 5*n - o, -4*p + 8 = -p - 5*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283040823 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 562782 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*b - 4 + 19, 4*b = -5*y + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -3, -2.2, -16\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 86*n + 2. Let l(y) = -y**2 + 1. Let o(v) = 6*v**2 - 4. Let d(r) = 4*l(r) + o(r). Give f(d(b)).\nAnswer: 172*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47254 divided by -23627\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 256883 = 3*f, 2*f = 60 - 50. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23303947*u**2 + 26362676.\nAnswer: -46607894*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/(14*(-10)\/40). Let s = 0.04 - -7.96. Is k at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from iiijjjijijjjjjii.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 1. Let i(c) = 3*c + 1. Let j(r) = 7*i(r) - 6*v(r). Calculate j(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48189542 times -17?\nAnswer: -819222214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18345, -18112, -17387, -15924, -13477, -9800, -4647, 2228?\nAnswer: 11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349\/96 + 7\/2. Find the common denominator of 5\/16 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/56*-5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 1, m: 1}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/((-354)\/(-22184)*94)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -38. Let h(y) = -24 - w*y**2 + 24. Let g(i) = -2*i. Calculate g(h(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 184*n**3 + n**2 - n + 1. Let h(o) = -o**3 + 4*o**2 + 1. Let z be h(4). Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)*f\/(f**4\/f*f))**(-20\/3) assuming f is positive.\nAnswer: f**(700\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 35195.51\nAnswer: -563128.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -5. Let d = -0.33 - -14.33. Let p = d + k. Which is the second biggest value? (a) p (b) 1\/9 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 2*p - 1. What is x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xttt when four letters picked without replacement from tttcttxttttcxcctxt.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11345735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 49*s**2 + 16*s.\nAnswer: s*(s + 16)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-11) + 12\/66. Let g be (c - -1)\/((-1)\/(-19)). Let t = g - 40. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -7*n**3\/6 - n**2\/2 - 28*n + 2. Calculate c(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3, 13 = 3*r + 2*r - l. Let w = 0.3 + -0.1. Let a = w - 1.2. What is the nearest to a in -2, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c42a3 (base 14) in base 3?\nAnswer: 220000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 3036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w = 0. Let y(h) = -h**3 + 3*h + 502. What is the remainder when y(w) is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 273132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121373 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -56*y + 3924. Let j be s(70). Let l(q) be the second derivative of 0 + 1\/5*q**5 - 4\/3*q**3 - 28*q + 0*q**2 - 1\/3*q**j. Factor l(r).\nAnswer: 4*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635637 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.900000117 - -24.9. What is u rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**2 + 2*v + 8. Let d(r) = -244*r - 1708. Let t be d(-7). Determine b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a39 - -2?\nAnswer: -a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011 - 1001001100110010101?\nAnswer: -1001001100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.3. Let q = 2 + -2.2. Let o = j + q. Which is the smallest value? (a) -1\/3 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 679 = 4*n, 3*d + n = 2*d + 135. Suppose 4*b = -3*h + d, 78 = b + 2*b - 3*h. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -3*v**5\/10 - v**2\/2 + v. Let h be 38\/(-2)*6\/3. Let u = h - -37. Determine p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2970 - -0.03575\nAnswer: 2970.03575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -1.1. Let x = 0 - t. Let i = 433.1 - 433. Which is the nearest to i? (a) x (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6*a + 19*a - 11*a)*(0*a**2 - 6*a**2 + 8*a**2) to n*a**2 + d + c*a**3 + k*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a - 43056 = -93*a. Calculate the smallest common multiple of a and 4.\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 18 = -19*t. Let k be ((-54)\/(-15))\/t*10. Find the second derivative of -2*q**4 + 15*q**4 + 11*q + k*q wrt q.\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 838728.5 kilometers?\nAnswer: 838728500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**9\/1008 - y**6\/90 + 2*y**3\/3 - y**2. Let z(r) be the first derivative of n(r). Find the third derivative of z(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.098 + -0.18. Let j = w + -1.918. Let q = -1 - -1. Which is the closest to 2\/7? (a) -0.3 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330508989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/220 and -97\/12634?\nAnswer: 1389740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05911 - 4986458?\nAnswer: -4986457.94089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001756 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1291984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363108 is divided by 363087.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486\/828 - 6\/69.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = 4*v - 4, k + 5*v = 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1318*p**5 + 407*p**2 - 2531*p**2 + 1321*p**5 - 875*p**2 + 218*p**2 - 154*p**3 wrt p.\nAnswer: 180*p**2 - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - 4*k)*(-5 + 2 - 4 + (-3 + 4 - 3)*(0 + 0 - 1) - 2 + 0 + 0 - 4 - 26 + 13).\nAnswer: 120*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3355527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2740, -3, 3, -1 in descending order.\nAnswer: 2740, 7, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 15453516?\nAnswer: 15453524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11308 less than or equal to 11308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 7\/2 (c) 0.01 (d) 4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/(-177)*(-18)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*q + 1943 = -181 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -177534950 divided by -6\nAnswer: 88767475\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*y - 417*y - 464*y + 1719*y - 338*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394907\/267603 - 6\/12743. Let w = 5234 + -21065\/4. Let x = w - -1931\/60. Find the common denominator of x and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -3106c?\nAnswer: -31062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 4, e: 2}. What is prob of picking 1 a and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943669118?\nAnswer: 2, 1971834559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i + 7*i - 7*i as z*i + c and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 951\/(-7) - 1742580\/(-12908).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*c + 892 wrt c?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17390\/16 + (5 - 3)\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149088*c + 298131*c - 2430 = 149178*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5559588?\nAnswer: 2, 3, 389, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -827*c**3 - 469*c**2?\nAnswer: -4962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6 - 0, -4*j = -5*h - 397. Let y = j - 60. Calculate the highest common divisor of 129 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {g: 2, i: 9, n: 3, k: 3, q: 1, a: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 428, -79, -1518, -3889, -7192?\n\"Answer: -466*u**2 + 891*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 227 (c) -0.2 (d) -1 (e) 0.5 (f) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -546 + 576. Let d(x) = -o - 35*x**3 + 30 + 17*x**2 - 13*x + 17 + 30*x. Let j(s) = 6*s**3 - 3*s**2 - 3*s - 3. Determine -6*d(w) - 34*j(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 4 (c) 1\/7 (d) -0.05 (e) 17 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -3. Suppose -o = -l*o + 10. Let w be o\/(-9) + (-86)\/(-144). Which is the second smallest value? (a) 0.3 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 269 = -3*m, -2*n + 6*n - 5*m - 223 = 0. Suppose 46*q = n*q - 24. Let i be (-370)\/(-16) - q\/32. Solve 5*p - 4*f + f = -i, -5*f + 17 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 4*v**2 + 19*v - 5. Give f(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -3 - h - 5\/2*h**2. Give r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 15*k + 5. Determine y(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 2*s + 3. Let b be j(-4). Let n = 12 + -19. Let t be b\/n - 4\/14. Solve 0 = -t*v - 0*v - 4*h - 25, -5*h = 4*v + 29 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htc when three letters picked without replacement from cchcctcth.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -7*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - (39 + -49 - -2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooboqooobqooobb. What is prob of sequence bob?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, a: 3, h: 6, u: 3}. Give prob of sequence hhuw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 + 438*q**2\/5 + 8064*q.\nAnswer: -3*q*(q - 210)*(q + 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - t - 5*t**4 + 3*t**4 + 3*t - 3*t**3 to w*t + u + s*t**4 + q*t**2 + d*t**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(180)\/sqrt(3))\/(sqrt(12) - (sqrt(72)*-2)\/sqrt(6))*4.\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101020 (base 4) in base 3?\nAnswer: 1111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/23 (c) -4\/13 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 14*w - 3. Let i be h(6). Suppose -2*r + i = r. Let z be (-4)\/((-12)\/r) + -1. Solve z*m = -0*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1132152484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*d + 170 = -380*d. Suppose d*l - 15*l = 874. Calculate the remainder when 137 is divided by l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**6\/9 - 384*x**5\/5 + 41759*x**4\/3 - 36736*x**3 + 82369*x**2\/3 - 386. Suppose r(c) = 0. Calculate c.\nAnswer: 0, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 6*d + 3. Let g be z(-6). Suppose 10*c - 12*c + 22 = 0. What is the first derivative of 9*s**g - 18*s**3 + c*s**3 - 5 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iig when three letters picked without replacement from {i: 2, h: 1, g: 4, r: 2, y: 2, e: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**9*n)\/n*n)\/n*n\/(n*n**(-5)))**21 assuming n is positive.\nAnswer: n**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 222058665 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -70888291 and 3730.\nAnswer: -70884561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) -12 (c) -0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2415431 (base 6) to base 13\nAnswer: 45a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*10081\/(-1186).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.06 - -2.06. Which is the nearest to -2? (a) 4 (b) -0.1 (c) r (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12635 + 252771\/20. Let r be (-2)\/((-3)\/18*-4). Calculate the common denominator of y and 1\/r + (-476)\/120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -7*m**4\/12 + 2*m. Let r(p) be the second derivative of -5*p**3\/6 + 270*p. Calculate r(a(j)).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/6*u**4 + 0 + 3*u**2 + 0*u - 2\/3*u**3. Calculate the remainder when 29 is divided by n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -1\/18, 2, 1720.1.\nAnswer: -5, -1, -1\/18, 2, 1720.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -51.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3000 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 - -2)) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 60, 10, 1, -3, 4, 9 in increasing order.\nAnswer: -3, 1, 4, 9, 10, 13, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a factor of 160934697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let y(n) = 2*n + 381. Determine c(y(u)).\nAnswer: 12*u**2 + 4572*u + 435483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -26. What is the highest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6225 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 4. Suppose 5*y = 3*s + 72, s + 2 + k = 0. Let h = -200 - -296. What is the greatest common divisor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 6*y - 3. Let x be v(-5). Let z be (-7)\/(x\/(-2))*(-21 + 24). Differentiate -z - 29 - 6*n**3 - n**3 + 19 wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8 + 14. Solve r*y = y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -83?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 3.2 (c) -22819 (d) 3 (e) 0.4 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6523, 26415, 59673, 106297, 166287, 239643?\n\"Answer: 6683*j**2 - 157*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -45*d + 1706 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 221*b**3 - 39*b**2 - 39*b + 39. Let x(z) = 22*z**3 - 4*z**2 - 4*z + 4. Let d(k) = 3*k**2 + 36*k + 64. Let l be d(-10). What is l*m(q) - 39*x(q)?\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498392 divided by 2.\nAnswer: 249196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 217\/14 + -10 + -6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 3*l - 30 = 0. Let v be ((-1)\/(-1))\/((-1)\/(-4)). Let j(c) = -1 + v + c**2 - 6*c - 5. Calculate j(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -45. Let m be 0 - 3\/o - -3. Solve -2*r + m = 4*f, -f - r = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/1008 + 5*z**5\/6 + 2*z**2. Let w(q) be the third derivative of a(q). Give w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/7 (b) 1 (c) 0.4 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 12*f**2 - 9*f + 23. Give n(11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 0.08 (c) 0.04 (d) 4\/5 (e) 5.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b. Let o be f(0). Suppose 5*j - y = -o*y + 48, -2*j + 27 = -3*y. What is the smallest common multiple of 6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.22? (a) -2 (b) -0.3 (c) -23 (d) 4\/133 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*s - 473*s - 470*s - 455*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5327, 4\/3, 4, -2\/3, -0.1 in ascending order.\nAnswer: -5327, -2\/3, -0.1, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.241544 litres?\nAnswer: 241.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5043 + (-5 - 0)*4\/(120\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)*(-4 + -1)*-1. Suppose 2*z = 3*n + 174, 5*n - 150 + 575 = f*z. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 98*f**2 + f. Let a(z) = 9*z - 6. Let c(p) = 5*p - 3. Let h(q) = 4*a(q) - 7*c(q). Let i be h(2). List the prime factors of o(i).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(sqrt(72)\/sqrt(6)))\/(sqrt(28)\/sqrt(7)*-2).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, 327, 213, 2 in ascending order.\nAnswer: -14, 2, 5, 213, 327","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -22. Let a(k) = 4*k + 1. Let w(r) = 7*r + 1. What is m*w(s) - 5*a(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190 - -239) + 23 + -127?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*c - 133 + 145, 12 = 2*s - 14*c for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -1\/2 (c) 0.03 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35ab (base 15) to base 5\nAnswer: 331121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f + 12. Let a(t) = 7*t + 11. What is 6*a(c) - 5*m(c)?\nAnswer: 7*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-15)\/6)*-16. Suppose -d*p = -3*p + 4*k - 10, 0 = 5*k. What is the least common multiple of p and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by -1.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331239387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2543*0.5.\nAnswer: 1271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44914171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -357*c - 5. Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 - -1667?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:40 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.00061 + 1691.20061. Round j to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 + (-1126530)\/150. Let s = f + 14262. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/1620 + v**4\/27 - v**3\/2 - v**2. Let p(n) be the first derivative of o(n). Find j, given that p(j) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:17 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**3 + 11*k**3 - 18*k**3 + 11*k**3 + 3*k**3 + 11*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 17*o - 10. Calculate q(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289623478*c**6 + 5399113*c**2?\nAnswer: -34754817360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 5. Suppose 3 = v*j - 7. Solve 5*g + 12 = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10435 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (-13 + 6 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75979 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from lfsvslmssilf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**3 - 9*n**2 + 29*n + 85. List the prime factors of r(-8).\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 22, 4, 1, 127, -24, -4 in decreasing order.\nAnswer: 127, 22, 4, 1, -4, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 46, -15, 1, -4 in descending order.\nAnswer: 46, 3, 1, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -8999*m**3\/6 - 5*m**2\/2 - 7*m. Let r be f(5). What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 10}. Give prob of sequence tww.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 33443.\nAnswer: 133772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwwiidwiwi. What is prob of picking 1 d and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*t + 15 = 3*k, -10 = 2*t. Suppose 3 = k*p - 12. Suppose -7 + 73 = p*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 50. Let f(k) = -k - 11. Let b be f(y). Sort 2, 4, b.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 333, 393, 453, 513, 573?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 192 = 26*d, 46*d - 26 = -i + 45*d for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 16\/13, -6\/5, 1\/4, -2\/3.\nAnswer: -6\/5, -2\/3, 1\/4, 2\/5, 16\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -45336.\nAnswer: 226680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -169696, -169670, -169592, -169438, -169184?\n\"Answer: 4*i**3 + 2*i**2 - 8*i - 169694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -447? (a) 1.5 (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x - 6*x - 5*x as m + w*x and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3650 - 2*u**3 + 4*u**2 + 1351 - u**3 + 2*u**3.\nAnswer: -u**3 + 4*u**2 - 2299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**3 - 497 + 252 + 267 - 83*i**2 - 11*i**3 to f + k*i**2 + u*i + m*i**3 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 233 = 2532. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)\/h*h**3)**(2\/93) assuming h is positive.\nAnswer: h**(14\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*x**2 - 56739*x - 20931683.\nAnswer: -16*x - 56739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-735)\/40)*(-23)\/(299\/(-455))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2594)\/(-5188))\/(2\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 38*n + 26. Give u(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68681670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 3, r: 5}. What is prob of sequence eueu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7841, 5826, 2467, -2236, -8283, -15674, -24409?\nAnswer: -34488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -62, 14, -2\/23, -3\/10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcfq when four letters picked without replacement from {f: 4, c: 13, q: 3}?\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1205 = -4*i + v, -2*i + 4*v = 7*v + 613. Let x = -104 - i. Let f be -1 + ((-2)\/2 - -20). What is the highest common divisor of x and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 4 (c) -0.2 (d) -2240\/1613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = -b - b, -w - 4*b + 11 = 0. Suppose 3*v - u + 5 = 0, 4*v + 5*u + w = 2. Let j(k) = -44*k - 8. Is j(v) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*u - 718*u = 528*u - 29754 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 12. Suppose r + 50 = 5*g. What is the highest common factor of g and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*b - 6, -3*b - d - 27 = -51. Solve b = -14*r + 38 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15*w**2 - 7*w + 60. Calculate r(-8).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -312*h. Let s(d) = -2*d**2. What is s(j(l))?\nAnswer: -194688*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*p**4 - p**3 + 4*p**2 - 75 + 75)*(-1 + 0 + 2).\nAnswer: -45*p**4 - p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (25 + 17 - 13) + (16 - 24)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 391*r**3 - 670*r**2 + 192*r = 0. What is r?\nAnswer: -96, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 31583448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8174 is divided by 1296.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6 and 115\/244896.\nAnswer: 244896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/14, 5\/6, -1\/2 in descending order.\nAnswer: 4, 5\/6, 1\/14, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 294.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105, 204, 301, 396, 489, 580, 669?\n\"Answer: -o**2 + 102*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6)*(-9)\/6. Suppose -4 = -4*m + l*m. Let y(p) = 4*p**2 + p. Let b(z) be the second derivative of -3*z**4\/4 - z**3\/3 - z. Give m*b(v) + 5*y(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let k be 5\/((-80)\/(-28)) - (-2)\/8. Suppose -k*o - 3*o - 3*l = 42, 2*o = 5*l + 8. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158616 is divided by 127?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3602 (base 7) to base 3\nAnswer: -1211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = 6. Let a(q) = -2*q - 1. Calculate a(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from tttttiititt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457*j + 100*j**2 - 457*j)*(2*j + 0*j - 3*j).\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -26*x + 2 + 571 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i**3 + 361*i**2*v**2 - 6741*v**2 wrt i?\nAnswer: -12*i**2 + 722*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 75. Let x = i + -39. Let d be (6\/15)\/(18\/(-10)). What is the nearest to -1\/4 in x, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchchc. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. Let n be 12\/9*(-9)\/(-6). Calculate the highest common divisor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881522 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59.24 - 1.24. Let t = -58.0037 + u. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1096342291 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94501, -189201, -283877, -378517, -473109, -567641, -662101?\n\"Answer: 2*q**3 - 94714*q + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 1d6?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -95*r + 35. What is the hundreds digit of x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53437789 to the nearest integer?\nAnswer: 7310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.00000685 + -30. What is n rounded to seven dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040050 and 1040050.\nAnswer: 1040050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g - d - 3*d, g + 4*d = -8. Let u = -3 + g. Let n = u - -4. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 52. Let w = 16 + b. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.69. Let j = v - -1.19. Which is the third smallest value? (a) 18 (b) j (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -28*l**3\/3 - 69. Let c(x) be the third derivative of -x**5\/30 + 2*x**2. Calculate w(c(r)).\nAnswer: -112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72247854 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**3 + 40 - 40 - 9*a**2 wrt a.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 204*q**2 - 392*q.\nAnswer: -4*q*(q + 2)*(q + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -39*m + 43*m, 2*y = -4*m - 26 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -949 divided by -5?\nAnswer: 949\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-568)\/(-355)*(80475\/6)\/(-5). Is r less than -4292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726678?\nAnswer: 2, 787, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*s + 8490, -6*j = -2*j - 5*s - 8491. Is j a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 5 - (5 + -2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(68)*-2 + 1*(1 + sqrt(68))**2 - (0 + -4 + -2*(1 + sqrt(68)))**2.\nAnswer: -237 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 - w. Let m be z(1). Solve 0 = -m*g - 2*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/125599 or -1?\nAnswer: -5\/125599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21065 + -21030. Solve 0 = 7*k - 6*k + c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and 2\/2*(-20)\/(-28)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-6)*(217382\/(-6) + -3). What is l rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/19? (a) -0.1 (b) -1\/36 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6, 2*c + 3 = -4*k - 7. Let u(o) = o**2 + 6*o - 25. Is 10 a factor of u(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b*b*b)**(-13\/7)\/((b*b**5\/b*b)\/(b*b*b**(1\/18)*b)) assuming b is positive.\nAnswer: b**(565\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-12))\/(4\/(-22) + (-345)\/(-990)). Solve 11 = -2*x - 5*s, -p*s = -0*s + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -49. Let k = 44.334 + -0.334. Let m = k + s. Which is bigger: m or 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6785?\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-6 - (7 - 2)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h. Suppose -4*r + h - 4 = 0. Let y be r\/(-4) + (-1 - -1). Which is bigger: 1\/2 or y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1115*a - 442659. Calculate l(397).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500748075.\nAnswer: 3, 5, 29, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1807 - 4247. Round j to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + (-455)\/20)*(-8)\/138.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50129133*o**3 + 8017963*o**2?\nAnswer: 300774798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181808 and 65837222.\nAnswer: 526697776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 - 78*z**2 + 74*z**2 - 4*z**3 - z + 2*z**3 to the form f*z**3 + h*z + l + x*z**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -137*u - 183980. Let p(o) = o**2. Determine j(p(c)).\nAnswer: -137*c**2 - 183980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 740*i**2 + 4413*i + 28. Give m(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 = 2*m, -3*b - 5*m = -8*b + 65. Suppose -b = -y + 3. Calculate the remainder when 31 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15875, -31752, -47629, -63506?\nAnswer: -79383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 40. Let z = c - 16. Solve -5*q + 29 = -z*a - 6, -3*q + 4 = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2394.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1028396 = -516604. Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 8*s - 0*s - 93 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -18 - (6 + (1 - 1))) + 27.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26074 + 26077. What is the smallest common multiple of 3047 and f?\nAnswer: 9141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 46\/1717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 48*z + 326. Let k be b(8). Solve -5 = 3*c + d + k, 0 = 3*c - d + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/85 and 17\/204135.\nAnswer: 3470295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 22\/39, -2\/31, -4, 2\/11, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * -3077.\nAnswer: -676.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((6 - 11)\/25). Solve h*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/r*r\/(r**(1\/3)\/r))**49 assuming r is positive.\nAnswer: r**(-490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/6 + b**3\/2 - b**2\/2 - 6. Let j(a) be the second derivative of i(a). Find the first derivative of j(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 2. Let v(m) = m**2 - 8*m + 3. Let y be v(7). Let x(h) = h**2 + 2*h - 5. Let w be x(y). What is q(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1934*t**4 + 29*t**3 - t - 233997?\nAnswer: 23208*t**2 + 174*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 389\/43 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 157, 299, 489, 727?\n\"Answer: 24*r**2 + 22*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58060298599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 less than 5117398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1 + (-3980)\/3985) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4784.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*q = 218 + 75, -3*q + 204 = 3*x. Calculate the remainder when x is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391\/138 - -4*1\/(-2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**26*i**(-7\/4)*i)\/(i**(-2\/41)*i\/(i**(2\/7)*i)) assuming i is positive.\nAnswer: i**(29371\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 472527*m**2 - 157511*m**2 - 2 + 1 - 157507*m**2 - 157518*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + o. Let m be s(1). Suppose -h + r + 4 = 0, -4*r = -7*h + 10*h - 5. Sort 2, m, h, -2 in descending order.\nAnswer: h, 2, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45804.\nAnswer: 2, 3, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-10))\/((-1)\/2). Suppose k = -j, -p*j = j + 4*k + 4. Let a be 3\/8*j*8\/6. Solve 0*v = -a*m - 2*v + 10, -4*m - 25 = -5*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 480, -22.\nAnswer: -22, -5, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27905457 >= 27905457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 52. Let d be 2264\/352 - 6 - (10\/(-55))\/(-1). What is the biggest value in -1.9, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5496990 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**2 - 12*i - 7. Let j(g) = 15*g**2 - 25*g - 15. Let l(p) = 13*d(p) - 6*j(p). Let q be 45\/5 + 0 + -3. Determine l(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from clcl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 440*b**3 - 2*b**2 - 584*b**3 - 582*b**3 + 1610*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11002021020111 (base 3) to base 9\nAnswer: -4067214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*l - 5)*(-16*l + 3 + 11*l + l**3 + 0*l**3).\nAnswer: 2*l**4 - 10*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/90)\/((-1)\/(-24)*2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 + -5)\/(-5 - 1 - -4). Suppose -9*n = -v*n + 2. What is the smallest value in 4, n, -74, -5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (6 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3056 - 706 + 3*g - 720 - 5*g - 1595.\nAnswer: -2*g + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-136)\/51*(-9)\/4 + -1. Is (h - (-2 + 1)) + 4417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*t - 4591, 2*q = 3*t - 5402 + 1980. Let l = -519 + t. Let 4*r**3 + l + 152*r**2 + 2291 - 44*r**2 + 972*r = 0. Calculate r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + 6)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 3, -3, -21, -57?\n\"Answer: -d**3 + 3*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27085.\nAnswer: 5, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000182395133 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9 = 3*m, -m = -3*v - 2*m + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 7*r**2 - r + 3. Let z be l(6). Let y(c) = 6*c**3 + 634*c**2 - 220*c - 846. Let j be y(-106). Put z, j, 0.01 in descending order.\nAnswer: z, j, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(-3*sqrt(187)*1 + sqrt(187)))\/(-1*sqrt(44)\/sqrt(4) + sqrt(1584)*2) + 1.\nAnswer: -2 + 10*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2673) + sqrt(33))\/sqrt(11))**2.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 23*d + 27. Give k(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*h - 66*h - 51*h - 69*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 4. Let t = z - -42. Suppose -n + t = -64. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20041, 19323, 18605, 17887, 17169, 16451?\nAnswer: 15733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 18*s**2 + 230*s - 3149. Determine u(15).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*n - 807, 5*n - a + 5*a = 783. Let v = n + -93. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3417 + 3462. Solve 119 + x = 41*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2)\/8)\/((-15528)\/(-82816))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 29622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311 - -365. What is the least common multiple of 9 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-2 + -1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:17 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 59b73 (base 12) to base 7\nAnswer: 1012326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, q: 1, o: 4, c: 1, n: 3}. What is prob of picking 3 n?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*d = -23*q + 27*q - 200, -13*q - d + 302 = -288 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 266126 - -690?\nAnswer: 266816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - ((49 - 12) + -3)) + (87 - 38)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65948813?\nAnswer: 7, 29, 324871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 15*w**2 - 329*w - 17. Let m be q(-17). Solve m*a = 64*a + 63 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7970 + 4569. Let z = y + 5464. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + o - o - 5*o**2 to x*o**2 + m*o + j and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11019 - 2*j + 11019.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 931*317\nAnswer: 295127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 times 3?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-7))\/((-24)\/28). Sort -0.2, -5, o in descending order.\nAnswer: o, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-120) + 1799999\/3*-1. Round o to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29700 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -35?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 93558.01mg?\nAnswer: 0.00009355801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34*(3 - (-3)\/(-2)). Suppose -20*w + 3*w = -a. What is the second smallest value in w, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.16 + -53. Let t = -0.14 - k. Let n = t - 2.1. Which is the biggest value? (a) 0.4 (b) -4\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19512294 to 4 decimal places.\nAnswer: -0.1951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a997871 - 5?\nAnswer: a997867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4508 and 18193.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-60)*(-106)\/(-1855).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328051174*u**4 + 45908856 wrt u.\nAnswer: -1312204696*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16837005, 33674044, 50511121, 67348242, 84185413, 101022640?\nAnswer: 117859929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2178, -8733, -19664, -34971?\nAnswer: -54654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 + 190) - -4. Let i = 621 + w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 726\/53 and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = 1. Calculate the smallest common multiple of b and 116 + -14 + (-3)\/(-1).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 27. Suppose v - 32 = 8. Let c = v - g. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18\/17, -1\/4, 0.4 in decreasing order.\nAnswer: 1, 0.4, -1\/4, -18\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09406692 - 0.09378. Round z to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - o = 29, -5 = -z + 5*o + 10. Is (5 - ((-92585)\/15 - z))*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:58 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25020674221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -648*h + 2. Let r be v(-1). Suppose -4*j - 2*t = 6, 4*j - 3*t - 9 + 0 = 0. Suppose j = 13*a - 8*a - r. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12779, -25559, -38339, -51119, -63899?\n\"Answer: -12780*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -3, 5, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 80. Let t be (-2)\/((-7)\/(z\/8)). Let q(h) = t - 5 + 2 + h. Let s(a) = 12*a**2. Give s(q(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*p**3 - 35974*p**2 + 36*p**3 + 35974*p**2.\nAnswer: 227*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204493 - 127?\nAnswer: 204366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 20, 83, -2, -5, -4 in descending order.\nAnswer: 83, 20, 2, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -27*g + 2. Let c(w) = -26*w + 2. Let y(f) = 4*c(f) - 3*v(f). Let b be y(-4). Round b to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2064, -2063, -2062, -2061, -2060, -2059?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23986350.\nAnswer: 2, 3, 5, 151, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-28.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338198 is divided by 3934.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-7) + -1 - 216440\/(-196)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, r: 8, a: 8}. Give prob of sequence wrk.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/1824*(-1 + -5)*(39 - 41)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 + 447 = -31*d + 1064 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643370 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdd when three letters picked without replacement from ddddcckccd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82821 = 19*j - 903982. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (-128)\/(-24))\/((-6)\/171). Suppose r + 15 = -d, -5*d = 1 + h. Is -9 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 4*t**2 - 2*t - 4. Let l be p(-4). Solve -3*a = 4*c - 8, a - 8 = -l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3766 + -3418. What is the greatest common factor of n and 5307?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100) + 1 - (sqrt(1100) + 1 + (1 + sqrt(1100) - sqrt(1100) - sqrt(1100))))**2 - (-3 + (sqrt(11) - (sqrt(11) + 1) - sqrt(11))*6 + 3).\nAnswer: 26*sqrt(11) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 16*z - 16 = 0, v + 9 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.1037 centimeters in micrometers?\nAnswer: 8221037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u = 143*u. Sort -2, u, -68, 1, 5 in decreasing order.\nAnswer: 5, 1, u, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164006859 by -3841.\nAnswer: -42699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z + 1. Let b(a) = -a**2 - 8*a - 2. Let r be b(-9). Let w be r - -16 - (-1 + 4). Suppose 0 = -c + 3*k, 2 + w = -c - k. Determine f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + (2 - (-8)\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 21*q**2 - 21*q - 5. Let g be j(-20). Suppose -3*x = 6, 3*m + x - g + 5 = 0. Solve -2*c = -4*a + 2, 0 = m*c - c - 3*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -20, 0 = -3*j + 3*a - 3. Suppose -12 = -k - j*u, -k + 0*u + 6 = -2*u. Calculate the least common multiple of 5 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(288) + sqrt(288) + 2 + (sqrt(288) - ((sqrt(288) - (sqrt(288) - sqrt(288)*2)) + -5)) + sqrt(288) + sqrt(288))*2)**2 + -2.\nAnswer: -672*sqrt(2) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4\/7 (c) -1\/3 (d) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 3. Let y be n(-3). Let c(b) = y*b**2 - b**2 + 0*b**2. Let w(i) = -23 - 5 + 28 + 2*i**2. What is w(c(z))?\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 941, 922, 903?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 43, 0, -13, 5, -17, -3.\nAnswer: -150, -17, -13, -3, 0, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -573 + 577. Let w(b) be the second derivative of 9*b + 5\/36*b**o + 0*b**2 + 0 + 0*b**3 - 1\/3*b**5. Determine q so that w(q) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 19*d**2 + 15*d + 51. Let v be p(18). Let w(l) = -l**3 - 5*l**2 - 8*l - 2. Let r be w(v). Solve -12 = -r*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/11 + 9*b\/11 + 10\/11.\nAnswer: -(b - 10)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455 = 652*z + 15761 - 2872 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27360600 + 1?\nAnswer: 27360601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/28)\/((-182)\/21658).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-20))**48*(c\/(c\/((c*c*c*c**34)\/c*c)))\/(c\/c**26))**41 assuming c is positive.\nAnswer: c**(-36818)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -12 + 16 - (-29 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/5 - 39*v**2\/5 + 96*v\/5 - 12 = 0. What is v?\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = 5*r + 98 - 48, -2*w = -3*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3 - 5)*1. Let j = w + 5. Let o(k) = k**3 - 3*k**2 + 3*k. Let x be o(2). Solve -x = -j*r - 2*l, 4*r + 10*l - 5*l - 2 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48551, 95086, 141621, 188156, 234691, 281226?\nAnswer: 327761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 16 = f, 4*b + 15 = -1. Let z = 0 + 1. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 0*h)*(0 + 1 - 3)*(2*h + 0*h + 2 + 3*h) - 3*h**2 + h**2 + 3*h**2 + (-5*h + 3*h + 4*h)*(-4*h + 6*h - 3*h).\nAnswer: 19*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -136. List the prime factors of 2450\/((-20)\/i) - -1 - 1.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + 135\/12. Suppose -r = -3*o + 2*q + 2, 3*o + q = 7. Which is greater: o or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.372, -2\/5, -0.5?\nAnswer: -0.372","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 0.29\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589076 + 294568 - 9*j + 294547.\nAnswer: -9*j + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23782 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w. Let j(x) = 5*x + 4. Let a be j(-3). Let g = -6 - a. What are the prime factors of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -1 + 6 + -4 + -3. Solve 4*k - 2*p + 6 = 0, -2*k = -0*p - c*p + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 184, 384, 586, 790?\n\"Answer: l**2 + 197*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -589.0175 - -589. Round v to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.8666 + 0.2134. Let m = g - 64. Round m to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -18. Sort y, 3, 4 in ascending order.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12776 by 239.\nAnswer: 12776\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*l + 236, 357 = -3*q - 0*q - 3*l. Let s = -72 - q. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -35*l**3 + 40*l**2 - 35*l + 15. Let v(u) = -9*u**3 + 10*u**2 - 9*u + 4. Let m be (-3 - 6\/(-2)) + 4\/1. Let y(r) = m*f(r) - 15*v(r). Factor y(g).\nAnswer: -5*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 34*g - 81. Calculate the least common multiple of j(4) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - 0.07. Let m = w - 0.7. Let g = -11 + 15. Put g, m, -1\/12 in ascending order.\nAnswer: m, -1\/12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.4 (b) 2 (c) -3 (d) -2\/519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*x + 67, -b - 95 = -6*b + 5*x. Suppose 26*z - 24*z - 556 = 0. Calculate the remainder when z is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 5}. What is prob of sequence zz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/8 - 126105*o**2\/8 + 189161*o\/4 - 31527 = 0. Calculate o.\nAnswer: -126108, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 + 2*b - 2*b**3 - 2*b**3 + 2 + 3*b**4 to the form q*b**2 + k*b + n*b**3 + m + u*b**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -22\/2521 (b) 0 (c) 0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3003 by 91.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/9 - 253*r\/3 + 102.\nAnswer: -(r + 153)*(5*r - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -7*g**6\/60 + 7*g**5\/30 + g**2. What is the third derivative of w(l) wrt l?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 47\nAnswer: -31\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -45.5, -29, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 895 by -4.\nAnswer: -895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 5. Solve -3*m - t = -5*z, 2*m + 0*m = -2*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*o + 15, 5 + 5 = 2*o. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/3)\/10)\/(((-1650)\/(-33))\/700).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59325506 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002006 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 68*c**6\/15 - c**5\/30 - 24*c**4 - 160*c**2. What is the second derivative of t(s) wrt s?\nAnswer: 3264*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.984042 centuries to decades.\nAnswer: 99.84042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -31811, 43, 19 in increasing order.\nAnswer: -31811, 19, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 10500684*x - 13783045558482.\nAnswer: -2*(x - 2625171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1654368.\nAnswer: 1\/827184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + u - 1 + (-1 + 2 - 3)*(-2 + 2*u + 2) - u + 6*u + 0*u)*(-2 - 163 - 396)*(u - 5*u + 5*u) to the form v*u + b*u**2 + q and give b.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14654?\nAnswer: 2, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 215717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Let q be h + 1 + (-34)\/10. Let a = 1076 - 1076.42. Is a != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/29, -6, 0.4, -0.03, -0.1 in decreasing order.\nAnswer: 0.4, 10\/29, -0.03, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 29 = -1. Let q(x) = 11038 - 11038 + 0*x**2 - 5*x**b. Let a(g) = -390*g. Let k(l) = 17*l. Let s(h) = -4*a(h) - 91*k(h). What is q(s(d))?\nAnswer: -845*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-18) - (4 + 0) - -2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2065757950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 + (18846\/(-486) - -42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 + 4*d**2 - 2167\/24*d**4 + 0*d + 1\/2*d**3. Let w be x(9). What is w rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f. Let r(x) = 7*x**2 - 13*x + 3. Let l(i) = 6*m(i) + r(i). Let s(k) = -3*k + 1. Determine 2*l(d) - 5*s(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*m - 16*m + 8. Let z be ((-2)\/(-6))\/(-1) - (-56)\/6. Let s be (-428)\/m + 0 + (5 - z). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4048 - -4068. Solve -168*b + 164*b = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604331 to the power of 1\/2, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1445.43377342 and 0.4?\nAnswer: 1445.83377342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -548101, -547644, -547187, -546730?\n\"Answer: 457*u - 548558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*p - 17 = 0, 4 = 4*l + 5*p - 34. Calculate the remainder when 2*(-2)\/4 - -33 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -108, 81, -5, -4, 1, -9 in descending order.\nAnswer: 81, 15, 1, -4, -5, -9, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.6 - 9.22174. Round g to 3 dps.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-671*v - 809*v + 1669*v)*(-2 + 2 - 6*v) to the form i*v**2 + q + w*v and give i.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1280521 and -0.13?\nAnswer: 1280520.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 = -23290*z + 23167*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**2 - 4*g**3 - 8*g**2 + (-4 - 5*g + 4)*(-2*g**2 + 4*g**2 - 3*g**2).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300*40\/600 - (-7 - (23 + -3)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -10 (b) 1\/4 (c) -643379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909717869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = 2*n + 14, -5*v = n + 17. Suppose 2*w - 5*c - 31 = 0, 5*w - n*c = 4 + 26. Solve 3*a - 12 = -5*z - 0*a, -z + w*a - 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -376 - -378. Suppose t*g + 9195 = 2*z + 627, z = -3*g + 4304. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 15. Suppose 3*w + 3*d = 13 - 4, -f*w + d = -5. Suppose 2*x - 27 = -x - 2*o, 5*o - 29 = -w*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 + 349. Let x = 137 - f. Let u(h) = 2*h**3 + 11*h**2 - 2*h - 3. Let c(v) = 3*v**3 + 12*v**2 - 3*v - 4. Let l(k) = 3*c(k) - 4*u(k). Calculate l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 8. Let h = 1367094 + -1367100. Let y(i) = -63. Let c(w) = 4. Let k(u) = 49*c(u) + 3*y(u). Calculate h*v(t) + 7*k(t).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/14 - (130\/14 - 9). Suppose 0 = -5*d + i*m + 83342, -16097 = -d - 3*m + 575. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((75\/(-12))\/5*(-4)\/(-10))\/(14721\/19628).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)*a)\/((a*a**6*a)\/a)*a**(-4)*a\/((a**(-2)\/a*a)\/a) assuming a is positive.\nAnswer: a**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -41.8\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-30)\/(48\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 - 54*l**4 - 2*l**2 + 14*l.\nAnswer: -120*l**2 - 1296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.6 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 1 + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*l + 12*l + 60147. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20832727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 182\/39*(-18)\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -7 - 209806\/(-23). Suppose -59*i = -54*i - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11608, -11535, -11462, -11389?\n\"Answer: 73*r - 11681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 2*u**2 - 23*u + 6. Let m be x(-6). Suppose 4*j + 26*w - 21*w - 50701 = 0, 5*j - 5*w - 63410 = m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - p - 18 = 0, -y + 0*p + 3*p = -6. What is the second derivative of -y*d + d + 2*d - 2*d**4 + 2*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 6*f + 35*f**2 - 35*f**2 - 19*f.\nAnswer: 2*f**3 - 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6819971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 3*b**3 - 214732*b - 3*b**3 - 6*b**2 + 2 + 214730*b. Let m = -18 - -13. What is f(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364492, -2728979, -4093466, -5457953, -6822440?\nAnswer: -8186927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4716018.\nAnswer: 2, 3, 127, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dya when three letters picked without replacement from qdadyyqhyiq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f7 + -290?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 4. Let d be s\/(8\/(-6))*-1. Suppose -4*n + f + 37 = 0, -d*n = -f - f - 24. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/5 (c) 13 (d) -127488 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/81475 and -27\/26072.\nAnswer: 651800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, p: 3, f: 2, g: 4}. What is prob of sequence fp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3324551 and -1?\nAnswer: 0.3324551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*v, 0 = -305*h + 310*h - 5*v - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 7. Suppose -5*p + 6 = -2*u, -f*p + 2 + 2 = -3*u. Suppose 0*l + u*l + 26 = 3*k, 4*k = 2*l + 36. What is the remainder when 29 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3808, -7508, -11228, -14962, -18704?\n\"Answer: i**3 - 16*i**2 - 3659*i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 8*r**2 - 7*r + 4. Let a be t(-6). Let f be 5\/((-5)\/a) + 3. Let z = f + -16. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/1601 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14613 (base 7) in base 4?\nAnswer: -333231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1144 - 358. What is the lowest common multiple of p and 54?\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*r**3 + 626692*r**2 + 55942920*r - 1.\nAnswer: 108*r + 1253384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 1730547*a + 1730544 = 0?\nAnswer: 1, 576848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 17*y - 3*y**2 + 42*y - 21*y - 3*y**3 + 3. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/17, -2, -3, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -715 + 833. Suppose 10 = 4*v - 14. Suppose -v*i - m = -382. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 561, -1, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 699*k. Let x(z) = -z. Calculate c(x(h)).\nAnswer: -699*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1149?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -242. Let y = d - 104. Find the first derivative of 6*w**2 - 1 - 43*w + y*w wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2456.377 and -0.76?\nAnswer: 1866.84652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24011, -24021, -24039, -24065, -24099, -24141, -24191?\n\"Answer: -4*v**2 + 2*v - 24009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.054, 2\/3, 2\/7, 2, 1\/3, 9 in increasing order.\nAnswer: -0.054, 2\/7, 1\/3, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 12. Let c be j(12). Suppose -97 + c = -t. What are the prime factors of t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 0. Let f = v - 115. What is the common denominator of ((-4)\/((-12)\/f))\/30 and -37\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*z + 7, o + z - 8 = 0. Suppose -1 - 7 = -2*u, 5*r = -o*u - 248. Let l = -23 - r. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6615 and 9450.\nAnswer: 66150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000040888506 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 21*f**3 + f**2 + 23*f**3 - f**2 + 2 - 4*f. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 47, 60, 39, -28?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t + 119. Let o be d(7). Let h be 24\/36*o\/6. Suppose -5*n + 3*n = 0. Put n, -5, h in decreasing order.\nAnswer: h, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 4*i**3 + 3*i**2 - 2*i - 2*i - i**3 to n*i**2 + t*i + y*i**3 + b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let l be h(-7). Suppose -l*n + 186 = 6. Let a = n + -41. Solve 0 - a = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/36 and -109\/2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeccwcwweccewecwcz. What is prob of picking 3 w and 1 c?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*((4*(0 + sqrt(11)))**2 + sqrt(11) - sqrt(11) - (-1 + sqrt(11) + 2)).\nAnswer: -178 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-15)*133290\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h\/((h\/(h**(2\/9)\/h))\/h))\/((h\/h**(-3\/2))\/(h\/(h**(1\/7)*h))))**(-25) assuming h is positive.\nAnswer: h**(10775\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2887\/21518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 1 - 1)*(-2*u + 2*u**3 + 2*u) - 130*u**4 - 738*u**3 + 738*u**3 to s*u**3 + a*u**2 + b*u + c + w*u**4 and give w.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.93 + 192.07. Let q = r - 197.4. What is the nearest to 2 in -4\/5, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 897639722572 - 2.\nAnswer: 897639722570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(2 + g - 2) - g + 0 + 0 + 1 + g - 1 + 0 - g + 0 + 119 - 22*g - 119 in the form j*g + i and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13292, -400 in ascending order.\nAnswer: -400, 4, 13292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) -4 (c) -410870\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738681?\nAnswer: 11, 248971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 435 * -918.\nAnswer: -399330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 63.0514.\nAnswer: 81.96682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 = -2*y - 4, 0 = -w + y + 1. Suppose -5*z = 2 - 12. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l + 2. Let c be k(5). Let m = -44 - c. Let i = m - -14. Sort i, -2, 0.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/35)\/b)**(3\/4)\/(b*b**(4\/23)*b*b**(-10)*b) assuming b is positive.\nAnswer: b**(11059\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1002 + -174. Let s = -690 - x. Is (-4)\/(-14) + s\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*t**4 - 10*t**3 - t**2 + 172*t + 291930.\nAnswer: 12*t**3 - 30*t**2 - 2*t + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/33)\/(1\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w + 3*w**2 - 5*w**2 - w**4 - 2*w**4 + 2*w**4 as p*w**3 + c*w**2 + f*w + j*w**4 + i and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125) - (0 + sqrt(5))*1)**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*u**5 + 5*u - 7.\nAnswer: 4580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 832200 rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -50*c - 1044. Give t(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5187)\/28)\/(6\/144). Is h smaller than -4447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 3268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -359*o + 4685. Give p(15).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1347350.739 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 10831077.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -266.16 + 266. Let t = l - -0.17. Which is the third biggest value? (a) 4 (b) t (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4192)\/(-1050) + (-60)\/15. Let b = m - -50933\/1050. What is the common denominator of b and -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59685 and 50370.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(45\/15)*377\/(-65)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 4, c: 1, w: 1, s: 2}. Give prob of picking 2 k and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 13622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 11, f: 2, e: 2}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9386.3 + 9892. Let p = -506 + z. Which is the third smallest value? (a) -0.04 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*c + 4*q = -180*c + 18, -4*c - 16 = -4*q. Let s be 0*((-10)\/4 - -2). Suppose -t + 5*i + 18 = s, -2*i + 0*i - 9 = -t. Is c less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -437, -889, -1379, -1925, -2545, -3257, -4079?\n\"Answer: -3*z**3 - z**2 - 428*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -2*r. Let a = -121 + 171. Suppose -a = -r*y - 0*y. Solve 4*m = -m + y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010044 to the power of 1\/2, to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83322*r**5 - r**3 - r**2 + 6879*r - 5 wrt r?\nAnswer: 1666440*r**3 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 11) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40124339 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + -10 - -2*(-3)\/(-15). Factor x*b**2 + 0*b - 2\/5.\nAnswer: 2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 7*q + 0 + 0*q**4 + 1\/90*q**5 + 2*q**2 + 0*q**3. Let s(i) be the first derivative of u(i). Let s(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(40)\/sqrt(5)) - sqrt(24))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4+-282181.1\nAnswer: -282185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6*n + 2800000 = 0. Round n to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8777533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1 + 2*b + 18 - 9 - 8. Let d(j) = -511*j**2 + 2. Give d(a(m)).\nAnswer: -2044*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*b - 1667 = -696 + 2829 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/36*30*8\/10. Let y(s) = -s**3 + 2*s**2 - 2*s + 1. Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 3*f - 3. Let l(h) = -1 - 5*h**2 + 6*h**2 + 7*h + 3. Let r be l(-6). Is i(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 977*x**3 + 4*x**2 - 363*x**3.\nAnswer: 614*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**6\/120 + q**5\/30 + q**4\/24 + q**3\/3 + 2*q**2. Let z be f(-2). Solve z = -3*l - 5*m - 4, 5*l = -2*m + 1 + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 445.9596cm?\nAnswer: 4.459596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15486 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 1:34 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 34. Let f = -50 + 24. Let a = f - -27. What is the nearest to a in r, 0.5, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b**4 + 2*b**4 + (-2*b + 2*b - 2*b)*(-b**3 + b - b) - 2*b**2 + 2*b**2 + b**4)*(8*b + 0*b - 11*b - 2).\nAnswer: -15*b**5 - 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*x**2 - 1)*(2*x + 2*x + 0*x)*(3*x**2 - x**2 - 4*x**2).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*y**3 + 21*y - 29*y**3 + y**4 - 3*y**2 + 11*y**3 + 11*y**3 + 5*y**2 as q + w*y**2 + k*y**4 + m*y + z*y**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 24. Let c(v) = v**3 - 2*v**2 - 3*v + 2. Let i be c(3). Let s(g) = -g**2 - 6*g. Let q be s(-5). Solve -i + 6 = 4*w, 3*w + l = q*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fov when three letters picked without replacement from xoxfvxffdfffoddx?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 31 - 3)*(v**5 + v - v).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let u(d) = 6*d**2 + 63*d + 24. Let f(w) = 2*w**2 + 21*w + 8. Let n(m) = -7*f(m) + 2*u(m). Let y be n(-10). Calculate a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163011731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i**2. Let t(c) = -440*c**2. Calculate 45*n(r) + 2*t(r).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59469\/2 - -29734. Which is the closest to -0.16? (a) 0.2 (b) p (c) -1 (d) -1\/120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-92)\/(-6))\/2 - 2\/3. Suppose 0 = 5*y - n*y + 32. Suppose 0 = -13*s + 17*s - y. Solve -2*k + 2 = -s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126146.638 rounded to the nearest one hundred?\nAnswer: -126100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -135*w - 3512. Give r(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:36 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.456 - 1.956. Which is the fifth smallest value? (a) 0.4 (b) q (c) 0.1 (d) 4 (e) -4.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/4 - 171*v**4\/4 + 1003*v**3\/4 - 2157*v**2\/4 + 496*v - 165 = 0 for v.\nAnswer: 1, 2, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/15)*n*n)\/n)\/((n*n**(4\/9))\/n)*n*n**11*n**(-5) assuming n is positive.\nAnswer: n**(391\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -55, -151, -297, -499?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(30)\/sqrt(6))**2 + sqrt(125) + -4.\nAnswer: -26 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7884309.\nAnswer: 3, 2628103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 37*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = t - 16, 0 = 5*t - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5634, 5714, 5794, 5874, 5954, 6034?\nAnswer: 6114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10353*j - 20795. Give n(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498419.\nAnswer: 3498419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 13. Let b be h(10). Suppose 6*x = b*x - 2. Solve x*i = 5*g - 0*g - 15, -g + 10 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 13. Let m be 3 + (-6 - (0 + 3)). Let y be p(m). Calculate the highest common factor of 9 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/517 (c) 4.77 (d) -3\/4 (e) -2\/5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 37 = -53 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 418752641*c**3 - 126598206*c**2 wrt c?\nAnswer: 2512515846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13230001 - -11?\nAnswer: 13230012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-34) + 0 - 1. Let q = 19 - 18. Let t be q - 1 - (-4 - -4). Is d < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131598799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432204 (base 7) in base 3?\nAnswer: 10211011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7514856506.\nAnswer: 2, 31, 1571, 77153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271395 (base 11) to base 15.\nAnswer: 8650c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/2, -3, -8\/5, 10.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/3 + 2098574*f\/3 - 4197140\/3 = 0?\nAnswer: 2, 1049285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4392 = 1287*c - 1282*c + t, -848 = -c - 4*t. Suppose k + 3*k = 4*g - 332, 317 = 4*g + k. Calculate the highest common factor of c and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001711 to six dps.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/2 - 13*h**4\/8 + 9*h**3\/8 + 47*h**2\/8 + 35*h\/8 + 3\/4 = 0. What is h?\nAnswer: -3, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26215714, 26215709, 26215704, 26215699, 26215694, 26215689?\n\"Answer: -5*d + 26215719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n - 35. Let w be r(4). Let a be (-2 - -27)\/w - 1. Solve 4*l + a = 4*i + l, 3*i + 2*l + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3, -22, -5, -2 in descending order.\nAnswer: 19, -2, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3\/7 - 2152*t**2\/7 + 184892*t\/7 - 182744\/7 = 0.\nAnswer: 1, 106, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ekkyyykeeko.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8 - m**3 + 2*m + 3*m - m**2 + 7*m**2. Let h(u) = u**2 + 3*u + 7. Let v be (11 - 5)*(-2)\/4. Let i be h(v). Give j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06408 + 12.06408. Let u = -4.2 + 0.2. What is the closest to u in 2, f, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2121*u - 3 + 1880*u + 3 - 3089*u to n*u + d and give n.\nAnswer: -3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 521, 695, 787, 779?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1860, 1956, 2110, 2322?\n\"Answer: 29*a**2 + 9*a + 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c3ba6 - -2?\nAnswer: -8c3ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*i + 553*i + 447*i.\nAnswer: 2323*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 860545 or 860562?\nAnswer: 860562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462280 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(5\/((-5)\/2)). Suppose 3 = p - o, 2*f - p = 35. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*u + 673*u = -829*u + 2499*u - 10212 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 7*o + 4. Let k(j) = 3*j - 11. Let a be k(6). Let s be y(a). Let n be (-73 + (s - 6))*400\/6. Round n to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + 2.97. What is the biggest value in c, 1\/6, -5, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 + 6*c + 10. Let q be m(7). Suppose -q*o + 168 = 4*o. What is the remainder when 119 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 + 7*r. Let u(f) be the second derivative of -3*f**4\/4 + 13*f**3\/6 - f**2\/2 - 4297*f. Give 5*k(d) - 3*u(d).\nAnswer: 2*d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39639, 39637, 39635, 39633?\n\"Answer: -2*n + 39641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -198421.0515381 from -0.59.\nAnswer: 198420.4615381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**4 + 5*m**3 + 15*m**2 - 3*m - 12. Let a(p) = -8*p**4 + 5*p**3 + 15*p**2 - 2*p - 13. Let v(k) = 2*a(k) - 3*q(k). Factor v(f).\nAnswer: 5*(f - 2)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72977966.\nAnswer: 2, 43, 379, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293 - -326. Suppose -w*x = -32*x - 4. Solve -2*y - x*z = -8, -4*y - z - 8 = -3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 + 3.8. What is the nearest to -2\/9 in 1\/3, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000455278 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -408 - -677. List the prime factors of o.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -9459.\nAnswer: -9459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 32*n**2 + 60*n.\nAnswer: 4*n*(n - 5)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 take away -0.0473044742?\nAnswer: 0.4573044742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 2, -20646, 1 in decreasing order.\nAnswer: 2, 1, 0, -3, -5, -20646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 12*g**2 + 15*g + 5. Let x be l(11). Let d = 48 - x. Sort d, 5, 3, 4 in increasing order.\nAnswer: d, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z = 2*n - 61*z - 54, z = n - 32. Calculate the remainder when 61 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187\/10 + 90\/20*2\/30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27551627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(39))\/sqrt(432).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 802 - 9623\/12. Find the common denominator of j and -31\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/167154086 and 39\/104081.\nAnswer: 167154086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 3*t\/2 - 9\/2.\nAnswer: 3*(t - 6)*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-150)\/(-360)*4\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 greater than or equal to -14186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1576223*n**4 - 120*n**2 + 428394731?\nAnswer: 6304892*n**3 - 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (876\/330 - 4) + 735\/(-165) + 5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-112))\/((-1)\/(-4)). What is the third biggest value in 3, -0.4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/11130 and -145\/2226.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -397. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4210 or -4207?\nAnswer: -4207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 3*y**2 - y - 57)*(1 - 4 + 2) in the form o*y + g*y**2 + c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.20998 micrometers to centimeters.\nAnswer: 0.000120998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 810.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2913236437.\nAnswer: 593, 4912709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18e034 + a?\nAnswer: -18e02a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -37, -25, 17, 3, -267 in increasing order.\nAnswer: -267, -37, -25, -4, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*s + 14*a - 7*a + 321, -2*a + 69 = -4*s + 393 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4850 = 144*a + 4562 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/1*861\/41. Calculate the greatest common divisor of 15 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m**5\/3 + 592720*m**4\/9 + 959806*m**3\/9 - 254036*m**2\/3 - 677464*m\/9 - 112912\/9 = 0 for m.\nAnswer: -2, -1\/3, -2\/7, 1, 14114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5\/2*9\/(18\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123411534 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-12)\/(-84461)) + (-1)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 7*f**2 - 7*f - 4. Let l be n(-6). Suppose -l*d - 2*d = 0. Factor d*u**4 + u**2 + u**3 - 2*u**3 + u**5 - u**4.\nAnswer: u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let w(r) be the first derivative of 0*r + 0*r**2 + 3 - 1\/3*r**3. Determine g(w(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)*((-2)\/(-4) + -3). Put 3, -1, s, -3 in decreasing order.\nAnswer: s, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -39*m. Let i(k) = -570555*k. What is -5*i(p) + 73620*q(p)?\nAnswer: -18405*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 245 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4141455103 to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-216) - (-2)\/9)\/(-9 - -7)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 = 3*i, 11 = 3*i - 2*i + 4*s. Which is the second biggest value? (a) -0.3 (b) 2 (c) -2\/25 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 3*j + 2*j**2 - 5\/4*j**4 + 0*j**3 + 45. Let l = 15 - 11. Let u(m) = 6*m**3 - 5*m - 4. Calculate l*k(b) + 3*u(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6576032307 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*p + 27211 - 27185, 4*s = -0*s - 4*p - 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*k**2 + 18 - 31 + 70 + 3*k wrt k.\nAnswer: 14*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*t - 43, 24462 = 2*t - 2*i + 24482 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*n = 0. Let k = n + 8. Solve -2*j = 2*z, -j = -5*z + 2 - k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from {t: 2, l: 1, f: 2, n: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3543 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + 22*w - 14*w. Let g(y) = -2*y**2. What is g(c(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/250 and -83\/1548050.\nAnswer: 7740250","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 45 = -3*o - 40*a, -36 = 3*o + 2*o - 595*a + 593*a for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -40. Calculate the least common multiple of 24 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(360\/10))\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**4 - 3*g**4 - g**4 + (-g**4 - 3*g**4 + 2*g**4)*(-3 + 6 - 2) + (0*g**2 - 3*g**2 + 2*g**2)*(g**2 - 2 + 2) + g**4 + 2*g**4 - g**4.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 40 = -25, 3*k = -5*y - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -2.2. Let a = 123.05 - 123. What is the second smallest value in p, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -34*c**2 + 274*c - 798. What is v(3)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 4*y**4 - 7*y**3 + 6*y**2 = 0. What is y?\nAnswer: -6\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58951297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 0*n + 2*n. Let y(p) = -p**2 - p. Let x(h) = -2*h - 14*h**2 - 12*h**2 + 22*h**2. Let f(i) = 3*x(i) - 6*y(i). Calculate g(f(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 453? (a) -2 (b) -0.01 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26656 divided by 952\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 28*v + 145. Let o be z(-5). Let u(h) = 2*h**2 + 6. Let t(a) = 2*a**2 + 7. Give o*t(f) - 6*u(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31021191.\nAnswer: 3, 1148933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/436742985 and 101\/46950?\nAnswer: 4367429850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 5*v**2 - 3*v + 5. Is 2 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -546, -1931, -4630, -9081, -15722, -24991, -37326?\nAnswer: -53165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/4 of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -105*r**2 + 1. Let k(d) = 62*d. Determine k(o(v)).\nAnswer: -6510*v**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -292, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*v - 3*v. Suppose 3*u + v*d = 2055 - 531, 2*d = 3*u - 1536. Suppose -2*b = 8*b - u. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19144 (base 11) to base 15\nAnswer: 7e0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 4*h + 21, 2*y + 32 = -3*h. Let u = 18 + y. Suppose -u*z = 1 - 41. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -18*u + 198. Let n be m(11). Let r(h) be the third derivative of h**2 + 0*h**4 - 1\/15*h**5 + n + 0*h + 0*h**3. Let c(g) = g. Determine r(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 73 = 14*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/109537 and -91\/6.\nAnswer: 657222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.4000505 - -71.4. Round s to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kmmkmmmmkmmkkmmmkm?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/8658 and -89\/130.\nAnswer: 43290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 213 + 172 = 0. Let h be (-11)\/n + (-27)\/(-7). Suppose 0 = h*c - 12, -2*w - 87 = -5*c - 478. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 46. Suppose 5*l = -3*n + 11, -n - 3 + 0 = 0. What is the least common multiple of k and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:37 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(3 - 2)\/(-1). Let c be (-6)\/(x\/(-2)) - 5. What is the units digit of (-1)\/2 + (-15)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/30 - 23\/5. Let l(j) = -6*j - 3. What is l(y)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 43 = -4*z. Let k = -388 - -363. Let j = z - k. What is the highest common divisor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/4 of a day?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 9 - 2*i + 9 - 22 as v + t*i and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:28 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l = -57581 + 213471. Suppose 5 = 2*r - r. Suppose -2*m = -r*o - l - 1257, 3*m + o = 4628. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510388615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 23. Suppose 13 = -b + 3*j + 52, 5*j - o = -b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20189101133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126820842 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 11\/12*j**4 + 1\/3*j**3 - 17\/2*j**2 + 4 - 4*j. Differentiate x(f) wrt f.\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -382 (b) -0.01 (c) 268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2324*w - 546141. What is k(235)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.74853 hours?\nAnswer: 164.9118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.469508304 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*f + 101 - 36, v = 5*f - 85. Let c be (-32)\/(-6)*f\/4. List the prime factors of ((-5)\/(-10))\/(1\/c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a + 2*a - 3*a. Let u(r) be the second derivative of r**5\/30 + 2*r**3 - 11*r. Let q(w) be the second derivative of u(w). Give q(o(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 + 2*n + 14. Let r(a) = -4*a**2 - a - 5. Let l(v) = 3*o(v) + 8*r(v). Let b(p) be the first derivative of l(p). Is 3 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83497 to the nearest 1000.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -88, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51488613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - 5.04. Let x = 11 + j. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -22 (c) -0.0735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1479*b - 38984 - 8344 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 459821669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 28*g**2 - 65*g + 11. What is u(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + h = -2*h + 22, 0 = -4*h + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2574500*m**2 + m + 287112156 wrt m?\nAnswer: 5149000*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 555096.4mg in micrograms?\nAnswer: 555096400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -2235, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 2729*w + 546.\nAnswer: -(w - 546)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 - (2 - (-35)\/(-3)). Suppose -c*o + 4523 = 1403. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/48*-2*3\/(-3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17*s**3 - s**2 + 2*s - 1. Calculate the remainder when 67 is divided by c(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96863, 193730, 290597?\nAnswer: 387464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.5. Let f = -0.8914 - 0.1086. Which is the second smallest value? (a) 4 (b) 2\/5 (c) f (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 1528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550154 is divided by 7312.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-48))\/((-14)\/(-28))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456481 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1171 - -0.117116941. Round f to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2128 and 560?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let n(d) be the second derivative of -2*d - 5\/12*d**4 + 0*d**3 + 0 + 0*d**2. What is s(n(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1021 - 620. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 29 = 5*q. Let w = 43 - q. Calculate the greatest common divisor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1452 (base 8) to base 3\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o. Let a(v) = 1248 - 632 - 616 + 2156*v**2. Calculate a(i(r)).\nAnswer: 8624*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -362 divided by 43382\nAnswer: -181\/21691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675838?\nAnswer: 2, 19, 44101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let x(i) = 14056*i**2 + 2*i - 1. Calculate x(a(q)).\nAnswer: 14056*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15766680 divided by -15830.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 8*h - 2. Suppose -2*x + 31 = 129. Let p = x - -57. Suppose -4*q = -5*q - p. Give d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(5) - sqrt(180))*-4)*1.\nAnswer: -4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 y, and 1 e when four letters picked without replacement from {e: 5, c: 3, y: 8}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4 + 10*y - 7*y + 1. Suppose -4*r - 4*j = -32, -5*r = -5*j - 16 + 6. What is the remainder when f(r) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - (2 - 3)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.7 + -7.4. Let k = 3.8 - 0.8. Which is the nearest to k? (a) 1 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 2*n**4 + 6*n**4 + (-1 - 1 + 4)*(0*n**4 + 6*n**4 - 4*n**4) + 3*n**4 + 0*n**4 + 0*n**4 + n**4 - 3*n**4 + 3*n**4)*(-185*n + 124*n - 153*n).\nAnswer: -2140*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 51*l + 102*l = 1012. Calculate the highest common factor of l and 9053.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/75 + 10381\/18150. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2505 - 0.25047972. What is p rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*y + 1249 + 6785 = 0 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z. Let j be (1\/2)\/((-4)\/(-24)). Let t = j + 2. Let k(m) = -11*m. Determine t*k(o) - 8*u(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2023142 millilitres?\nAnswer: 0.0002023142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -28. Let o be 234\/t - 3\/5. What are the prime factors of (-102)\/(-15) + 3\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 3, 59, 0, -3 in decreasing order.\nAnswer: 59, 3, 0, -3, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 39 - (6 - (2 + (-8 - 2)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*i - 232 = -6, 6 = -2*i. Calculate the greatest common divisor of x and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43394144 is divided by 21697072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6 + 5*u - 1 - 4*u. Let f be x(-5). Let h = -10 - -22. Solve f = 2*j - h + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.130509cm in kilometers?\nAnswer: 0.00001130509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71\/5 of a centimeter?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/71 (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q - 3. Let l be h(1). Put l, 5, -6 in descending order.\nAnswer: 5, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:14 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b. Suppose -16 = f - b*f - 3*n, 0 = 2*n - 8. Let s = -251\/4 + 63. What is the second biggest value in 2, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 times -0.1?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2416.60884395 and -513?\nAnswer: 1903.60884395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 84*c + 1475.\nAnswer: (c + 25)*(c + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let s be b(-1). Let a = 2 + s. Suppose -u - a*p + 119 = 0, 0*u = 2*u - p - 265. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -343*j**4\/12 - 334*j**3\/3 + 156*j. What is the second derivative of x(g) wrt g?\nAnswer: -686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/221789174?\nAnswer: -3\/221789174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991897447 to the nearest integer?\nAnswer: 31494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.736577 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25028197 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 9 = -2*x + v, 3*x - 2 = -4*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + ((-1218)\/(-3))\/7. Let j = -4 - -9. Suppose 10*n = j*n + f. Solve 0 = 2*v + t + t - 14, 4*t - n = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + t = -32*h + 8, 6 = 5*h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -164454, -657821, -1480090, -2631261?\n\"Answer: -164451*f**2 - 14*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1026, 1025, 1024?\n\"Answer: -j + 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 4*q**2 - 2*q**2 + 1 - q**2. Let t(c) = -c**3 + 13*c**2 + c - 15. Let v be t(13). Calculate i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/3)\/d**(-8\/5)*((d*(d**(5\/4)\/d)\/d*d)\/d)**(2\/71) assuming d is positive.\nAnswer: d**(6263\/2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(16\/11 - 2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -182. Let f(n) = 2*n**2 + 4*n + 3. Let b be f(-2). Let r = 25\/63 - 2\/7. What is the second biggest value in r, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2054755\/11 or 186795?\nAnswer: 2054755\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rgq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3 + 7. Suppose 2*s - i = 3, -2*i + 7*i = s - 15. Suppose 5*m + g - 132 = 0, s = -3*m - a*g + 3*g + 76. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -771 + 2270. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 209, 223?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * -28724\nAnswer: -71810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701248183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 44. Let z(d) = 4*d. Let h be z(1). What is the lowest common multiple of m and (4\/1)\/h + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 50. What is the third biggest value in i, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - t + 10 = 3*f, -4*f - t = -24. Suppose -3*m - 3 = -3*k, m + 4*m - 9 = -2*k. Let c = k + -3. Put 2, c, f in decreasing order.\nAnswer: f, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 1. Let k(i) = -i**3 + 11*i**2 - 11*i + 14. Let d be k(10). Let h be s(d). Calculate the greatest common factor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 3*z + 0*z = -54*n + 34*n + 96, 5*z - 192 = 4*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*t - 4, 0 = 7*t - 5*t - 4*q + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -47694428 divided by 2\nAnswer: -23847214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/54 + 872\/6. Let q = -143 + d. What is the second derivative of -123*s**2 - 7*s**q - 14*s + 123*s**2 wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3204.944 kilometers?\nAnswer: 3204944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 2\/67, 6, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-2)\/((-10)\/1545) - (1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 20?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2582 = -4*g, 2*u - g - g + 1022 = 0. Let m = u + 1469. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30\/343 + 38219\/6174. Calculate the common denominator of w and -93\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6634114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -578?\nAnswer: -22\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62161\/376 + -1319\/8. What is the common denominator of 33176\/(-3276) + 4\/(-42) - -5 and y?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762580 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*(c*c*c**14*c)\/c*c)\/c))\/((c**(1\/6)*c)\/c)*(c\/(c*c*c\/(c*((c*c**(-17))\/c)\/c*c*c)*c*c*c))\/c**(1\/4) assuming c is positive.\nAnswer: c**(-425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15351 and 306.\nAnswer: 92106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 k when four letters picked without replacement from {k: 6, a: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 259642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 13290622 in increasing order.\nAnswer: -3, -2, 13290622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 - 1\/6*i**6 - 31\/12*i**4 + 0*i**3 + 24*i + 3\/4*i**5 + 0*i**2. What is the third derivative of d(g) wrt g?\nAnswer: -120*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 2*q**3\/3 + 3*q**2 + 2*q - 1. Let g be s(-4). Suppose 0 = -2*n - 0*n + g. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) -22 (c) -4 (d) 59 (e) 56 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5891576.6 days?\nAnswer: 841653.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -3*o, -5*u + 2*o + 2 = 4*o. Let y(i) = -5*i - 5. Let g be y(-2). Suppose 0 = -g*r + 5, 217 = 5*n + u*r - 5*r. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 15*g + 9. Let k be x(-12). Is 0\/(2\/(-1)) - k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/30881718 and -91\/2941116.\nAnswer: 61763436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 25 = -4*p, 5*p + a - 13 = -33. Let h be ((-2)\/(-6))\/(p\/(-240)). Suppose -h*c + 17*c = 80. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -338536336.7 to the nearest one million.\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1255, 1263, 1277, 1297, 1323?\n\"Answer: 3*g**2 - g + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 30020?\nAnswer: 30202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9545.44 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-195)\/(-75) - 28\/(-70). Solve -n + 10 = -2*t + 3, -4*n = l*t - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 44*j - 195. Let u be q(39). Solve u = -6*b + 22 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16685 is divided by 5552.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 60*h**3 - 4*h**2 - 10*h + 36. Is y(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000293236 rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 6. Let k = x - -2.6. Put k, 1\/7, 5 in ascending order.\nAnswer: k, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soonoonnsononossssn. What is prob of sequence non?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.0598cm to micrometers.\nAnswer: 980598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -18456670 and -18456672 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5235\/(-9)*7038\/(-85)?\nAnswer: 2, 3, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.675 + 0.325. Let m be (-2 - 10\/(-6))\/(-1). Sort -1\/10, u, m.\nAnswer: -1\/10, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1373533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:52 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10755 - -10784. Solve -5*x + j = g, 40 = 4*x - 12*g + 17*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - o. Let m be s(1). Suppose 0*u - 4 = -m*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - m**2 - 3)*(3 + 1 - 3)*(-18 + 3 - 19) to the form o*m**2 + t*m + r and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 84 in decreasing order.\nAnswer: 84, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 36 - 29 + 0 - 2*v - v - 3*v - 2*v + 2*v + v + (-4 + 5 + 2)*(-3*v + 4*v - 3*v) to t + w*v and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215.7*30.8.\nAnswer: -6643.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -0.7103532?\nAnswer: -11.3656512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14650758 is divided by 128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/7 - 1188*g**3 - 8719002*g**2\/7 - 22132440*g - 694153800\/7 = 0?\nAnswer: -2070, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 2*f - 8. Let s be z(6). Suppose -5*r + 3 + 5 = s*o, 3*o - 2*r - 6 = 0. Suppose -4*x = -o - 18. Solve x = -3*a + 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45913795, 45913776, 45913757, 45913738?\nAnswer: 45913719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-162.\nAnswer: 9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 1. Let x be h(1). Suppose 2*u = -x*u + 25. Let c = 48 - 36. Solve -u*y = -y + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, 1\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-5))\/(((-13)\/(-45))\/13). Suppose 0 = -4*v + 8 + g. Calculate the highest common factor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/3 - 185356*u**3\/3 - 11488165*u**2\/3 + 3891174*u = 0.\nAnswer: -185294, -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8432374.\nAnswer: 1\/8432374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -552250*c**5 + 6625590*c**4 - 248343309*c**3\/10 + 137745304*c**2\/5 + 140919*c\/2 + 45 = 0. Calculate c.\nAnswer: -3\/2350, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*1*-6 + -5 + 4 + -2*(-1 + 2*sqrt(112))*-4.\nAnswer: -9 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqjs when four letters picked without replacement from {q: 2, j: 1, s: 1, a: 5, k: 7}?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/6)\/(1\/(-2)). Let q be (55\/(-22))\/((-2)\/8). Solve z*b + 2*i = -3*i - 25, -b - 2*i = q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9619, -9645, -9709, -9829, -10023, -10309, -10705, -11229?\n\"Answer: -3*n**3 - n**2 - 2*n - 9613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 310 - 310.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1314 divided by 219\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/2 + x**3\/3 - x**2\/2 + x + 1. Let z(o) be the first derivative of 4*o**2 - 58*o + 46. Let q be z(7). Give k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5815007\/224 + -25960. What is the common denominator of 11\/84 and k?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14836 + -55b?\nAnswer: 142a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/207? (a) -0.3 (b) -4261 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 159*d**2 + 81*d - 95. Give x(80).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h - 57 = 11 + 133 + 129 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*g - 1\/3*g**2 + 1\/6*g**5 + 1\/6 + 1\/6*g**4 - 1\/3*g**3 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/112 - 1*76\/504. Sort b, -0.7, -19.\nAnswer: -19, -0.7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 99. Let z = -45 - u. Let c = -1 - -2. Is c bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6213497.\nAnswer: 5\/6213497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 23*t - 2. Suppose -2*w - 72 = -102. What are the prime factors of f(w)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2699 - (4\/26 - 4\/26). Are -1 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -5*x**3\/9 + 14*x**2\/3 - 5*x + 2082. What is p in i(p) = 0?\nAnswer: 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34539 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-147) - 93\/(-153).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37178, 74353, 111526, 148697, 185866?\n\"Answer: -h**2 + 37178*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjytyjogigjiy. Give prob of sequence jj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3\/2, 0.19249457, 3\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - -1367?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 15*2*(-4)\/8. Let d = j - 11. Sort d, -5, 6.\nAnswer: -5, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 65*o - 75. Calculate q(-21).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p**2 + 38*p + 221. Calculate i(-11).\nAnswer: 1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-25)*15*5*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*v + 8, 2*v + 2*a + 2*a + 4 = 0. Let d(i) = -i - 4*i - 4*i - v*i + 4. Is 11 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(3*9\/(-135))\/(13\/65).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -49 + 17. Let r(p) = p - 5. Is r(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.16 (b) -3 (c) 755\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q. Let s be 8\/12 + (-4)\/(-3). Suppose s*c + 1 = -5. Let o(k) = k**2 + 3*k + 3. Let l(z) = -z - 1. Let x(b) = c*l(b) - o(b). What is w(x(n))?\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/3 (c) -718\/3 (d) -96 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*v - 370 = -426*v. Which is the nearest to -3.3? (a) v (b) -3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -832949, -1665883, -2498801, -3331697, -4164565, -4997399, -5830193?\n\"Answer: p**3 + 2*p**2 - 832947*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -d + 15. Let x = 52 - d. Let n be -2*(-1 - 36\/x). Which is the nearest to -1\/5? (a) 2\/7 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/11)*g\/(((g\/g**(-2\/9))\/g)\/g)*g*g)\/(g**(-5\/3)*g**(2\/9)) assuming g is positive.\nAnswer: g**(598\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -378.\nAnswer: -378, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.149 and 0.0538.\nAnswer: -0.0080162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 794875463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2.3, 0.\nAnswer: -49, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -0.13317692.\nAnswer: 0.73317692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8002.488 years to months.\nAnswer: 96029.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124+-708\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-108)\/(-27) + (-2 - 1). Do i and -2\/593 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 - 2864*n**3\/5 + 36892*n**2\/5 + 2864*n\/5 - 36894\/5 = 0.\nAnswer: -1, 1, 13, 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 314 and 312 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(1 - 247*i**3 + i**3 + 108*i**3) to the form y + l*i**3 + o*i**2 + m*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/7 - 4\/(-14). Suppose -10*g + 16*g - 18 = 0. Suppose -q = g*p - 11. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3041 + -1444?\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b40c3 (base 13) to base 11\nAnswer: 4347a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/(-147)*(-1)\/(-4)*-1. Suppose 4*f - 14 = -2*t, 4*t + 8 = 2*f - 4. Put i, 1, -1, f in descending order.\nAnswer: f, 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533 > 3816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 70 (c) -2 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31330.\nAnswer: 2, 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1402 + 0?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + k**2 - 5*k**2)*(-92*k - 141*k + 26*k - 23*k - 13).\nAnswer: 1840*k**3 + 104*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 3*g - 4. Suppose -11*r + 12*r - 3 = 0. Let h(x) = -x + x - 2*x + x**3 + 6 + 5*x + r*x**2. Let o be h(-3). Give v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676321278 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 16 - 8)*(-2 + 0 - 3)*(-4 + 2*k + 4).\nAnswer: 170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 256318733\nAnswer: -256318733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from bdmbbcbmombbmcbmm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 1800.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 370822225 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2387426 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 761, 0.3 in increasing order.\nAnswer: 2\/13, 0.3, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46783 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-537 + 541 + 4*u + u)*(304 - 1 + 365 - 108) to f + y*u and give f.\nAnswer: 2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 9:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/12 + 3*d**3\/2 - 3*d**2 - d. Let j be p(6). Let g = -12 + j. Solve g*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2459 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 59*k**2 + 38*k + 2219. Give b(-59).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 2*j**2 - j - 1. Let c be (5 + -6)\/((1 - 0)\/1). Let u be t(c). Suppose -7*y + 8204 = -u*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avkkgkq. What is prob of sequence kakv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0153 - 0.0847. Which is the second smallest value? (a) m (b) 0.023 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3517.5 - 973341.7.\nAnswer: -976859.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7770012mm in micrometers?\nAnswer: 777.0012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16678 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w**5 - w**4*x**2 + w**3*x**3 - 4*w**2*x**2 + 11*x**3 - x wrt w?\nAnswer: 480*w**2 - 24*w*x**2 + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 11) in base 4?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-80)\/(-72)*12\/70. Which is the third biggest value? (a) f (b) 2\/19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*(-15)\/(45\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10925, -10926, -10927?\n\"Answer: -y - 10924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 1191*j - 3592. Give g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 4, j: 1, a: 1, d: 6}. What is prob of picking 2 g and 1 j?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = -45*d + 106*d. Put -3, -14, d, 4 in ascending order.\nAnswer: -14, -3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 13*w + 6*w + 6*w - 63 in the form h*w + t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -19\/5*f**5 + 35*f + 0*f**3 + 19 + 0*f**4 + 0*f**2. What is the derivative of v(l) wrt l?\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 0.09755035.\nAnswer: -3.3167119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 681859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.8132 kilograms in milligrams?\nAnswer: 706813200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50135254273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38888.\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 116d1 - -4?\nAnswer: 116d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3900 + -660. What is the common denominator of 3\/(-15) + (-2502)\/r and (66\/(-8))\/(10\/(-8))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)\/m)**(-3\/17)*m**3\/(m*m*m**(-5)) assuming m is positive.\nAnswer: m**(423\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 19*n = -16*n + 38, 2*i - 4*n + 6 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 6*m**2 + 5*m**3 - 8*m - 4*m**3 + 2*m**3 + 3*m**3. Differentiate n(q) wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/81)\/(31\/(186\/17)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-54)\/(-5))\/(2184\/(-3330) - (-8)\/12) is divided by 84.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0126411871 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1508522\nAnswer: 4\/754261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 882c?\nAnswer: 8839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170786002 or 170786004?\nAnswer: 170786004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -11, 0.2, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.2, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48313618801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*a + 11*a**2 - 1 - 5*a**2 + 267*a + 4*a**3 + (-1 + 1 + 2*a)*(-6*a**2 + 3*a**2 + 4*a**2).\nAnswer: 6*a**3 + 6*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 22*i**2 + 13*i**2 + 9*i - 9 + 8*i**2. Calculate d(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**2 + k**2)*(0 + 0 + 2*k**2) + 3*k**3 - 2*k**4 - 3*k**3 + (-k - 14*k - 10*k)*(2*k**3 + k - k) + (-k**3 - 3*k**3 + 2*k**3)*(0 + 0 + k).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {v: 11, b: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -58 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 78050*y**3 - 302711165*y**2 - 14665282800*y - 176524534080 = 0. What is y?\nAnswer: -24, 7829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - 3.9. Let t = 19.1 - 15. Let s = t + -4. Which is the nearest to s? (a) x (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/336 + r**7\/210 + r**6\/60 - r**5\/30 - r**4\/24 + r**3\/6 + 3*r**2. Factor u(n).\nAnswer: -(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 22, 41, 60?\n\"Answer: 19*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 20\/612451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + l)*(1 + 0 + 0) - 3*l + 0*l + 4*l + 17*l + 2*l + 17*l + (-l + 0*l + 2*l)*(1 - 1 - 5) - 2*l + 4*l - 3*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972148280.85 plus -0.0682?\nAnswer: 1972148280.7818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*sqrt(7) - (sqrt(63)\/(-3*sqrt(9)))**2.\nAnswer: -18*sqrt(7) - 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3914 and 233604.\nAnswer: 4438476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10002946 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 21 - ((0 - 0) + -60 + 66)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {n: 3, s: 1, i: 1, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -1.3. Let t = l - -3. Let b = t + -3. Sort -2\/9, b, 0.4 in descending order.\nAnswer: 0.4, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7105.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 110*u**2 + 22*u - 23. List the prime factors of f(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -173240300 and -173240301 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(7\/3)\/o*o*o*((o*o\/(o\/o**30))\/o*o)\/o assuming o is positive.\nAnswer: o**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1330 and 43\/342?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0.2, 0.182 in descending order.\nAnswer: 110, 0.2, 0.182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3300 and 338400.\nAnswer: 3722400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1.3, 2027, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14795 and 10462470?\nAnswer: 10477265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.009 and 0.197.\nAnswer: 0.001773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 913510841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72590.799976 + -72590. Let h = a + -0.8. What is h rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21330221200 (base 4) in base 12?\nAnswer: a59114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 = -6*y + 2*g, 2*y - 2*g = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 531.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 11*p - 8. Let t be m(12). Let r(g) = g**3 - 2*g**2 - 3*g - 4. Give r(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637663586 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalallallazllzlzzal. What is prob of picking 1 z and 2 l?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -28 (c) -31 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/187035 and -34\/118842039?\nAnswer: 594210195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 4, p: 2}. What is prob of picking 1 p and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c. Let b(y) = 95*y. Calculate b(n(s)).\nAnswer: -950*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 0*t + t + 1 - 14 + t. Let y(v) = -v**2 - 15*v + 4. What is the remainder when y(-14) is divided by d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6100496?\nAnswer: 2, 43, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4 = -3*o - 0*o, 0 = -d - 2*o + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o + 5. Let c be f(4). Let k be (-8 + c\/1)*-1. Suppose 0 = 3*h - k*h + 100. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -14. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**7\/30 - f**5\/20 + 6*f**2. What is the third derivative of l(n) wrt n?\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 19 - -21 - 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)*v**7)\/(v\/(v\/((v**(1\/3)*v)\/v))*v\/(v*v**(-28)*v)))**(-2) assuming v is positive.\nAnswer: v**(866\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-3 + sqrt(272) + sqrt(272) - sqrt(34)\/sqrt(18))**2 + -1*(sqrt(612) - (-2 + sqrt(612) + 2)).\nAnswer: 2873\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1086 (base 10) to base 4.\nAnswer: 100332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-5)\/v*v*v\/(v*v**5))**44\/((v**4*v)\/(v*v\/(v**4\/v))*v**4\/((v*v*v*(v*((v\/(v**(2\/11)*v)*v)\/v)\/v*v)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-4435\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4 and -23.15479.\nAnswer: -20.75479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = -3*d, q - 4*d = 4*q - 11. Let t = -5 + q. Which is the third smallest value? (a) -0.5 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(110) - 2*sqrt(110)) + sqrt(110)))\/(sqrt(10) + ((sqrt(70) - (sqrt(70) - (sqrt(70)*2 + sqrt(70) - sqrt(70)))) + sqrt(70))\/sqrt(7))*-2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 127*p**8\/2 - 241*p**4\/4 - 2099*p - 1. Find the third derivative of c(y) wrt y.\nAnswer: 426720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-14)\/60)\/(534\/2670).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 15*h**2 - 30*h. Determine x(-17).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 19*v**5\/30 + 65*v**4\/24 - 43*v**3\/6 + v**2. Let b(y) = -25*y**2 - 43*y + 29. Let l(f) = -7*b(f) - 5*s(f). Factor l(z).\nAnswer: -3*(z + 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*q + 9. Suppose -2*f - b + 184 = 0, -3*f + q*b + 332 - 74 = 0. What is the highest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404175 = -i - 4*q, -4*i + 4*q - 945027 = -2561807. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 940*q - 936*q + 7.\nAnswer: 4*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzdzhrrzhryy. What is prob of picking 1 h and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2042*c**3 - 222*c**2 wrt c?\nAnswer: -12252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 2)*(0 - 1 - 1) + 7 - 1 - 3 + 2 - 2 + 2)*(0 + 0 + i**3) as s*i**3 + y + a*i**2 + p*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11204404 (base 5) to base 11\nAnswer: -69649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmhmmmhh. Give prob of sequence hv.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((578\/(-153))\/34)\/((-1)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 658 + -220. What are the prime factors of w?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*x**4 + x**6 - 5*x**4 - 6*x**4 - 3*x**2 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1484 divide 97684312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18)*4*36\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166930, -333863, -500796, -667729?\n\"Answer: -166933*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 4*l**2 + 4*l + 8. Let n be t(-4). Let j be (-6)\/(n\/(-30) - (-18)\/(-135)). Which is greater: j or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2519099 and 217.\nAnswer: -2518882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*(2 - -6). Solve -u*i = 5*c + 11, -5*i + 2*c = -2*c + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(1*sqrt(8))*-5 - ((sqrt(208)*3*-4)**2 + sqrt(208)).\nAnswer: -29952 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6487319004?\nAnswer: 2, 3, 23, 127, 185077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109468544 divided by 1710446?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 3) + -117 + 95 + 11 - (53 + 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/(-18))\/((-6)\/(-20)). Suppose -p*l + 633 + 227 = 0. What are the prime factors of l\/(-3)*(-12)\/8?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 4*s, -3*s - 10 = -6*s - 2*f. Suppose -q + 3*q - 3*v - 10 = 0, v = -s. Solve 2*p - p = q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 3*c**2 + 3*c - 5. Let t be h(6). Let g be (-4)\/10*9749\/4. Let u = g + t. Find the common denominator of u and 59\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*h + 12, 2*o + 6 = -2*o - 2*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27012, -104464, -232358, -410694, -639472?\n\"Answer: -25221*r**2 - 1789*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 + 358 + q**2 + 277 + q**2 to y + a*q**2 + s*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823228810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, e: 2, d: 1, i: 1, s: 1}. Give prob of sequence eis.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86313296 and 32?\nAnswer: 172626592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -153. Let b = 56 - h. Solve -b*u - 15 = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*h**4 + 12781*h**3 - 4*h**2 - 496989*h.\nAnswer: 252*h**2 + 76686*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 17*u - 15. Let f be h(8). Do f and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15127 + 15129. Let d(j) be the first derivative of j**4\/4 - 2*j**2 + 3*j + 1. Let s be d(2). Solve 0 = -s*c + i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 31*n + 4. Let g(a) = -46*a - 6. Let h(j) = 71*j**2 + 429*j + 25. Let o be h(-6). Determine o*u(c) + 5*g(c).\nAnswer: -13*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 3*m + 0*m)*(-2 + 1 + 3) + (1 + 0 - 2)*(3 - 3 + 2*m) + 5*m - 66*m - 45*m + 3*m - 4*m - m to the form d*m + l and give d.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 329064607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-36)*14\/(-21)*2\/(-25).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 5*w**2 + 0*w**2)*(-3 - 2*w + 4 + 4*w) in the form v + h*w**3 + u*w**2 + l*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*y - 2*y - 4, -2*y = -f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/1 + -13 + -3)\/(575\/(-100) - -6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1414*w**3 + 500*w**2 - 2*w + 2. Let m(f) = 2828*f**3 - 1002*f**2 + 5*f - 5. Let k(u) = 2*m(u) + 5*y(u). What is the third derivative of k(n) wrt n?\nAnswer: -8484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {h: 1, d: 1, g: 9, u: 3, r: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = 124*f - 259 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122381.\nAnswer: 7, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248559\/24370 + 3\/4874. Let j(a) = a**3 - a**2 - 2*a - 1. Let b be j(3). Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(25\/10 - 2). Suppose c*g + q = -2*g + 1460, 4*g - 1468 = -3*q. Suppose 8*k - g = 4*k. What are the prime factors of k?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 5171893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-6)*-3*(-48)\/45. Suppose 0*w + 80 = t*w. Let o = 22 - -3. What is the greatest common divisor of w and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4217509 times 3?\nAnswer: -82.2652527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4485 = -3*y - 7*c + 4*c, -3*c + 5985 = 4*y. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -11*k**6\/120 + k**5\/12 + k**4\/12 - k**3 - 26*k**2. Let m be q(3). Let v = -79 - m. List the prime factors of v.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let w(n) = 2 - n**c - 2 + 0. Let v(r) = 2*r**2 - 2. Let i(m) = -m - 2. Let l be i(-3). Give l*w(q) + v(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 280.867, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35\/2056 (b) -0.68 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + l**2 + l**3 + 2 + 7*l - 2*l. Let a be d(-5). Find the third derivative of 2*z**3 - 3*z**2 - a*z**3 + 5*z**2 - 2*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -24539*r - 251. Let z be s(-9). What is z rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*i**2 + 77846025*i + 2511162 = 0. Calculate i.\nAnswer: -837054, -1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {v: 8, g: 4, t: 4, d: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/70 + 1 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1043536, 1043537, 1043538, 1043539?\n\"Answer: a + 1043535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4471?\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 3*l - 3. Suppose 2*q - 2*n - 2*n = 0, -3*q = 3*n - 9. Suppose q = 5*y - 4*d + 4, -2*d = -2*y. Is 7 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147872915 a multiple of 1946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100000010?\nAnswer: -100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:37 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**4\/4 + 6*z**3 - 18*z**2 + 24*z - 31. Determine h so that t(h) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 11. Let x be r(-6). Let i be 8*1 - (-7)\/x. Calculate the highest common factor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f\/((f*f**3)\/f)))\/f)*f*f**(-3\/2))**(2\/77) assuming f is positive.\nAnswer: f**(-1\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -549, -1183, -1825, -2475, -3133, -3799?\n\"Answer: -4*d**2 - 622*d + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 4*a**2)*(2*a**3 + a**3 + a**3) + (-a**2 - 2 + 2)*(39*a**3 - 35 + 35).\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:31 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539941490 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -67*-0.53\nAnswer: 35.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5)*1 + -4 + sqrt(5)*2*-6 + 2 + 3 + sqrt(20)\/sqrt(4)*5)**2 + -3.\nAnswer: -12*sqrt(5) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521031?\nAnswer: 3, 37, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:34 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46502842 and 2354.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 353213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(10\/9)*v)\/v*v)\/v)**7 assuming v is positive.\nAnswer: v**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 29.4, -6, 3\/2, 2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364186 (base 11) to base 2.\nAnswer: -10001100110000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1408, -2873, -6862, -14641, -27476, -46633, -73378?\n\"Answer: -211*a**3 + 4*a**2 - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*k**4 + 232.\nAnswer: 688*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -231826620 bigger than -231826620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 + -0.6. Let u = -4 - x. Let f = -20082 - -20077. What is the third smallest value in f, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 2 (c) -2\/271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 u when three letters picked without replacement from uzmrzott.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 - 55 = -3*r. Let j be (6 + r\/(-20))*0. Solve j = -4*l + 3*s + s + 12, -2*s - 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*c - 905306, -4*y - 4*c - 1810612 = -2*c. Let g = y + 6333097\/14. Let f = -563\/2 - g. Calculate the common denominator of 52\/3 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 30*y**2 + 11*y + 4. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/343)\/(-4 + (-268)\/(-28)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 142*f.\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 274*t**3 + 3632*t**2 - 448224*t - 451584.\nAnswer: 2*(t - 32)*(t + 1)*(t + 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:25 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472578867 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.802226 nanograms?\nAnswer: 0.005802226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/6*(16\/(-6) - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.28 times 1481\nAnswer: 3376.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -46*s**3 - 1973*s**2 - 11*s - 11. Let m(k) = 11*k**3 + 493*k**2 + 3*k + 3. Let t(y) = -3*g(y) - 11*m(y). What is the third derivative of t(x) wrt x?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}