diff --git "a/data/dm_maths/full_data/2675_11255.jsonl" "b/data/dm_maths/full_data/2675_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2675_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the lth term of 2471087, 4942163, 7413205, 9884195, 12355115, 14825947, 17296673?\n\"Answer: -3*l**3 + l**2 + 2471094*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49541*d**5*v + 791*d**2*v + 36*d**2 wrt d.\nAnswer: 2972460*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063311?\nAnswer: 3, 239, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2327555315 - 0?\nAnswer: -2327555315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, 94, 0, 4, -0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81262*o**6 + 3973*o**2 - 6*o - 1.\nAnswer: -9751440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = 1. Let p be 12 - (4 + 0 - v). Solve 3*u = -4*k - p, -3*k = -3*u - 5*k - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 2*p + 1. Let y(n) = -9*n**2 - 5*n - 3. Calculate -7*i(w) - 3*y(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evevvevecve. What is prob of sequence ec?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + 12. Let m = -932682 - -932607.0173. Let w = m + u. Round w to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 120389.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + g**3 + 104*g**2 + 2*g.\nAnswer: g**3 + 104*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - 3*u - 22, 2*o = 2*u + 8. Let d be (o - (3 + 1)) + (-665)\/(-7). What is the greatest common factor of d and 720?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73116776 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4bf6 (base 16) to base 13\nAnswer: -8b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 11.6. Let g = 22 - 21. Let o = 194.898 + -197.898. Which is the third biggest value? (a) g (b) 0 (c) f (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/2 + 37*r**4\/3 - 163*r**3\/3 + 84*r**2 + 2258*r. Find t such that n(t) = 0.\nAnswer: -84\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 5802?\nAnswer: -17406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29696839?\nAnswer: 359, 82721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k - 2*k)*(-k + 2 - 2) - 5575*k**2 - 346*k + 641*k - 295*k.\nAnswer: -5574*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from issvvvvivs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2\/3*q**4 + 0*q - 1\/60*q**5 + 0 - q**2 - 5\/3*q**3. Is 22 a factor of k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 47\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - -13.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1 - 1 + 2*a**2 + 5 - 1. What is j(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8800*p**2 + p - 10. Suppose 5*s - 37 + 12 = 0. Suppose s*v - 40 = v - 4*h, 40 = 4*v + 5*h. Let f be l(v). What is f rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - 2*f)*(3*f**4 + 0*f**4 - 2*f**4) + (0 + 2*f**4 + 0)*(3 + f - 3) - 92*f**2 - 17*f**5 + 92*f**2.\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 16*x**2 + 41*x - 42. Let s be q(-18). Let r = 821 + s. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 18. Solve -3*j - l = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429, 3813, 7125, 11365, 16533, 22629?\nAnswer: 29653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16*a - 608. Give r(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6107353661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5615 is divided by 890?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15140 (base 6) in base 10?\nAnswer: -2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let p(f) = -46*f - 5. Let c(q) = -p(q) - 6*z(q). Let t(b) = -154*b - 16. Let o(w) = 16*c(w) + 5*t(w). Let r(j) = 2*j**2. Calculate o(r(x)).\nAnswer: 124*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k + 700. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a = 5*f + 109*a + 24, -2*a + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1100) - sqrt(1100))*-5 + 1 + sqrt(539) + 1 + sqrt(539).\nAnswer: -36*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqrraqyqyaauyacr. What is prob of picking 1 r and 1 q?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21428, -1, 3\/5, 5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2\/3 (c) -3675 (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*20\/(-325))\/(-4*6\/180)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)\/(x**(1\/10)\/x*x*x*x))**(-10)\/(x**(1\/9)*x*x*x**(2\/11)*((x*x\/((((x**(4\/7)\/x*x)\/x)\/x)\/x))\/x)\/(x**(-1)\/x*x)) assuming x is positive.\nAnswer: x**(11281\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51686 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69124 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548856 = -90*k + 48*k. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3371837 is divided by 3016.\nAnswer: 2965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 151*q + 154*q = 4*f + 66, -3*q = -q for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18517\/11 - 1679. Let f = 325\/77 - k. Let s = 3 - 7. Which is the third biggest value? (a) f (b) s (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from iipwpwwp?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4 + -2)\/2)\/(-3). Let m = 70 + -491\/7. Suppose 0 = -5*q - 13 - 12. What is the nearest to t in 0.2, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.2, -2.7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*61776.\nAnswer: 370656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 75 = 2*o. Suppose o = 4*r - 5. Suppose r*p = 245 + 390. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*m + 67 = 0, -6*m + 123 = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 - -230. Let z(f) be the first derivative of f**3 + 5*f**2\/2 - f + 1. Let j be 15\/10*4\/2. Let d(h) = -2*h**2 - 3*h + 1. Give j*z(c) + k*d(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/(14\/(-140)). Let h = 6 + o. Let f be h\/(-9) + (-1543500014)\/63. Round f to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 45789*n - 595439. Give j(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38201 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/(-5)*390\/(-780) - -16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -p. Let t be (2\/p)\/(4\/30). Solve 2*j + 2*l + 0*l - 12 = 0, -3*j = t*l - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094649594, 1094649596, 1094649598, 1094649600, 1094649602, 1094649604?\nAnswer: 1094649606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -35. Suppose 3*w - 40 = 4*u - m*w, 2*u = 3*w - 20. Let j be (1\/39)\/(u\/12). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z**5 - 620*z**4 + 1236*z**3 - 724*z**2 + 80*z = 0.\nAnswer: 0, 1\/7, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*22 + (2 - 6). Suppose y = 2*y - 4*i - n, 3*i - 15 = -4*y. What is the highest common factor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - 2*u + 1. Let q(n) = -n + 3. Let o be q(-3). Let a(b) = b**3 - 6*b**2 - 2*b + 9. Let t be a(o). Give h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from xkcyyowk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-14) - (-24)\/(-252)*-6. Let l(p) = p - 5. Let y be l(7). Solve 2*q = -0*q - g*h - y, 0 = q - 5*h - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 - 8*g**3 + 0*g - 4*g**3 + 0*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 13}. What is prob of picking 1 d and 2 q?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 + 1\/360*k**5 - 3\/2*k**2 - 2*k - 1\/9*k**3 + 0*k**4. Let q(n) be the first derivative of c(n). Factor q(h).\nAnswer: (h - 2)*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 28*l + 24 = 0 for l.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzhh when four letters picked without replacement from {a: 1, p: 2, z: 1, h: 4, r: 2, o: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1694 in -13, -0.2, -2\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1365257281\/22 - -62039806. Let p = l - -17339. Let i = 109\/6 + -43\/3. Calculate the common denominator of p and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 425\/4, -1.1, -2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.5 - 1.5. What is the second biggest value in -1\/9, c, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6 - 19 - v - 36*v - 5*v. Let t be x(-6). Suppose -3*n = -4*l - 194, 2*n + 2*n - t = -l. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1594, 3183, 4776, 6373?\n\"Answer: 2*c**2 + 1583*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Let h(m) = m - m - 2*m + r*m. Let c(i) = 2*i. Give h(c(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 437 - 598. Let y = t - 146. Let z = y - 16. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 14) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 1976*n - 1978*n + w, 2*n = -w + 21 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*0\/(-2))\/((418\/(-22))\/(-19))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**3 + 1\/24*q**4 + 2*q**2 + 0 + 0*q. Let s be m(-7). Which is greater: s or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - (-34 + 1 + 250 + -259)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 2, 11, 24, 41?\n\"Answer: 2*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -425*i + 3397. What is p(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (1 + 0 + -13 + -644 + 667)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-3)\/1065*353. Let k = 4603\/2130 - f. Find the common denominator of k and 63\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*r - 3450, r = 3*z + 3114 + 7187. Which is smaller: z or -3437?\nAnswer: -3437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h + 23 - 9*h + 24*h wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4755198 millimeters?\nAnswer: 475519.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - s, 0 = 4*n + s - 3 - 12. Solve -35 = 5*c - w - n*w, 4*w - 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 106713841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*t**5 + 0*t**2 + 0*t + 4\/5*t**4 + 2\/5*t**3 + 0.\nAnswer: 2*t**3*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2737, 5475, 8201, 10909, 13593, 16247?\nAnswer: 18865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/259182*-77)\/((-3)\/12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 9*q**2 + 5. Let j = 151 + -160. What are the prime factors of g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42321 = -7*v + 43217. Let j(w) = -w**3 + 16*w**2 - 17*w + 6. What is the lowest common multiple of v and j(14)?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*f - 4866, -6*c + 9*c = 5*f - 6079. Let n = 1715 - f. List the prime factors of n.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -76. Let j = m - 33.127. What is j rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s. Let r be s + 1 - (7 + -6). Let v = -3 - -7. Solve r = -q + 2*k + 1, -4*q + v = -4*k + 2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/4 - q**3 - 5*q - 4. Let g(u) be the first derivative of t(u). Find the second derivative of g(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1019356, 1019354, 1019352, 1019350?\n\"Answer: -2*x + 1019358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 70*i - 51*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/4 - 3)*252. Suppose -b - f = 2*b. Let k = 35\/54 + -749\/135. What is the common denominator of b and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(16*4\/36) and -25\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1069*r**4 - 737*r**3 + 11235340*r**2?\nAnswer: 25656*r - 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - 5*s**3\/6 + 3*s**2\/2 - 14*s. Let j = 4 - -1. Let f be q(j). Sort f, -5, -3 in increasing order.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196\/9 at least as big as 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/4 - 27*g\/4 - 28829\/2 = 0.\nAnswer: -227, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 52142 (base 9) to base 5\nAnswer: 2100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12093)\/80620)\/(3\/1180)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -q + 21 + 8, -124 = -5*q - r. What is the lowest common multiple of 6\/12 - (-2 - 25\/2) and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(0 + sqrt(1900))**2.\nAnswer: -11399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 - 282*h**2 + 621*h + 9090. Determine v(-58).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6*m)**43)**(-7\/2) assuming m is positive.\nAnswer: m**(-1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 41. Calculate the greatest common factor of 80 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353319 is divided by 7964?\nAnswer: 7403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1731*g - 24 = -1735*g. What is the remainder when g is divided by ((-24)\/(-84))\/((-1)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*n**2 - 573*n**2 + 0*n**3 - 21518946 - 21518947 + 64556846 - 21518953 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*k**2 - 68*k**2 + 122*k**2.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Let d = 39.74 - 40. Let k = 0.74 - d. Which is the nearest to k? (a) 1 (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 4 - 49\/1. Let o = x - -72. What is the smallest common multiple of o and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -948 - 1bbb3?\nAnswer: -1c71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7951168 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2. Let g(r) = 562*r. Calculate g(j(p)).\nAnswer: 3934*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1283*o - 663 + 663 as r*o + f and give r.\nAnswer: 1283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 1 - 30 + 3*h - 5*h**3 + 4.\nAnswer: -5*h**3 + 3*h - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/4)\/n**(1\/11)*n\/(n**(-4\/5)*n)*n*n*n**(1\/15) assuming n is positive.\nAnswer: n**(677\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 23*g**2 + 21*g - 24. Let n be y(-24). Suppose -n = -48*m + 45*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y - 3*x - 3, -2*x + 14 = 2*y. Let s = -8 + y. Suppose -s*b + 181 = 9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107469746 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-9)\/(-24)*(-4)\/6. Let f = 10 - 15. Which is the closest to 2? (a) f (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u + 1. Let c = -12 - -12. Let r(l) be the second derivative of 1\/2*l**2 + c - 7\/6*l**3 - 2*l. Give -6*h(j) + 7*r(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.54? (a) 7\/4 (b) -8 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 286, 617, 1092, 1717, 2498, 3441?\nAnswer: 4552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1299.9 to the nearest 10.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547549 = 24*a - 548677 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 6*q**2 - 8*q**2 + q**2 + 2*q**2 + 3 - 4*q. Suppose -12 = -4*n + n. Determine i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597392.\nAnswer: 2, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-10)*10\/(-3). Let h = 8 + -6. Suppose 5*v - 6 = h*v. Solve f - b = v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(192) + 3*sqrt(192)*1)\/sqrt(4) + -1*sqrt(3072)*-3)**2.\nAnswer: 672*sqrt(3) + 37641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565.0325 litres to millilitres.\nAnswer: 565032.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562 + 2562 + 113721*g.\nAnswer: 113721*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-34)*((v*v**(1\/2))\/v*v)\/(v\/((v\/(v**(2\/5)*v))\/v)))\/((v*v*v**2)**(-18)\/(v**(-1\/2)\/v)**(-1\/36)) assuming v is positive.\nAnswer: v**(3299\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:48 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.456758 to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -47*r**4\/4 + 5*r**2 + 7*r + 513. Find the second derivative of u(q) wrt q.\nAnswer: -282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 9222993.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/20*(-12)\/(-9). Let f = 0.3 + -3.3. What is the third biggest value in -4, f, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 4. Let o(r) = -2*r + 3*r + 5 + 0*r. Let d(m) = 5*n(m) - 4*o(m). Let y(q) be the first derivative of q**3\/3 + 16. Give d(y(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2572 + -2546. Which is the biggest value? (a) f (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from bbbrrbdbdrbbdbbbbb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -744205 (base 8) to base 10.\nAnswer: -247941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -786\/7. Let o = 2 - 2.5. Let g = 0.32 + -2.32. What is the nearest to h in o, g, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/10)*w**(-5\/2))**(-18) assuming w is positive.\nAnswer: w**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/88*2*4\/12*-9?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q\/((q*q**(2\/9)\/q)\/q))\/q))\/q*q**(3\/5))**(3\/35)\/((q**(1\/3))**(-2\/113)\/(q**(2\/13)\/((q**(-3)*q)\/q))) assuming q is positive.\nAnswer: q**(2491228\/771225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, -6, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14413033 (base 5) to base 10\nAnswer: -154143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13719 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c + 20 = -75*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q - 213. Let i(z) = -4*z + 43. What is 2*h(r) + 11*i(r)?\nAnswer: -8*r + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*l**2*v**3 - 65959*d*l**2*v**2 + l**2*v + 12*l*v**3 - 25*l - 4*v wrt d.\nAnswer: -2*l**2*v**3 - 65959*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:57 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/33)\/(36\/99)*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*x**6 + 12392*x**5 + 7774399*x**2.\nAnswer: 13560*x**3 + 743520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -103875.\nAnswer: -103866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.5, 162, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 496 + -407.4. What is u rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 87 + 49)*(-2*p - p + 2*p) - 2*p + 2*p + p.\nAnswer: -124*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*j + 9 = 0, -3*a - 53 = -3*j - j. Let t be 12\/a - (-12)\/20. What is the second biggest value in t, 0, -0.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1)\/3 - 5808\/(-198)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 11*h - 1424*h**2 + 0 - 2 + 4.\nAnswer: -1424*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and -6.3.\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448124.\nAnswer: 2, 112031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {b: 2, p: 4, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*f**5\/5 - 15069*f**4 + 1763562*f**3\/5 + 5138052*f**2\/5 + 523848*f = 0. What is f?\nAnswer: -8395, -2, -2\/3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-27))\/((-12)\/108)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3168) - sqrt(3168)*1))\/(sqrt(77)\/(sqrt(7) - (-4*(sqrt(7) - sqrt(14)\/sqrt(2)) - sqrt(7))))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 407019.\nAnswer: 1628076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 23*m = 18. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -3 + -1*sqrt(847))**2 + 3)*-3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 18809157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12241115\/902 + -13571. Calculate the common denominator of j and -27\/20.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3 + 2. Let k = -6 - -11. Suppose -6 = -7*n + k*n. Let a(t) = -5*t**3 - 3*t**2 + 3. Let g(j) = 9*j**3 + 5*j**2 - 5. Calculate n*g(x) + s*a(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030.11026 rounded to 0 decimal places?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*n = -n + 2290449. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569745 + 554*g + 948*g - 569745.\nAnswer: 1502*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1128 and -1128 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8351 divided by 61.\nAnswer: 8351\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0015164 or 1\/27?\nAnswer: 0.0015164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttgg. Give prob of sequence tt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - 2*w + 3. Let l be i(-4). Let v(s) = 2*s + 1. Let f(h) = -h - 1. Calculate l*f(x) - 6*v(x).\nAnswer: -7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 + -2 + 0 - 63*37\/(-1036)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.1817 + 0.2117. Let v = b - 0.03. Let g = 22 - 21. Put g, v, 0 in descending order.\nAnswer: g, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 1.5 (b) -870 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*u + 499, -11*v - u = -15*v + 519. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011101000110 (base 2) to base 4.\nAnswer: 10131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26034959 and 342?\nAnswer: 468629262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + s**3 + s**3 + s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 28) + 9 + (-7 - -5) + (1 - -7).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23501919 divided by 635187?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -150, -250, -372, -516, -682?\n\"Answer: -11*c**2 - 45*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535559542?\nAnswer: 2, 7, 67, 570959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134568)\/(-12460))\/(6*1)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233127 is divided by 4397?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401782 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(70)*-3*-3)\/((sqrt(60) - sqrt(420)\/sqrt(28) - sqrt(60))\/(sqrt(726)*1)).\nAnswer: -1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o*v**4 + 5*o*v**3 - 3*o + 2*v**3 - 29*v**2 + 2*v wrt v.\nAnswer: -96*o*v + 30*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63167 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**24\/(v*v**(1\/4)*v*v**(-2\/7))*v**8\/((v*v**8\/v*v)\/v)*(v*v**4)\/(((v*v**(-2))\/v)\/v) assuming v is positive.\nAnswer: v**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3979 (base 16) in base 8?\nAnswer: -34571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 59*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80728*t**2 - 407*t + 19*t + 80726*t**2 - 69*t - 233*t.\nAnswer: -2*t**2 - 690*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.3, 1, -491, 2.\nAnswer: -491, -0.4, -0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 + 131. What is the tens digit of -4 + 1*(-1 - w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30610, -30607, -30602, -30595?\n\"Answer: i**2 - 30611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:03 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqyiyqyy. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11278\/27 + 2509\/6. Is 0 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*f**2*g**3 - 121637*f**2 - 35*f*g**3 - 211797555*g**3 wrt f?\nAnswer: 24*f*g**3 - 243274*f - 35*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -4*d + 30. Suppose 0 = -2*h + d + 27. Let y be (148\/6)\/(30\/h). What is y rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214 + 214.07. Which is the third biggest value? (a) l (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*t = 0, -2*b + 12 = -4*t - 16. Is (b\/3)\/((-22)\/11)*-2559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 11 = 2*f, -5*f + 11 = 2*q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 40010?\nAnswer: -40013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-264)\/(-60) - 2)\/(6\/15) - -2111 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2505 - -2515.21. Are f and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00329931 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8092.588mg to nanograms.\nAnswer: 8092588000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*v + v - 2, 2*v = -2*u + 12. Suppose -u*o = -j - 3 - 3, 0 = -5*o + j + 18. Solve -y = -o + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27079, 45277, 63475, 81673, 99871?\nAnswer: 118069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/20*(-500)\/1575)\/(12\/(-56))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*y - 5*z - 25, -2*z - 19 = -5*y. Let l(i) = 2*i**2 - 6*i + 1. Let d(a) = a**2 - 3*a + 1. Let p(f) = y*l(f) - 5*d(f). What is p(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.156 + 0.056. What is the nearest to s in 5, -9\/4, -6?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -306, 34.\nAnswer: -306, -5, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -21*w**2 - 11234. Let f(r) = -43*r. Give b(f(v)).\nAnswer: 1806*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g**2 - 8*g + 21 + 5*g**3 + 4*g**3 - 8*g**3 + 2*g**2. Let p be d(-14). Let b(n) = 7 - 139*n + p*n - 1. Let a(k) = 12*k - 11. Give 6*a(i) + 11*b(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -557.15 times -0.6\nAnswer: 334.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**2 + u. Let r be q(-1). Let p(c) = -2*c + 15. Let l be p(r). What is the tens digit of (-1275)\/(-55) + 2\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23947414 + 4371.86.\nAnswer: -23943042.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*j + 511, -271 - 418 = -4*r - 5*j. Let f = -129524 - -129585. What is the remainder when r is divided by f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*m - 3*q, -2*q + 7*q = 2*m + 32. Let w be m\/(-7) - (-10)\/(-35). Factor -1\/2*p**w - 1\/2 - p.\nAnswer: -(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*p - 4, -40 = 2*u - 3*p - 45 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c - 4. Determine m(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/3)\/(g*g\/(g*g\/(g*g*g*g*g**(-6)*g*g)*g*g*g)) assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -395\/7. Which is the closest to 4\/9? (a) m (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242870.\nAnswer: 2, 5, 149, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*v + 24 = 0, 6917*n - 3*v = 6920*n - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 276708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 1\/16*f**4 + 7\/12*f**3 + 15\/8*f**2 - 14 + 9\/4*f. Suppose o(n) = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46853, 3, 1\/8, 0.06, -4 in increasing order.\nAnswer: -4, 0.06, 1\/8, 3, 46853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzbbzbybzybb. Give prob of picking 1 b, 1 z, and 2 y.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 145, 117, 51, -65, -243?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = -35*p + 28*p. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(13))**2 + (4*sqrt(325))**2 + (sqrt(117) + 0 + 3 + -2)**2.\nAnswer: 18*sqrt(13) + 5439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39\/(1131\/(-406) - (-3)\/1) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12044215?\nAnswer: 5, 2408843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 - 8 = 0. Let j = -0.43 - -0.9. Let h = -0.53 - j. What is the smallest value in 2\/13, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 305, 394, 507, 656, 853, 1110, 1439, 1852?\n\"Answer: 2*t**3 + 75*t + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 68618*z - 137244 = 0. What is z?\nAnswer: -34311, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 59105328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 24379278?\nAnswer: 24379278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3890.\nAnswer: -1\/3890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 54*b**2 + 570*b - 101. Calculate s(63).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 9. Let d be r(2). Let z be 4\/((-1)\/(-9)*d*2). Solve t - 6*t = 2*f + 5, -t + z = -f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1724787 and 42252?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 264, 362, 518, 726, 980, 1274?\n\"Answer: -t**3 + 35*t**2 + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18*f - 52 = 0. Let a be ((-12)\/10)\/(f\/12). Which is smaller: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -31. Let l be r + (2 + 6\/(-3))\/(-2). Solve -u - 2*u = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2412 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32137525 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:14 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 15308713 and 31.\nAnswer: 15308744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 2*b. List the prime factors of (((-15)\/b)\/(-1))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/108)\/((-23)\/1863).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5136 divided by -13.\nAnswer: 5136\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49035 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:56 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -73, -53, -33?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*14\/(84\/(-45)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1990 - 919. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 21*k**2 - 20*k - 55. Determine b(-10).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 14) to base 5\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 - 4) - (-6 + -6 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6\/11))\/g**12)**5 assuming g is positive.\nAnswer: g**(-635\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + a + 2*a)*(9*a + 101*a + 88*a + 57*a) to the form w + n*a + s*a**2 and give s.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 395*n - 85709. Determine y(217).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 63*s - 205. Let x(t) = 89*t - 308. Let j(n) = 7*k(n) - 5*x(n). Determine j(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 132069398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:07 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 562493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 153*r**3 + 156*r**3 + 4.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 47*n**2 - 27*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.05*-0.3.\nAnswer: 1.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2163.\nAnswer: -5\/2163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/4 - (-1 + 1\/(-2)). Let q be (w\/4)\/((-1)\/6). Let v = 8 - 10. Sort q, -4, v in decreasing order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(5\/4)*q))\/((q\/(q\/((q\/q**(-5\/3))\/q))*q)\/q)*((q\/q**(-1)*q*q)\/q*q)**(10\/11) assuming q is positive.\nAnswer: q**(293\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6*(s*s**(-2\/11)*s)\/s*s)\/(((s*s**(-5))\/s)\/s*s\/(s\/(s*(s**3\/s)\/s))) assuming s is positive.\nAnswer: s**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j**3 + 144*j**2 + 18*j + 132. What is x(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 + c. Let r be u(1). Suppose r = -5*a + 13 + 7. Suppose -3*m = -a*i - 2*m + 33, 3*m + 8 = -i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*((-20)\/(-12))\/(-1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -529*s**4 + 760*s**2 wrt s.\nAnswer: -12696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-140)\/(-15))*1.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 10:16 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -517*r**7\/70 - 2917*r**5\/60 - 2*r**2 + 75*r. What is the third derivative of d(k) wrt k?\nAnswer: -37224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48709701 - -0.5?\nAnswer: 48709701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h**2 + 29. Let k(g) = -121*g**2 + 231. Let r(p) = 33*f(p) - 4*k(p). Find the first derivative of r(i) wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f**3*z + 2*f**2*z**2 + 40*f**2*z - 2086*z**2 wrt f.\nAnswer: -9*f**2*z + 4*f*z**2 + 80*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*6508\/8 - (-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(98) + 4 + sqrt(96)\/sqrt(12) + sqrt(2))*3*3 + -1)**2.\nAnswer: 7020*sqrt(2) + 17721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4cbe + -73?\nAnswer: -4d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:35 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/((-165)\/120) - -4. Solve -20 = 4*z + 4*f, 21*f - w = 2*z + 24*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1930575899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 7*y**2 - 7*y + 10. Let o be j(6). Suppose 0 = 4*w - 2*f - 28, 3*w - o*f + 4 - 15 = 0. What is the remainder when 53 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h. Determine q(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 - 8*d + 5. Let y be c(7). Is 2 a factor of y + 1 + 2 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**2 + 9*j + 2. Let z(d) = -8*d**2 + 10*d + 1. Let b(a) = -7*s(a) + 6*z(a). Let w be b(4). What is the units digit of ((-7)\/(-2))\/(w\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**40*(a**(2\/7))**13*(a*a**(-3)*((a*a*a**(7\/2))\/a)\/a)**(-47) assuming a is positive.\nAnswer: a**(-775\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 122, 198, 256, 296, 318, 322?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022211201101 + 0?\nAnswer: -1022211201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**6\/360 + b**5\/8 - b**4\/2 - 7*b**3\/3 + 8*b. Let t(h) be the second derivative of q(h). What is the tens digit of t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*v**2 - 86240*p*v + 7197009*p + v**2 - 13*v wrt v.\nAnswer: 4*p*v - 86240*p + 2*v - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 9. Solve -3*s = -s + 3*l + v, 4*s = 5*l + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2.78\nAnswer: 11.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108108, 432416, 972936, 1729674, 2702636?\nAnswer: 3891828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(416) - sqrt(416)*1 - sqrt(416)))\/sqrt(8))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 157, 196, 255, 340, 457, 612?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3023\/58 - 76\/29. Suppose -4*y + 855 + 497 = 0. Let j = 649\/2 - y. Calculate the common denominator of d and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11033197 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 53. Suppose -c = 3*c + 5*h - 21, a*c = -4*h + 16. Suppose -c = 2*m - 4*m. Solve 3*r + 5*q + 20 = 0, 3*r - 3*q - m*q = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/15)\/m**(1\/14)*(m**(-3\/7))**49 assuming m is positive.\nAnswer: m**(-4397\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1009918*q. Let l(j) = 8*j - 11. What is l(g(o))?\nAnswer: 8079344*o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*b - 140 - 40 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x**3 + 5*x**3 + (-13*x**2 - 52*x**2 + 2*x**2)*(-3*x + 0*x + x).\nAnswer: 128*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 = 12*a. Determine m, given that 1\/5*m**a + 1\/5*m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.99 - 0.57. Let d = 1 + u. Let s = d + 0.06. Put 4, 2\/13, s in increasing order.\nAnswer: s, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6892 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 12. Suppose 2*k + 3*d = 7*k - 33, -2*d + s = 3*k. Calculate the highest common divisor of k and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from wivwwej?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877013 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*-1 - 1. Let o = 4 + k. Let q(h) = 3*h**2 - 4*h + 4. Let t be q(o). Calculate the greatest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/1176 - c**7\/35 + 97*c**6\/420 + 11*c**5\/14 - 121*c**4\/42 + 3*c**2 + 6*c. Suppose t(l) = 0. What is l?\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.59? (a) -1\/16 (b) 0.4 (c) 1 (d) 18 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39166133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**17\/n**(-1\/30) assuming n is positive.\nAnswer: n**(511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11587?\nAnswer: 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 20. Let n be l(7). Let m = -93 - n. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/(-21624))\/((-15)\/(-34185))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*k**3*y + 3*k**3 + 1139*k**2*y**4 + 2*k**2 - 105*k wrt y?\nAnswer: 7*k**3 + 4556*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v*v)**(-22\/9)*v**(-2\/11)*v**(-1\/14))**(3\/34))**7 assuming v is positive.\nAnswer: v**(-117\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 206293 and -0.109.\nAnswer: 206292.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**2 + 12057*x - 12057*x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - 1 + 1)*(-2*z - z - z)*(-z - z + 0*z) - 2*z + 2*z + 8*z**4.\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -11912610 and -11912610 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 34 = -2*p, 0 = 1127179*p - 1127181*p + o - 34 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -682.\nAnswer: -3\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from ggqqqeegegq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*i - 23 = 8, -i + 91 = 4*x + 75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 50. Let s = -86 - q. Let y = -49 - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (524\/655)\/(-1 - (-6)\/5). Solve -25*q + r = -146 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -747344*x**2 - 198641*x wrt x?\nAnswer: -1494688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8200*a**2 + 152284*a**2 - 2 + 2.\nAnswer: 144084*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n*w**2 + 277*n*w + 13*n - 1011547*w**2 wrt n.\nAnswer: 5*w**2 + 277*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2571 + 2764. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-7 - ((-1638)\/(-21))\/(-13)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/12 + 31*r**3\/6 - 13*r**2 + 9*r - 3. Let q be v(30). Suppose -2 = 4*x + 50. Put -3, -5, x, q in descending order.\nAnswer: q, -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2\/19 (c) -2\/5 (d) 36 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j - 17. Let u(d) = 4*d + 9. Let q(l) = 4*h(l) + 7*u(l). Let w(b) = 3*b + 7. Let c be w(-3). What is the tens digit of q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 + -2 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/4 (b) 1 (c) -55 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.80755um to kilometers.\nAnswer: 0.00000007980755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2)*(-2 + 30\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -153592 divided by -73\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 15*u**2 + 16*u + 56. What are the prime factors of a(-11)?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 5384, 0.2, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2662*b - 32. Let v(o) = 7*o + 2. What is 3*l(c) + 48*v(c)?\nAnswer: 8322*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n + 66 - 40 + 37 = 0. Let r = 15 - 106\/7. What is the nearest to r in 0.4, n, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -19.2. Let d = l - 2.2. Which is the closest to -2? (a) d (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 15*k = -280. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h. Suppose -5*a + 0*a - 4*b + 102 = 0, 68 = 3*a - b. Suppose l + a = -l. List the prime factors of x(l).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 35 = -3*w. Let s = 80 + w. Let o = 328 + s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221*60809.8\nAnswer: -13438965.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -230388 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1152414 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q. Let l(g) = 10*g + 1. Let a = 4031 + -4026. Calculate a*s(u) - 2*l(u).\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 65. Let q be (1\/(-5)*-4)\/(l\/95). Solve -q*v - 3*v + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*z - 207*z = 231*z - 622*z - 1470 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 25) + 6 - (-33 + 0 + 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + 2 + -1) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**4\/2 + 17268*h**3 + 183901*h**2\/2 - 67057*h + 11496 = 0 for h.\nAnswer: -3832, -6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620766 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 48*c - 31 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*g + 106 - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f + 10. Let v be (-114)\/4*20\/(-6). Suppose 3*y - 213 = -3*c, y + c = 6*c + v. Calculate the remainder when y is divided by m(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 388 + -208. Let v = -73 + o. Let d = v + -66. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(448)*-1 + sqrt(448) + 4 + -3*sqrt(448)*-6)*1 + -1)*-2)**2.\nAnswer: 3456*sqrt(7) + 580644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1101001 (base 2) to base 7\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r = -8*r - 501 - 275 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -200?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -25. Suppose -v*r = -r. Let c = 5 - 1. Solve r = -c*o + o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 4 (b) -2 (c) -1451 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 89*i**2 - 1\/2*i**5 - 8*i**4 + 0 + 68*i + 27\/2*i**3 = 0. What is i?\nAnswer: -17, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w + 3. Let r be m(6). Let l(h) = h**2 + 4. Give l(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -60. Let m = z + -70.0000176. What is m rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 281950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -18, -26, -32, -36, -38?\n\"Answer: h**2 - 13*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m + 39. Determine c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + 6. Let q be -2*(-1)\/(1 + (-6)\/9). Give u(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:54 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1414590 + 4001190. What is u rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*s - 31 = 0, -s - 4*s = -5*u + 5. Let w(d) be the second derivative of -1\/12*d**u + 0 - 1\/2*d**2 + 1\/3*d**3 + d. Factor w(h).\nAnswer: -(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550652 a multiple of 1084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 + 32 = 0. Suppose -5*n + a = 3. Suppose -3*m = -n*m + 270. What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 468*c - 43. Let l be t(15). Let n = l + -4363. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -618463, -618474, -618485?\n\"Answer: -11*v - 618452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**3 - 14 + 5*b + 1\/6*b**4 - 7*b**2. Let o(f) be the first derivative of a(f). Find the first derivative of o(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 56 = 5*s - v, -v - 1895 = -945 - 947 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(10392 + 925*s - 10392 + 2*s + s - 4*s + (2*s - 2*s + 2*s)*(1 + 4 - 4)) to l*s + f and give l.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/7 in -2, -4\/7, 1\/7, -89?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19484 is divided by 6487?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let i = -9 + 5. Let x be (4\/(-66))\/((-22)\/33). Which is the smallest value? (a) i (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 4*(sqrt(288) + -2) - (4 + (sqrt(288) - (sqrt(288) - (sqrt(288) + sqrt(288)*2))) + sqrt(288)))**2.\nAnswer: -288*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 493935.\nAnswer: 493935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1275419742 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*q + 92*q = 208*q - 299 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597707526?\nAnswer: 2, 798853763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26283 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 274, 358, 494, 682, 922, 1214, 1558?\n\"Answer: 26*i**2 + 6*i + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 7*q. Suppose 5*p - 12 - 3 = 0. Factor x**5 + 5\/4*x**4 + 1\/4*x**p + 0*x**2 + 0 + q*x.\nAnswer: x**3*(x + 1)*(4*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-106)\/477*(60\/(-8) - 0). Determine h, given that 0*h**2 - i*h**3 + 5*h - 10\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/((-6)\/(-36)). Suppose -t = -4*w + 17, -3*w + t + 6 = -7. Suppose -w = -i*a - 0. What is the closest to -1 in a, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + -3 - 5 - 4 - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211560 divided by -410.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and 0.7?\nAnswer: 0.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.91373\nAnswer: -1.11373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*o = -4*o + 6, 3*o = k + 14. Let h = 5 + -6.2. Let y = 0.2 + h. Do k and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.52359 hours in seconds?\nAnswer: 293484.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 933923057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 1. Let f(z) = 36*z**2 - 90*z + 45. Let c(k) = -f(k) - 45*n(k). Let v(t) = 0 + 0 + t + 0. What is c(v(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose 0 = -o*p + m + 85, -m + 24 = 2*p - 31. Calculate the highest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-119) + 130\/70. Solve 3*b - 5*o + q = 0, -7*o = 4*b - 2*o + 26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6))\/(25\/90). What is the second derivative of 3*u**5 + 4*u**5 - p*u**5 - 7*u wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2904 and 9\/20?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 79\/15021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 15) to base 10.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (3 - 4\/(-32)). Let h be (-3)\/9*(-3 - -1). Let g = -1\/21 + -13\/21. Which is the nearest to g? (a) h (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*v**4 + 113*v**3 - 8*v**2 - v + 93419?\nAnswer: 228*v**2 + 678*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26886765 divided by -867315.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67840960 by -44.\nAnswer: 1541840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcmcrrmgcrmmr. What is prob of picking 2 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39504376 to five decimal places.\nAnswer: -0.39504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.75 to 0 dps.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5995 - 5998. Suppose -5 = -32*m + 31*m. Put s, -0.4, m, 0.109 in decreasing order.\nAnswer: m, 0.109, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2167383740 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3549.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25046 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 192\/33289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*n - 17, -4*i + 20 = -4*n - 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1921 < -1924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 - n**3 + n**3)*((-3 + 5 - 1)*(-5 - 1 - 4)*(1 + 1 - 3) - 2 + 2 + 2).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*i + 10, -4*h = i - 12. Differentiate -25 - 9*n**2 + 23 + 0*n**h with respect to n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -687 - -1204. What are the prime factors of u?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -375*v**4\/4 - 300*v**3 - 360*v**2 - 192*v - 1. Suppose l(i) = 0. Calculate i.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 - 2487444?\nAnswer: -2487494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q - q**2 - 1\/120*q**6 + 0 + 1\/10*q**5 - 5\/6*q**3 - 5\/24*q**4. Suppose 0 = -3*m + 25 - 10. Calculate f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422495 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: What is 100406 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -18*y - 2. Does 17 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 141*z + 427. Let i(d) = d**2 + 4*d - 4. What is the smallest common multiple of i(-6) and m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4188, 4194, 4204, 4218, 4236?\nAnswer: 4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -777 + 1371. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 494*q**2 + 6*q + 7. List the prime factors of c(-1).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejvejjmeerelemelme. What is prob of sequence ver?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/(-6))\/(7\/21). Let x = a - -32. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/42983325 and 145\/327492?\nAnswer: 171933300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 2) + -1 - 7076\/(-61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/((21\/(-4))\/7). Let p be (-2)\/(-7) - x\/(-7). Which is the nearest to 2? (a) -1\/3 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let m(q) be the first derivative of q - 22. Let f(d) = 5*m(d) + 3*y(d). Let v = 2 + 5. Calculate f(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1774*y = -3*m - 1770*y - 58, 0 = -m + 16*y - 78 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1412*d**3 - 5*d**2 - 11*d + 9. Let l be r(7). Suppose h - 5*m - 604985 = 6*h, 4*h - m + l = 0. What is h rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(16\/(-6))\/1. Let n = -5 - v. Let t be (2\/21)\/1 - (-4514)\/1554. Calculate the highest common divisor of n and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 71 = 4*l + p, 5*l = -2*p + 106. Let q(g) = 2*g**3 - 4*g**2 + 3*g - 1. Let r be q(2). Solve 5 + l = r*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -27. Let j = i - 6.7. Which is the second smallest value? (a) j (b) 2\/9 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7942.875 centuries?\nAnswer: 9531450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.3 (c) -6 (d) -140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -7.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3322 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 132.2. Let x = c - -3.8. Let y = x - 13.88. What is y rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*m**2 + 7 + m + 2*m**3 - 4*m**2 to x*m**2 + g + b*m + j*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 99281425 to the nearest 1000000.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3)*-2 - sqrt(3)) + -5 + ((sqrt(231) + (sqrt(231) + (sqrt(231) - -2*sqrt(231)) - sqrt(231)) + sqrt(231))\/sqrt(7))\/sqrt(11).\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -95*((-3162)\/24 + (-5)\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 6*x**2 - 2. Let c(w) be the first derivative of 1\/4*w**4 + 1\/3*w**3 + 0*w**2 + 2 + 0*w. Let j = 302 + -308. Calculate j*c(n) - k(n).\nAnswer: -3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)\/((-7)\/2 + 4). Let y(z) = 195*z + 59. What is the tens digit of y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -505107 - -1?\nAnswer: -505106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74245*c**3 + 641*c**2 + 87 wrt c?\nAnswer: 445470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1656052018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:35 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g + 2. Let k be r(-8). Let n = 3340 - 40129\/12. What is the common denominator of n and (-311)\/k + (-9)\/((-27)\/(-12))?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 389, 1129, 2363, 4091, 6313, 9029, 12239?\n\"Answer: 247*x**2 - x + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 303*j**2 - 266*j + 796. Let s be l(3). Calculate the highest common divisor of 109 and s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11959 = g + p, 12*g + 2*p + 23918 = 14*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 u when three letters picked without replacement from {t: 7, u: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + (-4 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (4*(sqrt(204)*2 - sqrt(204)) - sqrt(204)))\/(-3*sqrt(108)) - (2 + sqrt(17)*1 + (sqrt(425)*4)**2).\nAnswer: -6802 - 7*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**32)**(-43)*i*i*i*i\/(((i**(3\/19)*i)\/i)\/i)*i*i*i*i**11*i assuming i is positive.\nAnswer: i**(25704\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7698?\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 44280?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*u**2 + 2*u**2 - 548*u**3 + 549*u**3 as x*u + i*u**2 + q + n*u**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from mmmyqhhhhamhmmh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*v + 28 = -215*v + 4*q, 2*v + 3*q = 28. Solve -8*p = 13*p - v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (240 - 6424*h**2 + 6423*h**2 - 7)*(-1 - 4 + 3) to the form n + m*h**2 + t*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 8*f - 1. Is 11 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 6:29 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 + 128*r - 22528.\nAnswer: -2*(r - 352)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 17064*u + 1628933. Determine p(-96).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 132288*p**3 - 1458871968*p**2 - 11664626688*p - 23325020928.\nAnswer: -3*(p + 4)**2*(p + 22044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 17658993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 31*i**8\/56 + 4*i**6\/15 - 129*i**4\/4 + 23*i - 5. Find the third derivative of o(t) wrt t.\nAnswer: 3720*t**3 + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -38*q - 188. Let u be w(-5). Solve -3*g + 19 = -7*g - 3*z, 2*z + u = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.1 + -44. Let d = -3 + c. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2 - 4. Let u = 26 - 24. Let a(n) = 2*n - 7*n**2 + 8*n**2 + 3 - 2*n**u. Determine a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 4*z**3 - z**4 + (381*z**2 - 6*z - 4*z + 12*z)*(2*z**2 - 7*z**2 + 2*z**2).\nAnswer: -1144*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-1))\/(4*(-6)\/72). Let c(f) = -2*f**3 + 3*f**2 + 7*f - 2. Let h(j) = 5*j**3 - 8*j**2 - 20*j + 6. Determine t*h(m) + 8*c(m).\nAnswer: -m**3 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 + h + 33. Determine x(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 + -2.19. Let j = d - -2. Sort j, 0, -4\/9.\nAnswer: -4\/9, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191913.\nAnswer: 3, 17, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 275*p**2. Let u(d) = -13*d + 50*d - 33*d - 10*d. Give u(r(j)).\nAnswer: -1650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010001100100010 (base 2) to base 7.\nAnswer: 1514265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l - 2. Let d be q(-5). Suppose -p + 5 = d. What is the tens digit of -1*1 - (p - 28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:54 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2. Let g(x) = -28*x**2 - 12*x - 16. Let d(p) = 6*p**2 + 2*p + 3. Let f(w) = 16*d(w) + 3*g(w). Calculate o(f(t)).\nAnswer: -432*t**4 + 288*t**3 - 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 56 - 9*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 7529580*u + 2834728748820.\nAnswer: 5*(u + 752958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*x - 6*x = 21, 4*w = -2*x + 12. Let b(q) = 3*q**3 - 5*q**2 - 7*q + 36. List the prime factors of b(w).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3832*c**2*z**3 + 5*c**2*z + 17*c**2 + 4*c*z**2 - 184882*z**3 wrt c.\nAnswer: -7664*z**3 + 10*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1363 (b) -245 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -25. Let q be (163\/3 - y)*(-6)\/(-5). Let o = q - 64. Solve x - 20 = 4*t - o*x, 2*t + 10 = -4*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -733*p**2 + 6*p - 5. Let i(w) = 1466*w**2 - 14*w + 12. Calculate -7*h(k) - 3*i(k).\nAnswer: 733*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.67, 2\/29, 5, -21 in ascending order.\nAnswer: -21, -6.67, 2\/29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -120, -111, -100, -87?\n\"Answer: i**2 + 4*i - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(1*sqrt(324)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*n - 25, -3 = 3*l + 12*n - 9*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -7877.\nAnswer: -157.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 8. Let i(l) = -5*l + 23. Let q(z) = 3*z - 12. Let j(h) = -4*i(h) - 7*q(h). What is j(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2675, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 13*c**3 + 7*c**3 - 2 - 10*c**3 to the form u*c**3 + i*c + g + x*c**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) -0.3 (c) -181 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 + -93. Suppose 3*v + q - 30 = 0. Let m = -15 - v. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/96*20*(-9)\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -706, -1422, -2138?\n\"Answer: -716*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-2\/5)\/a)\/a)*a)\/(a\/a**(9\/2))*(a*a**(4\/7))**(-2\/11) assuming a is positive.\nAnswer: a**(463\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 82. Give g(15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*v + 69, 3*g - 49 = 3*v + 2. Calculate the lowest common multiple of g and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 645424811 and -0.012.\nAnswer: 645424810.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2854, 2766, 2678?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 3:09 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 71529, 2, -0.2, 0.5 in increasing order.\nAnswer: -0.2, 0, 0.5, 2, 71529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 63, 1, 1\/5 in ascending order.\nAnswer: -4, 1\/5, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*m**3*w + 10*m**2*w + 25*m**2 + m*w - 3*m - 31*w + 105 wrt m?\nAnswer: 108*m*w + 20*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*u**5 + 45545*m**3*u**2 - 5*m**3*u - 108*m**2*u + 6*m*u + 2*m wrt u?\nAnswer: 60*m**3*u**3 + 91090*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -256, -295, -380, -529, -760, -1091?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6697.\nAnswer: -1\/6697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 43. Solve 0*n = 3*n - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*p**3 + 1280*p**3 - 625*p**3.\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13196991 or -2\/5?\nAnswer: -13196991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4104418655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 130 - 18. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/184, -8, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:59 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 0*i**2 + 0*i**2)*(-186 + 82 + 154)*(-3 + 2*i + 3)*(44*i - 86 + 86).\nAnswer: -8800*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 20*x - 54. Suppose -4*c + 5*j = -5*c - 8, 2*j = 2*c - 44. Let p be r(c). Sort 21, -2, p, -5 in decreasing order.\nAnswer: 21, -2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.1 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/32*(-64)\/4032*1736?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 34721531.\nAnswer: 104164593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -409099785.\nAnswer: -409099777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 + -273. Suppose -2\/3*f**2 + 2\/3*f**3 + 0*f + d = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -36. Let b = 17 - p. Sort b, 5, -3 in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 4*i + 4, 3*i = 4*r - 29. Solve 0 = -4*x + 2*x - 4*v + r, 0 = 5*x - 2*v + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02425 rounded to 4 decimal places?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*d**2 - 1 + d**4 + 2*d + 2 + 197*d**2 in the form l + r*d**2 + n*d**4 + x*d + i*d**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-3)\/2*-2. Let a = l - 3. Is -4 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 58*t**2 - 61*t - 120. Calculate p(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:49 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/48*1*1\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - d**2 - 4. What is u(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -960 + 963 - (21 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797023602.\nAnswer: 2, 11, 179, 456329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 720.999999679 - 721. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n + 5. Calculate p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 6 = 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -1. Let a = 807 - 4033\/5. Let l = -53\/3 - -383\/21. Sort l, c, a.\nAnswer: c, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2736) + -3 - sqrt(2736)) + -2)*5 + -3)**2*6.\nAnswer: 4704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76) + 2*sqrt(76)*-3)\/(sqrt(48)\/sqrt(192) + sqrt(4)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l + 169. Let s be k(-24). Let w = 293 + s. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -8*i + 3*i + 65 = r. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h + 80*h + 20*h to a*h + i and give a.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40946*a**4 - 33*a**3 - 4197637*a wrt a?\nAnswer: -491352*a**2 - 198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1435946, 2871895, 4307834, 5743757, 7179658, 8615531, 10051370?\nAnswer: 11487169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619311 = -84*h - 157311. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 2398?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4187722, 4187575, 4187428?\n\"Answer: -147*m + 4187869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u + 2*u - 6*u)*(2 + 2*u + 0*u - u).\nAnswer: -13*u**2 - 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1\/(-6)) + 2. Let p = -102 + 97. What is the closest to -0.5 in p, 4\/7, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -131. Let a be ((-12)\/(-3))\/(h\/54). What is the highest common divisor of a and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**2\/13 - 610*b\/13 - 404\/13 = 0. Calculate b.\nAnswer: -101, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 513 - 8387c?\nAnswer: -83369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535584817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - 3240\/(-990).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3)*p*p)**(-27\/4))**34 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -704 + 702 - 1929*z**3 - 1992*z**3 + 1392*z**3 + z in the form c*z**2 + g*z**3 + w*z + k and give g.\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/7, -1183, -1, -2\/3, 16?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/(-21) + (-2)\/(-6). Let h be (4\/5)\/(t\/10). Sort 4, h, -3.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 116. Let w = 223 + l. Suppose -w = -4*m + 195. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 25 + -11 - 9 - (16 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 25735 = 25055 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 1. Let x be c(1). Let g(n) be the second derivative of 7*n**5\/20 - n**4\/6 + n**3\/6 + n. Let j be g(1). Solve 0 = -j*w + x*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7487669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136198 is divided by 530.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s*x**4 + s*x**2 - s - 2*t*x**3 - 9*t*x**2 + 11*x**4 + 2*x**2 wrt x?\nAnswer: -24*s*x - 12*t + 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from folliss. What is prob of sequence lfsl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/448489104 and -67\/3570.\nAnswer: 2242445520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + ((sqrt(153) + 1)*5 + -1 + 2*sqrt(153)*-4 + 5)**2).\nAnswer: -4377 + 486*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8032*h**2 - 15234 wrt h?\nAnswer: 16064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, z: 1, r: 1, p: 1, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 y when four letters picked without replacement from lyyyylyyyyyy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 3, i: 1, e: 1, q: 2, v: 1, m: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4194 + 414. What is the remainder when p is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1831 (c) -14 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 21532\nAnswer: 215320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1462\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-154)*14\/12?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(v + 4*v + 1008*v**2 - 989*v**2).\nAnswer: -19*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -33. Let o = 14 - b. Let k(p) = p**3 + 4*p**2 + 4. What is k(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19803 - 18623. Calculate the greatest common factor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f*p**4 - 5127*f*p**3 + 17276*f*p**2 + 283*f + 6*p**4 + p**3 wrt p?\nAnswer: 240*f*p - 30762*f + 144*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (144*h + 115*h + 16*h)*(h**3 + 4*h**3 - 4*h**3) in the form k*h**4 + d*h**2 + n + t*h + x*h**3 and give k.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*w + 6 + 17 = 0, -3*w = -3*f + 3. Suppose -5*n + f*n = -4666. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008735 times -13304?\nAnswer: 116.21044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g + 1. Suppose -4*b - 5 = b. What is c(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/4 + 1\/2. Let q(p) = p**3 + 5*p**2 + 4*p - 2. Let r be q(k). Let f = 2239 + -2231. Which is the closest to 0? (a) f (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -18. Suppose 27 = 2*w - m. Suppose -5*z + w + 11 = 0. Solve -4*b = z - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 193 in descending order.\nAnswer: 193, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/31 or -7\/4?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1\/3 (b) -186 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:38 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/(2\/(-4)). Let b(d) = -3*d + 4. Let r(i) = 2*i - 4. Let l(c) = -3*b(c) - 4*r(c). Let x be l(0). Solve -x*g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {w: 2, r: 6, q: 4, z: 6}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20061 divided by -6\nAnswer: 6687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**2*y**(-12)\/y*y*(y\/(y**7*y)*y)**(-14\/5))**(-2\/69) assuming y is positive.\nAnswer: y**(-88\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 i, and 1 f when four letters picked without replacement from yflyifymmiee?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69485 and 189371.\nAnswer: 1012187995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -17*n - 6. What is the tens digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(-2 + 2 + 2) - 1 + 0 + 2 + 1 - 3 + 3)*(-19*i - 9*i - 8*i).\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18382 - 18382.2. What is the third biggest value in z, -276\/11, -5?\nAnswer: -276\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88) + sqrt(88) + -3*sqrt(88)*6))\/(sqrt(968)*-4*3).\nAnswer: -16*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-120) + 8\/60*6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8801, 35215, 79239, 140873?\n\"Answer: 8805*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11000\/770 - (-1 + 15). Factor t + 0*o - 2\/7*o**2.\nAnswer: -2*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273707 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 - 6*a - 6. What is s(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/6)\/y)**(-3)\/(y**0\/y**12))**40 assuming y is positive.\nAnswer: y**740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/110 and (-399)\/342*((-37)\/(-105) + 0)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -903 - -55198832.\nAnswer: 55197929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Let z = 3.71 - 1.4. Let a = z + 5.69. What is the third smallest value in a, n, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 17*z - 1. Let l be r(-4). Let m(w) be the third derivative of 0*w - w**2 + 0 + 1\/60*w**5 + 1\/3*w**l - 1\/24*w**4. Calculate m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - 2*u**2 + 2*u. Let o be l(2). Suppose -39 = 2*q - 105. Let j = q - o. Solve -f = j*w + 20, 2*f + f = -3*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:41 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, -0.2, -0.1539, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5848535 is divided by 87?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 13703046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*i = 250, 2*d + 30 - 44 = -i + 61 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251 + -16?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183241?\nAnswer: 23, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 55. Let a = h - 41. Solve 2*p - 4*p - a = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/66 + 2*i**3\/11 + 45*i - 22. Let r(a) be the first derivative of n(a). Factor r(f).\nAnswer: 2*f*(f + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2519745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14690.16 + 1.\nAnswer: 14691.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10111111?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*v + 269*v + 231*v + 427*v**2.\nAnswer: 427*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -401*y + 407*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210\/14 + 48\/(-168) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 + (-42)\/(-30)). Put -5, i, -0.5 in increasing order.\nAnswer: -5, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34266?\nAnswer: 2, 3, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjj when three letters picked without replacement from {f: 1, j: 8, k: 1, g: 6}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75.4241 + -0.0759. Let c = 75.4 + u. Are c and -66\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(22))\/((sqrt(2) - -3*sqrt(2))*3)*-6.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/7? (a) 5 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 9*r**2 + 3. Let g be m(-9). Let z be (-1 + -3)*g\/(-4). Differentiate 0*u + 8 + 4*u + z - 1 with respect to u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 119 = -23. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*o + 1)*(1 - 1 + 2*o) + 0*o**2 - o**2 + 2*o**2 - 195*o**2 - 10768 + 10768 to the form m + l*o + x*o**2 and give x.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2169499*d*i**3 - 28*d*i**2 + 54*d*i - 21*i wrt i?\nAnswer: -13016994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111320 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6 + 5 - l**2 - 2*l + 4*l. Let y be s(1). Let q be -2 - (-2)\/((-24)\/(-15)). Put y, 1\/7, q in increasing order.\nAnswer: q, y, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-54)*(16\/4 + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*r - 69 = 0, -r - 4*r - 25 = 0. Let o = s + -7. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1679*z. Let x(o) = 91384*o. Calculate q(x(i)).\nAnswer: -153433736*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -19\/9 (b) 31 (c) 3 (d) -0.92 (e) 0.6 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*r + 6*i**2 + 2*i*r**2 - 376*i + 949*r**2 + 2*r + 37 with respect to r.\nAnswer: i**2 + 4*i*r + 1898*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 6, j: 7}. What is prob of picking 3 j?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose -h*w + 6 = -26. Calculate the lowest common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d + 5*d + (4*d - 4*d - 2*d)*(-1 + 4 - 1) + 4*d - 3*d - 3*d)*(4 - 2 + 8) + (-d - 4*d + 3*d)*(2 - 1 + 0) + 1 - 2*d - 1 - 1 + 1 - d.\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 2*z**2 - 5*z - 2.\nAnswer: (z - 1)*(z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-seven halves of a litre?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(4*(-10)\/(-8)))\/(423\/(-15))\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/11)*x*x*(x**(2\/7)*x)\/x*x**(1\/10)\/(x**(1\/6)*x*x*x*x))**(-2\/33) assuming x is positive.\nAnswer: x**(2224\/38115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.00939.\nAnswer: -0.00939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*k - 2*j + 22, 2*k = 5*j - 40. Let s = 12 + k. Sort -5, -3, s in decreasing order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 5, -2, -13, -28, -47, -70?\n\"Answer: -2*y**2 + 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/20*(6 - -4). Suppose 0 = -5*c - l*j + 37, c - 7 = -2*j + 4. Suppose 8 - 28 = c*h. Sort h, 3, 1.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1103a - 3?\nAnswer: -11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 - 5. Suppose 0 = d*m - 20 - 24. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54471930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beev when four letters picked without replacement from eveebevbbe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + m + 14 + 126 = 0, q - 54 = -5*m. Let w = 14 - 6. Calculate the remainder when q is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 5*p - 7. Let a be -1*(-2 - (-3 + 4)). Let i be 35\/6 - 3\/(-18). Let k(b) = 3*b + b - i + b**2 - b**2 - a*b**2. Determine -5*k(t) + 4*l(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 - 4*g - 9. Let z be f(-2). What is the units digit of (z - -299)*16\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/9 - (-10)\/(-45). Suppose 3*p - 40 = -d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -6. Let s = 15 - 8. Let f = s + y. Put f, 4, -3\/5 in decreasing order.\nAnswer: 4, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 20. What is t(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (23 - 37 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13225*z - 60356 = -12461*z for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.19 + -0.81. What is the nearest to 1\/3 in b, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38022804 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:05 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - -2*sqrt(1620))*-1)\/(sqrt(90)\/(sqrt(360)*2)).\nAnswer: -156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 497*d*g - 5*d*s + 5*d + 2*g*s - 2*s + 38 wrt g.\nAnswer: 497*d + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34670, -69395, -104126, -138863, -173606?\n\"Answer: -3*g**2 - 34716*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d**2 + 3*d + 15*d - 21*d**2 - 18*d. Let l(z) = 24*z**2. Calculate l(o(f)).\nAnswer: 53016*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110*f**2\/9 - 9898*f\/9 + 20.\nAnswer: -2*(f + 90)*(55*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25596932 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(16)*-4)\/(sqrt(200)*-6).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7353 and -0.4.\nAnswer: 7352.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -620412 + 879085. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 10. Let i be g(-6). Let v = -2 + i. Suppose -2*l = l - 12. Solve 0*q - l = v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 4*y**2 - 5 + 0*y**2)*(1 - 1 + 2*y**3).\nAnswer: -2*y**5 - 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7120.\nAnswer: -1\/3560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17360.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(700) + -1 + -3)**2 + (sqrt(700) - (-4*(1 + sqrt(700)) + sqrt(700)))**2)*-2*6.\nAnswer: -143185 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/2*g**3 + 2*g + 0 + 1\/6*g**4 - g**2. What are the prime factors of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31418770, 62837544, 94256318?\n\"Answer: 31418774*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - v = -6*m + 5, 5*m = -2*v + 23. Let h(j) = -j**2 + 6*j - 7. Let c be h(7). Let w be 10\/c - (2 - m). What is the closest to 0.1 in -0.4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1088515 to four dps.\nAnswer: -0.1089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4 and -9\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101886249 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -706928 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160\/(-24)*-2*30\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 12?\nAnswer: 67\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -13 - (11 - (4 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2739 and 23\/17858778.\nAnswer: 196446558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22353.52 - -3.\nAnswer: 22356.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/15)\/1 + (-2)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 49. Let w = -51 + x. Solve -w*h = h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -354?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 222.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-15)*(-12)\/14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50688d (base 14) to base 2\nAnswer: -1010010100111101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435872 is divided by 1362?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 654.1085 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0252 - -248.1252. What is u rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.5. Let j = 1333 - 25325\/19. What is the closest to 2 in v, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 6104a?\nAnswer: 6104d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((2\/(-4))\/((-6)\/(-4))). What are the prime factors of s\/(-6)*28\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274567\/71 + -3867. Let a = -538\/213 - y. Find the common denominator of 29\/24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118361, -236692, -355019, -473342, -591661, -709976?\nAnswer: -828287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315\/8 - 39. Let z = 47\/40 - k. What is the third biggest value in z, -1\/3, 2\/5, 2.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*h**3 - 118*h**3 - 129*h**3 - 119*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:06 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2630 and 1025.\nAnswer: 539150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4 + -1*sqrt(80) + 3)*-5 + 5)**2.\nAnswer: -1800*sqrt(5) + 4025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4297 - 1?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*104\/(-48)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1837 + 21*r - 1837 to x*r + p and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4264\/(-328))\/(1*(6\/10)\/3)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**7\/6 - 3*t**6\/10 - t**5\/4 + 3*t**4\/4 - t**3\/3 - 4*t. Factor z(q).\nAnswer: q*(q - 1)**2*(q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 11, -6, -37, -88?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -64. Let q(f) = -f**2 - 37*f + 205. What is the remainder when q(-39) is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -7\/2*p**2 - 1\/6*p**3 + 0 + 64*p. Give j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/207 and -37\/782.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -438.05 + 438. Let n = -0.050024 - y. What is n rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 29, 19, 3, -8, -4, -5 in descending order.\nAnswer: 29, 22, 19, 3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + x. Calculate the remainder when 918 is divided by z(-8).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41110 + -2414243?\nAnswer: -2333133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - (-3831)\/10. Let d = 404 - o. Find the common denominator of -99\/4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrsyessyrr. What is prob of picking 1 e and 2 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from gxpga.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 0.4 (c) -4.2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/7*24 + (-24)\/(-42). Let w be 4\/((o\/6)\/(4\/12)). Let d(g) = 5*g**2 - 4*g + 6. Let c be d(w). Solve v + v - 16 = 5*m, v - c = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let b(w) = -w. Let r(f) be the first derivative of 5*f**2\/2 + 2. Let j(o) = -3*b(o) - r(o). Calculate j(y(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s. Let h(r) = r. Let z(j) = -a(j) - 25*h(j). Let v(u) = -8*u**2. What is v(z(y))?\nAnswer: -200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 10, 0 = -3*s + 3*x. Find the second derivative of 3*h**2 - 6*h**2 + 5*h + 0*h**s wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20229700 to the nearest one hundred thousand.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 791367 and 5523?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:15 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(4\/11)*f*f*f**(-11)*f)\/((f\/(f**(-3\/8)\/f))\/(f*f**(4\/3))) assuming f is positive.\nAnswer: f**(-1763\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71 - 16 - 59 - (6 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 767 - 479. Suppose -2*n = -4*x - 6*n + y, -3*x = 4*n - 216. Let z = x + -19. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-7)*m**(-9)\/m)\/((m**(-10\/7)*m)\/m**7))**(-14\/11))**(3\/35) assuming m is positive.\nAnswer: m**(402\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 + 316. Let d(k) = -k**2 + k - 13. Give d(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(39)\/sqrt(3) - (-2 + -2 + sqrt(13)) - sqrt(104)\/((sqrt(24) - sqrt(24)*4)\/sqrt(3)).\nAnswer: sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2)*-5)**2 + -6*(2*sqrt(17))**2*-3.\nAnswer: -300*sqrt(17) + 5149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s - 11\/2*s**4 + 36*s**2 + 0 - 11\/10*s**5 - 12*s**3 - 1\/40*s**6 + 1\/70*s**7. Factor c(p).\nAnswer: 3*(p - 6)*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1969 + 6124 = 15*m. List the prime factors of m.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2223 + 90\/(-18 - -9). Round v to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -863*t**2 + 102*t - 103. What is i(1)?\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let u = 8.1 + -8.6. What is the nearest to 1 in q, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -1. Let a be (-3)\/6 - 6\/r. Let s(g) = 144*g + 2. List the prime factors of s(a).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let p(f) = -f**3 + 15*f**2 + 14*f - 28. Let z be p(15). Let c(b) = 462*b - z*b - 187*b. What is w(c(o))?\nAnswer: -17298*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4772356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3025 and 11825?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3 + 3)*(-20*b - 185 + 185) + (8 - 8 - 7)*(-6*b**2 + 9*b**2 + 0*b**2).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5030\/71 greater than -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 + 2 = 5*z, 5*q = z + 21. Let o be z\/(-7) - 2596\/(-154). Suppose o*i - 12*i = 480. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*n**2 - 1 + 113*n**2 + 0 + 14 wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177 (base 8) in base 12?\nAnswer: -7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/6 - 35229*q**4\/2 - 465397108*q**3 + 1396244168*q**2\/3.\nAnswer: -q**2*(q - 1)*(q + 52844)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*y - 960 = 0, -o = -2*o - 2*y + 179. Suppose 5*f = 1 + o. Calculate the remainder when f is divided by 11\/1 - (-2)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 23*l - 663 = 0. List the prime factors of l.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 373 + -68. What are the prime factors of g?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r, -5*i = -4*r + 3*r - 27. Let z(j) = 21*j + 22. Let t be z(i). Suppose -t + 629 = 2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100518 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -102. Let a(c) = c**3 + 2*c**2 - 4*c. Let k(y) = 2*y**3 + 3*y**2 - 5*y. Calculate v*a(n) - 3*k(n).\nAnswer: -2*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - -2*sqrt(104)))*3 + sqrt(104))\/(sqrt(8) - -6*sqrt(16)\/sqrt(2)).\nAnswer: -5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*w + 4*f - 10, 4*f = 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-26 + 30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let b be ((-12)\/(-8))\/((-3)\/(-10)). Suppose -14 = d - 4*o, 0*d - b*o = d - 22. Let x(u) = -2*u**d + 6*u**2 - 3*u**2. Give v(x(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 37*y**2 - 32*y - 194. What is the remainder when 258 is divided by m(38)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = 66. What is the common denominator of (-3 + (-142)\/b)\/2 and 4\/6 - (-482)\/24?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1390463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.022 + 0.0262. Let x = u + -92.8482. Round x to 0 dps.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306824 and 46438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.294 + -6.394. Sort 0.2, 0.3, c, -2, -1\/3 in descending order.\nAnswer: 0.3, 0.2, c, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -233669 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16.592824*-5\nAnswer: -82.96412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o - 1. Let c(z) = 40*z + 10. Let k(s) = -c(s) - 6*n(s). Let f be 74\/14 - (-4)\/(-14). What is k(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q - 57 - 41 = 0. Solve 6 = 2*u + q*t, 4*u + 9*t - 6 = 8*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6610, -13217, -19820, -26419?\nAnswer: -33014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - b + b)*(5 + 2 - 6) + 0 + 0 + 3*b + (-3 - 2*b + 3)*(-17 + 26 + 33) - 5*b + 128 - 128 to p + g*b and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18291, -18283, -18263, -18225, -18163, -18071, -17943, -17773?\nAnswer: -17555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.27 - -42.8. Does v = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzmtzmzmmzmmmmzgm. Give prob of picking 1 m and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 + -20.8. Let q = m - -10.7. Sort q, -11, -2\/5 in ascending order.\nAnswer: -11, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53551996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 42. Let y be l(-7). Let j(m) = -m**2 + 5*m - 1. Determine j(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/17229 and -119\/12?\nAnswer: 68916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 - -316. Let d = -98.39 + w. Let a = 0.60938 - d. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 68, 119, 222, 395, 656?\n\"Answer: 3*a**3 - a**2 - a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i + 1001479 = -5476019. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72583279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9*a**2 - 3.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - -2.8. Let n = -4 - -2. Which is the third biggest value? (a) n (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*p = -6*p + 14, -2*h - 5*p = -13. Let o(r) = -r - 1. Let z be o(h). List the prime factors of (z + -1)\/((-3)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2329 = g, -5*g + 2945 = 3*i + 636. Let b = -182 - -707. Let j = i - b. Does 38 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/3*q**3 + 0 + 49*q - 2\/3*q**4 - 5*q**2 - 1\/20*q**5. Calculate z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4910 is divided by 1801?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.045\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-41 - -27) + 2 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.39 (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from sdddddddsdddddssdd.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/3 - -10. Suppose -5*z + 10 = -5*o, -3*o - 28 = -5*z - 7*o. Sort n, -0.1, 10, z in decreasing order.\nAnswer: 10, z, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 393 - 398. Suppose 5*d - 10 = -5*h, -3*d + 7*d + 1 = -h. Put c, -4, h in ascending order.\nAnswer: c, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.1, 5, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 128545739 and 104627.\nAnswer: 128650366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1332 - -14?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11867 - 13256 = 1010*u + 1137 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3, -1\/2, -3, -0.167?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03603 - -0.53603. Let w = 20 - 44. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -82317\/2 and -41159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11815 is divided by 216.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*b**2*h**3 - 2*b**2 - 10*b*h**2 + 2156*h**3 wrt b?\nAnswer: -80*b*h**3 - 4*b - 10*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 39. Give s(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3951788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/15))**14)**(2\/11) assuming j is positive.\nAnswer: j**(56\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863984*b + 1863974*b = -90 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 3\/2*b**2 - 1\/4*b**4 + 0*b**3 + 2*b + 23. Find m, given that u(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3136 and 14?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -4\/7, 0.6, 1\/10, -3, 2819?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 39.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0.1 (b) -5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnunndmnlnnmdll. Give prob of sequence nldl.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*v + 29. What is the remainder when 37 is divided by 705\/27 - v\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.61 + -2.61. What is the third smallest value in 4, q, 4\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1227968 and -37\/19187.\nAnswer: 1227968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 784333237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -83, -0.1, 2\/7, 0 in decreasing order.\nAnswer: 2\/7, 0, -0.1, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79187593.\nAnswer: 79187593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 3*o)*(-2*o + 0*o + 4*o)*(0*o + 0*o + 2*o**2) - o**4 + 0*o**4 - 2*o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -35*c**2 - 3*c - 4. Let b(x) = -69*x**2 - 7*x - 9. What is 6*b(l) - 14*y(l)?\nAnswer: 76*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j**3 - 99*j**2 - 84*j + 14. Let w be m(-9). Solve -4*z + 37 = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/136 in -71, -4, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3417871990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -411*f + 10. Is r(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284767\/85 - 20\/(-25)?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - t = -16, -3*t - 17 = 5*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 865985?\nAnswer: 865985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*-19.573\nAnswer: -97.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4130\/11 + -375. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -19.8917.\nAnswer: -477.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*n + 27, -h = -3*n - 2*n + 12. Let d(r) = -r**2 - 8*r + 5. Let s(a) = -5*a**2 - 32*a + 21. Let p(l) = -9*d(l) + 2*s(l). What is p(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 424274, 424264, 424254, 424244?\n\"Answer: -10*g + 424284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/17625 and -11\/423.\nAnswer: 52875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljjj when four letters picked without replacement from {g: 13, l: 1, j: 3}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = 5*n, 0 = -4*u + n + 10 + 8. Let m(z) = -z**2 + 4*z + 4. Let h be m(u). Let f(j) = j**2 - 2*j - 4. Let c be f(h). Solve 2*b - c*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 2.3, -4, -8\/7, -11 in descending order.\nAnswer: 2.3, -0.1, -1, -8\/7, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 304\nAnswer: -71\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from zzzzzoozzzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 881*q**3 + 2*q**4 + 5*q**2 - 4*q**2 + 78*q - 879*q**3 in the form z*q + y*q**3 + k*q**2 + g*q**4 + h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose s*u - 3*q = -8, -2*u + 4*q - 18 = -3*u. Let k be 10\/6 + (-24)\/72. What is the third smallest value in u, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**2\/2 + 10307. Let s(k) = 11399*k**2. Determine s(i(h)).\nAnswer: 11399*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42416 and 162?\nAnswer: 3435696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2*a + 3*a + (5 - 3 + 6)*(-31*a - a - 9*a).\nAnswer: -326*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*1)*1 + sqrt(170))))) + sqrt(170))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 59*t**3 - 3868*t - 61*t**3 + 182*t**3 - 60*t**3.\nAnswer: 2*t**3 + 2*t**2 - 3868*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3892 and 4?\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114987092 is divided by 4739?\nAnswer: 4735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -5.8. Let j = -4 + f. Sort -0.4, -2, j in ascending order.\nAnswer: -2, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.061, -0.005, 0.5, 122?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 1. Let s be h(2). Let x(p) = -2*p + 7. Let u be x(s). Let g = -43 - -39. Put g, -5, u in decreasing order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386544532 a multiple of 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by 43745\nAnswer: 249\/43745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -80*j + 73*j - 21*j**2 + 19*j**2 - j**3. Let i(r) = -r**2 - r. Suppose 4*g = -3*z - 5, -z + 5 = -3*g - 2. Let p(f) = z*b(f) - 5*i(f). Factor p(m).\nAnswer: -m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -150.39198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54060 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((468\/(-312))\/(12\/(-2)))\/(21\/24). What is the smallest value in n, -2\/5, -1\/580, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 39 + 39 + k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1696 - -2850. Suppose -134 = 34*g - f. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 2*f - 6*f + 4*p, -p = 1. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -300, -601, -902?\n\"Answer: -301*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 17*r - 10. Let s be j(-10). Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1890 + -1886. Solve 5*n - t*y + 8 = -0*n, 3*y + 29 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3017*b**6 + 32*b**4 + 160*b**3 + 309*b**2 + 7221*b.\nAnswer: -362040*b**3 + 768*b + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -19. Suppose -o*y = 4*q - 75, 5*q - 49 - 17 = 3*y. Calculate the highest common divisor of 60 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + ((-124)\/18 - 480\/(-540))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.21 and 37.\nAnswer: 35.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2, 10\/13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -864 - -864. Suppose p = -67*a + 52*a + 465. Calculate the remainder when 334 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10572309.\nAnswer: 3, 11, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 38 = 3*x, 3*i = -x + 17 + 4. Suppose 0 = -3*u - 4*r + x + 3, -r - 15 = -5*u. Solve 6 - u = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + 122\/14 + (-80)\/14. Let t(c) = c**3 + 8*c**2 + 15*c + 8. Let g be t(u). Let m = g - -154. Is m a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -3*z**4\/4 - z**3\/6 - z. Let g be 12*(2 - 9\/6). Let m be (-1)\/5 - g\/(-5). What is f(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - 20*b - 15. Let j(i) = i**2 + i + 1. Let s(o) = 15*j(o) + u(o). Let s(t) = 0. What is t?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**3 + 43*t**3 - 134*t**3 + 26*t**3 + 34*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1174 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -401*p**8\/84 + 2*p**5\/15 + 5*p**3 - 920*p**2. What is the third derivative of z(w) wrt w?\nAnswer: -96240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 34. Suppose -3*q - 4*i + 51 = 0, -2*i - 34 = -v*q - i. What is the remainder when 32 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -44. Suppose 6 - f = l, 87 = w + 5*l. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.36, 1226842?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 4 - ((-12)\/4 - -3). Which is the second smallest value? (a) s (b) -0.03 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from bbbbbbbbbbblbo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x - 162 = -30*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02468507 rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 83. Suppose -8*m + 0*m = -p. Let n be (0 + 4)*10\/2. Solve 25 = 5*v - d, -m*v + d = -7*v + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 312964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298*o**2*w**3 + 242368*o**2*w**2 - 168*w**3 wrt w.\nAnswer: 1788*o**2 - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156769998?\nAnswer: 2, 3, 7, 11, 29, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 19. Let j = 14 - k. Suppose j = i - 4*i + 42. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254051170.\nAnswer: 2, 5, 41, 107, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -1\/108*o**6 + 7\/36*o**4 - 2\/3*o**3 + 0 + 24*o**2 + 1\/945*o**7 + 0*o + 1\/270*o**5. Factor d(y).\nAnswer: 2*(y - 3)**2*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3296474 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (891\/2835*224)\/(-4)?\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1\/4, 2\/3, -6\/17, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g - 136 + 136 + (g + 2*g - g)*(-4 + 1 - 2) - 2*g - 2*g + g as f + z*g and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 21 = -5*k, k - 2*r + 3*r - 6 = 0. Suppose 0 = -5*z - 4*o + k*o + 43, -30 = -3*z - 2*o. Calculate the highest common factor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let n(q) be the first derivative of 150*q**3 + 5 - 149*q**3 - 1. What is a(n(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.66 - 6.652. Which is the second biggest value? (a) 4 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7873 + -17419. Round f to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*o = z - 196, 4*z - 4*o + 152 = 0. Let v be ((-52)\/z - 1)\/(6\/45). Sort -1\/9, 4, v, -2\/5 in decreasing order.\nAnswer: 4, v, -1\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 - 4 = 0. Let j(i) = 7*i**u - 12 + 4 + i**3 + 7*i + 2*i**2. Let l be j(-8). Solve -6*y + y = l, -3*y - 4 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/24*4)\/((-2)\/(-16)). Let z be (-63)\/l - (9 - 4)\/(-20). What is the greatest common divisor of 368 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001312128577 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(280))\/(sqrt(252)*1))\/((((-1*sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192))\/sqrt(6))\/(sqrt(4) - sqrt(72)\/sqrt(2))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -3*p - 14*d - 20, 0 = 9*p + 2*d + 52. Let g be 3\/1 - (-1)\/(-1). Let y(h) = -3*h**g + 5*h**2 - 3*h**2 - 4*h - 1. Calculate y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.789 - -856970883\nAnswer: 856970899.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -361133, 2\/15, -74, 0, 0.5 in ascending order.\nAnswer: -361133, -74, 0, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*b**5 + 11597*b**4 - 2*b - 632341 wrt b.\nAnswer: 1600*b**3 + 139164*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 0. Let n = -64 - -76. Suppose 0 = -n*d + 14*d - 12. Solve h = 2*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14066 and -35\/18993.\nAnswer: 20550426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3680746, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 300566414*v**2 + 1 + 300566415*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*m = -25, -28*m + 80 = -2*n - 20*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-18) - (-10)\/6. Suppose 0 = -y - 2, 3*y - 73 = 3*m - y. Let q be (2 - 8\/3)*m. Solve -3*s + s - 2 = 3*n, 2*n = k*s - q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20242 (base 5) to base 12.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556148*r - 556148*r - 83*r**2.\nAnswer: -83*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13422311 - 3?\nAnswer: -13422314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -2 - 1\/2*y**2 + 0*y. Let c(x) = x. Let n(k) = 2*k**2 - k. Let z(s) = c(s) + n(s). Determine o(z(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1989178 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46772717 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -353\/2 at most as big as -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.91 - 9.95. What is the closest to 0.1 in 35, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -32742*i + 2062744. Calculate f(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177 * 3.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nasnslvlls. What is prob of sequence nnal?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 116.9 and 12580.\nAnswer: 12696.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 18 in ascending order.\nAnswer: -1, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*u**3 + 51*a*u - 6*j*u**6 - 6*j*u**4 + j*u**2 + u**2 wrt u?\nAnswer: 18*a - 720*j*u**3 - 144*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -813759.\nAnswer: 406879.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a**3 - 74*a**2 - 126*a + 603. Determine p(5).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4.84. Let l = n + -0.36. Sort -2, -0.1, l in descending order.\nAnswer: -0.1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 81, 71266 in ascending order.\nAnswer: -1, 81, 71266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -12, 4 in increasing order.\nAnswer: -21, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1164 = -2*f - 275, 1787 = 4*f + d. Let j = -315 + f. Is j 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 12:06 PM and 12:08 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 14*x**4\/5 - 2676*x**3\/5 - 5022*x**2\/5 + 772*x\/5 = 0.\nAnswer: -2, 0, 1\/7, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:18 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889.4035 litres to millilitres.\nAnswer: 889403.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/198*(-352)\/128.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 193, 278, 357?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 4*u - 10, 2*r - u = 6 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242)\/(-2541)*(24\/(-6))\/((-3)\/3).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 - 5. Which is the nearest to -3? (a) 2 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n**3 - 14*n**3 + 11*n**3.\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2294*v = 2303*v - 45. Let m(n) = -n - 7. Suppose 3*c = 4*y + 37, -27 = 5*y - c + 11. Let d be m(y). Solve v*z - 3*z - 10 = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + ((sqrt(66) + sqrt(66)*1)*3 - sqrt(66)))\/sqrt(6).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/7790*82*6\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.19? (a) -0.1 (b) -65 (c) 2\/51 (d) 1\/6 (e) 4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -49.7. Let x = -9\/8 - -77\/40. What is the nearest to 0 in x, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 + 2.29. Suppose 539*t = 534*t + 230. What is the fourth smallest value in j, 1, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6*(-114)\/(-380). Which is the smallest value? (a) d (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4*f - 50 = 0. Which is the closest to -1? (a) 46 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - q**4 - 4*q**4 - 3*q**2 + 2*q**3 - 3*q**4 to the form w*q**4 + l + f*q**2 + r*q + a*q**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-208)\/(-36) - (6\/(-27) + 0). Let n(t) = -t**3 + 6*t**2 - 5*t - 9. Let b be n(x). Let i = b - -44. Solve 0*y + 4*y - 3*c = 5, 5*y - 4*c = i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, h: 4, y: 5}. Give prob of sequence yp.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) 3\/2 (b) -2 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = -b + 22839, 5*b = -2*i + 114141. Let j = -4973 - b. What is j rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqrr. What is prob of sequence rrq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9048 divided by 696.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3359352571 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j + j**3 + (-12*j + 16*j + 18*j)*(-9*j + 9*j + 6*j**2).\nAnswer: 133*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 3*y + 3*y)*((0*y + 3*y - y)*(-y + y - 2*y) + 351*y**2 + 68*y**2 - y**2).\nAnswer: 1656*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (238\/(-42) + 4732\/168)\/(-4*25\/(-360)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-13)\/(-624)*(-4)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485528*i + 64 = 485526*i for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12) + 0 + (-1)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 60008 = -5*w, 2*i + 47996 = 4*w + i. What is w rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(24)\/sqrt(2)*2)\/(4*sqrt(96)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**2. Let p = -36 - -46. Let j(f) = 6 + 2*f - p + 4. Determine j(x(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.533.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 1839075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -233*d. Let s be f(-2). Suppose -x = x - s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*c - 655, -5*w - 9*c + 1089 = -5*c. Suppose 23 = z + 4*b, 3*z - 8*z + 147 = 4*b. Calculate the highest common divisor of w and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-205)\/(-902)*(-4)\/5. What is the biggest value in z, 1\/4, -30\/19, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 - 43 = 0. Calculate the lowest common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + -1*(-4 - -3). Let d be j\/30*(-10)\/(-4). Which is the third biggest value? (a) d (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*m + m - 1162208, -5*m + 774802 = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -r + 546*t - 550*t, 91 = 4*r + 3*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r\/(r\/((r*((r*r\/(r\/(r*(r*r\/((r*r*r**5*r)\/r))\/r))*r)\/r*r)\/r)\/r)))\/r)*r*r**(2\/11)*r)\/((r**2\/r)\/r**(-2\/13)) assuming r is positive.\nAnswer: r**(719\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*u - t - 2, u + 2*t = 6. Suppose 5*x - u*s = 224, x + 44 = 2*x - s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.28 - 25.72. Let x = w - 42. Which is smaller: 1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 4*c**3\/3 + 41*c**2 + 89*c. What is the remainder when 34\/4*(-6)\/(-1) is divided by l(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*c**2 - 10*c**4 + 53*c**2 + (4 - 8*c**2 - 4)*(2*c - 2*c - 2*c**2).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*a**3*h + 2*a**3 + 4*a**2*h - 102*a*h wrt a.\nAnswer: -852*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*s - 18, -2225*s + 2223*s = 3*i - 26 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 855414 and 4662?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 458.1851029 to one dp.\nAnswer: 458.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13087, 13084, 13081, 13078, 13075?\n\"Answer: -3*k + 13090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*-7*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ionbnooxinboxxbb. What is prob of picking 3 n?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -22, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-1*sqrt(77)*4 - sqrt(77)))*-5)\/(sqrt(891) + -2*sqrt(891)*-1).\nAnswer: -10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/47)\/r))\/r**(-2))\/((r\/(r\/r**(-1\/5)))\/r*(r**(-11\/2)*r)\/r) assuming r is positive.\nAnswer: r**(5009\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 43 + 45. Calculate the remainder when (5\/10)\/(3*4\/(-120))*-7 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 9*k**2 + 25*k - 9. What is the remainder when 46 is divided by y(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -115338\nAnswer: -161473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 7*o**3\/6 + 4*o. Let j be (-4)\/(-18) + 156\/27. What is the remainder when w(j) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 111?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.018 + 0.478. Let x = w + -4.87. Let z = x - 0.19. What is z rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.579? (a) -5 (b) 0 (c) -0.044 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3)*2.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2. Let x(r) be the third derivative of r**5\/60 + r**2. Give a(x(v)).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 + 4 = 0. What is the remainder when 5 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 28025*s - 2939620.\nAnswer: 5*(s - 103)*(s + 5708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327326 divided by 40222?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let k = 19 - o. Let u = 33 - k. What is the highest common divisor of 99 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 80 - 264. Suppose 0 = -2*k + 6, 50*x + 48 = t*x + 4*k. Put x, 1, -2, 3 in decreasing order.\nAnswer: 3, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381 and 420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2694)\/(-66) - 4\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -602cc (base 14) to base 11\nAnswer: -148672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 18, r: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -35*x + 17. Let d be z(4). Let f be d\/(-4) - (-12)\/(-16). List the prime factors of (f\/(-1) + -4)*-1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + 36 = 4*c, b + 16 = -c. Is (b + -2)\/(4\/(-134)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 3.09. Let d = v + 3.6. Let s = -0.027 + 0.027. What is the second biggest value in 4, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*n + 3*t - 19, 3*n = -t + 26. Suppose 4*h = -0*h + 40. Let z = h + -1. Calculate the least common multiple of z and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176 + 1181 - 36*q - 4696 + 1157 + 1182 + 38*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7023451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6 = 2*k - 12, -2*k = -2*w + 12 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 43*k. Let x(t) = 2*t**2 + 15*t. Let a(n) = -3*g(n) - 8*x(n). Let d(m) = 3*m**2 - 4*m. What is 6*a(y) + 13*d(y)?\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3588\/64 - (581 + -525).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5. Let y be j(-4). Suppose 0 = 15*f - y*f - 1060. Suppose -f = -8*r + 7*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261515707 to the nearest integer?\nAnswer: 16171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*f + 42*f - 95*f - 18*f in the form h*f + k and give h.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - v - 36, x = 2*v + 16 + 5. Let c(t) = t**3 + 29*t**2 + 94*t - 281. Let n be c(-23). What is the highest common divisor of n and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 + j + 1. Let z be q(-1). Let m = z + 3. Suppose m = -0*s + 4*s - 56. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4614, -9372, -17302, -28404, -42678, -60124?\n\"Answer: -1586*h**2 - 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 + -107. Let s = 144 - j. Let z(d) = 8*d + 4. Let i(b) = -b - 1. What is s*z(u) + 4*i(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -78*c**2 - 4311*c + 4312. Determine n(1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1350506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, 0.5, 3, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 60. Let l(g) = 154*g + 1141. Let y(c) = -3*l(c) - 56*o(c). Calculate the remainder when 97 is divided by y(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41642024?\nAnswer: 2, 5205253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 11:45 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/65 and -31\/1508.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.0645651745.\nAnswer: -0.0354348255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u. Let x be f(-1). What is the greatest common factor of 112 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260145.\nAnswer: 3, 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 18396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678 rounded to three decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -14*t + 780. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -232011302?\nAnswer: -232011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105525 = -58*s + 557. Is s a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2193 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/36)*m)*m**(-4\/7)\/m)\/(m*m**(1\/8)*m*m**(-20\/7)))**16 assuming m is positive.\nAnswer: m**(-874\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8039958 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**4 - 42*i**3 + 42*i**3 - 13 + (0*i**3 - 3*i**3 + 4*i**3)*(2*i - 3*i - 3*i).\nAnswer: -10*i**4 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amammmmamm. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -34. Suppose 3*j = 2*j + w. Suppose 3*h + 6 = j. What is the smallest common multiple of h and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 291, 664, 1187?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 - b + 1. Let q be n(-5). Suppose q + 314 = -2*p. Is 3 a factor of p\/(-28) + 2\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from wwbwbbobowb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 3. Suppose 0 = v*o + 5*i - 18, -4*o - 3 = 3*i - 11. Let x(l) = -5*l - 1. Let a(q) = -q. Calculate o*x(h) + 2*a(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 87 - 87.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = 4*b. Let y be (-4 - -1)*8\/b. Solve 0 = -y*u - 0*u - 4*g + 20, -2 = -5*u + 2*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 1, 4, 11\/19, 0.8?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:30 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466509088.\nAnswer: 2, 14578409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (6\/12)\/(1\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 863 + -444. Let p = t + -419.1195. What is p rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41205 divided by -28\nAnswer: 41205\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {w: 1, s: 2, i: 3, n: 7, c: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -303.\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*t - 37 = 0, -7*c + 2*c - 4*t = -35. Suppose v = 4*u - 8, -c*u = -3*v - 2*u - 13. Sort 7, v, -1, 0 in increasing order.\nAnswer: v, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrrrvrvrreeree. What is prob of sequence vev?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 2. Suppose y = -n + 8, 2*n + 0*n = -y + 11. Let f(w) = -n*w + 3 - 2 + 0*w + 4*w. Determine -5*f(u) - 2*j(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 54 = 3*d, -3*r - d + 38 = -r. What is the smallest common multiple of r and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50280 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, -29, -13 in decreasing order.\nAnswer: -5, -13, -15, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*-3 + -43. Let g = v + 61. Let a be (5 - (-3 + 4)) + 0. What is the greatest common factor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/174 and -49\/1443?\nAnswer: 83694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664954890?\nAnswer: 2, 5, 673, 247393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(12\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54.4892 times -5\nAnswer: 272.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -122. Let d be i\/7 + 6\/21. Suppose 4*t + d - 90 = 0. Calculate the lowest common multiple of 16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/15 - -7\/165. What is the third biggest value in -1\/13, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)\/9*3. Let r(p) = -p**2 + p. Let g(q) = -2*q**2 - 2*q. Let x(c) = t*r(c) - g(c). Let v(z) = 6*z**2 + 16*z. What is 3*v(y) - 16*x(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and 25\/(-10) + (-186)\/(-9) + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139360 and 13936?\nAnswer: 139360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -77*m**6\/120 - m**5\/60 - 47*m**4\/8 - 67*m**2. Find the second derivative of r(p) wrt p.\nAnswer: -462*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0527 and 58?\nAnswer: 58.0527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(sqrt(1872) - (1 + sqrt(1872) + 4)) - -6*(-5 + sqrt(1872) + -1)))**2 + 0.\nAnswer: -7776*sqrt(13) + 606852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033409 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028654 tonnes in nanograms?\nAnswer: 28654000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292*a - 1268*a = 48. Let f be (-2)\/(-2)*39 + 1. What is the highest common factor of f and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 434.7415 centimeters?\nAnswer: 4347415000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -25. Let z be (-8 - -2)\/(-6 - g). Solve z = 2*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2721.508 rounded to 0 decimal places?\nAnswer: -2722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 1040?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 496*u - 1588224\/7.\nAnswer: 2*(u - 2112)*(u + 376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:46 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/525 - 3*j**6\/25 + 64*j**5\/25 - 256*j**4\/15 + 25*j**2 + j. Suppose z(x) = 0. What is x?\nAnswer: 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-25) + (-1752)\/210)*35\/(-10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131103 + 33?\nAnswer: 131140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b + 4*b + 2*b + (3*b - 4*b - b)*(-4 + 4 + 1) + 0*b + b - 3*b + (-b - 2 + 2)*(0 + 4 - 3).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -64. Let z = -68\/3 + 23. Which is the closest to z? (a) 4 (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5*(sqrt(114) + sqrt(114)*1 - sqrt(114)))\/(-2*sqrt(600)) + (sqrt(171) + ((sqrt(171)*2 + sqrt(171))*5 - sqrt(171)) + sqrt(171))\/sqrt(9)*-4)**2.\nAnswer: 514*sqrt(19) + 1255187\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/6 - 1527*z**5 + 6*z**3 - 31*z**2\/2 + 4*z - 9089. What is the third derivative of a(c) wrt c?\nAnswer: -60*c**2 - 183240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 1. Let r be h(1). Suppose -t + 10 = t. Sort t, r, 2 in descending order.\nAnswer: t, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(50\/((-25900)\/37))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41938.33 kilograms in tonnes?\nAnswer: 41.93833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69355709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5085\/2 + 2542. Which is the fourth biggest value? (a) 7.1 (b) 0.4 (c) z (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 5*j - 35, -2*r + 6 - 13 = -5*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.01 - -21. Let f = 1.99 - h. Let j = 1.118 + -0.118. Sort -1, f, j in ascending order.\nAnswer: -1, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 6. Suppose -45 = -5*r + 70. Let d = r + -13. What is the units digit of o(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1573 and 1575299.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = 65*y - 83. Put -1, y, -4, -12.3 in ascending order.\nAnswer: -12.3, -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-2800))\/((-5)\/70)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 5*h**3\/3 - 375*h**2 + 28125*h + 249. What is a in x(a) = 0?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let s be a(-6). Let x = s + 15. Let z = 25 - 0. Calculate the greatest common factor of z and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/24 and 71\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.1. Which is the second biggest value? (a) -0.1 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31056 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(4\/21)*v))\/v**(-11)*(v**(4\/9)*v)\/(v*v**(-1\/10)) assuming v is positive.\nAnswer: v**(6523\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 2. Let k be c(4). Let n be ((-8)\/10)\/(k\/(-15)). Suppose w - 12 = 5*q - q, -n*w = -2*q - 12. Solve -3*l - x = 0, 4 + w = -5*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 3, e: 3}. Give prob of picking 1 e and 1 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78797 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -567. Let t be ((-20)\/4)\/15 - d\/6. Let w = t - 34. Solve 0 = -5*s - 3*p + 5, -2*p = s + w*p - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39a (base 15) in base 4?\nAnswer: 30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 5. Let i be r(-5). Suppose i*z = 5*z - 85. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251086 divided by -1?\nAnswer: -251086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18970 and 1420?\nAnswer: 2693740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4))\/a*a**3*a**(-6)\/((a**(3\/13)*a)\/a))**26 assuming a is positive.\nAnswer: a**(-181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**3 - 12*p**2 + 48*p + 204. Let k = 310 - 309. Let f(z) = -z**3 + 2. Let j(n) = k*g(n) - 6*f(n). Factor j(d).\nAnswer: -3*(d - 4)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 24*o**2 - 2*o + 2. Let b be f(-4). Suppose -13*t + 9577 = 8628. Let h = t + b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 - 1616791*q**3 - 23475225*q**2 wrt q?\nAnswer: -24*q - 9700746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*230\/(-897).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 11*w**2 - 19*w + 17. Let o be n(-9). Suppose 2*m - 236 + o = 0. Suppose 165 = 2*l - h - 80, 4*h + m = l. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68) + sqrt(68) + sqrt(68) + 4*(sqrt(68) + sqrt(68)*-1) - (sqrt(68) + (sqrt(68) - sqrt(68)*-1)*-5))\/(1*sqrt(256)*-5)*-2.\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -68 + 28. Let t = -72 - -77. Suppose -3*s + 25 = 2*x - 6*x, -2*s + t*x = -19. What is the remainder when u is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -33496 - 13621. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/4 + 1\/(-2). Let k(q) = 3 + 4*q**2 - o*q - 8*q**2 + 0*q**2. Let i be k(-5). Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*f - 7, -68*f = 2*t + 251 - 125 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320 - 280. Suppose 80 = 44*u - v*u. Calculate the greatest common divisor of u and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let q be 0 + 0 - -2 - 17. Let l = -11 - q. What is the smallest common multiple of l and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccccxxcxccccxcccccc. Give prob of sequence xxx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 284*b - 6. What is the hundreds digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-9)\/(27\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2. Let v(h) = -16869*h. Give v(g(d)).\nAnswer: -134952*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1646 + 2914. Suppose -5*y + i = 308. What is the common denominator of 35\/13 and ((-6)\/27)\/(2\/y)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/((-12)\/406) - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25922)\/(-38883)*360\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (11 - 1) - (264 - 271)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 6, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7117, -9, 8 in increasing order.\nAnswer: -7117, -9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82808, -82805, -82800, -82793, -82784?\nAnswer: -82773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332 by 1.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-502)\/(-20) + 98\/245)*-2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 5, -1 in decreasing order.\nAnswer: 11, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35625.500015 - -35625. Let x = w + 0.5. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, l: 5, c: 2, t: 4}. Give prob of picking 1 r and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(280))\/sqrt(8))\/(sqrt(5) + -1*2*sqrt(5)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 6. Let a be 208\/117 - (-2)\/d. Suppose 2*y + 3*k + 99 = 6*y, -3*k + 27 = a*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*-3803.\nAnswer: -201559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5576 is divided by 653.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1016, -1020, -1026, -1034, -1044, -1056, -1070?\n\"Answer: -d**2 - d - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y)*(2 - 1 - 7 - 2*y).\nAnswer: 2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 336 - 1071 + 4*v + 11*v**2.\nAnswer: 11*v**2 - 9*v - 735","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -6. Let n = v + 33. What is the highest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 2*m**2 - 652 - m**4 + 4*m + 652 to the form f*m**2 + a + c*m + l*m**3 + j*m**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*v - 13, 0 = -4*f - 2*v - 6 + 34. Let u(g) = g - 3. Calculate u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73696 and 52640.\nAnswer: 368480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 5387 (c) 567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0*y + 2*y)*(14 - 14 - 2*y) + (-6*y**2 + 8*y**2 + 9*y**2)*(-4 + 5 + 1).\nAnswer: 18*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.8629.\nAnswer: -0.034516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 32 = 4*m, 3*w = -w - 2*m - 22. Let p = w + 0. Let n = p - -2. Is -2 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29934 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 10. Let y(w) = -w. Let x(r) = s(r) - 4*y(r). Is 3 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 55*q + 170. Let w be d(-4). Let p(s) = 5*s + 3. Let f be p(-3). Let i = f - w. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + (sqrt(192) - (sqrt(192)*1)**2) + sqrt(192))*-4 - (2 + (sqrt(6)\/sqrt(2) + 0)*-5)**2) + -2.\nAnswer: -44*sqrt(3) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075 divided by 25?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 51, 43?\n\"Answer: -8*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 125 - 3*v - 6*v**3 + 3*v**3 + 5*v**3 in the form j*v**3 + m + a*v + r*v**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -444.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 400. Let f = 151 - 57. Let l = s - f. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 56*f**4 + 16*f. Let t = 8 + -3. Let n(b) = 37*b**4 + 11*b. Let y(h) = t*c(h) - 8*n(h). Find the second derivative of y(i) wrt i.\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.1. Let o = 15.7 + -15. Let i = 1 - o. What is the second smallest value in i, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 966689931 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/3 + 5 + 2\/(-1). Suppose -4 = t*c - 19. Find the third derivative of n**2 - 2637*n + 2637*n + c*n**3 wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4946014 = -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 5*x + 10. Let w be h(0). What is the tens digit of ((-4)\/10 - 56\/w) + 964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (2 - -1))\/((-1)\/(-2)). Let j = n + 25. What is the lowest common multiple of 12 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977c (base 14) in base 13?\nAnswer: bbb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/11)*m*m\/((m\/(m\/m**(1\/3)))\/m)*(m*m**(1\/10))\/m*(m*m**10)\/m assuming m is positive.\nAnswer: m**(4243\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millimeter in micrometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*j**4*x**3 - j**4 + j*x**3 + 6*x**3 + 320*x**2 with respect to j.\nAnswer: -200*j**3*x**3 - 4*j**3 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13588*z - 434838. Give r(32).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(-6)*(8\/4 - 4). Let o be -12 - (3 + 2 + -2). Let b = h - o. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 0.0466 (b) 5 (c) 3 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*m**2 - 39*m**2 + 111*m**2)*(-3 - 2 + 4) - m**2 + 2*m**2 + 2*m**2.\nAnswer: -221*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2656290.\nAnswer: 2, 3, 5, 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:54 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x**2 + 2*x**2. Let r(m) = 23*m**2 + 86*m + 12. Let f(v) = -24*v**2 - 100*v - 14. Let u(a) = -6*f(a) - 7*r(a). Give u(c(g)).\nAnswer: -68*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949164?\nAnswer: 2, 3, 19, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 12*z - 359. Give c(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569697 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4431073?\nAnswer: 937, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a*w**2 + 49*a*w - 7350*a + w**2 + w with respect to w.\nAnswer: 42*a*w + 49*a + 2*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 0*g**2 + 3 - 1 - 2*g**2 in the form v*g**3 + s + h*g**2 + m*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 0.27. Let i = -0.465 - 10.535. What is the biggest value in k, -0.3, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720*i**3\/7 + 22019*i**2\/7 + 47167*i\/7 - 10230\/7 = 0. Calculate i.\nAnswer: -10, -3, 341\/1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 5:28 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89\/78 + 1\/39. Let d(a) be the second derivative of 0 + 12*a - 1\/4*a**4 + v*a**3 + 3*a**2. Factor d(i).\nAnswer: -(i - 3)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) -0.2 (b) 33 (c) 7 (d) 9\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 13 + 10 + 4*a)*(-7 + 5 + 5*a - 17*a).\nAnswer: -24*a**2 + 32*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from yuuuuypouuprurgur.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113.79 + -1.21. Let h = -114.6 - y. Let q be (12\/(-40))\/(-3)*-4. Put q, h, 8 in descending order.\nAnswer: 8, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 33 = -3*y, 0*y + 2*n = -5*y + 27. Is 31 a factor of ((-300)\/y)\/((-3)\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 - 586 - 374 = 137*p - 1144 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5.365.\nAnswer: 9.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3257 + 4?\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0265604166 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 38*c + 29. Let a be z(4). Suppose 7*o = 566 - a. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/147882 and 137\/258.\nAnswer: 6358926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 729568 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1713, 3425, 5137, 6849, 8561, 10273?\n\"Answer: 1712*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + j**2 + 3*j**2)*(j + 0*j + j) + 32*j**3 + 1084*j**3 - 136*j**3 + 216*j**3 + 1997*j**3 in the form o*j + u*j**2 + z + i*j**3 and give i.\nAnswer: 3195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69752724 by 11625454.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.04267um in kilometers?\nAnswer: 0.00000003404267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14746 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*z + 3*y, -3*z + y - 5*y + 113 = 13*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14346, -14345, -14344?\nAnswer: -14343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/3 + 4336*d**3\/3 - 893494*d**2\/3 - 2710864*d\/3 - 604344 = 0. Calculate d.\nAnswer: -2, -1, 234, 1937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3396*p**2 - 1183*p**2 - 33875*p**2.\nAnswer: -38454*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and 2.065415?\nAnswer: 2.085415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.6\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5 - (-35)\/(-10))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17926\/27 + -664. Suppose 5*g + 2*i = -4, 0*g + 8 = -3*g - 4*i. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 153*b - 32 = 149*b, 2*b = 2*l + 12 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1115*w**2 - 2918*w**3 - 2 + 2916*w**3 + 334*w - 333*w as s + p*w**3 + i*w**2 + r*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*o + 454, 204 = 6*m - 4*o - 460. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5083 divided by -17?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/4638377 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -34. Suppose 14 = k - u. Calculate the remainder when k is divided by (9 - 0) + 0 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 10 - 55. Suppose 15 = 5*p + 5*n, -11 = -2*p - 3*n - 4. Sort l, p, -3 in descending order.\nAnswer: l, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, z: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1790.4738 months to decades.\nAnswer: 14.920615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(700)*-3.\nAnswer: -180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 85*n**2 + 2314*n - 4280.\nAnswer: -(n - 20)*(n - 2)*(n + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -196063, -392036, -588007, -783976, -979943, -1175908, -1371871?\n\"Answer: g**2 - 195976*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/703 and 79\/2394?\nAnswer: 88578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -1, -3822, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -341598 divided by -1?\nAnswer: 341598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 - 11*o - 16. Let b(n) = 4*n**2 + 11*n + 15. Let z(j) = -6*b(j) - 5*q(j). What is the units digit of z(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1*4)\/((10\/(-4))\/((-76)\/152)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2935 in 4, -3, -5, -82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**2*h**4 - 9*a**2*h**3 + 2*a**2 - a*h + 2*h**4 + 630*h**2 wrt h?\nAnswer: -336*a**2*h - 54*a**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-38)\/(-14) + 2\/7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:39 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2505 + 180 - 710 - 3572*k with respect to k.\nAnswer: -3572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -20*h + 4. Suppose 528 = 2*d - 225*d + 47*d. Let f(l) = -60*l + 11. Give d*f(v) + 8*j(v).\nAnswer: 20*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 26. Let r(z) = -96704*z. Determine r(l(p)).\nAnswer: 193408*p + 2514304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84684 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409221 by -1109.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((-36)\/(-144))\/((-8)\/576)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*g**2 + 3*g**2 + 42*g**2)*(g - 1 + 1)*(-163 - 69 + 40) to the form m + l*g + k*g**2 + v*g**3 and give v.\nAnswer: -10560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1) + 1*2 - -2. Suppose 65 = s*r + 59. Suppose 0 = r*d - 5*i - 504 + 88, 3*d - 3*i = 426. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*n - 1070*n + 3093 + 14330 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420, 5, 214 in increasing order.\nAnswer: 5, 214, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -432. Suppose -3*b + 9 + z = 0. Suppose -x = 4*a - 75, -5*a - 28 = -5*x - 103. What is the remainder when b is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.5 + -4.2. Let w = 5 - 4.8. Let r = w - -0.3. Sort r, d, 2 in increasing order.\nAnswer: d, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejejbjbj. What is prob of picking 1 b and 2 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjwjjjwwjjj. Give prob of picking 2 w and 2 j.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23260035 and 10.\nAnswer: 46520070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 9*c - 15. Suppose -c*w - w = 4*n - 148, -4*w + 5*n + 103 = 0. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 21. Suppose j = z*s + 20, -j - 3*s = 15 - 0. Solve j = -2*t - 1 + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772364339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 3.96. Let z = t - -3.95. Let i = -0.049904 - z. Round i to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.98? (a) -2 (b) 1\/7 (c) -0.4 (d) -0.3 (e) -2.61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16752939?\nAnswer: 3, 7, 17, 167, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.329 + -0.129. Which is the closest to -6? (a) 2\/9 (b) 0 (c) w (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 9*h**2 + 0*h**2 - 10*h**2 - 4*h - 6 - 31*h in the form u*h + p*h**2 + i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 10*y**2 - 7*y - 4. Let r be c(-4). Let l = r + 790\/11. Let d = 11717\/930 + 1\/930. Find the common denominator of d and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115898 and 417834?\nAnswer: 144988398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.01, 0.6, -5, 2\/4883 in ascending order.\nAnswer: -5, 2\/4883, 0.01, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 5643242073.\nAnswer: 5643242077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 12717, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 54 = 3*d + 57, 5*y + 5*d = -115. Let h = 35 + y. Let g be ((-16)\/h)\/((-4)\/14). Solve 0*b - 21 = -4*b + 5*m, 0 = g*b + 5*m + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -345 - 8012775?\nAnswer: -8013231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/3, -9998?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 5, v: 4, n: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27549, -25755, -22765, -18579, -13197, -6619, 1155?\n\"Answer: 598*c**2 - 28147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -158. Let m = -150 - k. Solve x - 1 = -5*l, 4*l = -5*x + m*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3052 bigger than -51887\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + -14 - (-2 + 44 + -30)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 3*o, -5*o - 5*h + 17 = 7. Suppose -27 = -o*d - 1. Find the third derivative of 4*m**6 + 8*m - d*m - 23*m**2 + 5*m wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 16, j: 1}. Give prob of sequence ns.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274*x - 2222 wrt x?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(12)\/sqrt(4) + sqrt(3) - ((sqrt(3) - sqrt(48)) + -1))*4 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.4 (b) 1\/3 (c) -19\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 13) in base 5?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1384516100 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 723 - 715. Solve -11*q - c = -15*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 6 = 24. Sort -3, g, 1 in descending order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/3 + 46*n**4 + 2362*n**3\/3 - 3664*n**2 + 14341*n\/3 - 1950 = 0.\nAnswer: -117, -25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + o**3 + 3 + 2 + 3*o. Let q be n(2). Suppose -15 = -k - 2*y, q*k = y + 28 - 11. What is the least common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b - 9*b - 24*b.\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -23433152.\nAnswer: -16403206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -28. Suppose -4*n - 8 = -o*a, -a + 6*a - 24 = -2*n. Solve 8 = -a*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 + -3651\/14. What is the common denominator of f and -11\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362486953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.111 + 8. Let j = 437 - 436.87. Let u = j + h. Are u and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 490 and -7.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2965*v + 8902. What is q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -15. Let r = j - 4. Let d = -4\/11 + -2\/55. Which is the closest to d? (a) r (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 41*j. Let d(m) = -8*m. Let i(q) = -660*q. Let w(h) = 84*d(h) - i(h). What is b(w(t))?\nAnswer: -492*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let h(a) = a**2 - 1. Let q(b) be the third derivative of -b**4\/12 - 2*b**3\/3 - 19*b**2. Let v(k) = -4*h(k) + q(k). Determine -5*j(s) - v(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 8*b**2 + b + 8. Let s be c(8). Suppose s*o = 7*o + 2466. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6)*l**6)**28\/((l*l**(-1\/3))**(1\/49))**(8\/7) assuming l is positive.\nAnswer: l**(374540\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5352909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)*6\/6. Suppose 3*h + u = p + 6, -h = p - 12. Let v(g) = g**2 - 9*g + 5. Let y be v(p). Do y and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*k - 19, -46*k + 8 = -12*n - 50*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 11 - 5. Suppose -s*b = 2*b - 250. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33521 (base 6) to base 14.\nAnswer: -1a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*l = -7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = r - 5*a, -342*a + 341*a = -5*r. Let n = 7 - 4. Suppose -5*i = -0*i - 15. Solve -n*f + 3*c = 0, 0 = -r*f - c - i*c + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 122. Let m(r) = -27*r**3 + 2*r + 8. Is 17 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-4 + 5 + (sqrt(2448) - (-4 + sqrt(2448) + sqrt(2448) + -2 + sqrt(2448) + sqrt(2448) + sqrt(2448)))**2 + -3 + -2).\nAnswer: -235200 + 3456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-35))\/((-10)\/(-35)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let b be (4 - 3)\/(j + 0). Sort b, -3, 4.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12*s + 2756 = 0. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 6, a: 12}. What is prob of sequence laal?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j**3 + 6*j**2 + 4*j - 26. Let v be l(4). Let h = v - -287. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - -3 - (2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) + -1*sqrt(198) + sqrt(198))*1)\/sqrt(6))\/(1*(sqrt(75) - sqrt(75)*1 - sqrt(3))) + 3.\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 137248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -56.4. Let f = 9.9 - 11.1. Let b = f + w. Round b to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.954 - -0.046. Let k = 0.049 - -0.151. What is the closest to 1 in 2\/11, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*6\/(-28) - -2942*(-1)\/3108 and 47\/126.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*c*f**2*o - 6357155*c*o**2 - 36*c - 7*f**2*o**2 - 5019*f*o + o**2 wrt o?\nAnswer: -12714310*c - 14*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 2\/7, -3\/5, 964?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 19*i**2 + 16*i - 30. Let h be l(-18). Suppose -272 = -h*c - 8. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*(-443 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h = 378 + 296 + 470 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:02 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d + 147 = -63*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1179, -2121, -3071, -4029, -4995, -5969?\n\"Answer: -4*b**2 - 930*b - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -4 - -1) + (-7)\/(-6). Let n = 0.04987 - 1.04987. What is the nearest to n in s, 2\/11, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13652 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t. Let i be u(0). Suppose v - 70 = -5*n, -n + 4*n - 3*v - 60 = i. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {x: 3, s: 1, u: 1, w: 4, l: 3, e: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -29*l**2 - l. Let w(k) = k**2. Let m(o) = -g(o) - 4*w(o). Is m(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 17*h**8\/336 + 23*h**4\/6 - h**3\/3 - 2*h**2 - 141*h. Find the second derivative of o(s) wrt s.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 274, 273, 272, 271, 270, 269?\n\"Answer: -n + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3615 (b) -108 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + 6?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 + 7*y**2 - 2*y. Let v(g) be the second derivative of -3*g**5\/20 + g**4\/3 - g**3\/6 + 2*g. Let o(t) = 4*r(t) - 7*v(t). Factor o(a).\nAnswer: a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17334?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 862.7335 weeks in microseconds?\nAnswer: 521781220800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2 - 12 = -c, 5*c = -v + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/30)\/(33540\/(-19350))\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 40 (c) 8 (d) -130 (e) -0.1 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184551466 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14691576, -58766304, -132224184, -235065216?\nAnswer: -367289400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1148, -3\/5, -7, -10, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55894828 divided by 44?\nAnswer: 1270337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/16 and 43\/474.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1612 divide 22043476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 842308 and 17156484.\nAnswer: 325973196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 10602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 362 - 332. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/550*4*(-10)\/(-8)*1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75480.6907 rounded to the nearest ten?\nAnswer: -75480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 + 4763415*w**4 + 14290275*w**3 + 14290285*w**2 + 4763430*w.\nAnswer: -5*w*(w - 952686)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:40 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - 0) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*i + 1795*i - 897*i - 18 = 0, d - 15 = -2*i - 2*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.318195 to one dp.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -3*p + 7*n + 9, -4*p - 3*n = -7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.01. Let u = 0.45 + f. Which is the closest to -0.2? (a) -0.3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - u + 4 = 0, -7*u - 16 = -90*h + 93*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (100\/36 + 0)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95.77 - 96.77. Is s >= -942\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5352*c - 4319051. Calculate i(-807).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211511, 423018, 634525, 846032?\nAnswer: 1057539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2256 - -881. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 539\/35 - -12 - (1 - (-24)\/(-15)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38410922 - 60.\nAnswer: -38410982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17048 + 16993.949. Let o = 0.61 + 53.39. Let i = d + o. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {b: 2, h: 2, s: 3, v: 1, i: 2, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2389 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -40*g + 48. Let x(v) = 118*v - 45. Let h(s) = -352*s + 136. Let y(b) = g*h(b) + 7*x(b). What is the first derivative of y(a) wrt a?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 94. Let x = 105 - j. Suppose 280 = n + 4*n. What is the greatest common divisor of n and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20\/9 (b) -9 (c) 3 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*j**5 + 24*j**5 + 34*j**5 + (1 + 3 - 2)*(-3*j**5 - j**5 + 5*j**5).\nAnswer: -23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 224. Let y = n - -159. Which is the third biggest value? (a) -0.1 (b) -14 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22595*v**3 + 11536*v**3 + 11083*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 35\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51973 is divided by 553.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -3664.5989045?\nAnswer: -3666.5989045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305, 1297, 1283, 1263?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 31 - 31)*(-v**3 + 0*v**3 - 3*v**3) + 118*v**2 - 118*v**2 + 21*v**4.\nAnswer: 57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/56 + (-7)\/28. Suppose -53*o = -42*o + 157*o - 840. Which is the closest to 2? (a) -5 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 5*j + 24. Suppose -25 = j*f + 239. Let o = -31 - f. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3 - q + 0)*(1 - 2 - 1)*(4*q + 2 - 2).\nAnswer: 32*q**2 - 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - 18.39. Let m = t - 0. Let d = m + 17.97. Is d at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -715, -712, -709, -706, -703?\n\"Answer: 3*u - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1742925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -31126 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnnx when four letters picked without replacement from dxxxdxnddxxxxdndndx.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l, -4*r + 48 = -5*l - 33. Let f = -20 - -29. Let k(b) = 2*b + 21. What is the remainder when k(f) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -23?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 + 1.6. What is the closest to 0.1 in 5, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/2)\/(3\/(-6)). Let s = r + -5. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1844, 3218, 4120, 4550, 4508?\nAnswer: 3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uutt when four letters picked without replacement from {t: 4, l: 2, u: 7, f: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 4*f**2 - 6*f - 9. Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 take away -118472.9?\nAnswer: 118383.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 2. Let l(w) = w - 1. Let x(s) = 5*l(s) - 4*z(s). Let k be x(-9). Let r(y) = y**3 + 7*y**2 + 7*y + 4. What is r(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 - 434*v**2\/9 + 1288*v\/9 - 856\/9.\nAnswer: 2*(v - 214)*(v - 2)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16019 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u - 1. Let b be r(-1). Suppose 3*j - 8 = 7. Suppose -j*f + 9 = -11. Solve f*a = -7 - b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28875*m + 44 = -28871*m + 4*t, -2*t = 5*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011010014 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*w - 27, 4*h = 2*h - 3*w + 8. Let k(x) = 4*x - 3*x + 2*x + x - 6. Is k(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 6. Let s be k(-8). Suppose 96 = -s*m + 5*m. Suppose 4*x + 118 = 5*v, -v + x = 3*x - m. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27210)\/907*4\/(-10)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5084628?\nAnswer: 2, 3, 19, 29, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from {o: 4, g: 2, f: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3, -6*i - 5*k = -2*i - 53. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3. Let j(v) = 3*v**3 + 7. Let l be (-42)\/(-9)*6\/(-4). Calculate l*d(g) + 3*j(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/(3 + -4). Let n(r) = b - 14 - 5*r - 1. Let f be n(-3). Solve -w - 4*g - 12 = f, w + 4 - 13 = 3*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/378 + r**6\/30 + 13*r**5\/90 + r**4\/6 - r**3\/2 - 3*r**2\/2 - 6650*r. Suppose s(m) = 0. Calculate m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 820*v + 5246825. Calculate a(-1917).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 13*o**2 - 2*o - 18. Determine j(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79254.9999915789 + 79255. Round w to 7 dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.9 and -42439179794.\nAnswer: -42439179791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3412.\nAnswer: 6824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -69.23.\nAnswer: 761.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 15*u + 36 = 12*u. Let 1\/7*j**3 + 2\/7*j + 3\/7*j**u + 0 = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53524\/5939 or -10?\nAnswer: -53524\/5939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 295*v**3 + 884*v**2 + 15*v + 44. Calculate q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-252)\/8 - (-2 - 30\/(-12)). Suppose 41 = -c - 4*u, -76 = 2*c + 16*u - 11*u. Is c at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhw when three letters picked without replacement from {s: 12, h: 2, b: 1, w: 4}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3 - 318*u**2 - 1248*u - 1240 = 0.\nAnswer: -155, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {e: 1, t: 7, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 18. Let v = 6 + t. Let r = -2 + 3. Which is the third biggest value? (a) 0 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2347865)\/(-21) + 40\/(-420) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 586 + -564. Solve 0 = s*x - 19*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31784 by 15892.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -4*g + 48. Suppose -5*s + 2 = -4*i - 3, 0 = -3*i. Let m be 279\/5 - s\/(-5). Calculate the greatest common factor of g and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q + 87. Let a be c(10). What is the remainder when 36 is divided by 5*(8\/a)\/((-4)\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719725107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-7)*7\/2. Let u be 11 - (-4)\/(-10)*15. Suppose -4*b = i - u - 5, -5*b = 5*i - 20. Solve 0*c + i*c - d = -2*t, -t - 12 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 9 - 642*f**3 - 602*f**3 + 1274*f**3 - 9.\nAnswer: 30*f**3 - 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 12*v - 5*v - 1)*(4*v - 4*v + 5*v).\nAnswer: 50*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001001001001 + -11?\nAnswer: 110001001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -7. Suppose 0 = -10*d + h*d. Suppose 27 = 2*i + i - 3*v, d = -3*i + 2*v + 26. What is the highest common factor of i and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*x**5 + 13*x**5 - 24*x**5 + (2 + x**4 - 2)*(x - 4*x + 5*x) + 0*x**4 + 0*x**4 + x**5 + 4*x**5 - 10*x**2 + 10*x**2.\nAnswer: 23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1eb7 (base 16) to base 6\nAnswer: 100223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 0*n + 6*n - 6*n to j + b*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.338638479 rounded to two dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + m**2 + 3 - 9 + m**3 to h*m**3 + t*m**2 + n*m + b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12761*i + 4380 = -6472*i - 6362*i for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.284 + 9.684. Which is the third smallest value? (a) 1 (b) l (c) 1\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*b**3 - 122*b**4 + 2*b + 6 + 2*b**2 - 6 - 253*b**3 as s*b + k*b**4 + y*b**3 + x + a*b**2 and give k.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214\/9 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -52173\/97?\nAnswer: -52173\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let n(f) = f**3 + 4*f**2 + f + 4. Let u be n(-4). Let h be (u - j\/(-2))*0. Which is bigger: h or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = 112. What are the prime factors of -114*119\/o*2?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4226 - 194?\nAnswer: -4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*p - 2*c, -4*c = -4*p - p + 11. Let r be (2 + -4)\/((-2)\/5). Let g = 3 + -6. Sort g, r, p.\nAnswer: g, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 3. Let g(h) = 36*h**2 - 28. Let l(w) = -28*b(w) - 3*g(w). Let r(d) = 6*d. Calculate r(l(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + o**2 + 8 - o + 12*o.\nAnswer: o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468261072?\nAnswer: 2, 3, 103, 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 0*s - s - 2*s**2 + s.\nAnswer: -2*s**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-41)\/(-451) - 35\/22)\/9. Which is the third smallest value? (a) -8 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1\/(-3))\/(4\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.01 - -8.34. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, -1\/4, -1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 59*q**2 - 11 + 393*q**2 + ((1 + 1 + 0)*(-4*q + 4*q + q) + 0*q + q - 2*q - 5*q + q + 2*q - 3 + 2*q + 3)*(3*q - q - q).\nAnswer: 453*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -3, -4, -0.08, -0.13, -1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/99 + 40\/22. Suppose 4 + 0 = -y*n. What is the biggest value in 4, n, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/104 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/((-24)\/(-28)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41299658\/5 or 8259931?\nAnswer: 41299658\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -90.12839.\nAnswer: -8.1115551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 363 + -359. Let d be 2\/1*(-7)\/2. Is (-11)\/((14\/j)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 733 - 730. Factor -2 - 4*j - 5\/2*j**2 - 1\/2*j**g.\nAnswer: -(j + 1)*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119822257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1848)\/(-187) + (-1)\/(34\/(-4)). Suppose s + c*s - 99 = 0. Suppose d - 4 + 21 = 5*u, -3*d + 4*u = -4. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.094 to 0 decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2429820*w**4 + 6818010*w wrt w?\nAnswer: 29157840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -142, -217, -292, -367, -442?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 437.7 + 47513026\nAnswer: 47513463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.061 + -4.011. Round f to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 3. Which is the smallest value? (a) 0 (b) h (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 - 6)*(-21 - 14*p + 21) + 3 - 3 + 2*p)*(3*p**2 - p**2 - 5*p**2)*(0*p + 3*p + 0*p) as i*p**2 + w*p**3 + u + t*p + v*p**4 and give v.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100101101 + -10011?\nAnswer: 11100100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 - 24634*f**2 - 77963782*f - 12899964350 = 0?\nAnswer: -6071, -175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -20687, 31, -1 in increasing order.\nAnswer: -20687, -1, 31, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -441*l**4\/4 + 413*l - 630. Differentiate a(n) wrt n.\nAnswer: -1323*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7754*r + 4581*r - 14602*r.\nAnswer: -17775*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -115, -216, -317, -418?\n\"Answer: -101*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-37)\/(o**4\/(o**(-7\/2)*o*o)))**(2\/133) assuming o is positive.\nAnswer: o**(-85\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*b + 8, 0 = -2*t - 0*t - b + 12. Let a(i) = -i - 3. Let c be a(3). Let r = t + c. Is 1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -11, -4\/9.\nAnswer: -11, -4\/9, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y**2 + y + 3. Let a be c(0). Let m(o) = o**2 + a*o + 6 - 3*o + o. Determine m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 127442 - 2*c - 9*c + 2*c - 2*c.\nAnswer: 3*c + 127442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -34*s**2\/5 - 242*s\/5 - 28\/5 = 0.\nAnswer: -7, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s**2 - s. Let k = 8 - 9. Let t be c(k). What are the prime factors of (-3)\/t - 16\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -0.2 (c) 57\/10 (d) 0.2 (e) -433 (f) -5 (g) 0.02\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 667 - 791 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12))\/((-1)\/12). Let r be (6*1)\/(9\/q). Let w = 8 - r. Calculate the smallest common multiple of 22 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**(-3\/25)\/(r**1\/(r*r**(5\/4)\/r*r)) assuming r is positive.\nAnswer: r**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 101\/26861100.\nAnswer: 26861100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = -5*d + 18, c = -d + 7. Suppose x + c*x - 820 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**3 - 7*i. Let x(h) = -3*h**3 - 2*h. Let g(o) = 2*s(o) - 7*x(o). Determine p so that g(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 200 = 268 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16 = -s, -s + p + 14 = 2*s + 13 - 5 - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30790 - 1.06?\nAnswer: -30791.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/76 and -21\/40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3380*p + 550. Let a(x) = -147*x - 24. Let l(u) = 70*a(u) + 3*k(u). Is l(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 - 213.0000117. What is n rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -2.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**2 - 75*x - 9. Let d(t) = -12*t**2 - 112*t - 14. Determine -5*d(m) + 8*k(m).\nAnswer: -4*m**2 - 40*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526736 plus -0.02?\nAnswer: 526735.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2254244, -4508494, -6762758, -9017036, -11271328?\n\"Answer: -7*g**2 - 2254229*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7771347?\nAnswer: 3, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*57\/(-18)*-8. Suppose t - 3*t = -v. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + z + z**2 - 2*z - 2. Let s(n) = -6*n**2 - 11*n + 11. Let p be (-8)\/14*(-14)\/20*-5. Determine p*s(d) - 11*b(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2028 and 312?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 130*l**2 + 134*l - 1480. What is v(-129)?\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from rrcoa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1323 in 0.2, 4\/3, 4, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.84 + 11?\nAnswer: 18.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -1\/3*d**3 + 32\/3 + 4\/3*d**2 + 28\/3*d = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -54. Let n = 97 + h. Does 7 divide (6 - 4 - 2) + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1*(-32)\/6. Suppose 5*s + 37 = -448*l + 450*l, 2*s + 34 = 2*l. Are v and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g + 507643 = -741850 - 385217. List the prime factors of g.\nAnswer: 2, 7, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 5478?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (0 + -2 + -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 748\/(-99))\/((-6)\/(-9)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 389*i**2. Let a(z) be the third derivative of -7*z**4\/12 + 9227*z**2. Give r(a(w)).\nAnswer: 76244*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/((-3)\/(-15)). Suppose -58*y - 44 = 130. Put d, 1, 3, y in descending order.\nAnswer: 3, 1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677018?\nAnswer: 2, 167, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*359407.\nAnswer: -11141617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + 3*x**2\/2 - 12*x + 242. Give k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = -4*p - 9, 4*c - 2*p = -20. What is the tens digit of (-11)\/((-44)\/(-120))*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5080 or -33957?\nAnswer: -33957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(((-6)\/(-2))\/((-846)\/188)). Which is the nearest to -26? (a) 5 (b) 14 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-545*n + 1072*n - 630*n)*(-52 + 12 - 136) to the form d*n + p and give d.\nAnswer: 18128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5*d - 16. Let l(h) = h**2 - 5*h - 17. Let s(i) = 5*g(i) - 4*l(i). Let z be s(7). What is the greatest common divisor of 22 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + v**2 - 3*v**3 + v**2 + 3*v. Let t be r(-1). Suppose -3*f = 4*j + 2*f - 13, 16 = 4*j + t*f. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - 1.6. Let t(x) = -2*x**2 + 2*x - 1. Let a be t(1). What is the nearest to a in l, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (645\/40)\/((-81)\/2). Let j = b - -4\/27. Let i = 30.1 + -30. Sort j, -2\/7, i.\nAnswer: -2\/7, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + 19*a**2 + a + 3. Let u(q) = -2*q**3 - 13*q**2 - q - 2. Let i(x) = 5*h(x) + 7*u(x). Let g be 4 - 4 - 1 - 4. Give i(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -735 + 1436. What is the tens digit of (8 + -9 - n)\/(0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 2, r: 2, c: 8, n: 1, g: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*m + 14. Let x = 6 + m. Let w(r) = -3*r - 4. What are the prime factors of w(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217161281 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: (-9195816)\/(-660723) + (-12)\/(-146)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 7*x**6\/360 - x**5\/120 - x**4\/8 + 3*x**2. Let o(f) be the second derivative of z(f). List the prime factors of o(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182165, -364346, -546531, -728720, -910913, -1093110, -1275311?\nAnswer: -1457516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, c: 2, l: 2, p: 4, t: 7}. What is prob of sequence lt?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 217696*n**3 + 3009477696*n**2 + 1292731095040*n + 141050777190400.\nAnswer: 4*(n + 220)**2*(n + 26992)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -2 (c) -43.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - (-1 + 6 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(4*z**4 - 6*z**4 + 0*z**4) + (-3*z**2 + 4*z**2 + 0*z**2)*(8 - 8 + 4*z**2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26387 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: Sort 2\/3, -1\/4, 1.6, -4 in ascending order.\nAnswer: -4, -1\/4, 2\/3, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/55 and -28\/12895.\nAnswer: 141845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 10*h - 10. Let k = -28 + 19. Let g be q(k). Let r(y) = 14*y - 14*y + 13*y**2 - 1. Give r(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -817*b**2 - 10647*b + 89. Give z(-13).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*w - 75 = -0*o, 0 = -4*o + w + 319. Let m = 91 - o. What is the remainder when 38 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*z + 15*z - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 254)*2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 2*k\/5 - 4\/5.\nAnswer: 2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 24. Suppose 0 = -5*g - u + 5. What is the units digit of -1 - (1 - 72) - g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140527557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (52\/(-14) + -2). Let s(p) = -5 + 3*p + 2 + i. Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*g - 23 = 0, -35*g = -30*g + 40. Sort -4, q, 5, 0 in decreasing order.\nAnswer: 5, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 101. Let f be (16\/44)\/s + 704\/121. Solve -5*x = q - 8, -f = 5*x - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -159\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-8)\/96*-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826375 is divided by 1857?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/6*720\/468.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6817 is divided by 6361?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*i + 12 = 0, 2*i = -2*x - 2*i + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*29\/(-725).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332341 and 13423.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10768 + -4479. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.753 + 1.253. Which is the nearest to -0.3? (a) -3 (b) 25 (c) x (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, -0.1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35496 and 4320?\nAnswer: 2129760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 0.5 (b) -0.05 (c) -0.3 (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26147\/77 + (-8)\/14. Suppose 4*x - x - t = 0. Let h = -65 + x. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 2824\/280)\/(-9 - (-816)\/90)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049495914 rounded to four dps?\nAnswer: 0.0495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2123 (b) 73 (c) 1 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2799*c**2 + 38 - 18*c**3 - 74 + 35 + 2691*c**2 + c to a + m*c + o*c**2 + u*c**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23383, -23927, -24471, -25015, -25559?\n\"Answer: -544*i - 22839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 2*t**4 - 2*t**4)*(t + 2 + 1 + 0*t) + (13*t**2 - 5*t**2 - 10*t**2)*(2*t**3 - 4*t**3 + 3*t**3).\nAnswer: -3*t**5 - 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 3*c**2 + 4*c - 8. Let y(b) = -7 + 2*b**2 + 2*b**3 + 3*b - 8*b**2 + 8*b**2. Let j(t) = 3*i(t) - 4*y(t). What is j(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*s + 320*s - 96 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 81, 4, 1, -6, -16, 5 in decreasing order.\nAnswer: 81, 5, 4, 2, 1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -292527, -292523, -292519?\n\"Answer: 4*i - 292531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c + 0*c + 2*c)*(0*c - c - 2*c) + 3 - 3 + 2*c**2)*(-1 + 1 + 3).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-20112)\/(-28) + (8\/12 - 40\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3027*h**2 - h + 1791 wrt h?\nAnswer: -6054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 46*r - 53 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-7 + 2)*164\/(-820)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -163*2\/2. Is (-1 - 0)*1 + q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2, 20, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 138*d**2 + 6*d + 13. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6528 = -25*l + 268322. What is the greatest common divisor of l and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from rkrkkkbbkr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62220 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188546533013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4254704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5951 divided by -2\nAnswer: 5951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16839 - -16902. Solve 74*g = i*g + 44 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-16)\/((-272)\/85)))\/((-6)\/40)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 20. Suppose y + 5 = c. Let o = y + 7. Calculate the highest common factor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 3 = 0. Suppose -132 = -3*f - t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -98*z - 3720. What is d(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y + 5*k - 3, -y + 1 = 3*k. What is the least common multiple of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 544?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1237, 5, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20861*d**3 + 62079*d wrt d?\nAnswer: -125166*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 2. Let o be (-2)\/j - 93\/(-6). Suppose 0 = 2*g + 5*c - 11, -5*g + 2*c = 3*c - o. Solve 0 = -5*m - 20, i + g*m = -0*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 50*i - 525. Calculate b(-29).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {g: 1, j: 4, q: 2, c: 4, v: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2367*n**3*r**2*y - n**3*r - 225*n**2 - 3282*n*r**2*y + 7*n*r*y + 8016*n*r + 1 wrt r.\nAnswer: -4734*n**3*y - 6564*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29*(-10)\/(-580))\/((-2)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**3 + 5 - h**3 - 4*h**2 - 2*h**3 - 2*h - 9. Determine i(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from qppqmppqlgq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.1. Let x = 0 - -0.05. Let k = -2.95 - x. What is the biggest value in k, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + 2.8. Let y = -4.028 + x. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748+-239865\nAnswer: -240613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.3 (c) -0.7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 808.54.\nAnswer: -3234.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 59754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - -2 - (-48 + 5)*36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/4 + 5 + 5. Let o(z) = z**2 - 1 - 5*z + 2*z + 0*z. Give o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 66 (c) 0.1 (d) -1\/10 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 3*m**2 - m**2)*(-3 + 6 - 2)*(5*m - 2*m - 7*m).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11240 + 10?\nAnswer: -11230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1855 - 0?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 118*t - 1203. Calculate q(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895 = 21*m - 16*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuuu when four letters picked without replacement from uvvuvuv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2461080 and 5906592.\nAnswer: 29532960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t*t**(1\/2))\/(t*(t**1*t)\/t)**(8\/13) assuming t is positive.\nAnswer: t**(87\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 703\nAnswer: -562.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313.4 + 313.9. What is the closest to 0.1 in -0.4, v, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 11*u - 1. Let h(a) = -2*a**2 - 5*a. Let m(x) = -5*h(x) - 3*s(x). Let v be m(7). What is the third biggest value in -0.5, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + z - 2 = 0, z + 16 = 5*y - 3*y. Suppose y*h = 3*h - 18. Let f(q) = -3*q. Does 9 divide f(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2*(-7)\/(-63))\/(3\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 1, -2\/5 in ascending order.\nAnswer: -2\/5, -0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*t**4*v**2 + t**4*v - 4*t*v**2 - 37*t wrt t?\nAnswer: 3180*t**2*v**2 + 12*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64386934*p**2*z**2 + p*z**2 - 2*p*z - 36336*p - 4*z wrt p?\nAnswer: 128773868*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.5, 0.02, -4, 34, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 14. Let c be x(-7). Let b = 8 + -5. Suppose c = t - 3*s - 58, -t - b*s = 8 - 90. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2412 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 + 3*d - 9. Let i be b(7). Is 54\/i*4\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwgdllxlvlx. What is prob of picking 1 d, 2 x, and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.21 - -0.31. Let n = 0.2 - -0.8. Let o = n + k. Which is the biggest value? (a) -2 (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395 times 7\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 170\/(-70))\/(3 + -2). Which is the second biggest value? (a) -6\/11 (b) -83 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0.11, -0.1, 18 in descending order.\nAnswer: 18, 2, 0.11, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = -2*n. Solve -y + n*y - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.28*-311.\nAnswer: -398.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10*10\/(-525))\/((-2)\/(-3)). What is the closest to -5 in s, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*b + 988, -5*s - 2*b = b - 1203. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -1976297.\nAnswer: -248\/1976297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5754 divided by 104698.\nAnswer: -2877\/52349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*u = 20, 5*t - 2*u = u - 15. Let w = -2.42 + 2.2. Let x = 0.12 + w. Which is the closest to 0? (a) t (b) x (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/((-540)\/(-6)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -94*a. Let d(c) = 29*c**2. What is d(t(s))?\nAnswer: 256244*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8406530 is divided by 1684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1564, -2803, -4032, -5245, -6436, -7599?\n\"Answer: d**3 - d**2 - 1243*d - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2388*m**5 - m**3 - 36*m**2 + 1143188*m + 1 wrt m.\nAnswer: -47760*m**3 - 6*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 - 299*q - 40. Let j(m) = 10*m**2 - 299*m - 32. Give -5*j(d) + 4*l(d).\nAnswer: -6*d**2 + 299*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1833 and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9*q - 10*q + 20372 = 0, 2*q = 4*a - 40752. What are the prime factors of a?\nAnswer: 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.57798589 + -11.578. Round t to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296829?\nAnswer: 3, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158, -1899, -5226, -10139, -16638, -24723, -34394?\n\"Answer: -793*d**2 + 638*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -112?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 + 144. Let i = 193 - z. Calculate the greatest common divisor of 138 and i.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 15*u - 50. Let i be v(-6). Solve -6 = -i*o - x, -11*o + 2*x - 6 = -13*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 518145*s - 16585760 = 0.\nAnswer: -32, 103661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/12)\/(6\/8)*605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-18) + (-8)\/6 - 1\/(156\/(-462))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**3\/6 - 2*z. Let l be v(-3). What is the units digit of 26\/l + 8\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 3*t. Let c be y(2). Let r be (-5 + -1)\/(-1*c). Let k(q) = q**2 - q - 3. Calculate k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 42636952355?\nAnswer: 42636952354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3168)\/(-2772))\/(-1*(-4)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006503 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.143.\nAnswer: -3.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1)**2 - (-5 + sqrt(68))**2.\nAnswer: 12*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/65 + -11\/260. Let y(c) be the first derivative of -c + 1\/3*c**3 - t*c**2 + 1\/8*c**4 - 7. Factor y(k).\nAnswer: (k - 1)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2175 in descending order.\nAnswer: 1, -3, -2175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/3 (c) 0.1 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132169633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f, -4*c - 5*f = -7*c + 2. Let z(h) = -4*h. Let t(b) be the first derivative of -5*b**2\/2 - 34. Determine c*z(k) - 3*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -462 or 0.07?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = 20, 5*v + 3*m + 111 = m - 0*m + 79 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g = 83*g + 5. Suppose -2*r = 5*p - 21 - g, -r + 4*p = 15. Are r and -1\/179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2494*m + 2497*m + 2500*m - 7488*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1513\/550 or 4?\nAnswer: 1513\/550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 180. Let c be g(-36). Solve 7*z = z + c for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*j - 47. Let t = 40 + j. Calculate the remainder when 22 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8942.269753 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 41*i + 41. Is u(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 4*p**2 + 4*p - 3. Let u be f(-5). Let t = 276 - 258. Suppose 17*m = t*m - 5. Solve -u*l = -n + 10, -l - m = -6*l - 5*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -15.553?\nAnswer: 12.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.034 - 0.956. Let h = i + 1. Let u = 181963.95 - 181964. What is the second biggest value in h, u, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*i + 3 - 6*i - 3 in the form s*i + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*b = 62 - 1042, -3*q + 4*b + 1462 = 0. Let a = 487 - q. What is the closest to -2\/7 in a, -4, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(6\/(-3 - 0)). Suppose f*r = r - 15. Suppose -2*y = y - r. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than 489\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s - 4. Suppose -5*r = 4*w + 11, -r - 5*w = -3 + 1. Let j be n(r). Solve 4*m = f + j, -m + f = -0*f - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - -12 - 23 - (1 + -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(48) + -1 - ((sqrt(363) + 0)**2 + sqrt(363) + -2)).\nAnswer: 7*sqrt(3) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + (-1378)\/(-8) + -9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -952 divided by -4\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 195829127 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l + 13. Let t be n(7). Let a(j) = 53*j + 13. Is a(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 22 = 5*h - 14, -h = -r - 9. What is the common denominator of 187\/12 + 4\/h and -41\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 26*v - 1639 = 102*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307001 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -27*s**2 + 12*s + 12. Let b(h) = 2*h**2 - h - 1. Let y(w) = -12*b(w) - u(w). Let m(t) = -8*t. Calculate y(m(a)).\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 223*l + 1355. What are the prime factors of n(16)?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33267 and 1452659?\nAnswer: 4357977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1173*k**2 + 1827438*k + 149568.\nAnswer: -3*(k - 1558)*(391*k + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2773*v - 1. Let q(n) = 842*n. Calculate q(f(t)).\nAnswer: -2334866*t - 842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012022021 - -1000022001?\nAnswer: 10012121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1202, 2273, 3306, 4301, 5258, 6177?\n\"Answer: -19*d**2 + 1128*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3533 - 15585 = -46*x. What is the remainder when 262 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 581, 594, 609, 626, 645, 666, 689?\n\"Answer: x**2 + 10*x + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 1, -3, -2\/5, -89 in ascending order.\nAnswer: -89, -3, -2\/5, 1, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -637\/4 - -160. Let t(p) = -p**2 - 4. Let n be t(3). Put n, x, -4 in descending order.\nAnswer: x, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -65 (b) -20 (c) -601\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -6*(1*(0 + sqrt(17)))**2 - -4*(sqrt(153) + sqrt(153) + sqrt(153)*-1)*3)*6.\nAnswer: -3492 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 5*z**3 + 2*z**3 + (136*z**2 - 270*z**2 + 89*z**2)*(6*z - 2*z - 2*z) to d*z**3 + o*z + m + l*z**2 and give d.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(187)*-1)\/sqrt(11) - 3*sqrt(68)\/sqrt(4)) + 2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**6\/27 + 2*q**5\/5 + 7*q**4\/6 + 38*q**3\/27 + 2*q**2\/3 - 32. Factor m(t).\nAnswer: 2*t*(t + 1)**3*(t + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/(-44) - (-4 + 15 - 5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqywwqyyty. Give prob of picking 2 q and 1 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 765\/868 - 3\/124. Let n be (-11406)\/154 + (-6)\/21. Let z = -544\/7 - n. Calculate the common denominator of k and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 297*s**2 - s + 1. List the prime factors of i(-1).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0 + 0*c**3 + 4\/3*c**4 - 1\/3*c**5 + 0*c**2.\nAnswer: -c**4*(c - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/20 - n**4\/2 - n**3 - n**2 + 65*n. Let d be 1\/(((-2)\/(-14))\/1). Determine k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - 0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 24 = -y - 10, k = y - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -219, -288, -331?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62442 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121202 (base 8) to base 14.\nAnswer: 7c9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) - (3*sqrt(32) + 1).\nAnswer: -8*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 38740*s - 75039380 = 0?\nAnswer: 3874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -44*o**3 + 4*o**4 - 1640 - 1170*o**2 - 18*o**4 + 5*o**4 - 2420*o - 131*o**3 + 14*o**4 = 0.\nAnswer: -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -15 - 3. Let i = -76 + 81. Suppose -18 = -11*v + i*v. Solve y + n + n = s, 4*y = 5*n - v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/452548 and -31\/9503508.\nAnswer: 9503508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-2 + -23)) + -2 + 28 + 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 7, 21, 39, 61, 87, 117?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**3*s**2*u - 17*o**3*s**2 + 3*o**3*u + o**3 + 22*o**2*s + 3*o**2*u - 105*s**2*u - s*u + 4*u wrt s.\nAnswer: 10*o**3*u - 34*o**3 - 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-3*(-3)\/9. Let x be 0 + 3\/d + 2. Suppose x*m - m - 6 = 0. Calculate the lowest common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13945, 13932, 13919, 13906?\n\"Answer: -13*i + 13958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(4\/40 + (-6)\/10). Let t = 142 - 62. Suppose c - w - 19 = i, -c = 3*c - 2*w - t. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 13*h - 19. Let l be c(-11). Let q(p) = p - 1. Let o be q(5). Put o, l, -4 in descending order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17968, 18006, 18068, 18154, 18264?\nAnswer: 18398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(95\/50 + -2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42346.94 decades?\nAnswer: 423469.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {d: 2, i: 3, v: 6, x: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/20 - 163*b**2. Let r(c) = -33*c + 1. What is x(r(j))?\nAnswer: -3267*j**2 + 198*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 3*h + 0*h + 2 + 1 + 2*h - 1 + 1 + h - 1 + (-3 - 1 + 2)*(-2 + 2 - 2*h))*(3*h + 0*h + 0*h).\nAnswer: 48*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27380 (base 9) to base 14.\nAnswer: 6a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/(-28)*(-55)\/15 and 19\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 + 2*l**3 + l**3 + 0*l**2 + 0*l**2 - l**3 - l - 6*l**3 + l + (-5*l + l + 3*l)*(-l**2 + 0*l + 0*l) - 2*l**3 - 3*l**2 + 3*l**2.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 56. Suppose -12 = -3*n - w. Solve -5*l + 5*v = -30, n*v + 6 = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n = -20. Let h(f) = -f**2 + 11*f + 45. Let r be h(14). Suppose -15*o + 42 = -r. Sort o, n, 6 in decreasing order.\nAnswer: 6, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 49*j**2 + j - 36. Calculate c(49).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 43.5. Let k = 1.94 - -0.06. Let x(g) = -2*g + 1. Let w be x(2). Which is the second biggest value? (a) o (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 1\/4, 0, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116.64 + -105.64. Let f = 0.12 + -5.12. Which is the biggest value? (a) -4 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + 19*h**2. Let t(g) = -5*g + 1. Let w(p) = 5*p. Let s(c) = -3*t(c) - 2*w(c). What is s(b(x))?\nAnswer: 5*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 15*l**2 + 5*l - 31. Give g(15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6858 or 6863?\nAnswer: 6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1.5 (c) -2\/7 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(66)\/(sqrt(18)\/sqrt(3)*-3)*2 + ((sqrt(891) + (sqrt(891)*-2)**2)*5 + sqrt(891) + sqrt(891) - (1 + sqrt(891) + sqrt(891) + 0)) + -3.\nAnswer: 145*sqrt(11)\/3 + 17816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 27, 57, 109, 189, 303, 457, 657?\n\"Answer: a**3 + 2*a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1 - ((3 - 1) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 20420?\nAnswer: 20422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/2 - 17*t**4\/4 + 25*t**3\/4 + 35*t**2\/4 - 27*t\/4 - 9\/2 = 0.\nAnswer: -1, -1\/2, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36495372 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -29. Solve 3*z + 12 = -b*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let h = 7 - 3. Let s = 8 - h. What is the second smallest value in 2\/5, k, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*c - 464 = 0, -26 - 138 = -k + 3*c. What is the remainder when k is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.5022 litres to millilitres.\nAnswer: 901502.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:47 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19682, 78508, 176490, 313628?\n\"Answer: 19578*h**2 + 92*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3))**(-43))**22)**(1\/6) assuming h is positive.\nAnswer: h**473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137409378 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 2, x: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -387, -1240, -2885, -5586?\n\"Answer: -44*x**3 - 17*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -782, 0.08, -2\/45, 0.2.\nAnswer: -782, -2\/45, 0.08, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let q be t(-3). Let p = q - 0. Is p + (-2)\/(4\/(-14)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.50076? (a) 1.6 (b) -2\/23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*(v**(-1\/2)\/v)\/v*v*v*v*v)**7*v**(-1)*v**(-5\/2)\/v*((v**(1\/3))**(3\/16))**9 assuming v is positive.\nAnswer: v**(441\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/556 and -57\/16?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*b**2 - 515*b**2 - 8 - 346*b**2 + 29 + 28 wrt b?\nAnswer: -1410*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910*y**4 + 859*y**3 - 1056*y**2 - 685*y - 28 = 0. What is y?\nAnswer: -7\/5, -1\/2, -4\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 92*z**2 + 39*z + 251. Let d be u(-31). Let y(a) be the third derivative of 4*a**2 + 1\/6*a**d + 0 + 1\/12*a**4 + 0*a. Give y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 137, 249, 427, 683, 1029, 1477?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3417*n = 5005*n + 201676 for n.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001011 (base 2) in base 11?\nAnswer: -1921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2185 - 15320\/7. Calculate the common denominator of g and -17\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 6569.\nAnswer: 1970.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**8\/56 + 2*w**4\/3 + 5*w + 5. Let y(m) be the first derivative of g(m). What is the third derivative of y(d) wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15.5. Suppose 0*d = -2*y + d + 12, -5*d = y + 5. Which is the nearest to 2? (a) 0 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -97*z**2. Let s(o) be the first derivative of -11*o**3\/3 + 2*o - 4583. Give s(q(r)).\nAnswer: -103499*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.3 + -3.3. Let w = 0.7 + -1.7. Let o = 420 + -421. Which is the closest to w? (a) -2\/11 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 65. Let s = 44 + -128\/3. Solve -s*j**3 + t + 4\/3*j + 2\/3*j**4 - 2\/3*j**2 = 0 for j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m\/m**0)\/m)*m\/m**(-3\/7)*m**(-1\/9)*m*(m\/m**(-2\/9))\/m assuming m is positive.\nAnswer: m**(286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 324117 and 72026?\nAnswer: 648234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*b + 23, -5*l - 56 = -3*b + 7. Calculate the lowest common multiple of 20 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 - 2*d**2 - 7*d + 15. What is the remainder when b(-3) is divided by 78?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(-114)*(-1 + (-14)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 38*f**2 - 15*f - 7. Let m be q(9). Suppose 5*w = 4*i - m, 4*i + i + w - 3699 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3163276.6 to the nearest ten thousand.\nAnswer: 3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 518951651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {w: 2, r: 2, y: 2, n: 4, d: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 2)*(-4 + 1). Suppose s = -3*n + 19, 4*n + 3 - 37 = a*s. Suppose -3*j = -j. Solve j = -d + 3 - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 965 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:13 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1903.\nAnswer: -1\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 2642230 + 0*a**2 - 2642507 as w + o*a**2 + u*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -400872 + -27698. What is q rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6952477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -38. Let t = x - -34. Solve -2*o + 14 = t*q + q, 0 = 4*q - 3*o - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478423 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: Suppose -3*k + 11 = -19. Let q be (-4 + 2)*30\/(-4). Let y = q - k. Solve -20 = 5*f, m - 3*m + y*f = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 2146*m\/9 + 476.\nAnswer: 2*(m + 2)*(m + 1071)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7562 and 34\/1393.\nAnswer: 52934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217835 - -1?\nAnswer: 217836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 17*k - 21. Let h be q(7). Suppose h = -14*d + 15*d - 3. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q - 4. Let o = 6 + 14. Is 22 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i*i\/((i**(-8)*i)\/i))\/i)*i)\/i*i*i*i**25*i assuming i is positive.\nAnswer: i**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177826 and 2263514.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -29*t - 97. What is i(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 2}. What is prob of sequence jyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.9, 0.115, -3?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -175*p + 5. Let g(k) = -874*k + 24. Let z(f) = -3*g(f) + 16*u(f). Let i be z(-4). Calculate the common denominator of 21\/2 and ((-6)\/i)\/(2\/548).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -585\/4*x**2 - 3\/8*x**4 + 29\/2*x**3 + 91 - 675\/2*x. Suppose q(t) = 0. Calculate t.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335046693.9 rounded to the nearest ten thousand?\nAnswer: 335050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79006916.\nAnswer: 2, 563, 35083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9910864.51999977 + 9910866. Let s = k - 1.48. What is s rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/25)*m)\/m*m\/m**(-3) assuming m is positive.\nAnswer: m**(124\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66707279*x - 8655493 wrt x.\nAnswer: -66707279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*b. Suppose -o + b = -0*o. Suppose 0 = y + o*y. Solve y + 1 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + o + 0 + 14 = 0, 10 = -3*x + 4*o. Let w(g) = -9*g + 13. Let a(s) = -4*s + 6. Let h = -28 - -41. Calculate h*a(t) + x*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**7\/840 + y**6\/480 + y**5\/240 - y**4\/96 - 6*y**2. Determine i, given that m(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*y + 48, 72*r - 28 = 74*r + y - 3*y for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 320589478 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -0.4?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 4512*z**2 + 31838*z + 353028.\nAnswer: -2*(z - 13)*(z + 6)*(z + 2263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/338*4\/(-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2)*l*l**(-1\/6)*l**4\/l*(l\/(l**0*l))\/l)**45 assuming l is positive.\nAnswer: l**(165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3 + 270*g**2 + 9984*g + 57344 = 0.\nAnswer: -64, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 18\/97463?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17853*z. Let a(r) = 41*r - 7. Give a(m(t)).\nAnswer: -731973*t - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (-27710)\/(-7335)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 40, 51, 44, 13, -48, -145, -284?\n\"Answer: -j**3 + 30*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) - (-10 - 0). Let q be j\/12 + 68\/6. Suppose q = o - 30. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5713, 9931, 14147, 18361?\nAnswer: 22573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5034 and 14.\nAnswer: 35238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/4 - 2*r**3 - 6*r**2. Is y(5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000514539 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + 2*z**2 + 4 + 8 + 5*z**2 - 24*z - 3 as m*z + h + l*z**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*(3 + -1). Suppose -q = -w*q + 1. Let g(h) = -1 + q + 2*h. Let z(o) = -3*o. What is z(g(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6.6. Let t be 2\/6 - ((-82)\/(-66) + -1). Which is the nearest to -0.1? (a) n (b) 2\/15 (c) t (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14420021?\nAnswer: 7, 11, 187273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23, -0.1, 2, 4.36396?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (49\/(-132))\/(7*(-15)\/(-210)) - -1 and -65\/146.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(22\/7))**1 assuming z is positive.\nAnswer: z**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19085166?\nAnswer: 2, 3, 353429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3607*f = 2538*f - 510035 for f.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 19. Let n be c(-17). Suppose -n*w = -17*w. Which is smaller: w or 4\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*a + 575 = 1532. Solve 3*x - a*x - 40 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20513, -20622, -20719, -20798, -20853?\n\"Answer: b**3 - 116*b - 20398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -183 (b) 0.2 (c) -0.06 (d) 1.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d + 15406?\nAnswer: 15378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/3, -3, 0.09, 7292?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56047*d**3 + 168148*d**3 - 56125*d**3 - 56093*d**3 + 2*d**2.\nAnswer: -117*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -52. Calculate the lowest common multiple of 2 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1477? (a) 22\/7 (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6183546 centuries to years.\nAnswer: 61.83546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1 - (-6 + 10) - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-1)\/2*-17. Let j = 17 + a. Suppose -6*r + 67 + 53 = j. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42771 >= -41865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321579911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20932 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/3 (b) -903\/4 (c) 3 (d) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 2303.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2202 - -2223. What is the smallest common multiple of 33 and h?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1113, -1669, -2225, -2781?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:47 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1330 and 190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*r**3 + r + 0*r + 392*r**3 + 3*r**2 - 194*r**3 as u + c*r**2 + k*r + z*r**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 24768*a + 123740.\nAnswer: 4*(a + 5)*(a + 6187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 7. Suppose 18 = 4*h + 46. Let b = h + 1. Let c be v(b). Calculate the highest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -117*g**7 - 2*g**3\/3 - 218*g + 658. What is the third derivative of p(a) wrt a?\nAnswer: -98280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -8)\/(2\/26). Suppose 4*s - o - 15 = -106, -s = -5*o + 18. Let i = t + s. Solve 0 = 3*v - i*b + 3, -3*v - 5*b + 17 = -3*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 3*b - 4*b + (0 - 2 + 3)*(-5 + 5 + 8*b) + 8 - 26*b + 55*b - 34*b to the form c*b + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*((-4)\/2)\/(16\/184) is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1301*g**2 + 17*g + 3713*g**2 - 11*g + 2492*g**2 - 8*g to the form v*g + f*g**2 + y and give f.\nAnswer: 4904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68530435591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/12897 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95.65 - 2298.\nAnswer: -2393.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 18*t**2 + 27*t - 20. Calculate the smallest common multiple of s(-16) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0, -2\/7, 1\/3, -1.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + (-1 - 5 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - 0.04. Let k = u + -0.186. Let y = k + -2.044. What is y rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 21389431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(5\/3))**(-33)\/((o\/o**16)\/o)**(-49) assuming o is positive.\nAnswer: o**(-872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 788395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(45) - (2*sqrt(13)*4 - sqrt(13)).\nAnswer: -20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532526 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.026 and 2.9?\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27972)\/(-12))\/(-37))\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*q - 121*q - 736 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 338090000 rounded to the nearest 1000000?\nAnswer: 338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (3 + -2 + -9). Let a be 48\/(-40)*(-10)\/3. Calculate the highest common divisor of a and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*t + 6*t. Let z = -3 - -7. Put z, t, -1 in increasing order.\nAnswer: t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -14. Let z be (8 + -12)*(-90)\/q. Let k = -181\/4 - z. Which is the smallest value? (a) 4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52339 + 0.0142.\nAnswer: 52339.0142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuu when four letters picked without replacement from {q: 12, u: 3, z: 1}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -759064 - 0.07\nAnswer: -759064.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + (sqrt(76) - (sqrt(76) + 2*sqrt(76) + sqrt(76))*-4) - sqrt(76) - sqrt(76)) + sqrt(76))\/(sqrt(48)\/(-2*sqrt(12))).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*n + 5*h + 139, h = -2*n - 67. Find the common denominator of 83\/10 and (2 - n\/(-20))\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440654 is divided by 188.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6586323 + 1401323. Round g to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 6, -5, -45, -902 in ascending order.\nAnswer: -902, -45, -11, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x**(2\/5)*((x**(-15)*x)\/x)\/x*x**(-2\/33))**(-16\/3) assuming x is positive.\nAnswer: x**(38704\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 2. Let b(r) = 395*r + 169. Let q(s) = -b(s) - k(s). List the prime factors of q(-3).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -911 + 916. Let r be (1*3\/(-27))\/(t\/10). Which is the nearest to r? (a) -1\/3 (b) -6 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314001874?\nAnswer: 2, 157000937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10101100010?\nAnswer: -10101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5155254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20304 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: Expand (0 + 0 - 2*b)*(2 + 2 - 2)*(0 - 1 + 2)*(34 - 30 + 16).\nAnswer: -80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*-2*(0 + 1). Suppose z = 5*r + 2*z - 5, 5*r = -2*z. What is the third derivative of 2*p**2 + 9*p**m + 2*p**r - 2 + 2 wrt p?\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -94, -8, -2, -4.\nAnswer: -94, -8, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4520000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 67*z + 143. Calculate the remainder when k(6) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1238949 - 751349. What is s rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmsmmjmjsmssmsm. Give prob of picking 2 s and 2 j.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let z be 2\/3*6 + -1. Solve 5*t - 2 = z*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-20)*4\/6. Let m = -7 - -11. Suppose 3*h - 11 = 7*h - 5*t, -2*h = m*t + 12. Put u, 4, h in ascending order.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17687548 by 7.\nAnswer: -17687548\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 99*j**2 + 267*j - 1993. Determine u(-96).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 406587 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.57553 - -11.3752. Let n = -8 + 7.2. Let o = n + g. What is o rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 415, 397, 371, 337, 295?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 2*g**4 - 2*g**2 - g.\nAnswer: g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = -0. Let d(j) = -j**3 - 6*j**2 + 7*j + 6. Determine d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 165*t**3 - 890*t**2 - 12600*t.\nAnswer: 5*t*(t - 10)*(t + 7)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44108)\/10)\/(70\/(-175)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000118173824 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 3. Let r(f) = 108*f + 8. Calculate -3*o(v) + r(v).\nAnswer: 111*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1128, -7655, -18532, -33759?\n\"Answer: -2175*b**2 - 2*b + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 2193. Let f(x) = -777*x. Determine f(r(v)).\nAnswer: -1554*v**2 + 1703961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*k**4 - 3301*k**3 - 119*k + 23245?\nAnswer: -432*k**2 - 19806*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -9. Calculate the remainder when 18 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**3\/6 - m**2\/4 - 9. Let a(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -3\/2 (c) 2\/7 (d) -16 (e) 3\/2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*z**2 - 2 - z**2 + z**2 + 6*z - z**4 + z**3 in the form h + v*z + r*z**3 + b*z**4 + t*z**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35354, 141407, 318158, 565607, 883754, 1272599?\nAnswer: 1732142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -4 - -2)*-1. Let l be 29 + 1 - (-2 - 0). Let d = l - m. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwwa when four letters picked without replacement from mhmmmttrhtmmrrwwam?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12603 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4abc (base 13) to base 4\nAnswer: 2212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -443.\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttetttett?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293.643 - 294. Round w to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21210780?\nAnswer: 2, 3, 5, 337, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a + 10*a + 15*a + 657315*a**3.\nAnswer: 657315*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 42, 60, 94, 150, 234?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -76*i**2 - i - 13. Let t(m) = -77*m**2 - m - 14. Let u(w) = 3*t(w) - 4*x(w). Find the second derivative of u(q) wrt q.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-8019)*6*-3\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135131 is divided by 1751?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - 112*c**2 - 173*c - 457. Give x(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 9*b = 14, 25 = -5*s + 5*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n - 276*n - 192*n + 165*n - 3440 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 13*i**2 - 2. Let g(q) = -2*q**3 - 12*q**2 + 3. What is 2*g(y) + 3*o(y)?\nAnswer: 2*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2198d3 (base 14) to base 6.\nAnswer: -40240053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.359 - 3.859. Sort 1, -1, -19, v, -0.4 in descending order.\nAnswer: 1, v, -0.4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16671710 is divided by 56900?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999434298?\nAnswer: 2, 23, 43465963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -4 (c) 2 (d) -0.0213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 5*g - 90 = 0. Solve -4*y - y = -3*q + g, 4*y = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098 = -11*d + 1142 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(196)\/sqrt(4))\/(sqrt(343) + 2*sqrt(343)) + ((3 + sqrt(112))**2 - (sqrt(42)\/sqrt(6) + 1)).\nAnswer: 484*sqrt(7)\/21 + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*o**2*w**2 + 98*o**2*w + o*w**2 + 17109*w**2 + 1 wrt o?\nAnswer: -260*w**2 + 196*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 14. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 15. Let g = -3518\/7 + 503. Which is the third smallest value? (a) -2 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110 (base 2) in base 14?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9298.\nAnswer: 2, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59.5251 and -0.3.\nAnswer: 59.2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 5. Let b be h(-5). What is the tens digit of (b + -9)*12\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64496 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, 3*p + 0*p - 111 = -3*n. Suppose 38*q = p*q + 10. Calculate the greatest common factor of q and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 - 153*o**4 + 398*o**2 - 136*o + 14110?\nAnswer: 20*o**3 - 1836*o**2 + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*179*(1 - 2). Let k = l - 9. List the prime factors of k.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b - 466 + 44 = 328. What is the remainder when 1349 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16612 (base 9) to base 7.\nAnswer: 45221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 13) to base 9\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-32))\/(-16)*(-48)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63301800 + -14615800. Round u to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2\/11, -1\/5, -0.095?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*g, -2072715*g = 2*u - 2072714*g + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) + -7 + 3 + 72. Suppose -68*n + 898 = -b*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -3084, 2\/3, 2\/5, -21.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 168*j**2 - 656*j + 1398. What is k(-164)?\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5126634 is divided by 260?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*n**2 - 94*n**2 + 42*n**2.\nAnswer: -257*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 699202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/3)\/a*a)\/a*a**23*a*(a*(a\/a**13*a)\/a*a)\/(a\/(a\/a**19*a*a*a)))**(-4\/29) assuming a is positive.\nAnswer: a**(56\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 26 + 25*u**2 - 51)*(8 - 7 - 21) as z*u**2 + i*u + d and give z.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*g + 606*g - 7280 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/6, 0, 2\/29, -0.4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 848. Let l = -2262 - -2266. Suppose -l*g = -2*q - p, -3*q - 4*g - 388 = q. What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(36\/(-51840)*45)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 221*i**2 + 11*i - 54. Calculate the remainder when j(3) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*b = 186, -513 = 4*a - a + 3*b. What is the least common multiple of a\/(-14) - 8\/14 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7 - 2. Let q be (1*(-2)\/(-2))\/((-3)\/(-6)). Suppose -3*i = -q*o - 4, i - 5*i + 4 = -4*o. Solve -x + 1 = v, -2*v - o - 1 = k*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 (base 6) in base 3?\nAnswer: 112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*m - 218*m + 294 + 26 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 186480, 372963, 559446?\n\"Answer: 186483*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 62. Which is the nearest to 2\/7? (a) t (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*j**3 + 19*j**2 - 3*j.\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = y - 10, 0*h + 4*y = 5*h + 10. Let p be h*(3\/(-6) - 2). Solve 9*b = 4*b - p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9217, -5319, -1421, 2477, 6375, 10273?\nAnswer: 14171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/146302 and -19\/585208?\nAnswer: 585208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*s + 2 = 0, -35*s + 30*s + 10 = 5*l. Factor 0 + 0*d - 24\/11*d**3 - 2\/11*d**5 + 12\/11*d**l + 16\/11*d**2.\nAnswer: -2*d**2*(d - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(2057) - ((sqrt(2057) + 0)**2 + sqrt(2057))) + sqrt(2057).\nAnswer: -2064 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mggvhemmmhemgom. What is prob of picking 1 v and 2 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.12823 to 1 dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 + 12*w**2 - 3*w**2 - 9*w**2.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9690.746 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -140*s. Let u(o) = 14*o. Determine -5*t(g) - 49*u(g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from {x: 1, j: 5, z: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:18 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a kilometer in meters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 490*f**2 + 15*f - 12. Is g(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -3 (b) 2 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019423351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19239 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3414646ms to nanoseconds.\nAnswer: 341464.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 6*i + 145. Which is greater: -27 or i?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-48))\/((-9)\/(-243))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(2*b**2 - 2*b**2 + b**2) - 3*b - 2*b**2 + 3*b - 3*b**2 + 5*b**2 - 4*b**2 + (-1 + b + 1)*(1 - b - 1) + 9 - b**2 - 9.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*h*o - 81*h + o wrt o.\nAnswer: -10*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -35 + (26 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1912845 or 1912844?\nAnswer: 1912845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882660 divided by 220665.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46209.\nAnswer: 3, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 907 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:02 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n + 3*n = 0. Suppose -5*x + 3*x + 782 = n. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {z: 5, f: 5, u: 7, a: 2}.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -29*l**2 + 3. Let f(n) = -2*n**2. What is f(t(v))?\nAnswer: -1682*v**4 + 348*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13*(-2)\/12 - 2. Let g = 1.6 + 1.3. Let x = g - -1.1. Which is the third biggest value? (a) u (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 1639 = -4*a - 1629, 3*a - 5*l = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11400, -0.1, -1, 2, 2\/7 in ascending order.\nAnswer: -1, -0.1, 1\/11400, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26181424, 52362849, 78544274, 104725699, 130907124, 157088549?\n\"Answer: 26181425*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104031 less than 4?\nAnswer: -104027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.56, 2\/5, 0.5 in decreasing order.\nAnswer: 0.56, 0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2766, -2753, -2740, -2733, -2738, -2761, -2808?\n\"Answer: -q**3 + 6*q**2 + 2*q - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11808994?\nAnswer: 2, 19, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.0256489 and -0.18.\nAnswer: 0.184616802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -169 + 529. Suppose 0 = 3*l + 4*u - 136 + h, -38 = -l + u. 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 cube root of 81384 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155813062?\nAnswer: 2, 577906531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 28. Let k(b) = 5*b - 1. What are the prime factors of k(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3338 - -1954. What is the least common multiple of 12 and (8\/6)\/(168\/r)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -20, -25, -30, -35, -40?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33014780 and 3070.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 969*n**2 + n - 811. Let p(k) = -k. Give y(p(l)).\nAnswer: 969*l**2 - l - 811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 703?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 229276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 8 = 0. Let x = 18 + 23. Let t = n + x. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {m: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 16*t**3\/3 + 139. Let s(x) = 13*x. Determine s(z(u)).\nAnswer: 208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - -1029. List the prime factors of ((-5)\/(5\/s))\/((-39)\/26).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 34*x - 112 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -591441384*s + 191330482?\nAnswer: -591441384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, 7, 0.4, 3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-16)\/x)\/x*x**(2\/7))\/(x**(-8)\/(x**(-13)*x)) assuming x is positive.\nAnswer: x**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + s**3 + 2 + 2*s + s**4 + s**2 - 1 - s. Let t(m) = 2*m**3 + 4*m**2 - 6*m + 3. Let w(o) = 3*t(o) - 3*u(o). Factor w(q).\nAnswer: -3*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + o = -30. Suppose -4*x + 5*c = -11, 0*x + 25 = 5*x + 5*c. Solve -b + 1 = n, -n + 3*b = x*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-189))\/4)\/(2\/18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 21*w + 12, 3*m + 3*w + 18 = 0. Solve -2\/5*c + 2\/5*c**3 + m*c**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Suppose -3*v + t*v = 0. Let s be (-1)\/6 - (-155)\/30. Sort s, 3, v.\nAnswer: v, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -23, -9, 21, 73?\n\"Answer: f**3 - f**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/(-15) + (-1531)\/(-6). Let y = k + -269. Let z = -3344 - -20017\/6. Calculate the common denominator of z and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {y: 1, a: 4, w: 3, u: 4, c: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 454*k**2 + 4*k + 31. Let r be j(-4). Let i = 2380235\/327 - r. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-21)\/(-28))*-19387 + 6\/8. Is t at least as big as 14541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57081, -114168, -171259, -228354, -285453?\nAnswer: -342556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -25. Find the second derivative of -r**2 + r**2 - r - 5*r**x - 10*r wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114 - 5*a**2 - 4*a**3 - 114 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 + 1855*t - 7464. What is x(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from laalalggageaglagl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10543 + 4102?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose 414 = 4*v - 2*j - 40, v - 3*j - 101 = 0. Suppose 4*b + 112 = -5*y - v, 3*b + 144 = h*y. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24473129 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 (b) 2\/13 (c) -13\/1492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*y = 45*y - 332 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 185, -102008, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*k + 180, -121*w + 0*k - 7260 = -k + 4*k for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) 2 (c) 0.0229 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:43 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q + 19. Let y be f(-8). What is the derivative of 0*l + 5*l - l + y + 6*l wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/60 - ((-4655)\/(-420) + -11).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*g + 8*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5 + (sqrt(68) - (-5 + (sqrt(68) + -1 - sqrt(68)))) + -6*(1 + sqrt(68) + sqrt(68)))**2 + 5)*-1.\nAnswer: -8259 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 60 = -44*t - 70 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + sqrt(19)*1 + -4 + (sqrt(304))**2 + ((-1 + sqrt(684))**2 - (-1 + sqrt(2299))**2).\nAnswer: -1310 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24130 less than -6.7?\nAnswer: 24123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 51 (c) 4 (d) 0.18 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeiehiiyei. Give prob of picking 1 h and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 12221120100112010?\nAnswer: 12221120100112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 - 7*d**2*v**2 - 81*d**2 + 2*d*v - 8*v**2 + 2 wrt d.\nAnswer: 6*d - 14*v**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 4*r, -2*w + 5*r = 15. Suppose w*u - 60 - 15 = 0. Is 1192\/10 + (-3)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a2 - -72?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 1468, 5039, 12008, 23509, 40676, 64643, 96544?\nAnswer: 137513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + 0)) + (-193 - -193)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/63 and ((404\/(-7))\/4)\/(-13 + 1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21 - 34 + z + 12. Let t(i) = -5. Determine t(q) - 5*x(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/691 and -13\/106.\nAnswer: 73246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*r**2*u**3 + 2*r**2*u**2 - 1045*r**2 + 8*r*u**3 + 12756*r + 7*u**3 wrt r.\nAnswer: -274*u**3 + 4*u**2 - 2090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. What is the units digit of r\/((-2)\/4)*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(85)\/sqrt(5) - (-1 + sqrt(17) + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 16) to base 5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*sqrt(99)*-1*4)\/((sqrt(27)*-2*4)\/((sqrt(300) - (sqrt(300) - (sqrt(300) - -2*sqrt(300)))) + sqrt(300) + sqrt(300) + sqrt(300)))*-6)**2.\nAnswer: 35640000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 5*d. Determine j(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 96193.62 months?\nAnswer: 8016.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 474\/(-43292)*((2\/(-2))\/6)\/((-10)\/(-40))?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 2*n**2 - 11*n. Let j be s(-4). Sort -0.4, -1\/3, j in ascending order.\nAnswer: j, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 252.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101101100000110110001 (base 2) to base 3.\nAnswer: 222111001021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -398, -417, -444?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-1)*a)\/a)\/a)**22*(a**(-1\/2))**(14\/13))**(-27))**(1\/9) assuming a is positive.\nAnswer: a**(1737\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 9}. Give prob of sequence omoo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 150\/857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 - 56 = 0. Which is smaller: k or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -1\/3 (c) 21 (d) -247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/15 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33042 - 33051. Let j be 1*(1*-7 - -2). Which is the closest to 2\/9? (a) -0.2 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 901402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.3 (c) -3\/4 (d) 90469 (e) 1\/7 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 4457848*c - 4457844 = 0. Calculate c.\nAnswer: -1114461, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*((-3)\/(-2))\/((-279)\/(-2480)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7*x + 239, 5*h + 4*x + 674 = 1791. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*1*3\/(-6). Let a = 2995 + -2983. Let -13*f - 7*f + f - a - 4*f**2 + d*f = 0. What is f?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 16. Let t be d(12). Suppose 0 = -w + t, 4*p + 3*w = 5 + 7. Solve -4*r + 5 = 5*s, p = s + s + 2*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1 + sqrt(108)) - sqrt(108) - 2*(-1 + sqrt(108)))**2 + (5*(sqrt(108) - (0 + sqrt(108) + 0 + sqrt(108))))**2)*-1.\nAnswer: -7996 - 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 48. Let w be (24\/v)\/(2\/(-10)). Suppose -4*c + 50 = w. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + (sqrt(1900) + 1)*3)*-5)**2.\nAnswer: -2100*sqrt(19) + 427549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*x + 264 - 305, 0 = z + x - 3. What is the biggest value in 318\/11, z, 5, -1\/2, 0.4?\nAnswer: 318\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 56 = 0, 3*j - 21 = 25096*f - 25097*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 >= 859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -6*f**3 + 0*f**6 + 0*f + 0*f**4 - 55\/7*f**7 + 108 + 0*f**5 + 0*f**2. Find the third derivative of i(n) wrt n.\nAnswer: -6600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127197, 254394, 381597, 508812, 636045, 763302, 890589?\n\"Answer: c**3 - 3*c**2 + 127199*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8069237\/2520 + 263\/504. Let m = 3213 - c. Calculate the common denominator of (48\/270)\/(1\/(-12)) - -5 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 6*s. Let x(q) = -3*q. Let h be x(s). Solve h*i + 4 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 l when four letters picked without replacement from lljllljl.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 + 46 = -3*s + 5*n, 250 = 2*s + 5*n. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -19502.\nAnswer: -19502, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 63. Let l(k) = -k**2 - 9*k + 2. Let s be l(p). List the prime factors of (15\/s)\/(5 - (-141)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 47*d**2 - 6650*d + 3375. What is k(141)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 4*s + (2 - 4 + 1)*(2*s - 7*s + 4*s) - 3*s + 0*s + 5*s)*(6*s - 11*s + 0*s)*(0 - 5 + 3 + (-2 + 1 + 4)*(-2 - 1 + 1)).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -5*k - r, 2*k - 6*k + 452 = 4*r. Let v be 531\/k*(1 - 2\/6). Solve -v*t = 2 - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5002*v**3 - 5111*v wrt v.\nAnswer: 30012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b**2 - 6*b**2 - 1 + 3 + (-b + b - 2*b)*(154*b - 165586 + 165586) to n*b**2 + a*b + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let x(w) = 7*w - 5. Let q(s) = -x(s) + 2*z(s). Let f be q(1). Let r(a) = -2*a - 15. Calculate r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 8) to base 14\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**4\/4 + 1101*p**3\/2 + 912*p**2 + 363*p\/2 - 729\/4 = 0. Calculate p.\nAnswer: -243, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - -5 - 1) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 4*p - 307. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0109, -1.06, -0.5 in decreasing order.\nAnswer: 0.0109, -0.5, -1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 35*f**2 - f + 54. Determine v(35).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324624139 to the power of 1\/3, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5*t + 1\/2*t**2 + 21. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/5*-1*(-15)\/36*271280\/50865\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555 + 7367 = 3*d - 5*n, -5*d - 3*n + 9664 = 0. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 12*i**2 + 4*i + 33. Give c(11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {r: 1, w: 1, t: 1, y: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w + 122. Let i(d) = -17*d - 184. What is -5*i(k) - 7*m(k)?\nAnswer: k + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1812\/27 - 2\/(-9). Let p = f - 68. Let g = 1 - 2. Which is the nearest to g? (a) -0.5 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4, 3*o + 5*z - 61 = 0. Suppose -q = -5*c + 94, 4*c - 48 - o = q. Let v = c - 8. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - (-22)\/99. Suppose d + 94 = -4*a + 3*d, -3*a + 5*d - 81 = y. Let h = 38 + a. Solve -2*n + h = -4*n - 5*f, f + 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.10179 rounded to 1 dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724869359.\nAnswer: 724869359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144290 is divided by 1699?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + b**3 + b**2 - 10*b + 3*b**2 + 1. Let r be 3\/(-8) - -69*(-5)\/40. What are the prime factors of a(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/464 + 10843\/(-280) - -39\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = -1. Is (2 + -4)*57\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240222330 (base 5) to base 15\nAnswer: -16b5e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1560915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**2 - 131*l**2 - 165*l**2.\nAnswer: -329*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:34 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.098 + -17.2. What is the second smallest value in -2\/3, r, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11508 = -8*a. Suppose -3*q - 4*q + a = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2200*o**2 - 5869*o + 30. Let l(p) = -15402*p**2 + 41082*p - 216. Let b(y) = -5*l(y) - 36*u(y). Find the second derivative of b(r) wrt r.\nAnswer: -4380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172861*-1\nAnswer: 172861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/18)\/((-1)\/(-132)). Suppose -3*p + 7*p + t = 0. Let h = 19 - p. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 13) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = 39. Suppose -5*r + w = -37. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/(8\/(-20)). Let a be 14\/z - (-1 - -5). Suppose 2*y - x + a*x - 932 = 0, 1401 = 3*y + 2*x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 7543005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 129c4 (base 13) in base 4?\nAnswer: 20131030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1000022122220 (base 3) to base 2\nAnswer: 10000011010010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 508 = 1934. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 + -0.33. Let a = -30 - -29.7. What is the nearest to a in -1, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37404*c**3*v**2 - 1351*c**2 - 7*v**2 wrt c.\nAnswer: -224424*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/32 + 230\/(-8). Let q be z\/(-12) - 1\/3. Suppose 5*j + 2*o = -q*o + 192, -2*j + 81 = 3*o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-4773)\/10878) + 15?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10637*c + 10646*c - 18 = 0. Let y be (-6)\/(-21) + 9\/(-7). Let l be 1\/3*(y + -2). Sort c, 4, 0, l in increasing order.\nAnswer: l, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 - 59*k**4\/3 - 334*k**3 - 1890*k**2 + 729*k + 25515.\nAnswer: -(k - 3)*(k + 9)**3*(k + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24525\/14 + -1759. Find the common denominator of -47\/370 and u.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 555 - 17498?\nAnswer: -16c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 5*n**2 + 2*n + 7. Is 6 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 + 55912*p + 111808 = 0.\nAnswer: -13976, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/38 + 41\/114. Which is the second biggest value? (a) g (b) -3\/20 (c) -3\/2 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xxxxxxdcxxxxxxx.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20, 17*b - 20*b + 10 = 5*i. Calculate the smallest common multiple of b and 2634.\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827532 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/159 and 61\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 3*z + 1. Let x(h) = -2*h**2 - 7*h + 1. Let f(o) = 4*o**2 + 15*o - 2. Let m(p) = 6*f(p) + 13*x(p). Let l(d) = 3*k(d) - 5*m(d). What is l(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -17.018. Let x = 0.053 - y. What is x rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:32 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -3.2. Let l = d - -1.6. Let h = 0.76 - l. Does h = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3 - 3*o**2\/2 + 2*o + 9. Let d be r(1). Solve 4*v = d*y + y, 5*y = -4*v - 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/24 - 15*a**3\/2 - 3*a**2 - 40*a - 8. Calculate k(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 3827 + 2580 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + 4*l. Let y be r(3). Let n be -2 - (1 + y - 2). Let v = n + -7. Solve -v*b - 32 = 4*z - 3*b, -2*z + 3*b - 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29968? (a) 4 (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5104*m - 727*m - 157*m - 4283*m + 1087*m to the form t*m + s and give t.\nAnswer: -9184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 459004, 918044, 1377120, 1836232, 2295380, 2754564, 3213784?\n\"Answer: 18*h**2 + 458986*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 106156680 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(h**4 + 5*h**4 - 5*h**4) - 4*h**4 - 2*h**4 + 4*h**4 + (-4*h**2 - h**4 + 4*h**2)*(1 + 1 - 1) + h**4 + h**4 - 4*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 - (25766\/(-78) - 4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15335 - 2?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -6*x**5\/5 + 3*x + 5. Find the first derivative of q(m) wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*f**2*p**2 - f**2 + 12107*p**4 + 8*p**3 + 3214928*p wrt p?\nAnswer: 92*f**2 + 145284*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 - 7*n**4\/24 - 11*n**3\/6 - n**2. Let t = 1829 - 1818. What is the units digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 + 440*b\/3 + 9680\/3.\nAnswer: 5*(b + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 + 8*t - 16. Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 4*h - 20195*h**3 + 7081*h**3 + 3*h.\nAnswer: -13114*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + 3121*a - 213773. What is h(439)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 21560\/7529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 2, u: 1, w: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14143888 take away 5?\nAnswer: -14143893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-92))\/((-2016)\/(-64) + -31)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 5*p**2 + 8*p + 13. Let h be i(-3). Let j(x) = -5*x + 9. Let w(t) = 2*t - 3. Let q(m) = 3*j(m) + 8*w(m). Calculate q(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*d + 20, 0 = 5*w + 380*d - 379*d - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnmmmnbnnn. What is prob of sequence mnmn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2351*m**2 + 263*m + 2353*m**2 - 249*m + 26. Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(-4)\/(-6)*1. Let d be 26\/x - (-1 + 4). Factor 0*r**3 + 1\/4*r**2 + 0 + 0*r - d*r**4.\nAnswer: -r**2*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:33 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**(-1\/52)\/((r\/(r*r\/(r\/(r\/(r*r**(5\/3))))))\/r**(-12\/5)) assuming r is positive.\nAnswer: r**(-778\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + 4)*(9399 - -1 - 0). Suppose -15*o = -o + f. Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2176 = 40*b - 6*b. Suppose 29*n - 52 = 25*n. What is the remainder when b is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1147 + 8091. Is 31 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1467 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2 + h**2 + 7 - 3*h**2 + 3*h**2 wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333 - -331. Let y be 8\/(-8) + (1339 - q) - 5. What is y rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15967165 and 0.3?\nAnswer: -4790149.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(10\/(-75) - 2\/(-6)). Solve 2 = -3*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -603 + 593. What is the third biggest value in -0.05, k, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - -35. Suppose 4*r - 204 + v = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -339, -330?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/7 + 15936*l\/7 + 31744512\/7 = 0.\nAnswer: -3984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*t + 72. What is the remainder when 3 is divided by (3\/t)\/(6\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1235166?\nAnswer: 1235166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1425\/3420)\/((-20)\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s - 3. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.020008, 0.2, -2\/3, -3, -0.3 in ascending order.\nAnswer: -3, -2\/3, -0.3, -0.020008, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 194659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-19)\/(i\/((i\/(i*i**(-26\/5)*i))\/i)))\/(i**22*i**24))**(2\/37) assuming i is positive.\nAnswer: i**(-628\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i + 5*i**2 + 32*i - 3*i**2 + 2*i**3 - 15*i in the form h*i**2 + s*i**3 + c*i + j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) 2\/11 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 191*f + 3659 = 387 - 2884 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 7*o**3 - 2*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.42. Let u = a + -0.11. What is u rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + 186. Let w = -2 + 6. Put n, w, -0.4 in decreasing order.\nAnswer: w, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9533.098 centimeters to meters.\nAnswer: 95.33098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 + 2*q + 1. Let b be v(-1). Let i be 2\/b - (-2 - -2). Suppose -i*n = 8, 3*j + 2*j - 13 = -3*n. Put -2, j, 2 in ascending order.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = 2*g, -2*g - 16 = -3*g - 2*w. Solve 2*n = g*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (19 - 0) - -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*a + 8*a - 236 = 0, 0 = 2*c + 2*a - 92. Calculate the greatest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-762.\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 149\/2)\/10 - (6 - 13).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3111 and 233119.\nAnswer: 230008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 - -14.8. Let j = 37 - 74. Let o = j - -36. Which is the biggest value? (a) o (b) t (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 5*z - 2. Let k be c(-4). Let v(l) = -9*l + 3*l - 1 + 0*l + l - l**2. Determine v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3080 + 3738. What are the prime factors of n?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - (-3 - 170\/(-10)). Let q = 1621 + -27567\/17. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115082 minus 0.4?\nAnswer: 1115081.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 = -9*p - 344. Let u(i) = 3*i**2 - 11*i - 6. What is the remainder when u(8) is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-3 - i + 3) + 3273*i - 8960*i + 3046*i - 8256*i.\nAnswer: -10898*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24015 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 8 = -2*f. Suppose -77*p + 110*p = 0. Solve f = -p*c - c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 1297592*r\/11 - 707784.\nAnswer: 2*(r - 6)*(r + 648802)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 16*h + 814. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9525930 - -14007028. Let j = c - 8621098. What is j rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/60 + 7*h**4\/24 - h**3\/3 - 26609*h**2. Let i be (6\/15 - 0)*-15. What is y(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - x**2 - 2*x**2 - 3*x**2 + 8*x**2 + 11*x**2 + (1 - 1 + 2)*(2 - 2 + 2*x**2))*(99 - 6*x**2 - 99).\nAnswer: -114*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -20, -3*w + 128 = -5*j - 114. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and 97\/214569156.\nAnswer: 214569156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2. Let d(c) = -4*c**2 + c - 31. What is d(r) + 5*h(r)?\nAnswer: r**2 + r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - z - 2. Let n(a) = 9*a**2 - 86*a + 413. Let m(p) = n(p) + 4*q(p). Suppose m(f) = 0. What is f?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/((-9)\/(-45)) + 14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2 - 2)*(27 + 131 - 31)*(-2 - 3 + 4)*(3 - 4 - 1) to x*h + j and give x.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37610914 divided by -2.\nAnswer: 18805457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(204)\/(sqrt(12) + sqrt(48) + sqrt(12)))**2 + sqrt(17) + 0 + sqrt(2057) + -3 + (1*sqrt(153))\/sqrt(9).\nAnswer: 377\/16 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3716388 by 103233.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/j**4)\/j)**(-39)\/((j\/(j**5*j))\/j*j\/(j*j**(-9))) assuming j is positive.\nAnswer: j**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44551414 (base 7) to base 12\nAnswer: -13626ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 45*g**2\/2 + 483*g\/2 - 529\/2.\nAnswer: (g - 1)*(g + 23)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*p**3 - 16*b*p**2 - 12*p**3 wrt p?\nAnswer: -36*b - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-1960)*((-434)\/279)\/(4\/(-6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 19*u\/3 + 14.\nAnswer: -(u - 21)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1649, -2, 233 in decreasing order.\nAnswer: 1649, 233, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, 0, -28, -9 in ascending order.\nAnswer: -339, -28, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 1)*(16 + 0 - 4)*(0 + 1 - 4).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395.6 - -339. Let p = -58 - x. Put 8, 5, -0.4, p in descending order.\nAnswer: 8, 5, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*-7.6\nAnswer: -433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45187612 is divided by 5963?\nAnswer: 5961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 1. Let i(z) = z**2 - 22*z + 27. Let p(c) = i(c) + 5*q(c). What is p(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 3\/10094?\nAnswer: 3\/10094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - 9*2\/23. Suppose -o = 2*o - 10*o. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69940435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yvm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1808306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**3 - 41*h - 2. Let l(t) = 14*t**3 + 41*t + 3. Let f(a) = 3*g(a) + 2*l(a). Find the second derivative of f(w) wrt w.\nAnswer: -84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4564?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.031 from -7312.1.\nAnswer: -7312.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Suppose 0 = -2*b - b - h. Sort 5, 4, b in increasing order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 3390?\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 14 - (8 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-42))\/((-2)\/(-7)). Let j(c) = c**2 + 2*c. Let a(o) = o**2 + 4*o - 1. Let t(u) = q*j(u) - a(u). Suppose 4 = -3*n + n. Determine t(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = -2*s + 3*s, 0 = 5*s + 5*b - 20. Let y = s - -3. Let o be (2 - 0) + 1 + -1. Calculate the highest common factor of y and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/(-6)) - (-22 + 29)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4263*t**2 - 211*t**3 - 4263*t**2 + (-2*t**2 + 0*t**2 + 4*t**2)*(0*t + 10*t - t).\nAnswer: -193*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5*f + f)*(-2*f**2 + 3*f**2 + f**2) - f**3 - 3*f**2 + 3*f**2 + (26 - 10 - 12)*(-2*f**3 + 0*f + 0*f) + 4*f + f**3 - 1 - 4*f.\nAnswer: -6*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*x + 5*n, x - 4*n = n + 37. Let w be ((-3 - 0) + (-11)\/(-4))*(3 + -3). Let l = x + w. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 959\/35 - 4071\/(-885)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:51 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -1407, -2106, -2815, -3540, -4287, -5062, -5871?\nAnswer: -6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 2*c**5 - 3*c**5 + (2 - c**2 - 2)*(-2*c**3 - 2*c**3 + 3*c**3) + (0*c**5 - 2*c**5 + 0*c**5)*(4 - 2 - 1) - 113*c + c**4 + 113*c - 4*c**5.\nAnswer: -8*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**3 + 5*l**2 + l - 5. Let s(g) = g + 1. Let u(r) = -b(r) - 5*s(r). Let q(o) = 8*o**3 - 6*o**2 - 7*o. What is 6*q(x) - 7*u(x)?\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732457203 to the nearest integer?\nAnswer: 27064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 17590.\nAnswer: 17590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 14. Let g = z + -6. Let y(w) = 2*w + 33. Let i be y(-10). Solve -3*r - 2 = -14, a - i = -g*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**5\/15 + 37*a**3\/9 - 12*a + 1816. Solve m(y) = 0 for y.\nAnswer: -6, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((38\/12 - 4) + 1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53835486?\nAnswer: 2, 3, 2347, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 312530168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -78*(-16)\/(-8004) - (-660)\/9570?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35825 at most as big as 35826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7cd (base 14) in base 8?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {i: 2, s: 2, h: 1, q: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 - 182 = 904*b - 918*b. Solve -o = -5*a - b, -4*o + 3*a = 15 - 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1354289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 301, 299, 297, 295, 293, 291?\n\"Answer: -2*i + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 32 - 8 = 0. Suppose 18 + 2 = 2*h + 2*m, -4*h = 3*m - 36. Suppose 0 = -5*p + h + 14. Calculate the least common multiple of p and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.9365, 7, -2\/7.\nAnswer: -2, -2\/7, 2.9365, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:48 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 436789671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 226 in increasing order.\nAnswer: -1, 3, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 97*p - 467. Does 24 divide a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2. Let r(z) = 132*z + 193*z - 4213 - 326*z. Calculate s(r(a)).\nAnswer: -3*a**2 - 25278*a - 53248107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 96*c - 207*c + 111*c - 9 + 2*c**2.\nAnswer: 2*c**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a factor of 6856164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)*(0 + 9). Let v(a) = -a**3 - 38*a**2 + 369*a + 48. Let d be v(-46). Solve k = d*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 12*a**2 - 10*a - 4. Let i = 29 - 18. Let g be b(i). Let x(j) = 2*j**2 - 4*j - 7. Is x(g) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 11. Let z(t) = -1. Let r(u) = x(u) + 6*z(u). List the prime factors of r(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-26)*u**(-25))\/(u**(2\/35))**(2\/19) assuming u is positive.\nAnswer: u**(-33919\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1156, 4\/5, -0.13, -2?\nAnswer: -1156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 25*d + 9. Suppose 0 = -2*k - 5*b + 1, 3*k + 46 = 30*b - 28*b. Give o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/12 + u**3\/2 - u**2\/2 + 2*u + 9. Let c(t) be the first derivative of z(t). What is the units digit of c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1076 and 88\/2255565.\nAnswer: 9022260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 24. Let g be b(12). Solve -3*l + 9 = -g*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c - 3. What is the remainder when a(-2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(36)*3 - sqrt(52)\/(2*sqrt(16)))**2*-3.\nAnswer: -351\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27166 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 7. Let z be u(-1). Which is the fourth smallest value? (a) -0.5 (b) -2\/9 (c) -0.053 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**8\/6720 + p**7\/1680 - p**6\/288 - p**5\/80 + 5*p**3 + 6*p**2 + 2. Let a(s) be the first derivative of u(s). Factor a(h).\nAnswer: h*(h - 2)*(h + 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 14. Calculate g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 489110 at most as big as 489104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h**2 + h - 8. What are the prime factors of l(-3)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*y - 26, 0 = 3*d + 4*y + 23 - 9. Suppose 88 = -d*k + 6*k. Suppose 3*i - k = 8. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {x: 6, j: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -47157477 in decreasing order.\nAnswer: -4, -5, -47157477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95349411041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572731739?\nAnswer: 572731739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 1237 + 563 = -73*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -2\/1307 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26068?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvvn when four letters picked without replacement from {n: 6, l: 4, v: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:47 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33498 + 33498.000052746. What is h rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(50) + sqrt(800)*-5 + sqrt(50))\/(1*sqrt(10)*-4).\nAnswer: 4 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 6. Let c be t(-2). Suppose b + 9 = c*q - 0, -5*q + 4*b + 15 = 0. Let j(g) = 3*g + 5. What is the units digit of j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, -383, -2113, -4869, -8651?\nAnswer: -13459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177784247 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 10*n + 11. Let j be t(9). Let c be 12 - -1 - -1 - j. Let s(m) = -m**2 - 5*m - 2. Let u be s(-2). Solve u*l = l - c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llllllllccllllcl.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 321*k**4 + 3447*k**3 - 35841*k**2 - 80724*k - 41760 = 0 for k.\nAnswer: -15, -1, 8, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29588161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -161285355 divided by -55?\nAnswer: 2932461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -28.9. Let k = 1.5 + v. Which is the second smallest value? (a) -2 (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25447500 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -98.3, 4\/3, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 + 5*n**4 - 3*n**4 + (-2*n**2 + 6*n**2 - 3*n**2)*(6*n**2 + 4*n**2 + 2*n**2))*(-1 + 4 - 2).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5 - 2 + 3 + 0 + 3 - 1 - 1 + (-3 + 2 + 2)*(2 - 2 + 1))*(3*f - 5*f - 6*f)*(2 + 0 - 1)*(3 + 2*f - 3 - 3).\nAnswer: -80*f**2 + 120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t\/(t\/t**(-16))))\/(t**7)**(-5\/2) assuming t is positive.\nAnswer: t**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*q + 12 = 0, q - 10 = -8*m + 4*m. Let x be (4 + (m - 2))*(2 - 0). Suppose -204 = 5*t - x*t. Calculate the remainder when t is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 + 3*m + 10. Let a be g(5). Suppose 48*t - 51*t + 2721 = a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let t(d) = -2*d**2 + 6*d. Let p(v) = 6*g(v) - t(v). Let x(m) = -4*m**2. Calculate p(x(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l**2 + l - 1. Let d be h(2). Suppose -d - 2 = -k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.391055268 rounded to four decimal places?\nAnswer: -0.3911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q. Let r(x) be the third derivative of -x**5\/15 - x**4\/8 + 47*x**2. Determine -2*r(l) + 6*y(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1114? (a) 0.4 (b) 5 (c) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1 - (-5)\/3). Suppose 0*s = -m - 3*s + 17, 5*m + 5*s - 35 = 0. Solve m*b = u*o - 2, 3*b - 11 + 0 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172252152 and 51566?\nAnswer: 3272790888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 1\/6*y**4 + 1\/20*y**5 + 0 - 1\/3*y**3 + 137*y + 0*y**2. Calculate l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9459*d - 22779*d - 3925*d.\nAnswer: -36163*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.07 (c) 1071490 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 13.48.\nAnswer: -4.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 + 2. Let c(b) = 11*b**2 - 5*b - 24. Let o(q) = -2*q**2 + q + 4. Let n(a) = c(a) + 6*o(a). Calculate 4*n(m) - w(m).\nAnswer: 2*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 165222448 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 14*o - 7. Calculate the least common multiple of 6 and n(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1744 - 1744 + 232*k**2)*(k + k**2 - k) as x*k**3 + d*k**4 + j*k**2 + s*k + l and give d.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5 - 0. 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 nearest to -18? (a) 4 (b) 0 (c) 58 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w - 40. Let z = -6 - w. Factor 30*f**2 - 2 + 5*f - 112*f**3 - 4*f**2 + 4*f - z*f**2.\nAnswer: -(4*f - 1)**2*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16228 is divided by 3243?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + (sqrt(144) + sqrt(144)*-2 - sqrt(144)))*-1)\/(sqrt(192)\/sqrt(6)))**2 - (-3*3*sqrt(242)*-1*-6)**2.\nAnswer: -1411335\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027974 divided by -155998?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 1. Let t = 4 - 4. Let j be m(t). Is 13 a factor of j - (-1)\/((-4)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v + 16*v - 9*v + 45*v**3 - 29*v - 4*v.\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/((-9)\/54*-74)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.135 - -1.1713. What is t rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 0.3 (c) 72 (d) 1.6 (e) 3 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2811 + 2844. Calculate the smallest common multiple of i and 17685.\nAnswer: 194535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 28 + 13. Suppose 0 = c*t - 83 - 347. Let n = t - -155. Is n a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 58*v**2 + 2. Let g(k) = k. What is -4*g(y) - z(y)?\nAnswer: -58*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:59 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + w = -0*w - 20, 4*w - 16 = -4*x. Suppose -x*c + 479 = 5*a - 1885, -c = -4*a + 1908. Calculate the lowest common multiple of 10 and a.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2990*k + 1089*k + 4 - 4.\nAnswer: -1901*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 47. Let c be k(14). Suppose -7*z + 9 = -c. Find the third derivative of -39*m**6 + 15*m**z - 5*m**2 + 30*m**2 wrt m.\nAnswer: -2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161659373 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -334, -336, -338, -340, -342, -344?\n\"Answer: -2*q - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 6, -4*r + 1 = -4*n + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -9. Let t = -97.6 - -97.55. Let x = -7 - -12. Sort b, t, x, 0.2 in decreasing order.\nAnswer: x, b, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (-4 + -5 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -634\/11, 2\/11, 0.2, 2\/365 in decreasing order.\nAnswer: 0.2, 2\/11, 2\/365, -634\/11, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111 + 212?\nAnswer: -12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488851622 to the power of 1\/3, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93677.\nAnswer: 113, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/14 - (-46)\/161)*1. Sort c, -10, -2, 6\/5 in descending order.\nAnswer: 6\/5, c, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75782.95 seconds to microseconds.\nAnswer: 75782950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136.96 - 137. Let v = -0.36 + -0.1. Let x = v + n. What is the closest to 0.3 in -1, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.23775ug to nanograms.\nAnswer: 9237.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 4168596*x**2 + 1086139148556*x + 33666307703644 = 0. What is x?\nAnswer: -521059, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -151. Calculate the greatest common factor of 88 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493?\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414027 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 2867\/8?\nAnswer: 2867\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 7*b**2 - 5*b + 5. Let s be g(-6). Let z(m) = m**3 + 8*m**2 + 8*m + 19. What is the smallest common multiple of s\/2 - (-6)\/4 and z(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -46. Suppose -3*m = 5*r - 667, 3*r = -t*m + 2*m - 413. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -17. Which is greater: -1\/22 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + 5*o + 3. Let c = 0 + 5. Let r be i(c). Suppose 2*a = r*a - 24. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 194*d**2 - 4. What is z(-1)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -474\/41 less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -1\/7, -19?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 1499510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66504135 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by (91\/(-39))\/(25\/45)*-5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1368\/14 + 4\/14. Let t = -35 + o. Let q be (2\/4)\/((-1)\/(-84)). Calculate the highest common divisor of q and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 3, -0.2, 0.3 in descending order.\nAnswer: 3, 0.3, 0.25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2976 and 6528?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 3*b - 3. Suppose -107*n + 102*n = 1075. Let j = 209 + n. Calculate w(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255920.\nAnswer: 2, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-33) + (-42)\/9. Let n(p) be the first derivative of -p**3 + 9*p + 11. Let m(a) = a**2 - 2. What is v*n(q) - 18*m(q)?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 2. Let f be 8\/(-6)*(-3)\/2. Let i be r(f). Suppose 5*s = -i*s + 30. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, -117, -433, -1037, -2025, -3493, -5537?\n\"Answer: -16*p**3 - 12*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/81)\/(945\/1215) - (-23)\/(-840)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 2. Calculate the greatest common divisor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 321?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + 3*(sqrt(972) - (-2 + sqrt(972))) - ((sqrt(972)*-3 + sqrt(972) - sqrt(972))*-2 - sqrt(972))*-5) + 2)**2.\nAnswer: 148500*sqrt(3) + 15188589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 3 - -4 - -5. Suppose j*a = -a. Solve a = u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05663 - -0.00663. Sort -2, -151\/5, l.\nAnswer: -151\/5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose -2*k + z*k - 5 = 0. Suppose -2*v + 18 = 4*m, -3*m - 8 - 24 = -k*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/211370?\nAnswer: 1\/211370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 9*p - 52. Let g be b(-6). Let r(j) = j**2 + 2*j - 6. Let x be r(g). Solve 4*c - x*c = -2*o + 2, 5*c + 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1955 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let n be (-4 + 0)*(1 - i). Suppose 0 = -4*j - w + 107, 2*j - n*j = 3*w - 61. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -28. Let f = -47 - a. Suppose -n = -s - f*n + 63, 4*s - n = 225. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2796401 at most -2796407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15045 in -16, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of ((-8536)\/16)\/(5\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*u - 898, f - 686 = 2*u + u. Suppose -856*a + 2512*a = 185472. Calculate the remainder when a is divided by u\/(-6) - (-2)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91943604 and 11592?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 34*u - 275. Let m be r(-7). Let h(f) = 15 + 26 - 3*f + f. What is the remainder when 66 is divided by h(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 83, 141, 199, 257?\n\"Answer: 58*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1180.1 + 1180.2. Is -1525 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 26*p**2 - 3*p + 3*p.\nAnswer: -26*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (4 - 6) + 4 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 14) to base 8\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, j: 3, c: 2}. Give prob of sequence jjfc.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1369839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**2 - 32 + 32 - 3*x**2 + 13*x**2 + 30*x**2 + 2 + (0*x + 3*x - x)*(-3*x + 0*x + 2*x).\nAnswer: 48*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -13. Let r be (o\/9)\/(3\/(-27)) + -9. Does 24 divide ((-8)\/r)\/(12\/252)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73118.983 - -8?\nAnswer: 73126.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1414943*g**2 + 12*g - 128184373 wrt g?\nAnswer: 2829886*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 263 and 654?\nAnswer: 172002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 1, c: 2, l: 8, s: 2}. What is prob of picking 2 l and 1 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 61195224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -432*t + 435*t + 3*o, 0 = -t - 5*o + 1. Solve 20 - 52 = t*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (740\/1 - -2). Let i = l - 211. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 142. Let q(z) be the second derivative of -2*z**3\/3 + 2*z - 297. What is h(q(d))?\nAnswer: 16*d**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13858 is divided by 3461?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325319, 1301248, 2927787, 5204936, 8132695, 11711064, 15940043?\nAnswer: 20819632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 (base 9) in base 2?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**2 - 3*k**2 + k + 9*k**2 - 9*k**4 + k - 1 - k**3 as m + y*k + u*k**4 + v*k**3 + b*k**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -30?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 15005.\nAnswer: -3\/15005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.3, 3, 15, 0.23.\nAnswer: -2\/3, 0.23, 0.3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3311088.\nAnswer: 2, 3, 11, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/(-110))\/(-5)*-4. Which is the third biggest value? (a) 0.11 (b) v (c) -3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752019311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 2*d**4 - 5 + 4 + d**2 + 3*d**4 + 27*d + 3*d**2 to the form m*d**2 + l*d**4 + t*d + n*d**3 + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -24. Let c be (-26)\/(-104) + -2*(-1)\/u. Solve c*q**5 - 1\/5*q**3 + 0 - 1\/5*q**2 + 1\/5*q**4 + 0*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/17 + 120*a**4\/17 + 1574*a**3\/17 + 4920*a**2\/17 + 4472*a\/17 = 0. Calculate a.\nAnswer: -43, -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 y, and 1 l when four letters picked without replacement from {l: 1, k: 1, y: 11, t: 4, m: 2}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/((b**(-7\/2)*b)\/b))\/(b**(-17\/2)*b**37*b) assuming b is positive.\nAnswer: b**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 18760\nAnswer: 39\/18760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/28*(3\/(-6))\/1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15) - (-31)\/5. Suppose 0 = 3*a - 5*a - o. Let d(t) = -2*t**3 - 4*t**2 + 2*t + 2. What is the remainder when 27 is divided by d(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjvjjjj. Give prob of picking 2 j and 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420555630?\nAnswer: 2, 3, 5, 11, 1274411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1181387*b - 15081 = 1181844*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176996748 and 6?\nAnswer: 176996748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrgdsrllllr. What is prob of sequence lrd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/7 - 0)\/(5\/(-6 - -1)). Solve 8*v = 2*s + 6*v, -2*s - 4*v + 30 = y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545867857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 times 2.5?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 121*c**2 + 22*c + 77. Is o(-5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 + d**2 - 8. Let t(y) be the third derivative of y**6\/30 - y**5\/30 + 7*y**3\/6 + 816*y**2. What is 5*k(o) + 6*t(o)?\nAnswer: -o**3 - 7*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 v when four letters picked without replacement from {v: 4, y: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*u. Suppose -h = 3*h + 3*y - 24, 5*h - 11 = y. Let g(d) = -d**3 + 2*d**2 + 2*d. Let j be g(h). Put j, 3, u in ascending order.\nAnswer: j, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -16*x + 110 - 26, 2*q = 3*q - 2*x + 17 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23316*h**2\/11 + 70162*h\/11 - 642\/11 = 0. What is h?\nAnswer: 107\/11658, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27639 + 0.55?\nAnswer: -27638.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 2*c - 20*c)*(c - 1 - 2 + 6).\nAnswer: -31*c**2 - 93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 859904.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + -1 - -2. Suppose -5*o + 2*b + 16 + 4 = 0, -o + 3*b = -f. Let z = o + -8. Sort -3, -2, z in descending order.\nAnswer: -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((192\/(-896))\/(45\/(-20)))\/((-3)\/(-28)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -732.92812 + 0.5.\nAnswer: -732.42812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11386 + -4777. What are the prime factors of w?\nAnswer: 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8216906 by -46.\nAnswer: -4108453\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/((-265)\/(-12985))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43050 and 345302?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:19 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 2877860*d**2 - 414103908980*d.\nAnswer: -5*d*(d - 287786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-506)\/(-6))\/(-11))\/(5\/45*-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*f**2 - 36 - 105*f**2 - 36 + 3*f**3 + 6*f.\nAnswer: 3*f**3 + 32*f**2 + 6*f - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 0*y)*(-2 - 55*y + 76*y + 162*y) to b*y + v + k*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7\/6 (b) -1 (c) -3267\/4 (d) 7.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 4, o: 3, y: 2, x: 1, v: 4}. Give prob of sequence gvx.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 10:28 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7008003 (base 9) to base 8.\nAnswer: 16155142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:14 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -22. Let f = 16 + -26. Calculate the remainder when m is divided by (1 + (-94)\/(-6))*(-15)\/f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*h**2 - 131*h**2 - 54 - 53*h**2.\nAnswer: -547*h**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u. Let y(s) = s. Determine y(r(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5)*4*56\/128. Let l(z) = 12*z**2 - 30*z + 17. What is the tens digit of l(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*m + 12, 4*m - 10 = -2*u - u. Let w(o) = -o**2 - o - 1. Let x(l) = -6*l**2 - 9*l - 7. Let q(t) = m*x(t) - 5*w(t). Determine q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 40*r + 1514990 = -4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 16*m + 17*m + 14*m - 61*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 5*o**2 + 2*o. Let a be ((-30)\/25)\/((-1)\/40). Let h = a + -45. Let v(u) = -1936 + 1936 - h*u**2 - u + u**3. Determine 5*j(z) + 8*v(z).\nAnswer: -2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2464 and 66850?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220365 and 2665?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 2*d**3 - d + 11*d**3 + 39*d**3.\nAnswer: 46*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -483, -518, -557, -600?\n\"Answer: -2*a**2 - 29*a - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2\/1)\/4*7622\/(-103)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 11, -1\/3 in increasing order.\nAnswer: -160, -1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (6 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 14972342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcm when three letters picked without replacement from memlppcmmmcm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -64*d + 73. Is u(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28689 divided by 5?\nAnswer: 28689\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/16471, 4, 3?\nAnswer: -2\/16471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763970 - 693030 = g. Round g to the nearest ten thousand.\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(10)*-2)\/sqrt(2).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 7, 9 in decreasing order.\nAnswer: 157, 9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 + a**3\/3 + 8*a**2 + a. Let x(n) = 3*n**3 - 7. Suppose 88 = 4*r + 4. Give r*l(z) + 6*x(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-7)*(-48)\/2880?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.067 + 0.567. Let p = 4 + -3.97. Which is the biggest value? (a) p (b) w (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -3 (c) 3\/8 (d) -1\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 26. Let m be w(-9). Suppose -m = -6*q + 1. Suppose -q*v = -36 - 348. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**4 - s**3 + 49754*s**2 + 2*s - 339758 wrt s?\nAnswer: -60*s**2 - 6*s + 99508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490487 - 0.591.\nAnswer: -490487.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkr when three letters picked without replacement from {k: 18, r: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 6*u**2 + 643. Let a(m) = 136*m. Determine a(d(s)).\nAnswer: 1632*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7491649 rounded to 2 decimal places?\nAnswer: 31.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3)*(-36)\/(-8). Let w(t) = 10*t - 6. Calculate w(q).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:01 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*z**4 + 3885*z**2 + 1062432*z wrt z?\nAnswer: 408*z**2 + 7770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 48 = -10*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:15 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1859)\/(-88) + -16)\/2)\/(4\/(-16))?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-665) - 3\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 54027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39 - -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + l. Let u be w(1). Let c be (1*(-3)\/(-4))\/(18\/48). Solve -j - 6 = 5*y, -2*j + c = -u*y - 4*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 2112.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53833522411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + y**2 + 3 + (2 + 0 + 0)*(-2*y**2 + 3*y**2 - 4*y**2) + 324*y - 324*y - 16*y**2 to x + r*y**2 + i*y and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191 + 44*o - 191 to the form u*o + a and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, j: 3, p: 4, e: 2}. Give prob of picking 2 o and 1 j.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + f - 1401 = 0, 12*f - 16*f - 363 = -i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 34*x**2 - 34*x - 31. Let c be w(-33). Solve -3*u + r = c*u + 4, 5*u + 16 = 4*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 21*x - 21*x + 3*x**2 + 4 in the form r*x**2 + i + w*x and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 + 2*k + 3. Calculate p(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11223685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 30383590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 114, 203, 294, 387, 482?\n\"Answer: h**2 + 86*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -10*a + 924, -4*t = 2*a - 2*t - 180. Calculate the remainder when 454 is divided by a.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + (1*sqrt(81))\/sqrt(3))*2)\/(sqrt(45)\/(sqrt(80)\/sqrt(4))).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fef when three letters picked without replacement from eeffefeeee.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 608599, 608620, 608643, 608668, 608695, 608724, 608755?\n\"Answer: c**2 + 18*c + 608580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*d - 5601, -4*c + d = -8219 + 771. Calculate the greatest common factor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26358 and 579876?\nAnswer: 579876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*t**2 - 113*t**2 + 279*t**2 + 1 in the form m*t**2 + j + b*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -0.11 (c) 696383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)\/(h*h\/((h\/h**(-5\/3))\/h*h)*h) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/22 (b) 0.5 (c) -12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652918856 to the power of 1\/2, to the nearest integer?\nAnswer: 60439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7943304 is divided by 4573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4.1. Let q = -5.3 + 3.3. Sort x, 11\/6, q in descending order.\nAnswer: 11\/6, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 11. Let g = d + -54. What is the tens digit of (-6)\/g + 1019\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z**3 + z**2 + 8*z + 42. What is the lowest common multiple of 567 and k(-3)?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from ttxxxxc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -52. Sort g, -3, -2.\nAnswer: g, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3*g + 2. Let k be y(3). Let o = 0.444 + -0.944. Let c = -61\/312 - -1\/24. What is the nearest to -3 in c, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = w + 16, -5*w - 6 - 2 = -4*b. Let d be 0 + 16\/60 + 21*(-2)\/70. What is the nearest to d in b, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7680852 and 1557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15) - (-13 - 244\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.99 - 7.99. What is the biggest value in -2, n, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 21. Suppose 0 = u + 4, 0 = -2*p + 5*u + 8. Is p\/h - (-56)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let n(u) be the second derivative of 0*u**2 - 6*u + 0*u**3 + 0 - 1\/6*u**4. Determine n(s(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.7 - 8. Let b = g + 0.3. What is the closest to 0 in 0, b, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**7\/7 - 2*d**6\/3 + 74*d**3\/3 + 21. Find the third derivative of o(c) wrt c.\nAnswer: -240*c**3 - 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:04 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1094668 + 75?\nAnswer: 1094732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-297)*9\/33*9\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 (base 9) in base 6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -159.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3239a7?\nAnswer: 3239a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6 + 7*b**4 - 185*b**3 + 43*b**2 + b + 3.\nAnswer: 120*b**3 + 168*b - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1744 and 68.\nAnswer: 29648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1324301314?\nAnswer: -1324301313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.63 (b) 5 (c) 0.02 (d) -3 (e) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29d78a (base 15) to base 4.\nAnswer: -13231021303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaaazfzzaazzaffaaz. What is prob of sequence faf?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riczdzoriidddri. Give prob of picking 1 o and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2371*z**2 + 363*z - 732. Is j(2) a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r + 34. Suppose 0 = 2*v + 5*k - 51, -13*k + 162 = 4*v - 15*k. What is the smallest common multiple of v and s(-3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 2*o + 18. Let c be r(-5). Let j be 2\/(-11) + (-22926)\/(-11). Suppose -a + j = c*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.4 and -4.\nAnswer: 129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/8)\/(2\/48). Let k = -48 - n. Suppose -2*g = -3*g - k. Does -37 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/3*225\/50 + 4325.\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2148637 (base 9) to base 5.\nAnswer: -243421102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)*102\/(-9) - 12\/(-18). Which is smaller: z or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -474*a + 262*a - 988*a. Let d(o) = 4*o. What is d(g(x))?\nAnswer: -4800*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12435 and 1515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + (-63)\/(-9) - -8. Suppose -2*t + 3*t - 37 = 0. Let r = t - q. Is r at least -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40470000 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**5 + u**5 + 5*u**5)*(95 + 9 + 187).\nAnswer: 291*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167443.\nAnswer: 167443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 2, v: 1, b: 1, p: 1, r: 1}. What is prob of sequence lr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 61*l = -60*l + 3107 + 952 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b - 26, d - 2*b = -1 - 1. Let n be -7 + d - 1*-6. Let q(w) = w**3 - 9*w**2 + 21*w + 1. Let i be q(3). Solve 0 = -0*r + n*r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 84 = -t + 2*z, 2*z = 0. What is the tens digit of 4*(t\/8 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1052 and -41\/126.\nAnswer: 66276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16*c + 162. Let f be h(-10). Suppose -3*r - 16*x + 5547 = -14*x, -4*x - 3682 = -f*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -409, -1691, -3855, -6913, -10877?\n\"Answer: -2*p**3 - 429*p**2 + 19*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(3\/(-3))\/((-2)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*y**2 - 110806*a**4*y - 1371*a - 39*y**2 wrt a?\nAnswer: -12*a**2*y**2 - 1329672*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/22)*b**(1\/8) assuming b is positive.\nAnswer: b**(7\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 3*v + v - 7980. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17731 - 14751?\nAnswer: 2760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68366136 to the nearest integer?\nAnswer: 8268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 5 - 4*q**2 + 5*q**2 + q**2 - 16*q - 5*q**2 to u*q**2 + i + s*q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*c + 2*a, a = c - 9 + 2. Let w be ((-324)\/(-10))\/(1\/c). Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 126236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116*23\/(-138) + 10\/30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + r - 5. Let k = -61 - -57. Give h(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 9:53 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*1*2\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1410.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t**2 + 3*t**2 - 5*t**3 - 44*t**2.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 719*w - 1 - 1733*w - 1368*w to the form u*w + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825373327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 65020626 divided by -656774\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -4*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 13*l - 2. Let b be j(-13). Let s(q) = 4*q**2 - q**3 + 5*q**3 + 3*q - 4*q**3 + q**3. What is s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(392\/16)\/(-7). Let w(i) be the first derivative of i**2\/2 + 16*i - 1. Is w(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48851 divided by 4?\nAnswer: -48851\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.27256 centimeters in micrometers?\nAnswer: 752725.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11710*k. Let s(p) = 2*p**2 - 4. What is s(n(i))?\nAnswer: 274248200*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 537 = -1637. Let m(k) = 5*k**3 + 2*k - 1. Let n be m(1). Let y = n + 8. What is the remainder when o is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6949*l + 2960281. Determine i(-426).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 862487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 23073*d - 23073*d - 35 = -46145*d, 2*r - 2*d = -26 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-30) - 1\/2. Put 0, 2\/9, a in increasing order.\nAnswer: a, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0*y**2 - 4 - 6*y + 5*y - 20*y + y**2 + 18*y. Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1\/29, 0.2, 4, -4 in descending order.\nAnswer: 4, 0.2, -1\/29, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 11, -10, 1174 in decreasing order.\nAnswer: 1174, 11, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4033\/210?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**2 + x - 5. Let p be v(5). Let z = p + 6252\/25. Let s = 64\/175 - z. Which is the third biggest value? (a) s (b) 4\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - f. Let u(v) = -v + 1. Let l be u(f). What is the units digit of l\/5 - (-72)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 7.39.\nAnswer: -44.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*t**4 - 79*n*t**3 - n*t**2 + 33*n + t**6 wrt t?\nAnswer: -48*n*t - 474*n + 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 3\/5 (c) 1.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1310 (base 4) to base 12\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -43. Solve 4*u = b - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(((-15)\/3)\/(-440)). Let h = 48 - z. Solve 3*j + h = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384133185?\nAnswer: 3, 5, 467, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 85\/(-20) + (20\/(-1))\/(-5). Let u = 152\/91 - 18\/13. Which is the nearest to u? (a) -3 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16631, 33236, 49831, 66410, 82967, 99496?\n\"Answer: -a**3 + a**2 + 16609*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*l + 12647 = -3097. Let m = 3 + -1. Suppose 4*b = 5*c - 225, 0 = -2*c - m*b + 6*b + 78. What is the remainder when l is divided by c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - 8 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 48*w**2 + 245*w + 204. What is the lowest common multiple of 36 and b(43)?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-12))\/((-1)\/(-344)). Calculate the smallest common multiple of 8 and 3\/12 - d\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -277*k - 271*k + 549*k. Let h(b) = 61*b**2. Give g(h(m)).\nAnswer: 61*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {a: 2, b: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 12\/10 - 32\/(-40). Suppose -m*g + 0*g = -2739. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 7. Let i be (-20)\/25*(-5 + 0). Suppose -6 = 2*j, -i*p + 5*j = -0*j - 3. Calculate z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12458.414023 rounded to one decimal place?\nAnswer: 12458.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minus 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(85)*1 + 2*(-1*sqrt(85) + sqrt(85) + sqrt(85)))\/(sqrt(45)*-1 + -6*sqrt(45)).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 5*t**2 + 7*t**2 + 6*t**2 - 18*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*z - 4*z**3 + 38*z)*(-6 + 2*z + 6) - 79*z**3 + 19*z**4 - 17*z**4 + 7*z**3 to the form g*z**4 + m*z + d*z**2 + k*z**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1519 - -1571. What is the remainder when 134 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 28189?\nAnswer: -28202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) -2\/7 (c) -3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3323060 is divided by 2050?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6089*x - 48713. Calculate k(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5433, 5454, 5489, 5538?\n\"Answer: 7*x**2 + 5426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:12 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -11*f**5\/4 + f**3 + f**2 - 5*f + 1. What is the second derivative of g(d) wrt d?\nAnswer: -330*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 12*c - 7. Let p be d(-3). Let y(w) be the second derivative of -11\/2*w**p + 0*w**3 + 0 + 1\/2*w**4 - 6*w. Differentiate y(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -9\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172322631.\nAnswer: 3, 13, 41, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(1 - 59\/(-3)). Let j be 92\/18 - q\/(-279). Solve -j*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 130 = -m. Let r(h) be the third derivative of 3*h**4\/8 - 7*h**3\/6 + 6*h**2. Let y be r(1). What is the greatest common factor of y and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3921?\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-20)\/(-72))\/(-5)*1716\/23760 and -179\/1620.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 3208*p**2 + 39072*p = 0.\nAnswer: -12, 0, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7372394701668 and -13.\nAnswer: -7372394701681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*u**4 + 6*u + 0*u - 6*u**4 - 9*u**4 - 142 + 13*u with respect to u.\nAnswer: -4*u**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261839024*g**3 - 2*g + 16074331?\nAnswer: 1571034144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1568641*v - 1820794?\nAnswer: 1568641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*c + 2, i - 6*i - 25 = 5*c. Let y be i\/(-12)*2 - 306\/(-4). Let b = y + -5. Calculate the remainder when b is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.70416 years to decades.\nAnswer: 0.370416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 8) + 2 - 8 - (-13 - 23)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20557 is divided by 444.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -138. Let o = 143900954 + -143901042.999891. Let m = o - w. Round m to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545657, 545656, 545655, 545654, 545653?\nAnswer: 545652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o + 1. Let h(j) = -4*j**3 + 6*j - 1. Let f = -305 - -306. Let t(n) = f*h(n) + 3*s(n). Solve t(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46355 and 1679.\nAnswer: 1066165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -aa3?\nAnswer: aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1429984.49973 - -1429991. Let c = -6.5 + t. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -32 + (2 - 4 - -3). Let g = r - -24. Is -7 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/2)\/j*j*j**(-4\/3))\/(j*j**(-5)*j**(-2\/37)*j))**15 assuming j is positive.\nAnswer: j**(-865\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64847*d**3*h**3*m**3 - d**3*h**3*m**2 - 6*d**3*h**3 + 2*d**3*m**2 + 2*d*h**2*m - h**3*m**2 wrt m?\nAnswer: 389082*d**3*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15349, 30799, 46271, 61765, 77281?\n\"Answer: 11*k**2 + 15417*k - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-17 - 791\/(-49))*-8610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5653 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 8 (c) -4\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25244.\nAnswer: 2, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/2)\/(240\/16 - 12). Is 49\/83 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -43*m + 213. Let w(x) = -602*x + 3053. Let j(k) = -43*d(k) + 3*w(k). Let t(r) = 2*r**2 - 4*r. What is t(j(b))?\nAnswer: 3698*b**2 - 172*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(-5)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {u: 2, x: 7, w: 7}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 3. Let b(w) = 160 + 162 - 323. Calculate -9*b(a) + 3*l(a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.16, -0.4, 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/10 + 9*i**3\/2 + 103*i**2\/10 - 2781*i\/10 - 1148 = 0 for i.\nAnswer: -41, -7, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooyoyyyyyyyyyyoyy. What is prob of sequence yyoy?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/9 - 707547976*p\/9 + 62578017292712072\/9 = 0?\nAnswer: 176886994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 213*j - 214*j + 15 = 0, -c = 5*j - 39. Solve -3*m - 8 = -17*u + 21*u, m + c = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let b(g) = -g - 1. Let j(a) = a**3 + 54*a**2 - 360*a - 4. Let p be j(-60). Calculate p*b(q) - 6*z(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*n*o**3*v - 10*d*n*o**3 + d*n*o**2*v - d*n*v + 4*n*o**3*v + n*o**2 + 8*v wrt o.\nAnswer: 6*d*n*v - 60*d*n + 24*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74344077.\nAnswer: 3, 17, 485909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Suppose 0 = 4*f + 4 + 4. Let u be 3\/((-6)\/11)*f. Suppose u*z = 12*z - 5. Determine h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 12*t - 4. Let s(g) = g**3 - g**2 - 11*g + 4. Let v(h) = -6*d(h) - 7*s(h). Suppose -o = -0*o - 7. What are the prime factors of v(o)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2\/1)\/1. Suppose j = -6*n + 4*n + 2. Let b(o) = o - 1. Suppose 6*d - 3*d = 3. Let c(x) = -2*x**2 - x + 1. Calculate d*b(a) + n*c(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 8*c + 2. Let q be d(-5). Let j = q - 17. Suppose 3*y - 11 + 2 = j. Solve 0 = 3*s + 3, 6*v - 8 = y*v - 4*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21729037?\nAnswer: 11, 1975367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1738 - -1741. Solve -2*v = -2*m - 2, 6*m - m = -n*v - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 14 - 8. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*v - 52 = -607*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -58) + (2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of (5 - (-148)\/(-4))*(-3 - 13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1234 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*c*g**2 - 426*c + 8*g**4 + 1 wrt g.\nAnswer: -60*c*g + 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-1)\/(-6)))\/(-25 - -27). Let s(x) be the second derivative of 1\/2*x**q + 0*x**2 - 2*x + 0. Let v(i) = 2*i**2. What is s(v(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-8))\/(3\/24). Let j = 33 + r. Suppose p + 3*a - 1 = 0, 2*p + a - j = -3*p. Solve -p*v - 4 = 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 3*p. Solve -p - 36 = -8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 90 = 0. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.45639 rounded to 1 dp?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27096?\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 121 (b) -0.5 (c) 10 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1873345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4032)\/(-105))\/32)\/((-2)\/(-10))*161\/(-69)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 576*a**3 + 2498*a - 4*a**2 + 4 - 2487*a + 2*a**2 as f*a + g*a**2 + q*a**3 + j and give q.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1730 and 3272.\nAnswer: 2830280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10139*a**6 - 273*a**4 - 10*a**2 - 174871*a + 2?\nAnswer: 1216680*a**3 - 6552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:44 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*n**3 + 453*n - 370*n**2 - 610*n + 159*n in the form q*n + k + t*n**3 + d*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12666, -3, 6 in ascending order.\nAnswer: -3, 5, 6, 12666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-50))\/((-3)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4085, -53, 18.\nAnswer: -53, 18, 4085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -27 - (4 - 10 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 8*b - 7. Let f be d(1). Suppose i - 4*i = 0. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 2*q - 16. Let l be z(6). Let b = 14 - l. Suppose -13 = -b*s + 17. Solve 2*h + s = 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 1. Let f be o(1). Suppose 4*h - f*c = 23, -4*h = -3*h - c - 7. Find the third derivative of 15*m**3 - 9*m**3 - 4*m**5 - 6*m**3 - 4*m**h wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*o**3 - 167*k*o**2 - 361*k*o - 13*o wrt o?\nAnswer: 24*k*o - 334*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 - 8 = 0. Let y(b) = -4*b**2 + 2*b + 5. Let o(t) = -8*t**2 + 5*t + 10. Let h(k) = u*o(k) - 5*y(k). Differentiate h(z) wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -j + 160, 5*j + 29 = t - 11. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/20 + b**4\/12 - b**3\/2 + 11*b**2\/2 - 4*b. Let a be i(0). Solve q - 3*o + 2*o - 1 = 0, -q + a = -3*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20017 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/((-2)\/(-72)). Let x be 2*(t\/4)\/(-3). Let w be ((-6)\/(-8))\/(x\/(-6)). Which is the smallest value? (a) w (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 33.91. Let q = h - 1.91. Which is the closest to -2? (a) 3 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15516*m - 46538. What is n(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 + 0*s + 1\/8*s**4 + 1\/20*s**5 + 0*s**3 - 39*s**2. Suppose -2*g - 3*i = -5, 0 = -g - 2*i - 1 + 5. What is y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -150, -358, -652, -1032, -1498, -2050?\nAnswer: -2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799149945.\nAnswer: 3, 5, 253276663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3 = -0*r + 5*o, -4*r + 4*o = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 35*d**2 + 6. Let y(z) = -1100*z**2 - 187. Give -187*a(c) - 6*y(c).\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - a. Solve a*d + 3 - 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, f: 11}. Give prob of sequence ccfc.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 1479*d**4 + 177*d**2 - d - 19 wrt d.\nAnswer: -120*d**2 + 35496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:21 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378*w - 80640 = 2597*w - 4335*w for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 37 = -5*c + 45, -5*u - 3*c + 16 = 0. Solve -7*t - u*t = 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 135.\nAnswer: 4\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/12)*o\/o**7*((o**(2\/17)*o)\/o)\/o**(5\/4) assuming o is positive.\nAnswer: o**(-719\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75301495?\nAnswer: 5, 15060299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22255470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75e + 1?\nAnswer: -75d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpxxxpxpxp. What is prob of sequence pxp?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -20, 1, 0 in decreasing order.\nAnswer: 5, 1, 0, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 - 329 = -78*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -55*k - 8. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**3 + 48*k**3 - 19*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.512 + -0.518. Let k = 3.83 + f. Which is the nearest to k? (a) 2\/11 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1697 or 35638\/21?\nAnswer: 35638\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-2*sqrt(7) + 2)) + (sqrt(21)\/sqrt(48) - sqrt(7)) + sqrt(7).\nAnswer: -2 + 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-15) - (-1)\/5. Suppose 5*v - r - 22 = 0, 3*r + 15 = 8*r. Solve j*s = -5*y + 10, y - 25 = v*y - 5*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103\/56 - -17\/8. What is the third smallest value in 0.2, u, 25.8?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + 295. What are the prime factors of x?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-42) - 318\/371\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -160*m - 5. Let y be c(0). What is the nearest to 0.1 in 3, 2\/17, y, 1\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3136, -3132, -3124, -3112, -3096, -3076?\n\"Answer: 2*f**2 - 2*f - 3136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(4 + (-4)\/2). Let u be 4 - (-1)\/(-1) - -1. Do m and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16541 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530367720.\nAnswer: 2, 3, 5, 4419731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 1514 = -2*p - 5*b, -3*b = -p + 755. Suppose p = 4*t + 665. Solve -7*x + 13 = -8*x + 2*n, 3*x = 3*n - t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*r - 22 = -5, 0 = 3*t + r - 11. Suppose -j - 5 + 17 = 0. Let f = j + -8. Calculate the smallest common multiple of t and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 126 = 3*p - 7*p, 4*n = -p + 487. Calculate the remainder when n is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -822, -1332?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 7*p - 2. Is 6256\/6 + p\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81697, -81692, -81677, -81646, -81593, -81512, -81397?\n\"Answer: v**3 - v**2 + v - 81698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f + 5 - 1\/2*f**2. Let l(w) = 2*w + 5. Determine -l(i) - 4*q(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + i**3 - 3*i**3 + 2*i**3 - 2*i + 2*i**3 + 7*i**2 in the form o*i**3 + f*i + u*i**2 + k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*((-2 - 5 + 3)*(10 + 6 - 11) - 1 - 1 + 3 + 1 + 3 - 2 + (0 + 1 - 2)*(1 + 1 - 1) - 3 - 1 + 2).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:35 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1409601?\nAnswer: -1\/1409601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.55258l in millilitres?\nAnswer: 10552.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (35 + -8 - (-28 + 32))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/70 + 17*i**4\/3 + 1856*i**3\/21 + 3680*i**2\/7 - 13122*i. Factor z(l).\nAnswer: 2*(l + 4)**2*(l + 230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**2\/4 - 5983*k\/4 + 665\/2.\nAnswer: -(k + 665)*(9*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57\/320 + 6241\/36160. What is the second smallest value in -5, -3\/5, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898 divided by -62\nAnswer: 449\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*j - 155750 = 15*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*k + 21 = 3*k, 2*k + 6 = 4*v. Suppose 0 = -2*f - 2*f + 4*h - 8, 5*f + v*h = 26. Calculate the lowest common multiple of 5 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -4240461\nAnswer: -4240461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 124640*q - 249264.\nAnswer: -4*(q - 31158)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 14 - (-18 + 39 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 - 3*z + 1. What is the remainder when v(2) is divided by 36\/(-27)*(-84)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*y + 24, -6*v - 3*y = -0*y - 60. Calculate the remainder when 674 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53 + -4 + (0 - 0). Calculate the highest common factor of w and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62795 = 81*t + 27537 + 28778 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35, -16 in descending order.\nAnswer: 1, -16, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 2*j. Let q(w) be the third derivative of -w**5\/30 - w**4\/12 - w**3\/6 + 3*w**2. Calculate -3*i(s) + 2*q(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(0 - 4\/(-3)). Suppose 5*r - 7 - 12 = -f*v, 5*v - 65 = 2*r. List the prime factors of v + (-3 - -2*1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-462)\/(-162))\/((-5)\/30). Let b(j) be the first derivative of -2\/27*j**3 - u*j + 4\/9*j**2 - 5. Factor b(s).\nAnswer: -2*(s - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-62)\/4)\/(6\/(4 + -316)). Suppose 2*z - 9*t = -4*t - 804, -2*t = -3*z - 1195. Let g = a + z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61574 is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 29, 37, 45, 53, 61?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3 - 6. Is -1*(q - 10\/(-3))*-1761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3666812*d**2 + 44687*d - 17 wrt d.\nAnswer: -7333624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56084 less than 56083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 4*o + o)*(0 - 11 + 2)*(-3*o**2 + 0 + 0)*(-3 - 1 + 2) to the form h*o + t*o**2 + g + b*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 135*f + 979*f.\nAnswer: 1114*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -643 - -1112. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**19\/f)\/f)\/f*f**(-22)\/f assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 989. Let a be v(-13). What is the highest common factor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**7\/840 - b**5\/120 - b**3\/6 - 2*b**2. Let d(s) be the first derivative of o(s). Find the second derivative of d(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + (-48)\/9)\/(164\/186) - 12?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 12*m**2 - 10*m + 5. Let q be y(-11). Let c = 6 + q. What is the units digit of (34 + (-4 - c))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 373133.5 centimeters?\nAnswer: 3731335000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6058*f + 18140. What is t(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 73. Let b be (14\/4)\/((-59)\/354). What is r(b)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -6 + 26. Suppose 0 = 4*d + 5*n - 39, 4*d - z*n = 3*n + 89. Let a be (-80)\/d + (-1 - -62). What is the highest common divisor of a and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*v. Suppose 0 = -v*l - 5*c, 0 = -0*c + c + 2. Suppose l*p - 29 = 141. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 3*o - 19, 0 = f - o - 2 + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13329 divided by -1116\nAnswer: -1481\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g + 0)*(-4*g - 6*g + 2*g)*(0 + 2 - 4).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-24))\/(-52)*8\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 229\/1088, -2\/3 in ascending order.\nAnswer: -2\/3, -2\/17, 229\/1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010101 - -1000?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(4 + 0 + -3). Let c be ((-6)\/(-9))\/(n\/84). Suppose -5*a + 3*b + 484 = 0, -2*a + b - 472 = -c*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/108 - -8\/27. Let t be 9\/(-90)*-10 - -5. Which is the closest to -1\/3? (a) t (b) -3 (c) -2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1846 divided by -689264.\nAnswer: -923\/344632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -45817*q**2. Let p(n) = 3*n**2. Determine t(p(z)).\nAnswer: -412353*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b1 - 1?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 plus -108.571?\nAnswer: -85.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57228 is divided by 132?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 12) to base 10\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044633 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2562767 micrometers in nanometers?\nAnswer: 256.2767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, -33\/5, 3\/11, -8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 13*b - 1. Suppose -5*t - 3*z + 8 = z, 5*t + 5*z = 5. Let j be v(t). Is j not equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 + 10*s - 3. Does 25 divide y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7))\/(15 - 1664\/112). Sort -2774, 5, z in descending order.\nAnswer: 5, z, -2774","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 2, -6, -14.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 3, 0.2, -0.1, -38, 928\/3?\nAnswer: 928\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 4*j**2 - 8*j - 1. Let b be u(4). Let h = b + 66. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8*o = 0. Suppose o = -6*a + 8*a - 42. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 3*x**2 + 0 - 2.\nAnswer: -5*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09402285 to 4 decimal places.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -630, -3, -204, 0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*-5*8388\/9. Let i be (6\/(-4))\/(30\/y). Is i less than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 15 = -3*u, -l + 2*u - 10 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4455148*k**2 + 71524*k - 33?\nAnswer: -8910296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-6))\/(-3)*-4. Let x = 0 - n. Let a be ((-18)\/(-24))\/(x\/(-4)). Is a at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:29 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(1872) - (sqrt(1872) + 0)) + 2) + 6*(3 + sqrt(1872))*3)*-1)**2.\nAnswer: 24192*sqrt(13) + 609664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**4\/24 + d**2. Let t(m) be the first derivative of 3*m**2 + 8. Calculate t(z(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/392, -10 in increasing order.\nAnswer: -10, -2, 1\/392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 2*i**3 - i)*(-260 - 261 + 513 - 8*i) in the form y*i**3 + l + v*i + a*i**2 + f*i**4 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 877*z + 9656. What is m(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 134210490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = 6*a + 216. Calculate the remainder when a is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144120, 144121, 144132, 144159, 144208, 144285?\n\"Answer: o**3 - o**2 - 3*o + 144123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + l = -v - 11, 4*v + 5*l = -11. Is v\/22 + 129451\/77 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7624 and 128655?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5933302 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: Solve -5*o = 3*i - 2*o - o + 10, 4*i - o = -4*o - 12 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 + 397*a**3\/2 - 561*a**2 = 0.\nAnswer: -102, 0, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1567825*y**2. Let q(t) = -2*t**2. What is a(q(r))?\nAnswer: -6271300*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 369829, 739684, 1109541, 1479400?\n\"Answer: m**2 + 369852*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927533 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*r*x**2 - a*r*x + a*r + 70*r + 5*x**4 wrt x?\nAnswer: 2*a*r*x - a*r + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5941945*u + 2022860.\nAnswer: -5941945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 34981 in ascending order.\nAnswer: -2, 0, 34981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 1. Let v be f(3). Suppose 0 = -w + v*l - 14, l - 46 = 2*w - 0*l. Is w\/(-60) - 326\/(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -2*h - 198 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*h**2 - 1125*h**6 + 2241*h**6 - 1117*h**6 + 4*h**3 - 2 wrt h.\nAnswer: -120*h**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 20. Let g be b\/(-28) - 229\/(-7). Calculate the greatest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1475*l**2 + 43*l**4 - 43 - 1475*l**2 wrt l.\nAnswer: 172*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46702886023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -320*u - 13311. Give v(-41).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 4. Let g be o(-9). What is the tens digit of (-1 - 0)*(6 + g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 2667 + 1098. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**4 + 2*d**3 - 351*d**2 - 4327.\nAnswer: -8*d**3 + 6*d**2 - 702*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2) + 89\/(-29). Let l = w + -25\/58. Which is the nearest to l? (a) -0.2 (b) 5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -7, -0.2, -623, -4, -6.\nAnswer: -623, -7, -6, -4, -0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 940 = -604. What is the greatest common divisor of n and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2439\/100915 or 1?\nAnswer: 2439\/100915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + 4. Let t(o) = -o + 1. Let n(i) = -7*t(i) + 2*x(i). Let r be n(-16). Calculate the greatest common divisor of r and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 3. Suppose 2*o + 8 = 0, a*y - 5*o - 12 = -y. Let h be y\/(-11) - (-38)\/(-88). Which is greater: h or -32?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -8*k - 57764. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626015.495 rounded to the nearest one thousand?\nAnswer: -1626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(16\/(-4)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*2 - (-17)\/(-18)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 108 = -3*w, -5*w + 64 + 84 = 3*s. Let v = -105982 - -106002. Calculate the smallest common multiple of w and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**2 - i**3 + 20632 - 20632 to the form q*i + j*i**3 + u*i**2 + y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 782. What is h(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4383 minus -0.78725?\nAnswer: -4382.21275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12. Suppose 8*x - 3*x = t. Let i be (7 - 6)*(2 - x). Solve -2*s + 2 + 8 = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -215*(12 + -7 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15) + (-231)\/(-15). Let p be 9\/12*l\/6. Suppose 7*f - 3*f = p*z - 10, -3*f = -5*z + 18. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 18?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 11) to base 4.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/522792 and 125\/954.\nAnswer: 522792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/6)\/((-25)\/(-60)))\/2*9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118b7598 - 7?\nAnswer: 118b7591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z + 10*z - 38*z + 3*z = 3668 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6310*y**3 - y**2 - 9*y + 10. Let j(u) = -u**2 - 15*u + 7. Let k be j(-16). Let a be q(k). Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394 and 465708.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-1 + ((sqrt(187) - sqrt(187)*-1)*2 - sqrt(187) - sqrt(187)))\/((sqrt(11) - 1*sqrt(11))*-2 - (sqrt(539)*2 - sqrt(11))).\nAnswer: -4*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = 22*u - 72. Is u >= -272\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 793*j + 2459. What is n(-4)?\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145426, -290939, -436454, -581971, -727490, -873011?\nAnswer: -1018534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15 - (-104)\/(-6). Which is greater: w or -18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-5 + (7 - 2)). Let t be g*20\/(-48)*-4. Solve 7 = -t*p + 4*y, -2*y - 4 = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -110111010010101111101?\nAnswer: 110111010010101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 9*s**2 + 24*s + 2. Let c be h(-7). Let t = 754 + c. Solve -3*q - 6 = -t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and 5957169484.\nAnswer: 5957169495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 15*d - 13*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74681329?\nAnswer: 2617, 28537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -7)\/(-2 - -3 - -1). Solve 5*y + 3*j = 19, -4*j + 6 - 14 = p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149999371 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/216)\/(2\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (98217\/2183)\/(-9) - 0. Let b = o - -8774\/45843. Factor 8\/21*j**3 + 2\/21*j**2 + 0 - 2\/7*j**4 - b*j.\nAnswer: -2*j*(j - 1)**2*(3*j + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -77. Let 48*s - 9*s**5 + 12*s**4 - k*s**5 - 9 - 7 - 44*s**2 + 4*s**3 + 18*s**5 = 0. What is s?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*z - 4*k - 0, -2*z = 2*k - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, 0.1071135?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**5 + 573*r**3 + 5*r**2 - 955*r - 546 wrt r?\nAnswer: -20*r**3 + 3438*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let f(n) = 24*n + 5*n**2 + 2 - 49*n + 18*n. What is f(g) + 6*x(g)?\nAnswer: 5*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3968*b + 3963*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*v + 14*v**2 + 5*v**3 - 11 + 55 + 52*v - 16*v**2 to the form a + m*v**3 + l*v + q*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.3, 59266?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/4)))**(-2\/3)*(s**12)**(-1\/59) assuming s is positive.\nAnswer: s**(-131\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31855620*p**6*w**3 - 23955647*p**2 + w**3 wrt p.\nAnswer: -3822674400*p**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 84074*-0.3\nAnswer: -25222.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (78 - (-46 - -103)) + -11 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -464 - -459. Calculate the remainder when 154 is divided by 93\/(4 + (-6 - n)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-31))\/((-6)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.319318176 + 10.517445874. Let i = 0.16322715 + b. Let d = i - 11. What is d rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598 divided by 2.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30120 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2025 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w)**(-2\/43)\/(w**5*w*w\/(w*(w*(w\/((w*w*w\/(w\/(w**(-3\/4)\/w)))\/w*w*w))\/w)\/w)*w) assuming w is positive.\nAnswer: w**(-1423\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -7, -53, -137, -271, -467, -737?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 8790304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -2*p - 2*i, -3*i = -3. Suppose -5*b = 5*r - 55, 0 = p*b + 5 + 1. Calculate the remainder when 51 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 11*v**4\/12 - 2*v**3\/3 - 12*v**2. Let i be a(1). Suppose -4 = -2*c - 4*w, c - 2*w = -3*c + i. Solve c*r + 1 = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4240176 less than or equal to 4240193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2560206*d**4 + 399212*d**2?\nAnswer: -61444944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29.24, 10, 0.\nAnswer: -29.24, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {j: 4, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0*o**2 - 2*o - 11\/6*o**3 - 26. Let p(g) = -9*g. Calculate p(c(u)).\nAnswer: 99*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6241265 (base 7) to base 15.\nAnswer: ec185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 111, 89, 47, -21?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:48 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609 divided by 7.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -8, -14, 0.1 in decreasing order.\nAnswer: 0.1, 0, -1, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let y(l) = -5 + 12 - 4*l - 4. Let b(u) = 2*m(u) + 2*y(u). What is the first derivative of b(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -324*n + 966. What is g(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0.2, -5, -3\/7, 0 in ascending order.\nAnswer: -5, -3\/7, 0, 0.2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126\/5 - 25. Let s be 4\/(-10)*((-70)\/49)\/(-2). Which is the second smallest value? (a) 4 (b) v (c) s (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210.12 - -27.08. What is t rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34028113, 34028130, 34028147?\nAnswer: 34028164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (2418 + -4 + 1). Let j be ((-2)\/20)\/(9 + 21788\/f). Let i = -54 + 83. Are j and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*q**2 - 15620*q\/3 - 496 = 0. What is q?\nAnswer: -2\/21, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v. Let f(t) be the first derivative of 0*t - 13\/2*t**2 + 150. What is f(y(r))?\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*k - 7 + 8 + 5, 14 = -4*a + 2*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322110*d + 322064*d - 644168*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1176)\/36)\/((-3)\/((-135)\/(-6))). Calculate the highest common divisor of 147 and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmmwwdwwywmdywmdmm. Give prob of picking 1 m, 1 w, and 1 y.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 0*z**5 + 0*z**5 + (-3*z**2 + 6*z**2 - z**2)*(7*z**2 - 7*z**2 + 4*z**3) - 2*z**5 + 3*z**5 - 2*z**5.\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13439.97 nanoseconds in microseconds?\nAnswer: 13.43997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357367.\nAnswer: 3, 569, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 2015\nAnswer: 221.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 102\/7, 4\/5, -4, -28 in ascending order.\nAnswer: -28, -4, 2\/5, 4\/5, 102\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2 (c) 6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078861, -2157793, -3236725, -4315657?\nAnswer: -5394589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -6, -1537 in decreasing order.\nAnswer: 4, -2, -6, -1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 2\/5 (b) -2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = f. Let k be (f - 0 - -1)\/(-1). Suppose -5*t + t + 652 = k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 - 711*j**3\/5 - 712*j**2\/5.\nAnswer: j**2*(j - 712)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63521614, 63521640, 63521680, 63521740, 63521826?\n\"Answer: p**3 + p**2 + 16*p + 63521596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1625096 and -9164.\nAnswer: -1634260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14460, 33, -5, 2.\nAnswer: -5, 2, 33, 14460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {m: 6, q: 2, w: 4, s: 1, x: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3339783 divided by -9\nAnswer: -371087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41938, -43044, -44150, -45256?\nAnswer: -46362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 12. What is the remainder when 74 is divided by l\/32 - 153\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let t(h) = 4*h - 2. What are the prime factors of t(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, -7934, -2, 67 in decreasing order.\nAnswer: 67, 4, 3, -2, -4, -7934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*k - 12014 + 126582 = 0, 0 = 5*k - 20. Let s = 8813 - h. Let y = s - -22541. What is y rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102761 divided by 3\nAnswer: -102761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1282*m**2 - 1 - 982*m + 2537*m**2 - 1254*m**2 to y + f*m**2 + u*m and give u.\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11170 a factor of 982084001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + i. Let v be c(-1). Let g be 0\/3 + 8\/v. What is the greatest common factor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d8 + 0?\nAnswer: 5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 - 2*g. Let t be y(2). Let x(c) = 0 - 2 - 3 + c. Give x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 3. Suppose 5*v - 17 = 8. Let c be w(v). Let n(x) = -3*x**2 + 7*x**3 + 3*x**2 + c*x - 1. Calculate n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 4*z - 132. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 6\/11 (b) 13 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 11, 36 in decreasing order.\nAnswer: 54, 36, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2171504717 - -2171504714.800000001. Let y = 2.2 + q. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/21472 and -9\/179584?\nAnswer: 1975424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 17 + 9 - 55 + 16 + 7. What is y(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2695 and 1424885?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose t*h + 9 + 6 = -g, 3*h + 15 = 0. Let w = -2 + g. Solve 8*s - 5*o = w*s + 10, o = 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -2\/11, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -139. What is the fourth smallest value in 1, -0.1, 0.3, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.405 - -0.03. Let n = 5.3813 + -5.739. Let r = t - n. What is r rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let f = b - -6. Suppose 4*w - 4*r - 218 + 238 = 0, 9 = -3*w - 3*r. Are f and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 + 6*c + 7. Let s be t(-6). Let r(w) = 2*w - 12. Let i be r(s). Solve 10 = 4*o - i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-16) + 1071\/(-24). Let u = i - -21. Let o be ((-115)\/20)\/(2\/u). Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.359 - -340536998.\nAnswer: 340536997.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2403227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14*c**2 + 17*c**2 - 30*c**2. Let k(m) = 2*m**2 - 26. Determine s(k(i)).\nAnswer: 4*i**4 - 104*i**2 + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 36 = 5*m + 13, 0 = -5*y + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(sqrt(1053) + -2))**2 + -2*sqrt(13)*-2 + sqrt(13) + (2*sqrt(91) - sqrt(91))\/sqrt(7).\nAnswer: -444*sqrt(13) + 26350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101 (base 2) to base 16.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2474\/10 + 2\/(-5). Let k(t) = t**2 + 3*t + 5. Let u be k(-3). Find the third derivative of -17*l**2 + 247*l**3 - 8*l**u - o*l**3 wrt l.\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17873 (base 16) to base 13\nAnswer: -34b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 1. Let n be z(10). Solve 8*q = 11 + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 8.27\nAnswer: -28.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 26016, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -383828125*w**4\/3 - 90591565625*w**3\/3 - 639431625*w**2 - 4513545*w - 10620 = 0. What is w?\nAnswer: -236, -3\/425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -19*k**2 - 6702*k - 50716. What is o(-345)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -27*g. Let f(z) = -9 - 12 + 21 + z. What is f(j(l))?\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-952)\/(-85) + -11). Solve -c*n + 0*o = -5*o + 5, -7 = n + 2*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4820 (base 10) to base 3\nAnswer: -20121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7957980554.\nAnswer: 2, 313, 12712429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, -5 in increasing order.\nAnswer: -5, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -13*f**6\/720 - f**5\/60 + f**4\/6 - 6*f**2. Let x(w) be the second derivative of i(w). Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 761737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-266)\/(-240) - 7\/21. Let z = -9\/10 + v. What is the common denominator of z and -50\/79?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 12, -21, -78, -165?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 + 163945*m**3 - 3*m**2 + 1251*m - 22 wrt m.\nAnswer: -120*m**2 + 983670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 558 - 563. What is the third smallest value in 1, 1.7, j?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111349 or 111353?\nAnswer: 111353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 140\/(-40)*(36\/(-63) - (-5725374)\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/173 (b) 2 (c) -2.1 (d) 8\/13 (e) 4\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 2. Let a(u) = 4*u - 1. Let w(p) = -7*a(p) + 6*l(p). Determine w(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/13 - 5130438*t**2\/13 - 10260890*t\/13 + 15391326\/13 = 0. Calculate t.\nAnswer: -3, 1, 2565221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 664 = 1648. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4 - 9. Is (y + 9\/2)*(-28)\/(-2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, f: 4, p: 1, y: 6}. What is prob of picking 1 i, 1 p, and 2 y?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214434 is divided by 1357?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:12 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/560 + i**6\/80 - 3*i**5\/160 - i**4\/16 + i**3\/4 - 4*i**2. Suppose f(j) = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-5 - -4) + 1 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w)**(-3)\/(w*w**(-2\/13)\/w*w)**23)**(-8) assuming w is positive.\nAnswer: w**(1504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116298 and 91854?\nAnswer: 84781242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45364\/7 - 6452. Let l(s) be the first derivative of -2*s**3 - 120\/7*s**2 - 1\/14*s**4 - 1 - z*s. Factor l(h).\nAnswer: -2*(h + 1)*(h + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(-46)\/(y**(-1\/4)*y)**(-3\/7) assuming y is positive.\nAnswer: y**(653\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 8. Let y be d(5). Suppose -l = -6*l - f - 2, 9 = -3*l + y*f. Let x be 6\/(-2) + (-5)\/l. Solve 2*h = -x*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/12 + i**3\/6 - i**2 + i + 4. Let y(a) be the first derivative of t(a). Give y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-60) - 4)*(-312)\/416.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152697\/7 < 450386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.1 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*w = 9, -4*w - 6 + 18 = 2*a. Suppose -4*h = 2*f + 18, -f + 2*h + 11 = -a*h. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 3*j**2 - 4*j. Let n be t(-6). What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w = 19*w - 2394. Let d(v) = -v**3 - 19*v**2 - 3*v - 51. What is d(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151 and 16.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -47*u + 2. Determine c(-2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/5 + 24*h**4\/5 + 251*h**3\/5 + 174*h**2\/5 - 448*h\/5 = 0 for h.\nAnswer: -7, -2, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 + (-1 - -2). Suppose 2*w + l*w - 3115 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.5. Which is the smallest value? (a) 2\/5 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 791\/(-1582)*((0 - -1) + -2809). What is the highest common divisor of a and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16805 + 16799.9999792. Let j = -5 - d. Round j to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let y(u) = -u**2 + u + 6. Let n be y(m). Let x(l) = -n + 0*l + l - 3*l. Give x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*y - o, 5*y - 2*o = -0*o + 2. Suppose 3*l = -y*f + 62, 4*f - 124 = -l - 4*l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 594884*n - 594884*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36358 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.2 (b) -5 (c) 72 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 589 + -409. Let h = -124 + y. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 5*g**2 - 6*g - 3. Let p be u(-4). What is the third derivative of 13 + 6*k**3 - 1139*k**2 + 1136*k**2 - p + 2*k**5 wrt k?\nAnswer: 120*k**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368841\/3 at most 456280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177663?\nAnswer: 3, 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (8 - 0) + -2 + 7 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4061 + -3787. What is the remainder when 6845 is divided by k?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -46*w - 808. Let n be k(-18). Solve 0 = 5*h - 0 + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.391 and 4.\nAnswer: -5.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243349593.\nAnswer: 109, 661, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**2)\/c*c\/c**(2\/15)*c assuming c is positive.\nAnswer: c**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -188. Let t(h) be the first derivative of 3\/2*h**2 + 2 + f*h. What is the derivative of t(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4007 * -0.262\nAnswer: -1049.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10557\/4335)\/(-69)*5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(2*o - o + 0*o)*(-6*o + o + 4*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 56\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 6. Let i(u) = -u**3 - u + 1. Let v(b) = -5*b**3 - 5*b**2 - 5*b + 8. Let x(s) = j*i(s) + v(s). Calculate x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1168.38 (b) 0.3 (c) 0 (d) -1\/51 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:30 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 500? (a) -3 (b) 2 (c) -2693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 4)*(-u + 3*u**3 + u**4 + 2*u + 2*u).\nAnswer: 10*u**4 + 30*u**3 + 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-69)\/(-4) + (-1)\/4. Let b = f + -28. List the prime factors of 12 + -9 - b*1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1561, 5, -1\/5, -2\/3, 1\/4 in increasing order.\nAnswer: -2\/3, -1\/5, 1\/4, 5, 1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -15 (c) -2\/9 (d) 24 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sevenths of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6842570 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3\/3 - l + 39. Determine o(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l**2 - 12*l - 10. Does 3 divide j(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1924*r**3 + 31*r + 14. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120129?\nAnswer: 3, 23, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 64*z + 835. Calculate n(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**3 - 32*k**3 + 11*k + 62*k**3 - 11*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16480, -66137, -148900, -264769, -413744, -595825, -811012?\nAnswer: -1059305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 493? (a) -3 (b) -0.001 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 10.9999866. What is w rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/5 + 263312432*i**2\/5 + 8666679605719328*i\/5 = 0 for i.\nAnswer: -65828108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6770 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 20, -20 = -15233*a + 15237*a + n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41517537 a multiple of 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 49 (b) 8 (c) 525 (d) 1 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 6*a**5 + 2*a**2 + (0*a**5 - 4*a**5 + 2*a**5 + (-4*a + 5*a - 3*a)*(5*a**4 - 4*a**4 + a**4))*(-1 + 6 + 0).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 4*x + 3. Let n(i) = -4*i**2 + 3*i + 2. Let b(z) = -4*n(z) + 3*q(z). What is the units digit of b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1786623460 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 18*w**3 + 118 + 43.\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -30\/133 (b) 9\/53 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49496207 a multiple of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009962 rounded to five decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -0*d - 4*d. Solve 0*t + d = -4*t - 4*j, -5*j = -2*t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6*3 - (-1045)\/(-22). Let r = m + 62. Calculate the remainder when 57 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.798524+4574\nAnswer: 4586.798524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 5, -4, -0.038?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 856 - 2590\/3. Let t = 7 + -2. Suppose q + t*s = 27, -5*q + 59 - 4 = 5*s. Find the common denominator of q and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 246835 and 246836 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 10*g. Suppose -o + 3 = -g*o. Let p = 63 - 43. Solve p = -7*d + o*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.078.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 146. Determine p(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -111569\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (15\/(-30))\/(6\/(-151188))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/2*316\/3950?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 402*m + 1628. Let i be d(-116). What is the highest common divisor of i and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 10*g**2 - 2*g + 2*g to q*g**2 + x + i*g and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 0*o**3 - 100424*o**2 + 3*o**3 + 100424*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*g, -738*w = -741*w - g + 648. Calculate the remainder when w is divided by 62.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1933836*r**2 + 1663818*r?\nAnswer: -3867672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((-4)\/(-18)*-6). Factor -3\/4*d**2 - 27\/4 + b*d.\nAnswer: -3*(d - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 84670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -15 (b) 5 (c) -1.7811\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*p + 535 - 189 - 41 = -1214 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*l**2 - 1 - 2*l**4 - 2*l + 0*l + 61*l**2 + 0 + 46*l**2 to t*l**2 + k*l**4 + f + w*l**3 + b*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 > -7\/22539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/81*3\/36*4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53100.4 to the nearest 100.\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 10) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312 - 318. Let k(i) = -i**3 - 6*i**2. What is k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b504 (base 16) to base 13\nAnswer: -3bbcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -1\/6*b**3 + 0 + 7*b + 1\/2*b**2. Let v be 4\/(-1 + 1 - -2). Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 10. Let r be k(5). Solve -2*h - r - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3336 by 24.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i**5 - 16497560*i**4 + 1080848915*i**3 - 17428031455*i**2 - 8917705995*i - 1123221825 = 0 for i.\nAnswer: -206285, -1\/4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6*n = -581. Let j = n - -41. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = -2*g + 5*q, 5*q - 3 = 7. Let z = 255 + g. What is the remainder when 154 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 4) + -11 + 10 + 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 39*w + 4. Let v be s(3). Does 5 divide v + (4 - -1) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5634*i**3 - 1 + 3 + 5609*i**3.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1094191278 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -1303 + 1223, -2*q + 3846 = -96*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 45*z**2 - 103*z - 6254. Give m(-47).\nAnswer: 3005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25404.07 - 25302. Let s = 102 - g. What is the fourth smallest value in 0.5, s, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-9 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13911 and 84054899.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*r**3 - 240*r + 484*r - 2*r**4 - 241*r + 40*r**2 wrt r?\nAnswer: -48*r - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.24 - -22.5. Let v = 0.74 - o. Let f = 53 + v. Which is smaller: 1.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a + 104. Let q = a + -1. Calculate the remainder when 34 is divided by (q\/(-2) - 1) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + -2c?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 l when three letters picked without replacement from {t: 8, l: 4, u: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/7, 0.2, -22, -4, 2\/9, -0.5 in increasing order.\nAnswer: -22, -4, -0.5, 0.2, 2\/9, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41272, 82456, 123640?\n\"Answer: 41184*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 352*o - 6729. Is w(-140) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.1 (c) -5\/21 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948019093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 10. Let x = -24 + 14. Let j be n(x). Differentiate o**4 + 2*o**2 - 2 - 2*o**2 + j*o**4 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -121*g + 3895. Let t be c(32). Let n = -79 - -125. Calculate the highest common divisor of n and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80552960?\nAnswer: 2, 5, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 - 872752*l + 95212006688 = 0 for l.\nAnswer: 218188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -70093 and -285894?\nAnswer: 215801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11318 (b) -5 (c) -708 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -100, -1, 0.2, -0.4, 0.3, 0.1821?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23320, -23281, -23232, -23179, -23128?\n\"Answer: -n**3 + 11*n**2 + 13*n - 23343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 35*l**3 - 2. Let m(x) = 35*x**3 + x**2 - x - 3. What is -2*m(u) + 3*p(u)?\nAnswer: 35*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 72*n + 2. Let o(j) = -13*j**2 - 144*j - 3. Calculate -7*f(v) - 4*o(v).\nAnswer: 3*v**2 + 72*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95097091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5 - 1. Solve 0*n - n - z = 4*f, -2*n = -f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012112111122 (base 3) in base 5?\nAnswer: -244444441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = k - 6, -k + 6 = -5*t - 0. Suppose 0 = 5*w + 3*m - 12, 2*m + 0 = 5*w + 8. Suppose w = x + x - 18. What is the remainder when x is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-51)\/2)\/((-10)\/100). Suppose 4*c - 3*w - 327 = 0, 5*c + w = 2*c + y. Calculate the greatest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33649872617.0001391 - -33649870624. Let r = 1993 + q. Round r to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 6027244.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 537 = c, 7*c - 1074 = 9*c + 3*s. Let k = c - -908. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q*t**3 - 4*q - t**3 - 27*t**2 + 36 wrt t?\nAnswer: 3*q*t**2 - 3*t**2 - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. Suppose 0 = -o*g + 4*c, -3*c + 0*c + 10 = 2*g. Let l be (-27)\/36 + g\/(-8). Sort 15, l, -3 in decreasing order.\nAnswer: 15, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(396)*4*5)**2.\nAnswer: -158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 20 - 18 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 40*n**2 - 11*n - 10. What are the prime factors of y(-3)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03037109927 to five decimal places.\nAnswer: -0.03037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 45*f + 560. Let n(i) = -i**2. What is b(n(k))?\nAnswer: -45*k**2 + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + 5\/((-180)\/(-64))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-11 - -13)\/((-2)\/(-27)) and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from jzzaazzjzzjjzazaz?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/20 - (-2)\/(-5). Suppose -4*q + 12 = 4*m, -3*m + 10 = 6*q - 4*q. Solve g = 4*d + m*b, -5*b = -3*d + 11 - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426516391*c**2 - 408513007*c?\nAnswer: 853032782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a + 31. Let u be h(4). What is the greatest common factor of 621 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1232*i + 1230*i - 3*z - 23, -1 = 4*i + z. Let b(h) be the second derivative of 0 + 1\/4*h**5 - 8*h - 1\/6*h**4 + h**i - 5\/6*h**3. Factor b(f).\nAnswer: (f - 1)*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11617552?\nAnswer: 2, 726097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18246287 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*i + 7569*i + 70*i.\nAnswer: 7843*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*g + 589 = 0, -4*g = -37*d + 36*d - 125. Let s = -12 - d. What are the prime factors of s?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/210 - 15*v**4\/28 - 48*v**3\/7 - 2364*v**2. Let r(f) = 0. What is f?\nAnswer: -3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19)\/(-19))\/(1 + 0). Let p be (2 - d)\/((-21)\/(-49)). Factor -1\/6*q**5 + 1\/3 + q**4 - p*q**3 - 3\/2*q + 8\/3*q**2.\nAnswer: -(q - 2)*(q - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 2480\/9 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 11. Let g be 4*(2\/20)\/((224\/360)\/14). Give o(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-13\/4)*(n\/(n**2\/n)*n*n)\/((n\/n**3*n)\/n)*(n**(-1)*n*n)**17\/(((n\/((n*n\/(n\/n**0*n))\/n))\/n)\/n**5) assuming n is positive.\nAnswer: n**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49 + -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*t - 30, -4 = -3*t + 5. Let k(r) = r**3 + 11*r**2 + 9*r - 5. Let d be k(-10). Sort d, o, 2, 0 in ascending order.\nAnswer: o, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31755 + -32417. Which is smaller: i or -648?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -7*g - 194005. Let b = -15200 + g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*t - 4 + 8, -2*g = 2*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803890.\nAnswer: 2, 3, 5, 93463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 31 - (-10 + -10 - (41 - 48))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = 0, 0*o + 7 = 3*f + 2*o. Let n(y) = -5*y - 1. Let a be n(f). What is the common denominator of -87\/2 and 5\/25*a\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010632506071 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.6 and -187.\nAnswer: 1234.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k**4\/3 + 1664*k**3 + 4966*k**2\/3 + 310*k = 0. What is k?\nAnswer: -155, -3\/4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 1. Let x be w(-3). Suppose 155 + 181 = x*j. Suppose 9 = -g + j. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292.9999749 + -293. What is t rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 2*t**5 - t**2 + (-2*t**3 + 0*t**3 + t**3)*(-3*t**2 + 0*t**2 + 2*t**2) - t**3 - 2*t**5 + t**3 + (-1 - 2*t**4 + 1)*(49*t - 30*t - 27*t).\nAnswer: 17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1645168 by -44464.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*z + 245 + 100, -q = -3*z - 87. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37403154 is divided by 265?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((2 - -5) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4*w)**(2\/43)\/(w**12*w**(-1)))**(1\/12) assuming w is positive.\nAnswer: w**(-461\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -a2c3d?\nAnswer: -a2c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 + (-6)\/4. Let k(z) = z**2 - 1. Let j be k(b). Suppose 2*a + 3*v = 166, -3*a + 320 - 71 = -j*v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhttsthtmvtmttvts. Give prob of sequence smm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5544000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 10*s**2 - 7*s - 13. Let t be w(9). Suppose -5*n + g = -2*n - 1, -t*g + 21 = -2*n. Factor -i + 10*i**n + 4*i**3 + 4*i**2 - 3*i - 14*i**4.\nAnswer: -2*i*(i - 1)*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 45. Let c = 35 - 9. What is the remainder when c is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.5 and 38159?\nAnswer: 38157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 43, 52, 55, 46?\n\"Answer: -r**3 + 6*r**2 - 2*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - 7. Let t = -91 - x. Let z be (-4)\/t*9\/6. Which is the second biggest value? (a) 2\/5 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -5*n - 2*w - 353, 4*n - 4*w = 88. Suppose -d = -4*i + 3365, d = -6 + 1. Calculate the least common multiple of i and n.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15841481*i**2*v**2 - v**2 + 106*v + 17303 with respect to i.\nAnswer: -31682962*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61789 is divided by 794?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/4)\/(-3)*(-50)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -232, 0.14, -3\/22, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*((j - 2 + 2)*(-3*j + 4*j - 4*j) + j**2 + j**2 - 4*j**2)*(-4*j + j - j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*s - 5*d - 17 = 0, 3*s + 4*d + 19 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 87*x - 1. Let j be f(0). Put j, -4, 9, 3, -3 in decreasing order.\nAnswer: 9, 3, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**2 - 2*k + 2. Let p(i) = -49*i**2 + 2*i - 28. Let v(q) = -4*l(q) + p(q). What is v(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/4 + 7)*194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133560261 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7429*p + 189487 + 273105 = 106000 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*p = 465, -4*b - 631*p + 628*p = -619. Calculate the remainder when 14286 is divided by b.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*v - 21, 6*v - 4*v = -3*s + 3. Suppose 5*j - 24 = -2*t, -5*t + 0*j + 60 = -5*j. Let m = t - v. Calculate the greatest common factor of m and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40298653*m**2*s**4 + 16887*m**2*s**2 + 266*m**2*s wrt s.\nAnswer: 967167672*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 5 (b) 12 (c) 0.4 (d) -0.4 (e) -1\/178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 3 - 8*z**2 - 4 - 4*z**3 + 7*z. Calculate the lowest common multiple of (-21)\/(-2) - 2\/4 and d(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 115644564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*k - 332, 840 = 5*k - 0*q + 5*q. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 926 + -521. Let i = 250 + x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*2*-2132*(-116)\/95120.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.52 and 0.001.\nAnswer: -0.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 751.1 + -750. Are 2.5 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11716 times 0.4\nAnswer: -4686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 18 = -v. Suppose -d + 387 = -4*h, h + d = 2*d - 99. Does 16 divide h*(-3)\/(v\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 greater than 356\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -0.2 (c) -109 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 2, 5*h - 51 = 3*k. Suppose n + 2*d + d + 8 = 0, 0 = -4*n - 3*d - 32. Let f = h + n. Solve -21 = -f*q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*16\/1584*-3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*r + 2*r. Suppose 0 = -r*q - 3*q + 54. Suppose -q*h + 5*h + 108 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2608.9.\nAnswer: 260.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2355 - 2392 - (0 - (4 + -1 + -1 + -6)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 602?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 13*y**2 - 9 + 5*y - 11 - 7*y + 5*y. Let u be a(-11). Suppose -5*s + u = -361. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 67. Let s be g(5). Put -4, s, 1\/8 in ascending order.\nAnswer: -4, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20060 and 19720?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1025 and 3895.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126609, -126624, -126639, -126654, -126669?\nAnswer: -126684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42729511*j**2 - 51255437*j wrt j.\nAnswer: 85459022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 + 5355\/90)\/((-5)\/30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*s + 520*s = 229*s + 1484. Calculate the least common multiple of 0\/(3 + -2) - -1 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, -495, 2, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8178 and 4234?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 + 3 = 5*b, -b + 4 = 2*m. Suppose 4 - b = 2*s. Is s <= 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69128011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2, x - 2*d = 4*x - 17. Suppose 0*b = -5*b - x. Is b not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/((-90)\/(-216))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/(z\/(z*z**(-12))*z*z))\/(z**15\/z**4))**(1\/2) assuming z is positive.\nAnswer: z**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220100110101 (base 3) to base 15.\nAnswer: 97027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:10 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 40, -0.2 in ascending order.\nAnswer: -0.5, -0.2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -77.4. What is the second smallest value in 5\/3, -1\/7, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -1\/4, -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 516 + -1?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71991 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-12)\/(-30)*4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -5*u, 2*u - i - 1 = -2*i. Let h(s) = s**3 + 7*s + 2. Let x(r) = r + 1. What is u*h(q) - 4*x(q)?\nAnswer: q**3 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c09 + 5?\nAnswer: -4c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**4 + 3*o. Let f = 1 + 2. Let t(a) = 3*a**4 + 7*a - 1. Let z(p) = f*t(p) - 7*r(p). Differentiate z(b) with respect to b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**3 - 152*p**2 + 106*p + 52 = 0. Calculate p.\nAnswer: -26, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2 + 1\/3*k**3 - 3*k - k**2. List the prime factors of g(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00286822 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7626 by -62.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -23.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6405 divide 57340585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/210)\/(3\/14) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gclc when four letters picked without replacement from rclgrrrrercgc?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Solve 5*g + 1 = 3*l + u, -4*l = 4*g - 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01617456947 to six dps.\nAnswer: 0.016175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4.86.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*n**2 + 1 - 1)*(-2*n**2 - 3*n**2 + 6*n**2) + (-5*n**4 + 2*n**4 + n**4)*(3 - 6 + 4))*(-113*n - 119*n + 137*n).\nAnswer: -285*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 25*c**2 + 3*c. Let a(s) = 175*s**2 + 20*s. Give 3*a(t) - 20*z(t).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*q - 56*q + 12. Find the third derivative of -2*f**6 + f**2 - 11*f**2 + q*f**6 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0405 + -23.1405. Let x = -23.09998845 - o. What is x rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 106194*w**4 + 7874787*w**3 + 106194*w**2 - 7874784*w = 0 for w.\nAnswer: -35472, -1, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 + 8*m**2 - 8*m**2 + m**3)*(-32 + 32 - 11*m).\nAnswer: 44*m**5 - 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 138 + 26*x - 280 + 140 + 5*x - 7*x**2 + 10*x. Let p(v) = -v**2. What is f(p(l))?\nAnswer: -7*l**4 - 41*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y**3 + 1157*y**2 + 9976*y + 8853 = 0 for y.\nAnswer: -681\/34, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076983693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -64. Let h(w) = w**3 + 3*w**2 - w. Let i be h(-3). Sort -1, i, j, -5 in increasing order.\nAnswer: -5, -1, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))\/k**7)\/((k*(k*(k*k**(-8))\/k*k*k)\/k*k)\/k*k*k**8) assuming k is positive.\nAnswer: k**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156747 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*j - 9 = 0, 0*y + 4*y - 5*j - 2 = 0. Suppose 6 + 0 = -2*z, 0 = y*k + z - 12. Suppose -111 = -k*g + 59. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from qqrqrqqqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9343327.1 to the nearest 1000.\nAnswer: -9343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -20. What is the second biggest value in v, 0.4, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhwwwmmmh. What is prob of sequence wmw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*(-12)\/45. Let z(u) = -u**3 - 5*u**2 - 5*u - 4. Let c be z(-4). Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:02 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4079 + -4\nAnswer: -4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -513.1 (b) -1\/9 (c) -0.5 (d) -14 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -163.7 greater than 0.042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817910848 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37203 is divided by 1226?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppli when four letters picked without replacement from {i: 1, p: 2, d: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 4 in descending order.\nAnswer: 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 137. Suppose -4*u + 0*u + 16 = 0. What is the least common multiple of u and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 46. Let g = o - -12.1. Let p = -133 - -793\/6. What is the nearest to g in -1\/5, -3, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-7))\/y)\/y**(3\/5)*(y*(y*y**8)\/y)**(5\/3) assuming y is positive.\nAnswer: y**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 7*o - 2. Let j(u) = -3*u**2 + 8*u - 3. Let c(l) = 3*j(l) - 2*m(l). Let w be c(9). Solve 0 = -6*t + w*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001926305 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-12 - 1 + 2 - 2 + 0 + 1 + (4 - 1 - 1)*(2 + 2 - 5) - 1 - 1 + 1)*(-6*w**2 + w**2 + 0*w**2).\nAnswer: -150*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2506058 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from ccacvcgssvvcaag?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/2*w**3 + 45*w - 9\/2*w**2 + 0*w**5 - 13\/6*w**6 + 0 + 0*w**4. Find the second derivative of s(t) wrt t.\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m)**45\/(((m\/((m\/m**8*m)\/m))\/m)\/(m*(m*m**4)\/m)) assuming m is positive.\nAnswer: m**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460\/21 or -22?\nAnswer: -460\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - v**4 + 2*v**4)*(-9312 + 9312 - 536*v) + 6*v**5 + 0*v**5 - 5*v**5.\nAnswer: 1073*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 - 103.\nAnswer: -102.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x - 32. Let z(l) = 8*l + 20. Let g(v) = 5*b(v) + 8*z(v). Let r(j) = 151*j**2 + 2*j. Determine r(g(n)).\nAnswer: 2416*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6080293 by -1.\nAnswer: -6080293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 14*c**2 + 9*c + 52. Let m be u(13). Suppose 6*b - 7*b + 10 = m. Calculate the greatest common divisor of 270 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/(-12))\/((-138)\/48)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times 190961?\nAnswer: -10693816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24144 - 24146. What is the closest to -4 in -2\/7, -10\/67, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 times -3.792?\nAnswer: 1050.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220200 - -110?\nAnswer: 221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 + -2 - 30) + (3 - -3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 2*r - 247, 5*r + 78 = p. Suppose 5*k = -4*t + 170, -2*k + p = -4*t - 13. Calculate the remainder when 188 is divided by k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-130) + 1148\/(-26). Let i = -26 - c. Find the common denominator of 5\/i + 4 + -1 and 1\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-4 - -1)*1. Suppose -o*y = y. Let d(g) = -77*g**2 + 613*g + 21. Let n be d(8). Which is the closest to -4? (a) -2 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65360.4303525 and 2.5.\nAnswer: -65357.9303525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 43*a**3 + 16*a**3 + a - 4*a**3. What is the units digit of y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14409 and 469305933?\nAnswer: 4803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(81\/(-6) - -15). Which is smaller: w or 58\/25?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16092, -15825, -15544, -15243, -14916, -14557?\n\"Answer: a**3 + a**2 + 257*a - 16351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + (-5 - 0) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 15*h**2 + 666*h + 5697. Give s(-9).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {u: 2, e: 5, r: 9}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 + 221. Let j = -27 + 18. What is the remainder when 41 is divided by 2\/j - l\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -85. What are the prime factors of (66\/(-4))\/(o\/(-24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7188456629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:55 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27338838*h**3*i**3 + 5*h**2*i**3 - 3*h**2 - 2122*h*i**2 - 147*i**3 wrt h?\nAnswer: -164033028*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 8, 3*d - 4 = b + 2*d. Let a be 6\/b + 14102\/8. Let z = a + -585. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.1 (c) 500 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*-5*12\/75.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 2, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-265)*287 + (-13 - -7). Let m = 146\/159 + o. Let -2\/9 + 5\/9*c - m*c**2 = 0. Calculate c.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 2, -15, 0, 1615 in increasing order.\nAnswer: -15, 0, 2, 175, 1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-12) + (-2)\/(-3). Suppose 2*v = 68 + 88. Let a = -76 + v. Solve x = -w + a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o**2 + 4*o + 3. Calculate b(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/4)*m)\/m)**(-34)\/((m\/(m\/m**(2\/5)))\/m**(-2\/9)) assuming m is positive.\nAnswer: m**(-5411\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13205967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1909, 3828, 5747, 7666?\n\"Answer: 1919*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 11389*l - 56913. Calculate g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-130)\/4*16\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -21. Let d be -3*4\/l*-4. Suppose d*u = 5*u. Solve 0*x - x + 1 = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/33972 and -173\/5462340.\nAnswer: 103784460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9436.678 and -0.2.\nAnswer: 9436.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 + 36*t**2 - 1012*t**3 + 1299*t**3.\nAnswer: 287*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 + 42*o. Let k(m) = -m**3 - 2*m**2 + 42*m. Calculate -2*d(u) + 3*k(u).\nAnswer: -u**3 + 42*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 2*d. Let q be a(-3). Let l(i) = -1 + 0 - 12*i + q*i + 0. Let k(n) = 8*n + 1. Determine 7*k(w) + 6*l(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -95 - 175. Let w = b + 632\/7. Solve -10\/7*o**5 + 0 - w*o**3 + 0*o + 16\/7*o**4 - 4\/7*o**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (550\/440)\/((-3)\/((-18)\/10)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159126053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let b(x) = -3*x - 3. Let k(v) = -3*b(v) - 12*z(v). Let u(o) = 11*o - 1. Let i be u(1). Calculate k(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 3 + 5 - (-3 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1483502807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*r + 11*r + 11*r + (2 - 1 + 0)*(4 + 67*r - 9 + 220*r + 5).\nAnswer: 276*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 211, -6, -4, -74, 3, 5.\nAnswer: -74, -26, -6, -4, 3, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010704192?\nAnswer: 2, 3217, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1799 and 1484084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s**2 + 2 - s + 3*s**2)*(1400 - 685*s - 1400).\nAnswer: -2055*s**3 - 685*s**2 - 1370*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-16 - 66) + 35)) + (-15 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjhcch. Give prob of sequence jcz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + -10 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * 334.\nAnswer: -17368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3648, 7013, 10366, 13701, 17012, 20293?\n\"Answer: -c**3 + 3372*c + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5\/2, -29, 2\/15, -17, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 82590 to the nearest one thousand.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v**3 - 2*v - 5 - 27*v**2 + 18*v**2 + 10*v**2 - v**3. Let n be l(0). Let y = 2 + -1.7. What is the second biggest value in y, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2. Let a(y) = -694*y**2. What is s(a(d))?\nAnswer: -963272*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 47088*s.\nAnswer: 3*s*(s + 15696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-44)\/385 - 54\/28?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p + 148. Give q(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 25 (b) -0.19 (c) -17 (d) 3\/7 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:14 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*n**3 + 93*n**3 - 185*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-2))\/(1 - (-7)\/(-8)). Suppose q*l - 102 = 65*l. Let u be 63\/l + (2 - 32\/17). Is -0.5 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 0. Let w be (-52)\/(-2)*(-1)\/2. Let h = -10 - w. Solve -h*q + 3 = -i*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 25*y + 48. Let b be a(12). Calculate the greatest common factor of b and 1410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 47112*o + 872. Let z be m(19). What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2040394, 2040393, 2040392, 2040391, 2040390, 2040389?\nAnswer: 2040388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v. What is t(5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 12, 0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -347, -361, -385, -419, -463?\n\"Answer: -5*q**2 + q - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = 35*o + 195. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(sqrt(3087)*2 + sqrt(3087) + sqrt(3087) - sqrt(252)\/(sqrt(16)\/sqrt(4)))\/(sqrt(324) + sqrt(9) + (sqrt(225)*1 - sqrt(225))).\nAnswer: 135*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -641 and 3.8?\nAnswer: -2435.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 277*p**2. Let y(l) = 16*l - 18*l - 16*l - l**2 + 18*l. What is h(y(x))?\nAnswer: 277*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -222)*(-2)\/4. What is the greatest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7418300 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 9*j**2 + 25*j - 33. Let y(l) = -3*l**3 - 8*l**2 - 28*l + 35. Let w(o) = 4*g(o) + 3*y(o). Determine w(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:24 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21\/298 + -10411\/2384. Let g = 125965\/144 - 7816\/9. Let a = -49\/8 + g. What is the common denominator of w and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 134. Suppose 9 = 3*s + 2*i - f*i, 5*i + 25 = 2*s. Solve -3*u = x, -5*u = -s*x + 9 - 29 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/116 (b) 83 (c) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(4*v**5 - 5*v**5 - v**5).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 5243984*y + 3437421024032.\nAnswer: 2*(y - 1310996)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**7\/14 + j**6\/10 + 9*j**5\/20 - j**4\/4 - j**3 - 64*j - 1. Find b such that d(b) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -20 + 24 + 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4620 and 312900.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - t - 10 = 0, -2*t = -7*l + 3*l + 16. Let q(x) = -x**2 + 10*x - 12. Let h be q(8). Suppose 0*y - y + h = 0. Solve -6 = -l*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-1)\/(34\/17). Let j be (g\/((-45)\/6))\/((-20)\/(-25)). What is the smallest value in 3\/7, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 82 = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632 a factor of 7350097152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-8)\/3. Find the common denominator of 33\/8 and 11\/u + (-2)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - (-183 + 125 + 187)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let t = -0.4 + 4.4. Let x = 18 - 13. What is the nearest to g in x, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 27*j + j**2 - 27*j + (-3 + j + 3)*(3 - 3 + j) + 5*j**2 - 6*j**2 + 3*j**2.\nAnswer: 4*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 137*2\/10 + (-2)\/5. Let p = 29 - c. Suppose -o = q - p, 0*q + 10 = 5*q - 3*o. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*4*sqrt(320) - ((sqrt(605) + -1 - sqrt(605))*1 + sqrt(605) + 0)**2.\nAnswer: -610 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 7?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 27. Let m = 61 - p. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (415 + -427)*(-7)\/(-154). Let z = 0.89 - 0.8. Is z >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 9*t + 455. Factor 182*r**2 + t*r - 70 - 89*r**2 - 88*r**2.\nAnswer: 5*(r - 1)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) + (-2216)\/(-20). Let x = q + -33. Let v = -75 + x. Solve 5 = 4*h + 3*r, -2*h - h + v*r - 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -578 - -581. Calculate the least common multiple of f and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953097 is divided by 10586.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from {o: 5, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/19)\/x*x*(x**(-3)\/x)\/x*x)\/(x**3\/(x**(-2\/7)\/x*x)))\/((x**2\/(x*x**(-5)\/x))\/(x\/(x\/(x*x\/(x**0*x)*x)*x)*x*x*x**(3\/5))) assuming x is positive.\nAnswer: x**(-6371\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4346266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsttataatssat. Give prob of sequence stts.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.372622 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*w**4\/7 + 816*w**3\/7 + 328*w**2\/7.\nAnswer: -2*w**2*(w - 82)*(5*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -j + 122, -5*j + 0*b + 2*b + 646 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-4 + 3 + 2)*(8388*r**3 + 91*r**4 - 8388*r**3).\nAnswer: 91*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.5 + -32. Let k(l) = l + 7. Let h(z) = z**3 + 3*z**2 - 2*z - 2. Let n be h(-4). Let y be k(n). Which is the closest to 1? (a) -1\/11 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1842691, 1842694, 1842699, 1842706?\n\"Answer: b**2 + 1842690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/717562 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.8. Let y = -0.2 + g. Suppose -12*k - 1204 = -1144. Which is the third smallest value? (a) y (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/2016*36*(-13034)\/76\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Suppose -9 = t - 4*w, -2*t - w - 6 = -5*w. Let q be 3*t\/18*8. Give b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w - 465864 = -116*w. What is the highest common divisor of w and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 18. What is the closest to 0 in 5, -6, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2590 = 3*n + 11*n. Suppose -n = 3*o - 8*o. Suppose -4*w + o = -31. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2155984469 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exevssxexehxhxxvx. Give prob of picking 1 x, 1 v, and 1 h.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*v - 2, 0 = -4*k - 3*v + 2 + 44. Is k at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 11 = 0. Let f be (-3)\/12 - (-9)\/4. Suppose 3*g = f*r - 71, -5*r + 0*g = -4*g - 167. What is the remainder when r is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 11*u**7\/420 - u**6\/360 - 2*u**3\/3 + 2. Let w(v) be the third derivative of f(v). Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 12. Solve c*y = -y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/4 + (-2)\/4. Let p = m + -24. Is (-375)\/p + (-1)\/(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-6))\/(7\/(-126)). Solve -z*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22684848 a multiple of 848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 35*t + 33. Determine c(-5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 50*l + 1442. Determine m(-45).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 34*g = -1080. Let r = g + -43. Calculate the remainder when 113 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 9\/(-2). Suppose 5*p = l + 51. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1 + 3*b + 2 - b**2 - 2. Calculate the remainder when (6\/(-15))\/(2\/(-10)) is divided by q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 4. Let r(x) = -3*x + 2. What is -4*c(y) - 9*r(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 8*c**2 - 8*c - 12. Give n(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 1894872.\nAnswer: 28423080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*h - 21, 2*h - 6*i + 9*i = -13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50292 and 678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 935176.4 decades in centuries?\nAnswer: 93517.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61c0 + 325?\nAnswer: 64e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 239494255 to the power of 1\/2, to the nearest integer?\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -840*g - 1. Is w(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327580783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 115 = -5*w + 2*s - 142, 50*w - 4*s + 366 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30498\/(-276)*(-2)\/13.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -57\/20*t**5 + 0*t**4 - 1\/6*t**3 + 0 + 13*t + 19\/2*t**2. What is the second derivative of x(q) wrt q?\nAnswer: -342*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23688\/(-62) - ((-215)\/(-6665))\/(2\/(-4)). Which is smaller: -339 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 13*a - 1140. Let y be w(-21). Let i(q) = 8*q - 3. Let s be i(6). What is the highest common divisor of y and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 1, -4, 8 in increasing order.\nAnswer: -4, 1, 8, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - p**2 - 146*p + 5*p**2 + 242 + 242 = 0. Calculate p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(0 + 2) + (7 - 8). Let f = c - -45. Calculate the greatest common divisor of f and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 155*f - 1646. What is j(-165)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*w - 15*g**2 + 12*g*w - 10422*w + 1 with respect to g.\nAnswer: 8*g*w - 30*g + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 5900237.\nAnswer: 11800474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -319754 + -4.\nAnswer: -319758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163 and -4.\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:02 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2\/9 + 784*k + 2159120\/9 = 0 for k.\nAnswer: -1370, -394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/9))\/o*o\/(o\/(o**(-4\/9)\/o*o*o)))**(-46) assuming o is positive.\nAnswer: o**(-322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 12:53 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.7 + -14. Which is the closest to 1? (a) v (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 + 44*a + 35. What is g(-6)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.16411 - 0.03589. Which is the third biggest value? (a) -1 (b) -3 (c) -1\/2 (d) -0.4 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8353 = -n - 3*n, 6668 = 4*k + 4*n. Suppose -14*g - k = -15*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120380.\nAnswer: 2, 5, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 56.83905 kilometers?\nAnswer: 56839050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2798286, 2798260, 2798206, 2798118, 2797990, 2797816?\nAnswer: 2797590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -2\/9, 4, -5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 114*r + 88*r - 2743 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 1. Calculate z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -150*k**2 + k. Let n(p) = 23*p. Determine l(n(a)).\nAnswer: -79350*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2288\nAnswer: 1\/2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b - 1. Let d(y) = -y**4 + 4*y**3 + 3*y**2 - 4*y - 7. Let u(n) = 2*d(n) - 10*s(n). Factor u(h).\nAnswer: -2*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((-4 + sqrt(500)*-1 - sqrt(500))**2 + sqrt(500)) - -2*-6*(0 + sqrt(80) + sqrt(5) + (sqrt(45)*1)**2).\nAnswer: -12634 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18903 and 2.9.\nAnswer: -18900.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.38 or -8?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/20 - (-4 - (-36)\/16). Suppose 2*a = 4*a - x*v - 680, 0 = -2*a + 5*v + 668. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1204 - -2129. Suppose 3535 = -3*o - t, 5*t + k = -3*o - 2590. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2128238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:58 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 270. Solve 3 = -3*a - 2*c - 22, p = -5*a - 3*c - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from jjrjrjjjjjj.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/4, -31, -2\/7 in descending order.\nAnswer: -2\/7, -3\/4, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/110)\/((-45)\/(-120)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3818355, -3818353, -3818351, -3818349, -3818347?\nAnswer: -3818345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 83 = -17. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 - -144. Let l = 0.5 + t. What is the nearest to -2\/9 in -7, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2606835*d**2 - 5*d - 355986 wrt d?\nAnswer: 5213670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 1728642*k**2 + 1728640*k = 0.\nAnswer: 0, 1, 864320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 2*t + 2. Let x be l(2). Suppose -z + 4*d = -x, -4*z - 2*d = d - 62. Let q be -2 - 2\/(-4)*z. Solve -1 = 3*n - b, 7 = -q*n + 4*b - b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5097 + 5119. Calculate the highest common factor of 1408 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -212, -253, -324, -425, -556?\n\"Answer: -15*c**2 + 4*c - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 27. Suppose 64 = -3*t - x*t. Is 17 a factor of (t\/(-6))\/(8\/288) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 + -4 + 4 + -20 - 9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 10*g + 185. Which is smaller: g or -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/3298002 and 23\/3298002.\nAnswer: 3298002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252738.\nAnswer: 2, 3, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, s: 1, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592 = 1494*r - 1398*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304099 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 91, -29, 1, 5.\nAnswer: -29, 1, 5, 65, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3\/2 - 162321*t**2 - 72181413*t\/2 - 2004059934 = 0.\nAnswer: -111, 108436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/36 and 103\/104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269 + -185. Suppose f*z - 270 = 75*z. What is the remainder when 56 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:53 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.264 + 119.264. Let z = 119 - s. Suppose 5*q - 2*q - 21 = 0. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628632?\nAnswer: 2, 3, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Suppose -5*y - g - i*g = -101, -3*y + 3*g = -39. Suppose 4*b = -5 + y. Solve -b*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*k + 2*k - 2*k + 3*k + k + 0 + 0 + (-3*k + k + 0*k)*(0 - 1 - 1) + 0 + 0 - k + (4 + 3 - 4)*(-4*k - 84 + 84).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -4\/7 (c) -21762 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21142865 and 2825.\nAnswer: 105714325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*f + 6 = 346*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*p - 12 - 32 + 19 - 13181*p**2 + 2 wrt p.\nAnswer: -26362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5248\/(-15744))\/(14\/(-12)*-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(12\/(-9))*-8. Let c = n - -11. Is c greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 180. Let k(a) = -1955*a**2 + 652*a**2 + 652*a**2 + 649*a**2. Give d(k(m)).\nAnswer: 12*m**4 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 0 + 52 - (0\/(-16) + 5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/16)\/((-1)\/1772) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from tqqqtqqt?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 61 = 3*f. Suppose 10*t = f*t. Calculate the remainder when (-2)\/(-8) + t - 161\/(-28) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13672727389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, 0, 442 in decreasing order.\nAnswer: 442, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r = 47297 - 7037. Calculate the highest common factor of r and 1586.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 83?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 186862500 to the nearest one million.\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 + -251.5. Let x = c - -23. Put x, -2\/9, -3\/13 in decreasing order.\nAnswer: x, -2\/9, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -58*h - 142. Let s(c) = -112*c - 285. Let a(n) = -13*q(n) + 6*s(n). Is a(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 5, 0, -7, -16, -27?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2051.94682 - 0.05318. Which is greater: -1\/2 or o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 4*d**2 + 4*d**2 + d**4 + 5*d**4 - d**4 + (-3*d**2 - 3*d**2 + 3*d**2)*(2*d**2 + 2*d**2 - d**2).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*18*(-40)\/(-90).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l - 3*l)*(-4 + 5 + 1) + (-l + l - 2*l)*(-2 + 1 + 0) + 4*l - 2*l - 3*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 64657.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 - -11) - 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 651, 1276, 1905, 2538, 3175?\n\"Answer: 2*o**2 + 619*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46491, 47016, 47879, 49074, 50595?\nAnswer: 52436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 49823 - 49823.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 b when four letters picked without replacement from {c: 11, b: 7, f: 1}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + 14*w**4)*(-1 - 1 - 5*w + 4*w).\nAnswer: -14*w**5 - 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*60\/18. Let g be (h\/3 - 1)*3. Solve -4*o - 12 = -2*p + g, -3*p + 1 = -o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 10)*(-4*w**5 - w**5 + 0*w**5 - 4*w**5 + 2*w**5 + w**5 + (w**5 + 3*w**5 - 2*w**5)*(-1 + 0 + 0)).\nAnswer: 80*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 5:46 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2023*p - 8030*p + 14399*p in the form z*p + v and give z.\nAnswer: 4346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2968*i**2 - 2*i. Let r(q) = -2951*q**2 - 3*q. What is -3*p(n) + 2*r(n)?\nAnswer: 3002*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 6) in base 8?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-1)*(-4)\/2. Suppose -4 = 2*z - 26. Calculate the smallest common multiple of (-3 - h) + 4\/(-2) and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*w + 26 + 2 = 0, w = -4. Let l be 0 + n + -2 - -2. Solve -3*k + 3 = -5*a - 2*k, -l*a = -k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 29*o - 60. Give a(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 487242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -236? (a) 2\/45 (b) -13\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 0*n**3 - 1565*n - 36*n**2 + 6*n**3 + 1565*n - 69. Find the second derivative of m(s) wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)\/d*d*d**8)\/(d*(d\/(d**(1\/8)*d)*d)\/d*d\/(d\/d**(-5))))\/((d**9\/d)\/d**(-14))**(-2\/25) assuming d is positive.\nAnswer: d**(2827\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249783 and 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h - 3. Give d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:39 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 5*q, -3*q + 18 = -2*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*v + 2 = 5*u, -v + 11 = 5*u. Let w(q) = -9*q + q**u + 10 + 2 + 0*q**2. Let k be w(8). Solve -5*j - 31 = -k*n, 2*j + 4*n - 2*n = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7ab (base 15) to base 9\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(77) - (sqrt(77) - sqrt(77)*2*-2))*2*5)\/((sqrt(539) - (-2*sqrt(539) + sqrt(539)) - 1*sqrt(1584))*-1).\nAnswer: -5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10892789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -2, -3 in ascending order.\nAnswer: -3, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400351048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-840)\/340)\/(148\/6290).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j. Let o(l) = 1 - 189*l + 187*l - 1. Calculate n(o(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 6. Let s be h(0). Suppose -2*i - j = -s*j + 9, -4*i = -4*j. Let n = 0.03 - -0.07. What is the third biggest value in i, n, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -3*l + 7*l + 5*f, 5*l - 221 = -2*f. Suppose -174*p + 172*p + 4 = 0. Differentiate -2 - 28*x + p - l with respect to x.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10) + ((-511)\/219)\/((-40)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 874*t - 11973. Calculate the remainder when j(20) is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 12752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 15. Calculate l(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-3 - (1 + 1 + -10 + 6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2) + sqrt(18) + -3)**2 + sqrt(18)\/(sqrt(36)\/sqrt(4)*2))*2 + 0.\nAnswer: sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and -3.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 65. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22418 is divided by 6692?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43978*k**2 - 35406.\nAnswer: -87956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8995.03 + 0.150517.\nAnswer: 8995.180517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 18. Let r(h) = -h**3 + 12*h**2 + 12. Let s be r(d). Solve 5*z + s = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*a = -1553*a + 69249 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101110101111000000 (base 2) to base 13.\nAnswer: 838841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 73 = -2*u + 90, u = 3*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upajpfp. What is prob of picking 1 j and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.147 - -0.153. Sort 2\/11, -5, f, 6.8 in ascending order.\nAnswer: -5, 2\/11, f, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 23. What is the closest to -1 in m, -0.05, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose j + r = 6, 3*j - u = -0*j + 5*r. Find the common denominator of (-2)\/j + 285\/(-105) and 49\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.891978249 less than 0.913?\nAnswer: -1.978978249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Solve 2 = -r*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 5*u**2 - 4*u - 1. Suppose -5*p + 2*n = 7, n + 6 = 2. What is b(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941740619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = -3*b. Let l = -3 - b. Let m = 7\/373 + 1028\/4849. Are l and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34935893, 69871797, 104807701, 139743605?\n\"Answer: 34935904*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*z - 7485, 71*z - 68*z - 11190 = -3*v. Calculate the greatest common factor of 83 and v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**3 - 83875*v**2 + 83875*v**2.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/106146857 or -6\/7?\nAnswer: 2\/106146857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97229.5 years in millennia?\nAnswer: 97.2295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2189 divided by -3.\nAnswer: 2189\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-10)*(-90)\/2. Suppose -19*g - 1775 = 3260. Let y = i - g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:13 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*c - 15, 0 = 4*t + 3*c + 31 - 58. Solve -2*o = -2, -t = -4*p + o - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 76*z\/3 - 26.\nAnswer: 2*(z - 1)*(z + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/(k\/((k\/k**(1\/9))\/k)))**(-16\/7)\/((k*k**(6\/11)*k)\/k**(-2))**(3\/8) assuming k is positive.\nAnswer: k**(27659\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)*i**(-20) assuming i is positive.\nAnswer: i**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.044, -3, -120, -4 in increasing order.\nAnswer: -120, -4, -3, -0.044, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 11*j**2 - 3*j - 11. Give d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + 2*b**2 + (-3 + 3 - 1)*(7*b**2 - 33*b + 33*b) + (7 - 9 - 17)*(-b**2 + 3*b**2 + b**2).\nAnswer: -62*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**3 - 7*d**2 + 4*d. Suppose 2*r + 0*t - 35 = 5*t, -r = t. Let h(z) = 10*z**3 + 10*z**2 - 6*z. Determine r*h(x) + 7*p(x).\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 3 = 0. Suppose -5*z = -4 - q. What is the remainder when (-18)\/(-14) + (-4)\/14 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 13*p**2 - 6*p + 24. Let c be f(-13). Solve -38 - c = -35*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ululuudllluuuueelyul. What is prob of picking 1 e and 2 l?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (3 + 6 + 6)) + 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(720) + -3 + -1 + (sqrt(90)*1 + sqrt(10))\/(-2*sqrt(72)).\nAnswer: -1 + 35*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15868 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {p: 3, e: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 times -1672?\nAnswer: -486552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14291576 divided by -137419\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:11 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-2 - (-4)\/6). Let v = 0 - 0.1. Let i be 975\/234 + -2 + -2 + 0. Which is the nearest to v? (a) p (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) + 7\/(252\/(-27)). Solve 5*q - 9*q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55320437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5255 = 601*d - 447. What is the closest to d in 1\/8, 19, 1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49\/3? (a) -110.3 (b) -4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 29*n**4\/12 + 19*n**3\/6 - 5*n - 3. What is the second derivative of o(i) wrt i?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 + 3*k**2 - 2\/3*k**3 + 1\/20*k**5 + 0*k - 1\/2*k**4. Let f be s(5). What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i - 3*i + 5*i)*(-2*i + 5*i - i) + 3*i**2 - 2*i**2 + 2*i**2)*(0*i + 5*i - 4*i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/2)\/((h*h**(-3\/4)*h)\/h)*h**(1\/2)*h**(-1\/8)*(h**(1\/3)\/h*h)**(1\/3)*h*(h**(-2\/3)\/h)\/h*h*h**(-5) assuming h is positive.\nAnswer: h**(-499\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3254 - -3376.85. Let r = q + -128. Let w = 0.15 + r. Sort w, 1\/3, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8332616 divided by 16.\nAnswer: 1041577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 3*d + 3. Let m be (32\/(-40))\/((-2)\/(-10)). Let y = 2 + m. Determine t(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-135) - (-5)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -4*k + 261, -1383 + 1056 = 9*a - 3*k for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/5)*v\/v**(-2\/17))\/(v**(-3\/7)*v**(-7)) assuming v is positive.\nAnswer: v**(5799\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 15. Let v be u(15). Let a(b) be the first derivative of v*b + 16\/3*b**3 + 9 + 0*b**2. Let k(q) = -2*q. Give k(a(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 - (-10 - (-61 + 19)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 3824*x**2 + 3826*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 6. Suppose 3*r - 3 = 3*c, 0 = 2*c - 0*r - 4*r + 12. Let q(l) = 2*l + 5. Determine c*q(y) + 3*p(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - a74?\nAnswer: -a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-3627)\/54)*(-1)\/(-3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. Find the second derivative of 3736 - 3736 - 23*x**b + 5*x wrt x.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4*(-1 - 36\/(-40)))\/(2\/(-37970))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/27)\/2)\/(26\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1 - 7 + 0 + 6 + 6 + 8*v - 2*v. Let k be (1 - (-1 + 1))*-6. Calculate j(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/37 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 113759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668538078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33476 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47301, -94478, -141509, -188382, -235085, -281606, -327933?\nAnswer: -374054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 69, 0 in descending order.\nAnswer: 69, 0, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.3. Let a = 114.8 + -114.8. What is the closest to -0.1 in 4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:00 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 78 = 2*g, -5*g + 195 = -5*h - g. Let r be 5*(h\/(-9) - 4). Is 2 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*k + 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.054.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 14 = 2*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 10*o**2 + 9*o - 22. Let n be i(-11). Solve n = 4*p - 3*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20622 (base 7) in base 5?\nAnswer: -130422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50 + -38 - (2\/1 + 2). Suppose b*m**2 + 32\/3*m**3 + 1\/6 + 2*m = 0. What is m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 96 = 22*r. Solve 3*s = r, -u - 4*u = -5*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 30096\nAnswer: -90288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.723778 rounded to 2 decimal places?\nAnswer: 5.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12238 + 2.13168. Let k = -12.0091 + l. Let v = k - -10. Round v to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = z + 3*o + 4, 5*z - 5*o = 20. Let l be 3\/1*-1 - -8. What is the third biggest value in 1, l, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1599*t + 1599*t - t**3 + 61*t**2 as j*t**2 + k*t + u*t**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1452+2.2311520616\nAnswer: 2.0859520616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 256.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(176)*-1 + sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 52*u - 2. Let f be n(3). Suppose -4*o - 10 = -i, -90 = 2*i + 5*o - 123. Calculate the greatest common factor of f and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzzz when four letters picked without replacement from {z: 5, o: 3, b: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/104 (b) 5 (c) -0.66 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 19. Suppose 7*f + 33 = 4*f. Let n be o(f). Let s be (-9)\/(-6) + (n - (-321)\/(-6)). Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s + 5. Let r be (2 + -14)*s - 2. Suppose 52 = 2*a - 4*z - 40, 0 = 2*a - 2*z - 96. Calculate the greatest common factor of r and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722 divided by -6?\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1083, 4344, 9773, 17370?\nAnswer: 27135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6912567 = -9*h + 2393433. Round h to the nearest ten thousand.\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d7686 (base 14) to base 12\nAnswer: a89a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-13)\/351 - (-1)\/9. Suppose -5 - 9 = -2*w. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = m + 4 - 7, 0 = 5*f - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 76*d**2 + 2226*d\/5 - 3312\/5.\nAnswer: 2*(d - 184)*(d - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 87 = -0*g + 2*f, -g = -f - 89. Let v(n) = -n**3 + 5*n**2 + 3. Let x be v(5). Suppose -x*y = -34 - 5. What is the greatest common divisor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w = 54*w - 5*b - 99, 99 = 3*w - b. Sort w, 4, 0.2.\nAnswer: 0.2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277703568*h**3 + 21*h**2 - 3831*h + 583?\nAnswer: -1666221408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i**3 - 53*i**3 + 7*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 92\/3. Let z be ((-2)\/20)\/(6\/(-1125)). Let x = 19 - z. Put j, x, -4 in decreasing order.\nAnswer: j, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 5336?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 12 - 2. Suppose a*s - 21 = 14. What is the second derivative of -7*m + 5*m**3 - s*m + 6*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3258\/12)\/(((-36)\/32)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 1. Let v(j) be the second derivative of 1\/10*j**5 + j + 1\/2*j**4 + j**2 - 1\/3*j**3 + 0. Let x(f) = -4*g(f) - v(f). Factor x(t).\nAnswer: -2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**2 + 2*o - 2. Let y be v(1). What is the smallest value in y, 0.5, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:33 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let l = h - 4. Let o(k) = -k**3 - 8*k**2 + 8*k - 6. Let i be o(-9). Sort -4, l, i in decreasing order.\nAnswer: i, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8293195 millilitres?\nAnswer: 0.0008293195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87848245 to the nearest integer?\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*h + 2*h - 27, -24 = -2*h + 4*t. Suppose -30 = -4*v + h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 - 94\/18. What is the common denominator of -31*(-2 - y\/2) and 93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/20150*11870 + -23)\/(-4)\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let p(b) = b + 1. Let a(o) = -3*o - 2. Let s(z) = -a(z) - 4*p(z). Let j be s(-4). Let y(h) = -3 + 0 + 3 - h**j. Calculate y(d(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 26. Let f be z(6). Let v(g) = 8*g + 4. What is v(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u - 5*u + 9*u**2 + 148*u**6 + 4*u + 6*u**2 + u wrt u?\nAnswer: 17760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 9:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 51 - 4. Let d(t) = t**2 - 10*t - 11. Let f be d(q). Solve -n + f - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/120*(56 - 72)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x**3 - 6*x**2 + 11*x - 20. Let g(p) = -5*p**3 - 2*p**2 + 4*p - 7. Suppose 3*u - 33 = 4*n, n = 5*u - 57 + 2. Give u*g(d) - 4*r(d).\nAnswer: d**3 + 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 2*k + 8 + 3 + 0 as c + v*k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*g - 6 = 0, 2*j + 5*g = -3*j - 15. Suppose j = s + s + 3*s. Suppose s = 5*f + 1 - 1. Solve f = -n + 3 - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 77\/(-14)*180\/(-33). Solve -k = -28*k - x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 + 20*l + 181. Let b be d(-7). Suppose u + 2*u + 5*z = -240, -331 = 4*u + 3*z. Let s = u + b. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59045 (base 13) to base 2.\nAnswer: -100111101101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 90*a + 498. Is 9 a factor of u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -8) + 248\/(-4) - (-11)\/((-1)\/1)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2942 = 8*h - 51794. What are the prime factors of h?\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.805558*-0.4.\nAnswer: -0.7222232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1 - -35)) + 13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*j - 1193*j + 1998*j - 650*j - 1209*j.\nAnswer: -1692*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80329500 to the nearest integer?\nAnswer: 8963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 86010525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.8 - 81.2. Let i = 384.4 - 467. Let v = i - b. Round v to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let y(w) = -2*w**2 + 25*w + 15. Let u be y(13). Let s(r) = 2 - 2 - 83*r**2 + 97*r**u. Give k(s(c)).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -62557 (c) -2\/5 (d) 3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 16*z = -574. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183.7 - 183.7000763. What is s rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18420 divided by 17\nAnswer: -18420\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(63\/(-105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**3\/9 - 53*d**2\/3 + 305. Determine f so that x(f) = 0.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786 divided by -786.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1985996*f**4 + 1460509*f.\nAnswer: 23831952*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 + 6*o + 4. Let v be f(-5). Let t(a) = a**3 - 2*a**2 - 4*a + 4. Let g be t(3). What is the second biggest value in g, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22760 + 22841. Let t = 135 + -54. What is the lowest common multiple of t and v?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (0 + 7 + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4072.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2690053.\nAnswer: 2690053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 996.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u - 9. Suppose 2*j + 0 = 4*w + 26, 0 = j - 3. Let r be w\/15*(-3 + 3). Give n(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:44 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 10*o - 3*o - 7*o + 5*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a**4 + 2 + 2*a**4 - 2 + (-a**4 + a**3 - a**3)*(3 - 7 + 3))*(5*a - 4*a - 4*a + 2).\nAnswer: -6*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/360 + t**4\/72 - 2*t**3\/9 - 34*t**2. Let o(u) = 0. What is u?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 + 12*x**3\/5 - 38*x**2\/5 - 48*x\/5 = 0 for x.\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, v: 1}. Give prob of picking 2 m.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) -1 (c) 37 (d) -2\/7 (e) -30129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*u + 7983. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*t**4 + 26*t**3 - 26*t**3 + (2*t + 2*t - t)*(2*t**3 + t**3 - 2*t**3).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63784\/28235 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -107, -101, -91, -77?\n\"Answer: 2*w**2 - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:58 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, r: 1}. What is prob of picking 3 t?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 3*j - 3. Let k(w) = w**2 + w - 1. Let u(n) = 12*k(n) - 4*q(n). Let l(c) be the first derivative of c**2 - 48. What is u(l(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 27*v + 5. Calculate t(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + ((-8)\/(-40) - 1)*5. Suppose 19\/3*a**3 - y*a**4 + 0 - 1\/3*a**2 - 2*a = 0. What is a?\nAnswer: -1\/2, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y**2 - 60*y - 76. Calculate the remainder when 182 is divided by r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/504*8\/(-4)*2614\/(-1307).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948 divided by 141?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 378 = 2*o. Suppose -3*b - b - o = 5*m, m + 4*b = -45. Let l = -29 - m. Solve 6*s - 4*s + 8 = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15065681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293.0178 rounded to the nearest integer?\nAnswer: -1293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.022986 - -18.8\nAnswer: 18.777014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:11 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.9 + -11. Let o = -1.8 + 2. Let d = 0.7 - o. What is the nearest to h in -4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -598 - -603. Which is the biggest value? (a) 0.3 (b) -11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 2*p**2 + p - 2. Let s = 37 + 23. Let c = 58 - s. Calculate o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (1 - 1) + 4. Suppose c*s + 48 = -4*y + 2*s, 4 = -s. Which is smaller: y or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -889*h - 890*h + 1772*h - 30 + (-h - h + 4*h)*(-3 + 0 + 2).\nAnswer: -9*h - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 2*q + 2 + 4*q**3 + q**4 + 3*q**2 - 6*q**3 - 1 to the form n*q + o*q**3 + s + u*q**4 + f*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 42. Determine u(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66501\/7 + -9500. Suppose 0 - m*i**5 + 0*i**4 + 1\/7*i**3 + 0*i + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.69, 5, -10, 1249, 0, -2\/9 in ascending order.\nAnswer: -10, -2\/9, 0, 0.69, 5, 1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4915301 decades to millennia.\nAnswer: 0.004915301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4686751916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.2 (c) 5\/3 (d) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 4*r. Let g be k(-3). Suppose 5*q + 20 = 0, -2*q - 2 = 3*v - g. Suppose -c - 2*j = -39, -120 = -4*c - v*j + 4*j. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1146*x + 282*x**2 + 2793*x + 8 - 284*x**2 as l*x + w + b*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 5, 0.5, -5, 45, -0.1, -2\/667?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -264*q - 4510. Give b(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 11\/2111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k + 218*k = -10638 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24611208 to the power of 1\/2, to the nearest integer?\nAnswer: 4961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3989 - 4000 = -2*l, l + 7986 = j. List the prime factors of j.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let s(f) = 967*f. Determine s(z(r)).\nAnswer: -1934*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 108 + 35*x**2 + 333 + x**4 - 112 - 112 as h*x**2 + f*x + u*x**3 + r + c*x**4 and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let i be f(-2). Let o = i - -11. Suppose 4*u = 17 + o. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-12)*1*6. Suppose k*l + l = 0. Solve l = 3*c + 6 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12286390 and 430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a**2 + 6*a**3 - 93*a**2.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 144. Suppose 5564 = -8*a + o*a. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -19. Let u = -74 - -437. Suppose -5*z = 4*y - u, 2*y - z = -y + 277. Calculate the highest common divisor of k and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**3 + 952*q**2. Let h(i) = -3*i**3 + 475*i**2. Give 5*h(o) - 2*w(o).\nAnswer: -o**3 + 471*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + 100101230?\nAnswer: 100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - 5*r + 5. Let j be f(0). Suppose -2*h + 10 = j*q, -4*q + 26 = 6*h - 8*h. Let v = 5 - 7. Sort -2\/9, 0.5, q, v in descending order.\nAnswer: q, 0.5, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.2 (b) 0.3 (c) 0 (d) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 2. Determine z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252588019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 116065 (base 9) to base 7\nAnswer: 411131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 - 5.8445. Let t = -0.25 + n. Round t to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 313*r + 2366. Give d(-8).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.412 and -0.5?\nAnswer: 1.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1310 - -102013323?\nAnswer: 102020133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102)\/136)\/((63\/(-30))\/7). Let u(h) be the third derivative of -4*h**2 - f*h**3 - 1\/24*h**4 + 0*h + 0 - 1\/60*h**5. Calculate u(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2 + 2530*j + 1486 wrt j.\nAnswer: -2*j + 2530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 226, 0, 2, -4, 63\/82, 3\/7?\nAnswer: 63\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -16*w**2 + 3. Calculate j(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004860621 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 + 0*w - 10*w**3 + 0*w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210021202200 (base 3) in base 10?\nAnswer: -950445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-744)\/(-372)*3\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -507.81321 and 47.\nAnswer: -460.81321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2753546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3220 + 4546. Is s a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 2*d)*(-108 + 767 + 6506).\nAnswer: -14330*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o + 77. Let k be r(-7). Solve -5*x = -k*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -2. Suppose 2*a + 48 = c*a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6 + 5*z + 2*z**2 + 3*z**2 - 3*z**2 - 3. What is the units digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/9 + 18110*k**3\/9 + 90602*k**2\/9 - 18110*k\/9 - 30200\/3 = 0.\nAnswer: -5, -1, 1, 9060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25862539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 a factor of 1751994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose -3*j - j + 8 = t. What is the remainder when 47 is divided by (5*j)\/((-12)\/(-30))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1382554200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -25*v**3\/6 - 6*v**2 + 6*v. Let a be k(-3). Find the second derivative of 63 - 6*l - a - 13*l**4 wrt l.\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 6*q + 0*q + (-3 - 1 + 2)*(q + 0*q - 2*q) + 4 - 4 - 9*q to o*q + t and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 0.018582?\nAnswer: 0.00297312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 19. Let g(y) = -2*y**2 - 42*y - 40. Let l be g(-20). Give a(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 - 4*b - 13. Let r be x(-3). Let a be r\/2*(-40)\/(7 - 2). What is q in -4*q**2 - a*q**2 - 12*q + 6*q**2 = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -22, -13?\n\"Answer: 9*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 5*g - 3*g)*(-3 - 1 + 1) - 3*g + 2*g + 5*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 18133550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 23*d**7\/70 - 23*d**4\/12 - 2*d**3\/3 - d**2 - 37. Find the second derivative of y(w) wrt w.\nAnswer: 828*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1287 - -2071. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - ((2 - -2) + (-24 - -15))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*p + 13, -5*y + 3*y = -5*p + 19. Let g(r) = -r - 1. Let l be g(-3). What is the second derivative of -l*c**p + 0*c + 2*c - c**3 wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + 4*b - 4*b)*(-1 + 1 + 2*b) - 22 + b**2 + 3 - 33)*(2 + 0 - 1)*(-4*b - 3*b + 0*b).\nAnswer: -35*b**3 + 364*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/197 (c) 3 (d) 0 (e) -18\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 466 + 3?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45\/4 in 270, -4, -95?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 12086 + 6048 + 6034 + f**2. Determine o(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*u*z - d**2*z - 31707*d*u*z + 5*u + 16714*z with respect to d.\nAnswer: 3*d**2*u*z - 2*d*z - 31707*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 86, 0, -15679.\nAnswer: -15679, 0, 8, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/5, -312, 9\/8, 1?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.12, -2\/3, 12799, -4.\nAnswer: -4, -2\/3, 0.12, 1\/7, 12799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1587 divided by -4?\nAnswer: 1587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226.4967 + 226.5. What is the smallest value in k, 3\/7, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxaipaww. What is prob of picking 1 p and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/11 in -2, -3, -2006066?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.17 - -4.67. Put d, -0.1, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/24 (b) 269 (c) -342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -4)*10*(-38)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9, u: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.5096 to one dp.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + -2 - (15 + -18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12154 + 100*x**2 - 206*x**2 - 12154 + 107*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 237697, 475381, 713049, 950701, 1188337, 1425957, 1663561?\n\"Answer: -8*j**2 + 237708*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/4 - 111*q**4 - 18729*q**3\/4 - 40290*q**2 + 45084*q = 0 for q.\nAnswer: -68, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -479.\nAnswer: -4\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 194643366893\nAnswer: 194643366889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 + 2*a**4\/3 - 7*a**3\/6 + a**2\/2 - 4*a. Let d(k) = k**3 - 7*k**2 + 6*k - 1. Let r(q) = 7*d(q) + 6*x(q). Give r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 45267*j - 45275*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-165))\/((-1290)\/(-39775)) and 53\/4662.\nAnswer: 51282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + t - t**2 + 6*t**2 - t**2 + t**2 + 2*t**2 + (-1 - 3 + 3)*(3*t**2 - 6*t**2 + 2*t**2) to the form k*t + l*t**2 + w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3\/3 - 43387*d**2 - 52336427*d - 47131740559\/3 = 0.\nAnswer: -599, 131359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6 + 6. Suppose 3*r - 33 = -m + 157, -4*m - 3*r + 742 = 0. Suppose 5*l - m = o, -2*o - x = 5. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + 5*b**5 + 2*b**5 - 11*b**5 + 18 - 1774*b**2 + 1774*b**2 + (-3*b**4 - 3*b**4 + 5*b**4)*(-b + 3*b + 0*b).\nAnswer: -8*b**5 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 4*o + 4. Let x = 19689 + -19685. Give s(x).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 + -136. Suppose -u - n = -3*f, -7*f + 2*u = -5*f - 18. Let i = 42 + -22. What is the greatest common divisor of i and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7701716.\nAnswer: 2, 11, 175039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -3. What is the remainder when 187\/55 + 4\/(-10) is divided by (-1)\/((-2)\/1)*n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*z = 60, 2*b + b - z = 28. Let c = -163 + 227. What is the greatest common divisor of b and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381718*x**3 - 32*x**2 - 95165731*x.\nAnswer: 2290308*x - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 2\/15 (c) 4\/13 (d) -0.1 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1*(-2)\/(-3). Suppose 9*f + 0 = 36. Solve -3*b + 2 = -f*b - w, -r*b - 4 = -w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27730352 is divided by 6847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3402 - -4?\nAnswer: 3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/675 and 149\/60.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, g: 4, m: 6}. What is prob of picking 1 q and 2 m?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 6 = -3*q. Calculate the remainder when -1 + 4 + (-1 - -3) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 8*o - 12012. Suppose -28*h + 30*h - o = 0. List the prime factors of h.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**3 - l - 51 + 11*l**3 + 109 - 61 + 35*l**3 + 2*l**2 in the form d*l**3 + g*l**2 + v + f*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 404 - 121. Let z = -1223\/7 + l. Factor 0*r - 2\/7 + z*r**2.\nAnswer: 2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r + 3*r + 0*r. Let d(q) = -q. Let m be 48 + -58 - 14\/2. Determine m*d(h) - 6*s(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -415, 3.68, -3, 0.5, -4?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 43885116?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 1. Let s be (-2)\/8 - (-10)\/8. Let u be p(s). Suppose -4*n + v + 4 = -2*v, v + 3 = 3*n. Solve n = x - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 7*d**2 - 9*d - 5. Let q be u(-8). Find the second derivative of 2*m - 2*m - q*m - m**4 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-246)\/369*(-2)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 37 + -20 + -30\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11 = -2*u, 0 = 2*i - 5*i + 5*u - 5. Let t be 5*((-9)\/i - 1). Solve t*f + 16 = -0*f, -2*c + f = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(6*sqrt(136)*-1 - (2*sqrt(136) + sqrt(136) - sqrt(136))*4))\/((sqrt(8) - -1*sqrt(8))*-2 + (sqrt(8) - -1*(sqrt(8) - sqrt(8)*2))).\nAnswer: -35*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 + 9. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -12. Let r = z + -6. Find the second derivative of -4*q - 6*q**2 - 5*q + q - r*q**2 wrt q.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -51.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 288560*x**4 - 5107014 wrt x?\nAnswer: 1154240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(1*(-2 + 0)). Suppose -5 = -f*o + o. Let g be (1 + o)\/(-3 + 4). Solve -25 = k - g*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in 5, 41\/4, 0.0556?\nAnswer: 0.0556","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42978 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -311*o**6\/2 - 33*o**2 - 30*o + 1169. What is the second derivative of m(a) wrt a?\nAnswer: -18660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(96))\/(3*sqrt(16)\/sqrt(2)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5393496.\nAnswer: 2, 3, 224729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -112222?\nAnswer: 113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Let x = -6 + 5. Let o = -1 + x. Which is the nearest to 1? (a) o (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2132 and 656.\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (-28 + 49) - (-12 - -1)) + -53\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbpbhz. Give prob of sequence bzz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 599.\nAnswer: 598.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 - 34948*i - 313936. Determine g(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208342546 and 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*r**(-21)))*r*r**(-2\/37)\/r*(r*r**(-22))\/(((r*r**(3\/14)*r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-21895\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a. Let j(z) = 191*z - 2. Calculate j(i(y)).\nAnswer: -1528*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 23*v**2 - 10*v + 8. Let h be n(2). What is the greatest common divisor of 96 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 48. Solve 0*h + 10 = v*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 + 5*s + 1. Suppose -x = -590 + 597. Determine c(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let g(w) = 74*w**2 - 227*w. Let f(r) = -g(r) + 4*u(r). What is the second derivative of f(v) wrt v?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 14*m - 23 + 8*m - 25*m + 33*m**2 + 25 + 4*m**3 to the form g*m**2 + j*m**3 + i*m + s and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from laiqai.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178461708 by 3076926.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 2. Let l(u) = 326*u + 332. Let g be l(-1). Let w(o) = -4*o + 1. Determine g*w(a) + 5*f(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 - 0.02.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10)\/((-4)\/(-80))*-4 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 = -4*n. Let u = 14 - n. Suppose u*k = 6*k - 44. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:38 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 9*o**2 - 4*o + 9. Let g be j(6). Let r = -82 - g. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + i**2)*(1 - 1 + 4*i)*(-12 - 18 + 24)*(2 + 1 - 4).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*p - 4*y - 56, -5*p - 5*y = -40. Suppose 7*a + 2684 = p*a. What is the highest common factor of 61 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11*o**2 + 5)*(-19*o + 16*o + 5*o - 31*o**2) + 28*o**2 - o**4 - o**4 - 33*o**2 - 4*o + 4*o - 2*o**4.\nAnswer: -345*o**4 + 22*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5*a - 25, -8*i + 5*i - 25 = -5*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.8 to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/138 or -1\/7?\nAnswer: -5\/138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.2. Let t = 100.5 + -100.4. What is the nearest to 0 in h, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooookookokoo. What is prob of picking 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93221839*s*v**2 - 1887797*s*v - 1 wrt v?\nAnswer: -186443678*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*o + 1272*o - 147*o + 2850*o.\nAnswer: 4415*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 1, s: 4, w: 5, i: 4}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 8. Suppose 17 = 5*c - 3*n, 3*c + 3*n = n + 14. Solve -2*f + h*f = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46150 and 4847596?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g. Suppose 3*w - 24 = -5*h, g = w - 2*h + 4 - 1. Sort 5, -1\/7, w in increasing order.\nAnswer: -1\/7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 1, z: 2, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -72948*v**2 - 72940*v**2 + 145884*v**2. Let n(f) = -f - 1. Let w(q) = -14*q - 16. Let r(d) = -48*n(d) + 3*w(d). Give r(m(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115682730 divided by 326.\nAnswer: 354855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11418, -11354, -11286, -11214, -11138?\nAnswer: -11058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enbd when four letters picked without replacement from {e: 1, i: 1, n: 1, d: 1, b: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/851 - -28956\/9361. Find the common denominator of (819\/12)\/(621\/(-138)) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0 (c) -17 (d) 189.3 (e) -5 (f) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 321*a + 11. Let x be b(1). Let h = 356 - x. Solve 0 = o - h + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 + -11?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -22*x - 744. Suppose 195*n = x*n + 16200. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 6. Let s(m) = 1. Let l(x) = -i(x) + 6*s(x). Let j(u) = -8*u + 2*u + 3*u. Give l(j(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5055533 nanograms in milligrams?\nAnswer: 0.0000005055533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*y = -62, 4*y + 12 = -0*y. Suppose -3*x + 2*o + f = 0, x - 3*o - 11 = -0*x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 1 + 1 + (-p - 2*p + 2*p)*(-2 - 2 + 3 + (1 - 1 - 2)*(1 - 3 + 0) + 14 - 8 + 2 + 7 - 4 - 5 + (-1 - 1 + 4)*(0 + 3 - 1)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191546277?\nAnswer: 3, 13, 19, 23, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 941 divide 281920777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-36)\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 1 (c) -10\/11 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13165224*i**2*s**2 + 4*s**2 - 81*s + 116 wrt i?\nAnswer: 26330448*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*k = 673*k - 2*n + 102, 4*k + 157 = 6*k + 3*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/8*(-30)\/(-315). What is the third biggest value in 2, l, 116, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/101, -177, 0.1, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 9*m - 13. Let x be h(9). Suppose 4*v = -4*s + 116, -4*v + 2*s + 178 = x. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3553 = -78*b - 839 + 640 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4820*j**2 - 7651*j**2 - 12876*j**2 + 690*j**2 - 10167*j**2 - 23345*j**2)*(4 - 3 + 0) as t + a*j**2 + m*j and give a.\nAnswer: -58169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(468) - -3*sqrt(468)) + -4))**2*3 + 1*(3*(sqrt(468) - 5*sqrt(468) - sqrt(468)) + -1)**2.\nAnswer: -396*sqrt(13) + 127813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2676 and 0.1.\nAnswer: 2676.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*s + 312 + 228, -3*s + 4*c = -816. What is the greatest common factor of s and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -791*j - 1. Let a(v) = 2*v**2. Calculate l(a(f)).\nAnswer: -1582*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - y - 58, -l = -3*y - 15 + 1. Suppose 8*s - 3*s = l. What is the third derivative of 0*h**2 - 2*h**2 + 7*h**2 + 3*h**s wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvz when three letters picked without replacement from ihjahjhhhivhhvahz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4687945*m**2 + 4182125 wrt m?\nAnswer: 9375890*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 720*l - 25920.\nAnswer: -5*(l + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/6)*y)\/y)\/(y\/y**21))**(3\/11) assuming y is positive.\nAnswer: y**(119\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7523*1418\nAnswer: 10667614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 21*i - 120 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7519 is divided by 2450.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q**(-4\/7))\/(((q*q\/q**(1\/5)*q)\/q)\/q**(6\/5)) assuming q is positive.\nAnswer: q**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4824 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4984, -4971, -4956, -4939, -4920, -4899, -4876?\nAnswer: -4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (5 - -1 - (0 + -3)) + 1 and 86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/8))\/s)\/((s\/(s**(-3)\/s))\/s)*s**(-2\/17)\/s**(1\/5) assuming s is positive.\nAnswer: s**(-3191\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*(1605131\/4718)\/(-433)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1046020 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/3 + 4*v**3\/3 - 2*v**2\/3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 10*c - 41*c**2 - 6 - 3 - 159*c**2 - 3*c as o*c**2 + k + m*c and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2941, -1809, -4 in decreasing order.\nAnswer: 2941, 3, -4, -1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/17, -5, 153, -0.3, 11, 0 in descending order.\nAnswer: 153, 11, 18\/17, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -398 + 400. Let v(t) be the second derivative of 1\/3*t**3 - 2*t + 8*t**j + 0. What is the first derivative of v(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 1. Let m(b) = 7*b + 5. Let y(g) = 15*g + 11. Let x(l) = -13*m(l) + 6*y(l). Let i = -11 - -12. Determine i*x(d) - r(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*u + 4 = 0, 1528 = 3*q - 4*u + 1572 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(77)*-2 + sqrt(77))\/(sqrt(539) + sqrt(539)*-3).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-30)*x))\/x*x*x**31*x*(x**(-7\/2))**(-35))**(-9) assuming x is positive.\nAnswer: x**(-2205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155414 (base 6) to base 10.\nAnswer: -15490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0.2, -2, 0.1, 2\/3, 1813?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 0.07, 1\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = -5*p + p, 4*l + 4 = 2*p. Let i be (-1)\/(-2)*(1 + 3). Suppose -a - 2*a + 15 = 0, 5*o + 10 = -3*a. What is the third smallest value in p, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 2*n**2 + 0*n)*((-9*n + 4*n - 5*n)*(-2 - 4 + 4) - 10 + 5*n + 10)*(5 - 3 - 4)*(7 + 3 - 5) to the form f*n + w*n**2 + j + g*n**3 and give g.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 382?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(684) - 3*(2*sqrt(684) - sqrt(684))))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -2018?\nAnswer: 25\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 410*x - 3 - 295*x - 111*x + 0.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -130295660 to the nearest one hundred thousand.\nAnswer: -130300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397*u + 70629 = 11955 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 678 - 508. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/15 and 139\/1494672.\nAnswer: 7473360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 4, h: 3, l: 3, j: 7}. What is prob of picking 2 h, 1 l, and 1 c?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 - (-5 + -2) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 - 1. Let y be 0 - -2 - 2 - -6. Let p be m(y). Let d be (p - -1) + 0 + 2. Solve 5*i + 4 + 11 = -d*a, -a + 20 = -3*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 98 - 40 - 31 - 40. What is i(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-1)))\/l)**(-2\/9)\/((l*l*l**(1\/2)*l)\/(((l**(-1\/2)*l)\/l)\/l*l)))**17 assuming l is positive.\nAnswer: l**(-544\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f**8\/f*f)\/f))\/f*f**(-13)*f**(8\/7)*f**(1\/13)*f assuming f is positive.\nAnswer: f**(-1527\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 16, -5*f + 10*f - 3*i + 22 = 0. Let t be f\/(-1446)*(-8)\/(48\/(-9)). Let u = t + -2290\/241. Find the common denominator of 53\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*h - 11*h + 298. What is the remainder when 326 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 51. Let b = l - 23.0000098. What is b rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:27 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:24 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 - (270\/30 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 3*f = -7, -1 = f. Suppose 5*x - 100 = 5*l, 50 = 7*x - 5*x - o*l. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19991 + -13007. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.07145ml in litres?\nAnswer: 0.06807145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2. Let p(h) = -2236 - 67*h + 2236. What is p(d(t))?\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12a - -ab9?\nAnswer: be3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1926\/(-10) - 10\/25. Let u = -28 - d. Find the common denominator of 1\/8 and (-100)\/u - (-2)\/(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -5*u + 5*d, -3*u - 4*d + 3*d + 106 = 0. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17 + -70.83. Let t = r + 77. What is the nearest to 2 in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + (-62 - -26) + 46 + (-1 - 7).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0\/(-1))*-4. Suppose -5*f + 0*f = 10. Let z be (f\/x)\/(30\/(-8)). Which is the nearest to -0.1? (a) -5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4 + 2961*v**3 + 68633*v**2 - 2961*v - 68632 = 0.\nAnswer: -23, -1, 1, 2984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 48622364*m**3 - 1 - 48621571*m**3 + 97243930*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2576*i**4 + 2729*i?\nAnswer: -30912*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d + 31 - 8*d - 14. Let n = 234 - 251. Let u(g) = 7*g - 6. Give n*u(c) - 6*a(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286162.\nAnswer: 2, 199, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 64)*(-2*g - g - 4*g) to t + a*g and give a.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 401, -1168, -2\/93 in descending order.\nAnswer: 401, 0, -2\/93, -1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x + x + 1 - 10*x + 25*x.\nAnswer: 44*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 5) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 32. Give v(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8688 - 8690. Let s be (-2 - 1)\/(9 - 2). What is the closest to l in 5, 3, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*5*-3*sqrt(95))\/((sqrt(3840)*3)\/sqrt(12)))**2.\nAnswer: 4275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -271.3 - -271.4. What is the third biggest value in 0, r, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965274 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 191*s**2. Let d(g) = 13*g. Calculate x(d(h)).\nAnswer: 32279*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1900) + -3)*-3 + 3 + 3*sqrt(1900))**2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3 - 297*f**2\/2 + 300*f - 1674. Factor j(x).\nAnswer: -3*(x - 1)*(x + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 55*i**2 - 161*i - 7. List the prime factors of s(9).\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 18*m - 32. Let r be g(-5). Let c(o) = 0 - 1 + 17 + 3 + 82*o - r*o. What is c(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*d - 7. Let t be (-72)\/(-30) + 2\/d. Let g = -0.5 + 1. Put t, g, -1\/4 in increasing order.\nAnswer: -1\/4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 268*r + 176 + r**4 + 5*r**3 - 133*r - 136*r - 2*r**2 to s + i*r**3 + b*r**2 + d*r**4 + n*r and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651 - 22807 = -652*h + 6186 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 384 = -2*g, 5*h - 19*g + 16*g = 640. Calculate the remainder when 291 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 = -5*t + 2*m - 202, t - 120 = -4*m. Let v = t + -53. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 24*b - 515. What is y(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 57*q**2 + 105*q - 1906. What is z(-7)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -11*u + 2052. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9353.\nAnswer: 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 5 + -8 + -28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12446757 divided by 4148919?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 19*o**2 - 4*o - 18. Let z be i(-2). Solve -62*r + 8 = -z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 2*q + (15*q + 32*q - 6*q)*(3 - 3 + 3).\nAnswer: 121*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3235053 - -4330.27\nAnswer: -3230722.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 3 - 0 - (2 + -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19451 and 112837?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*k**4 - 11 + 1 + 4 - 1 with respect to k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*z - 1822 = -4232*z + 50902 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391*l - 391*l - 46*l**3)*(-4*l + l + 4*l) + (-6*l + 12*l + 7*l)*(3 - 3 - l**3).\nAnswer: -59*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1627511*u**2 - 1 - 300*u**3 + 1627511*u**2 - 4*u in the form r + d*u**2 + s*u + v*u**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 10. Suppose 25 = -0*h + 5*h. Calculate the remainder when (-18)\/(-27) + 98\/d is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -219804 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*l - 64*l - 2408 = 156*l - 3*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (3 - -43 - 61)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*z + 448 = 129*z. Calculate the remainder when 447 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902948911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/((1\/(-6))\/((-80)\/(-120))). What is the highest common factor of 60 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3495 + -3492. Factor 0*r**2 + 1\/2*r - 1\/2*r**p + 0.\nAnswer: -r*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 103*u**2 + 9*u - 7. Let q(i) = -51*i**2 - 5*i + 4. Suppose 0 = -0*w - 4*w + 20. Let j(d) = w*q(d) + 3*k(d). Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**7\/840 + j**6\/90 + j**5\/120 + 5*j**4\/24 - 5*j**3\/2 + 16*j. Let w(g) be the second derivative of k(g). Determine w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1\/(-1))\/(-1). Suppose 2*p - 3 - 1 = w. Suppose -3 = -p*k + k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.7. Suppose -f + 0*f = -5*j + 7, 5*f = -4*j + 23. What is the closest to 0.1 in -1, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yur when three letters picked without replacement from uuypr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 7577 = -7585 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-135)*(-3)\/(-102)*18?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11133210 - 1144?\nAnswer: 11132011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + 8 = 0. Let i = -741 + 740.5. What is the third biggest value in i, -1\/4, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2, -7\/5, -34, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1899 = -703*k - 210 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13303 + 23619. List the prime factors of p.\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -12948068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 - -1711\/6. Let q(t) be the second derivative of 1\/72*t**4 - 9*t + 0 - j*t**2 + 1\/36*t**3. Determine d, given that q(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 23*b**3 + b**2 - b + 1. Calculate the remainder when 115 is divided by f(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.516655698 rounded to 4 decimal places?\nAnswer: -0.5167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 8*c + 7. Let q be v(6). Let f = -0.48 + -1.38. Let m = -0.14 + f. Sort q, m, -4\/7 in descending order.\nAnswer: -4\/7, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*w = 4*v + 2, -2*w = -5*v + 14. Let l be v\/(-17) + (-87)\/(-17). Solve -c - l = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2 - 5*o + 13*o)*(-o - 119 + 119) + 3*o**2 + 0*o**2 - o**2 as a + w*o**2 + j*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i + 0 + i**2 + 1\/30*i**5 + 0*i**4 + 0*i**3. Let o(l) = 37 + l - 37. Determine d(o(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = s - 11, -h - 5*s = -0*s + 15. Suppose i - g - h = 0, -g - 8 = -2*i + 3. Is 19 a factor of 3\/i - (-153)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-12)*(-184)\/(-24). Is -7 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:06 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -28 - (-81 - (-47 + -24))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -10 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214*c**2 + 175*c**2 - 253*c**5 - 85*c**2 wrt c.\nAnswer: -15180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -3, -3.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*i - 2*i. Let d(v) = 6*v**2 - v - 1. What is the remainder when 21 is divided by d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 + p + 3. Suppose 0 = z - 5. Suppose z*q - 23 = 12. Let l be i(q). What is the greatest common factor of l and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -36, -62, -108, -180, -284, -426?\n\"Answer: -v**3 - v**2 - 2*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/78*(-18)\/(-12)*-2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-382)\/191)\/(3\/(6\/(-2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.13 - 5.13. What is the closest to -2 in 3\/8, b, 1\/2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22100880 and 180.\nAnswer: 66302640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than -655625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Let i(j) = 2*j**2 - 36*j + 155. Let p be i(8). Let b = 13 + -13. Put p, b, c in increasing order.\nAnswer: p, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747005390?\nAnswer: 2, 3, 5, 158233513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-36))\/((-36)\/4356) and -13\/12776.\nAnswer: 38328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 12. Let n = -13 - r. Let h be (-3)\/12 + (-1)\/(-4). What is the biggest value in -0.1, h, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**18)**(-23)*(i**(1\/53))**(11\/7))**(4\/21) assuming i is positive.\nAnswer: i**(-614332\/7791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4693 - 4540. Solve 123 = -6*w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 6615*d**5\/16 - 5565*d**4\/4 + 421*d**3\/8 - 3*d**2\/4 - 1256*d. What is c in h(c) = 0?\nAnswer: 1\/105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/(-6))\/((-12)\/486)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(931) + (sqrt(931)*-4 + sqrt(931))*-5))**2.\nAnswer: -2145024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (-3*sqrt(320) + sqrt(5))**2*-4).\nAnswer: 42320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37604223.\nAnswer: 3, 523, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 3*s**3 + 4*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 17*r**2 - 16*r + 43. Let x be d(-18). Calculate the greatest common factor of 763 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6*v + v = -24, 3*w + 4*v = 22. Let s be ((-16)\/(-10))\/(w\/(-10)). What is the common denominator of (-17)\/s*2\/(-4) and -97\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 greater than 432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2168, -7, -1, 1 in decreasing order.\nAnswer: 3, 1, 0, -1, -7, -2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/483 and 68\/621.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 = 4*d - 2*q, -4*d + 5*q = 1. Suppose 9*u - 227 = 97. What is the lowest common multiple of d and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5359 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185653875 divided by -7.\nAnswer: -185653875\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 11\/14)\/(-25 - 151086\/(-6006)). Let 1\/8*t**3 + 4*t - 7\/2 - d*t**2 = 0. What is t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 30. Let u(n) = 16*n**4 - 45*n**3 + 10*n**2. Let h(i) = 15*i**4 - 45*i**3 + 10*i**2. Let x(j) = m*h(j) + 5*u(j). Let x(v) = 0. What is v?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 2)*-4*(1 + -2). Let w be 2\/x*-2 + (-3)\/(-6). Is ((-53)\/4)\/(w\/(-92)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*b - 4 = 38, 0 = -2*g - b + 24. Solve y = -y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**3*r**4 + i**3 + 12*i*r**4 - 16*r + 5 wrt r.\nAnswer: 48*i**3*r**2 + 144*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3\/4, 0.2, -1.014 in ascending order.\nAnswer: -1.014, -1\/6, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 21, -4, 7 in increasing order.\nAnswer: -4, 2, 6, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 2)*(-3*d + 2*d + 4*d) - 34*d + 496 - 250 - 247.\nAnswer: -61*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1765, 1931, 2193, 2539, 2957?\n\"Answer: -2*f**3 + 60*f**2 + 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11305.\nAnswer: 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*i + 12*g - 42858, -2*i + 42850 = 3*g. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 7. Let n = w - -30. Let t = -8 + n. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3221303 (base 4) to base 3.\nAnswer: 202112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 128 - 136. Calculate the highest common factor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/2)\/(1\/((-264)\/(-18))). Let u = b - 66. Suppose -3*c + u = -351. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -1, -4, -91, 310 in increasing order.\nAnswer: -91, -4, -1, 77, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*d**3 - 33*d**3 - 20*d**5 + (d + 4 - 4)*(3*d**4 + 0*d**4 - d**4).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 314072\nAnswer: 1\/157036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.42 + -3.28. Let b = x - -16. Let u = -0.8 + b. What is the nearest to 0 in -1\/3, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 2, w: 2}. What is prob of sequence ewdw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-22) + 4856\/(-88). Let o = m + 58. Solve 5*s = o*r + 3 - 4, 5*s = -2*r - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 8*t + 2. Suppose -9*z + 6 = -12. Let n(m) be the first derivative of -1\/3*m**3 + 7\/2*m**2 + 1 - z*m. What is 5*l(c) + 6*n(c)?\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.5*15713.\nAnswer: -102134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 4*p + 264, b + 4*p - 56 = 0. Suppose 16 = -6*s + b. Solve 0 = 3*f - s*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 - 2\/(-8). Let u(w) be the second derivative of 1\/4*w**4 + 0*w**3 - w + 0*w**2 - c*w**5 + 0. What is the third derivative of u(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 + 3)*4\/(-3))\/(-38). What is the second smallest value in -3, 0, o, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193\/1186432 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 20 - 20)*(6*s**3 - 3*s**3 - s**3) + s**3 - 3*s**3 + 3*s**3.\nAnswer: -93*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053618458 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/111 (c) 0 (d) -2\/281 (e) 0.2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 3*k**2 + k - k. Let q(s) = 3*s**2. Give q(j(v)).\nAnswer: 108*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 127*r = 0.\nAnswer: 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -59. Let r be (1\/3)\/((-2)\/174). Let y = r - -46. Sort y, u, -1.\nAnswer: -1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2243.2 and 0.103875.\nAnswer: 2243.303875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (-1 + sqrt(304) - sqrt(304)) + -5 + -3.\nAnswer: -9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-3)\/2)\/1)\/(57\/(-190)). Suppose q = 2*r + r + 7, m*r = -4*q - 6. Solve 4*b + q = -7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 0.08, 1.5, 2\/9, 0, 2\/5 in decreasing order.\nAnswer: 1.5, 2\/5, 2\/9, 0.08, 0, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 27*u**2 - 50*u**2 + 26*u + 22*u**2. Let l(r) = r. Calculate v(l(k)).\nAnswer: -k**2 + 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 36) + 3 + -121 + 44.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 3108?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1\/6 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:31 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let a(c) = -c + 9. Let w be a(5). Solve w*i - z = 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13283, 13271, 13251, 13223?\n\"Answer: -4*m**2 + 13287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let c(o) = -o**2 - 2*o + 7. Determine -c(j) + 5*r(j).\nAnswer: j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1464804 divided by 366201\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:04 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4448563503 to the nearest one hundred thousand.\nAnswer: 4448600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -9. Let g = 3 - n. Let l be ((-2)\/(-6))\/(2\/30). Put -2, g, l in increasing order.\nAnswer: g, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:05 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-144))\/(1\/2)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 8*u - 7. Let j = -13 - -6. Let i be p(j). Solve 0 = -2*a - i*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 - (-2)\/(-17)). Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3427*y - 147220 = 5395 - 5254 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146911 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242596620 rounded to the nearest one hundred thousand?\nAnswer: 1242600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 25, 15270?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1445.226852 + 1445.2. Round t to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 46 - 2295*y + 2294*y - 38 as l*y + p*y**4 + r*y**2 + v*y**3 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/((-28)\/(-30)). Suppose -2*z + 0*z = 3*k - 7, 5*z - 4 = -3*k. Sort 1\/5, z, a in ascending order.\nAnswer: z, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2 + -4 + -1. Let y be (-2)\/r + (-16)\/42. Are -1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82437 (base 9) in base 13?\nAnswer: 1b943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.455 litres in millilitres?\nAnswer: 5455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {l: 1, y: 1, v: 1, s: 4, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 29070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*v - 605463*a*v - 58*v + 1531 with respect to a.\nAnswer: -6*a**2*v - 605463*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-2)*320\/50. Let o(n) = 6*n - 236. Let f be o(42). What is the highest common divisor of p and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4\/5 - 448*y**3\/5 + 852*y**2 - 11552*y\/5 + 7744\/5 = 0.\nAnswer: -121, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 4*c**2 - c - 3. Let o be v(-3). Let u = o + -3. Calculate the highest common factor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14081528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d**8\/d)**(14\/5) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 9*a**2 + 3*a. Suppose -65 = 25*w - 165. Determine z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Let g(x) = 4*x**3 + 2. Let j be g(0). What is the biggest value in -4, c, j, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -850617.5812537 and -1.\nAnswer: -850618.5812537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:28 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191891 is divided by 191829?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -182, -950, -2220, -3986, -6242, -8982?\n\"Answer: r**3 - 257*r**2 - 4*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 28905?\nAnswer: 28905.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010310 divided by -566.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19513?\nAnswer: 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u - 3*g + 24, -68 = -5*u + 2*g. Suppose -5*y = -37 + u. Solve -z = -q - 4, q = -q - y*z - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from jjjmqmjmmqmmm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(1\/4)\/x)*x)\/x*x*x\/x**(-3))\/(x**(-3))**(-27\/2) assuming x is positive.\nAnswer: x**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1845, 2441, 3037, 3633, 4229, 4825?\n\"Answer: 596*n + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s + s + (2 - 2 + 2*s)*(0 + 0 + 1) + 3*s - s - 6*s - 3*s - 8*s + 4 + 9*s.\nAnswer: -3*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2. Let d(x) = -16*x**2. What is d(j(f))?\nAnswer: -1024*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7434 divided by -3?\nAnswer: -2478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5900428143 to the power of 1\/3, to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/7193250 and 93\/799250.\nAnswer: 7193250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 192687638 a multiple of 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 282636 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 + -214. Solve -k - 11 + 8 = x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5\/4 + 1137*u**4\/4 - 567*u**3\/2 = 0.\nAnswer: 0, 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:46 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 320, -2387, -2.\nAnswer: -2387, -2, -1, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, i: 2, n: 2, a: 2}. Give prob of picking 1 a, 2 n, and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2) + (-138)\/(-12) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -7, 49 in descending order.\nAnswer: 49, -2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 p when three letters picked without replacement from {p: 3, o: 1, r: 1, d: 2, e: 4, g: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 + -48.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpt when three letters picked without replacement from {p: 3, b: 2, w: 1, o: 1, t: 1, m: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.469 + 11.469. What is the fifth smallest value in -4, 4, b, -1.7, -0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127490 divided by 25498.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:53 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 5. Let y be c(5). Let k be 2\/(0 - (y - -2)). Let x = k + 5. Solve -x*o = o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/16 + 5\/1. Suppose -3*m = 2*r - 8, -2*r - 5*m + 7*m + 28 = s. Is r at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4789 - 4790. Which is the smallest value? (a) 4\/7 (b) 1\/6 (c) 8 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7001560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.93 and -18.\nAnswer: -19.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19445 - -894415\/46. Calculate the common denominator of 14\/3 and c.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n - 3. Suppose -n*b = -4*b. Suppose t + 0*t - 11 = b. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017029 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42021 or -41270?\nAnswer: -42021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**7\/t*((t*t\/t**(1\/2))\/t*t)\/(t\/t**(-7\/3)))\/(t**(9\/2)\/(t\/(t\/((t*t**(-3\/14))\/t)*t)))**(3\/11) assuming t is positive.\nAnswer: t**(4901\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16005.\nAnswer: 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 75 (c) 213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y. Let s(q) = 67*q**2 + q. Determine d(s(t)).\nAnswer: 335*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 41204125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) - (-7)\/(-12). Let s = 0.0987 + 4.9013. Which is the closest to x? (a) 0.2 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 + 3*t**2. Let n be f(5). Let a = 6 + n. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 622545 - 3?\nAnswer: 622542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-21)*t*t**12 assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 873*(16\/4)\/(-4). Let s = g - -2310. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -67*h + 384 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8 (c) 3 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 + 4*f**2 + 4*f**2 + (3 - 5*f - 3)*(4*f + 4*f - 3*f) to b*f + r*f**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 7, -6 in increasing order.\nAnswer: -45, -6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 281 + 245 = 5*k, 0 = 2*k - 4*c + 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 3*y**4 + 3*y**4 + (4*y**3 - y**3 + 0*y**3)*(2*y - y + y) - y**4 - 2*y**4 + 5*y**4 - 3 - y**4 + 3 + y**4 + 0*y**2 + 0*y**2.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1065318 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8327807 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 4:49 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*(-2)\/(3 + -1). Let x = -10 + g. Factor 4*b - b - x*b - b**2.\nAnswer: -b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 15. Let z(j) = -4*j**3 - 1. Let x be z(w). Let c = 8 - x. Solve 18 + 2 = -c*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 80*z. Let r(v) be the second derivative of 11*v**3\/6 + 78*v - 1. What is r(d(g))?\nAnswer: 880*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30230 + 417530 - 1962333 = -17697*u for u.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 11) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1022603890 + 366.4.\nAnswer: 1022604256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from {j: 1, v: 4, t: 2, i: 2, l: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6562 - -9366. Let f(t) = -2804 + 48*t + t**2 + m. Let b(w) = 3*w. Let g(u) = 2*u. Let z(n) = -3*b(n) + 4*g(n). What is f(z(d))?\nAnswer: d**2 - 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10470 and 90?\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14*m - 15*m + 0*m.\nAnswer: -29*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/3 + 138376*g\/3 - 1196744836\/3 = 0. What is g?\nAnswer: 17297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6541237791 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -107. Let r = -387 - -382. Sort 7, r, b in increasing order.\nAnswer: r, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 + 6*o - 6. Let u be j(5). Let r be u*3\/2*-4. Let m(n) = -3*n**2 - r*n - 4 + 4*n**2 + 3*n + 2*n. Determine m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456 = 6*p + 2*p. Let j = -17 - p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r - 3*v, 2*r + 0*v + 8 = -2*v. Suppose r = 2*a, 4*q - 5*q + 3*a = -5. Solve 5 = -q*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -s - 0*s. Let d(w) = 15*w - 1. What is the remainder when s\/(2 + 1) + 0 is divided by d(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/160 + (-17070)\/3312 + (-2)\/2 + 6?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(h**4 + 3*h - 3*h) + (6 - 7 + 0*h + 2*h)*(h**3 - 7*h**3 - 3*h**3).\nAnswer: -14*h**4 + 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 7*h - 4. Let l(w) = 5*w**2 - 8*w - 5. Give 6*k(j) - 5*l(j).\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1 + 5 + -7 + (44 - -5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 10) to base 5\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16802 - 19990 = 550*d - 2692 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2501, 4979, 7435, 9857, 12233?\nAnswer: 14551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5459677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 68382.\nAnswer: 1\/22794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 378529128.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4857219.\nAnswer: 3, 179897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 763*w**3 + w**2 - 1. List the prime factors of a(1).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-3 + sqrt(153)*-1 + sqrt(153) + sqrt(153) - sqrt(153)) + -2 + -2 + sqrt(153)*-4 + 2)*-1)**2.\nAnswer: 1080*sqrt(17) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 88 = 2*l, 267 = 4*l + 4*a + 91. Find the first derivative of -b - l - b + 35 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 9306*r**2 + 37185*r + 27882.\nAnswer: 3*(r + 1)*(r + 3)*(r + 3098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 4*q**2 - 2*q - 2. Let h(d) = -3 - 5 + d**3 - 9*d**2 + 6 + 8*d + 1. Let z be h(8). Let c(o) = -o**2 - 1. Determine z*y(x) + 2*c(x).\nAnswer: 2*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 16*q + 9. Let y be g(-8). Suppose 90 = y*n - 18. Calculate the remainder when n is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -396 + 406. Solve t = r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12809 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)\/v)\/(v\/v**4*v)*v\/(v**(6\/7)\/v)*v\/(v\/v**(-9))*v*v)**(-2\/19) assuming v is positive.\nAnswer: v**(124\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2406, -4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 284755673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12411014 - 1?\nAnswer: -12411020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49\/9? (a) 0.1 (b) -2\/27 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggy when four letters picked without replacement from {g: 3, i: 10, y: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38494?\nAnswer: 2, 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (366\/18)\/((-2)\/(-36))?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -228 - -234. Solve h + 4*c + m = 0, -4 = 4*c - 0*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*c = 98*c + 5*o - 17, 5*o = -c + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18570000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + (-4)\/10. Let w be -1*(-2 - (l - 2)). Solve 3*v + 3 = -w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*g + 15. Suppose 0*c + 2*m + 8 = 2*c, g*m + 22 = 5*c. Suppose c*h - 112 = 293. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3275*v**2 - 3275*v**2 + 98*v**3.\nAnswer: 98*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 36669?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-6 - -15)) + (40 - -10) + -7.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 313 (b) -0.1 (c) -1\/62 (d) -1\/2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3*b + 4*b + 3 - 3 + b + (4 + 1 - 3)*(-2*b + 4*b - 3*b))*(3 - 14 - 5)*(-8*b + 5*b + 7 + b).\nAnswer: -96*b**2 + 336*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/70 + 4\/10. Let i = -24 - -25. Let l = 2 - i. Which is the closest to 0? (a) q (b) 3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 8*d. Let h(a) be the second derivative of a**5\/60 - a**4\/8 + a**2 - 3*a. Let o(m) be the first derivative of h(m). Give -3*j(n) + 8*o(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3131 + -2230331201?\nAnswer: -2230322010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.7 take away -88?\nAnswer: 42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/2541 and -20\/47817.\nAnswer: 525987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*p*y**2 - 9*n**3*p*y + 3*n**3 - 4246*n**2*p**2*y**2 - n**2*p**2*y - 3*p*y wrt y.\nAnswer: -2*n**3*p - 8492*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 4*l + 13*k - 19427, -9 = 3*k. List the prime factors of l.\nAnswer: 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + -85 - (-1)\/((-2)\/(-4)). Let n = -86 - l. Let b(f) = 0 + 2*f**3 + 2 - 3*f**3 + 5*f**2. Determine b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66235745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3\/8, -4, 5, 18\/5, 2.\nAnswer: -4, 0.07, 3\/8, 2, 18\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-28) + (-1)\/(-4). Let m = p + 59\/63. Let x = 365.2 - 365. Which is the nearest to -2\/3? (a) -0.4 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 10. Let s = 15 + c. Let n = -53.5 - -53. Sort n, 0, s in descending order.\nAnswer: s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035431634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - a**2 - 5*a + 2 - 5. Let d be v(-5). What is the units digit of (-25)\/10*2\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s, -76*s - 33146 = -4*l - 74*s. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - 1.9.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, 1\/7, 1, -6740?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*d + 69*d - 3792 = -19*d - 40332 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(1920\/(-28))*1356\/(-4746).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y - 2. Suppose -66*n - 20 = -76*n. Let i(f) = -f**3 + 2*f**2 - 3*f + 8. Let g be i(n). What is v(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200.82 kilograms to micrograms.\nAnswer: 3200820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 12*f + 4. Let m be g(9). Let a = m + -51. What is the greatest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 83. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3 + 1101090*r**2 + 1101095*r = 0.\nAnswer: -1, 0, 220219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 26 + 25 - 488*r**3 - 640*r**3.\nAnswer: -1128*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5, -3, 4 in increasing order.\nAnswer: -5, -3, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/4 + 27. Let o = -0.7 - 4.3. Which is the biggest value? (a) g (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 21*m**2 + 2*m + 2. Let g(p) = -p**3 - 10*p**2 - p - 1. Let w(b) = 7*g(b) + 3*o(b). Let a be w(-7). Let i = 9 - a. Solve i*q = q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, 2511, 0, -4.\nAnswer: -209, -4, 0, 2511","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6 + -857 + -3. Let a = y - -1421. What are the prime factors of a?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 438 and -33471.1.\nAnswer: -33033.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45904 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*b. Is (0\/((-16)\/b) + 2)*20 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 0, 2*p + 3 - 15 = 4*w - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 213*g - 2346. Give i(12).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**0\/w))\/w)\/(w\/w**14))\/((((((w**(-6)\/w)\/w)\/w)\/w)\/w)\/(w\/w**(-4\/5))) assuming w is positive.\nAnswer: w**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 - 7*t - 7. Let y be n(-8). Suppose 4*q = 5*b - 249, b + 0*q - q = y. Suppose b = 3*x - 67. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1\/3, 1.7, 7, -1\/2, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22262, -22312, -22458, -22748, -23230?\nAnswer: -23952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:34 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -0.0145 (b) 1 (c) -1\/9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5 + 3\/5*z**2 - 3\/5*z = 0. Calculate z.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 13*i + 14. Determine q(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 3 (c) -9712.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407208874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14560 and 41103790?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -27*t - 1078. Let i be d(-40). Factor 2\/5*m**i + 32\/5 + 16\/5*m.\nAnswer: 2*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 - -153. Let t be 2\/o - 1817\/253. Let d(r) = -r**2 - 6*r - 5. Determine d(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 3, i: 1, s: 1, u: 2}. Give prob of sequence huud.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 12 = -21*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 41, 3, -2 in ascending order.\nAnswer: -2, 3, 25, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5600, 11237, 16874?\n\"Answer: 5637*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/435212 and -59\/6.\nAnswer: 1305636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 10*o + 16. Let z be y(-7). Sort -16, -3, z in ascending order.\nAnswer: -16, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 42*n**2 - 588*n - 256. Let d be b(-53). Suppose -52 - 6 = -2*x. Let u(v) = d*v + x - 29. Let o(q) = -6*q**2. Determine u(o(s)).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 45, 62, 77, 90, 101?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5 - 42644828*t**4\/5 - 15154892956952*t**3\/5 - 6870178869392*t**2 - 8082558024256*t\/5 = 0. What is t?\nAnswer: -710746, -2, -4\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46317 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127840, 127919, 127998, 128077?\nAnswer: 128156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756 by -3.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + 12*s - 15. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q - 5. What is the tens digit of t(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.6. Let y = 192.1 - 187.1. Which is the fourth smallest value? (a) u (b) -1\/3 (c) 3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337386719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3660729 - -26.008\nAnswer: 3660755.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 1. Let n(a) = -a - 33. Let g(z) = -2*i(z) + n(z). Let y be g(0). Let x = -8 - y. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.1. Let m = 0 + -4. Put v, -5, m in ascending order.\nAnswer: -5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160144*o**2 + 21*o + 65740741 with respect to o.\nAnswer: 320288*o + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 0*i)*(-1 - 1 + 5)*(-34 - 34 + 9).\nAnswer: 177*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1654 in 0.4, -0.3, 5, -5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Suppose k*m + 5 = m. Suppose 5*q - m*t - 75 = 0, -7*q + 4*q = 5*t - 61. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1747, -1783, -1843, -1933, -2059, -2227, -2443, -2713?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20436370 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641800265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/741 and 55\/312.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 195250*b.\nAnswer: -5*b*(b - 39050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwmmmmmmmmmmmmmmmwm. What is prob of picking 2 m?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23247132.\nAnswer: 2, 3, 1937261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841604 to the power of 1\/2, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367.1 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, -3.63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/5*50\/4. Let x(a) = -3*a - 15. Let b(m) = 13*m + 60. Let s(j) = -2*b(j) - 9*x(j). Let n be s(k). Solve -n*t + 2 = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzzduzduzddzz. What is prob of sequence zuz?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 4*w + 17, 131*g - 2*w - 6 = 129*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0 - f**3 + 0 - 3. Let j(d) = 4*d**2 + 10*d - 10. Let n(v) = v**2 + 3*v - 3. Let z(r) = 3*j(r) - 10*n(r). Calculate z(k(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*a - 266 wrt a?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*g - 5*k + 49103 = -142*g, 3*g - 3*k - 36807 = 0. What are the prime factors of g?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6466 + -1991.6466. Is q at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a = -11 - 85 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 7. Let j be h(-8). Let w be (0 + 4 + -4)*j\/(-2). Solve -u + 5 = -w*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-16)*36\/(-378)*(-81)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746084047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595503 = -68*m + 472369. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - g. Let q(y) = 58*y**2 + 2*y - 1. Calculate -3*m(a) - q(a).\nAnswer: -49*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17101262089741 minus 0.4?\nAnswer: 17101262089740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2595, 4228, 5299, 5814, 5779, 5200, 4083, 2434?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 36 - (-5 + -1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:37 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 1*(sqrt(252) + 1*(sqrt(252) + (sqrt(252) - sqrt(252)*-3)**2) + -5*(sqrt(252) + -1)).\nAnswer: -18*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/3))\/r*r)**(1\/20))**(7\/6) assuming r is positive.\nAnswer: r**(7\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3*d - 2. Let g be u(-2). Let p(h) = 81*h**2 - 31*h**2 - 29*h**2 + 7*h + h**3 - 29*h**2 - 3 + 14. List the prime factors of p(g).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-24\/5))\/(b**24*b*b))**(-33) assuming b is positive.\nAnswer: b**(4917\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 40.38. Let h = -0.08 + n. Let p = h - -0.2. Which is the second smallest value? (a) p (b) 1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241678448915 + -0.5.\nAnswer: 241678448914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3. Let g(s) = s**2 + 2. Let d(n) = -4*f(n) - 6*g(n). Let j = -26 - -31. Let l(w) = 11 - 16 + 5 - j*w. Calculate d(l(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*o = 152*o + 4*n + 44, -1360 = -49*o + 4*n for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (-5 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2\/31, 0.53, 0.08, 4.\nAnswer: 2\/31, 0.08, 2\/17, 0.53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61636*v - 14*v**5 + 5*v**5 + 61671*v + (-5*v + 2*v + v)*(-2*v**4 + 2*v**4 - v**4).\nAnswer: -7*v**5 + 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*b*x - 11723685*b - 242984*x wrt x.\nAnswer: 54*b - 242984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235 + 235 + 83*f**2 + (-f - 3*f + 3*f + (-3*f + 2*f + 3*f)*(0 + 3 - 1) + 0 + 0 - f)*(-f + 3*f - 3*f).\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*q - 1 - 4, 3*q + 15 = 3*i. Suppose 2*a - i*v - 87 = -2*a, -2*v = -a + 24. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 11229*m + 22454. Determine z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 2*v**4 - 2*v**2 + 0*v**4)*(4*v - 2*v + 0*v).\nAnswer: 8*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 627716974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 3\/4, -4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25*200\/(-60))\/(4\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - 3*r, 3*r = -4*z - r + 20. Suppose b + 2*q = -3*q + 14, 4*b - 4*q = 8. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 409*r**5\/5 - 834*r**2 - 489. What is the second derivative of s(k) wrt k?\nAnswer: 4908*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8136 and -5?\nAnswer: 4.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 18 = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1 + sqrt(128))*6 + sqrt(128) + (1 + sqrt(128))*3))**2.\nAnswer: 51840*sqrt(2) + 463716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2)\/(4 + -1). Let w(y) be the third derivative of -2*y**2 - 1\/6*y**3 + 0 + k*y + 1\/24*y**4. Differentiate w(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 34*b**2 + 17*b - 5. Let n(m) = 4*m**3 + 38*m**2 - 16*m + 4. Let q(c) = -5*n(c) - 6*s(c). Factor q(h).\nAnswer: -2*(h - 5)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.9 - -20.7. Let y = b - 2. What is the nearest to 6 in y, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 2:19 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015647113 to six decimal places.\nAnswer: 0.015647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1299 and 18.\nAnswer: 7794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -30 (b) 5\/3 (c) 9\/5 (d) 2\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305350 is divided by 9542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = 35*n + 72. Solve 11*s + 19*s + 19*s + 44*s**2 - 4*s**3 - n*s + 7*s = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 72. What is the remainder when 29 is divided by t(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 347\/((4\/24)\/((-1)\/3)). List the prime factors of (-11)\/(11\/r)*-1*-1.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2. Let k = 9 + -7. Calculate s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = t - 0*t - 3*z, -3*z = -3. Suppose -u - t = -4*s + 37, 0 = -2*u - 8. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 109*w - 108*w + 3*w**4 + 6*w**2 - w**3 to z*w + c*w**2 + m*w**4 + b*w**3 + r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*y - 1325428 = 23*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqkqkqkkbqqkqbkqqk. Give prob of picking 1 q and 1 b.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/65*(-72)\/96?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4449684 and 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2965 or -1?\nAnswer: 3\/2965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24742470.99533 - 24742337. Let u = -134 + f. Round u to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614709, -1229409, -1844109, -2458809, -3073509, -3688209?\nAnswer: -4302909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.91493885 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -49605*w + 1190524. Determine b(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/4 + 11\/22. Put 1, a, 4, 2 in descending order.\nAnswer: 4, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/5 - (-46)\/10. Let i(y) = y**3 + y**2 - y + 1. Let m(o) = -6*o**3 - o**2 + 5*o - 5. Let s(p) = -4*i(p) - m(p). Is s(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 21. Suppose -v*a - 2*b = -2, -4 = -4*b + 8*b. Let 2\/3*u + 0 + 2\/3*u**a = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3495 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4191*20787.\nAnswer: -50285.8317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 4*k**8\/21 - 16*k**7\/35 - k**6\/2 + 29*k**5\/15 + k**4\/2 - 6*k**3 + k**2. Factor b(c).\nAnswer: 4*(c - 1)**3*(4*c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 256 = -122. What is the lowest common multiple of r and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-25)*s*s\/(s*(((s**(3\/2)\/s)\/s*s)\/s*s)\/s*s)*s**(-8)\/s**(8\/5) assuming s is positive.\nAnswer: s**(-341\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 151*j - 28 - 290*j + 141*j + 47.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.005 (b) 1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 1:04 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**8\/28 - 13*o**4\/24 - 15*o**2. What is the second derivative of m(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18a198 (base 14) to base 6\nAnswer: -30413150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10130034 to the nearest integer?\nAnswer: 3183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**3 + 2*y**3 - 31*y**3.\nAnswer: -71*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/6 - 8\/(-88138). Let r = 5332029\/3525520 + y. Let d = -5\/16 + r. Is d smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/5 - 7*s**4\/5 - 12*s**3.\nAnswer: s**3*(s - 12)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 8056?\nAnswer: 8056.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22329 or 29642?\nAnswer: 22329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 32 = 5*f. Suppose -29 = -g + 4*c, -3*g + f*c = 4*c - 63. Are g and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3301564 = 4*y - 2*x, 4126936 = 5*y + x. Suppose -4*o + y = 4*k + 105380, 5*k - 360010 = -2*o. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 3. Let u(s) = -90*s - 1075. Let k be u(-12). Let g be 40\/(-7) + (-6)\/21. Put g, k, d in decreasing order.\nAnswer: k, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 11 (c) -1\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652124*n = -652129*n - 4*y + 19, 4*n + 9*y = 50 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 9237607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.58 - 12. Round w to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:16 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24958500 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -28, 7, 1, 5, 313 in decreasing order.\nAnswer: 313, 7, 5, 2, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9*v + 24. Let j be (-51)\/(-34)*(-292)\/v. Suppose 5*h - 7 - j = 0. Calculate the lowest common multiple of h and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 4) in base 6?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 10106483.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13677 - -3?\nAnswer: -13674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*f**2 + 58 - 58 to o*f + x + i*f**2 and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1325 (base 6) to base 3.\nAnswer: 110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 107 = 69*y + 3 + 306 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3613112 and -37\/72.\nAnswer: 32518008","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 157*i - 14661. Give w(91).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/4 + z**3 - 2*z - 11. Let d = 84 + -86. What is l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16.44 in -446, 2\/9, -3\/116?\nAnswer: -3\/116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 440\/16 - ((-589)\/(-38) + -15)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 7210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.50755 millilitres?\nAnswer: 0.06550755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 732259 or 2929039\/4?\nAnswer: 2929039\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*d - 6 = 54, -d = 3*a + 22. What is the nearest to -1\/4 in a, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + 11 - -25) + 23\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1 + 0*m + 0*m. Calculate n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15568625 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 54114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0488 - 0.0488. Which is the third smallest value? (a) 15 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5701 = y, g + 2*y = -g + 2290. What are the prime factors of g?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101330332201 (base 4) to base 11\nAnswer: -2724932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90207 + -10?\nAnswer: -90217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d + b + 10 = 0, 0 = d - 5*b + 10. Let q(x) = -2*x + 19. Does 7 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.45\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3762 and 3078?\nAnswer: 33858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 684*t**3*v**3 - 3*t**3*v**2 + 4*t*v**3 - 2*t*v**2 + 6062*t + 108*v**4 - 2*v**2 + 2*v wrt v?\nAnswer: 4104*t**3 + 24*t + 2592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232557356?\nAnswer: 2, 79, 89, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28522\/26 + -5 + -1. Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 160*u - 2. Let h be 0 + 2 + 8\/(-2) + 4. What is the units digit of z(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/4)\/(375\/30)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = 2*v - 41, -2*t = 0. What is the lowest common multiple of 6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 + 74924*p**4\/7 + 4031218*p**3\/7 + 4930616*p**2\/7 - 969752*p - 2248480\/7 = 0. Calculate p.\nAnswer: -52, -2, -2\/7, 1, 5405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = -15. Let f(h) be the third derivative of 5*h**4\/24 - 2*h**3 - 2*h**2. What is the remainder when f(7) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*t**3 + 8*t**3 - 19*t**3.\nAnswer: -97*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 87 = -6*r. Let o = r - -61. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4)*8\/(-12). Let z be ((13 - -2) + c)\/2. List the prime factors of (-3)\/9 + 80\/z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3476)\/231 - (-4)\/(-14). Is j < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z**2 + 21*z + 1. Suppose -6*m - 6 = -4*m. Let f(k) = 14*k**2 - 20*k. Let i(o) = m*f(o) - 2*c(o). Find a, given that i(a) = 0.\nAnswer: 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 346550 and 3074?\nAnswer: 18367150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254209824 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/5 + 84*t**4\/5 - 76*t**3\/5 - 84*t**2\/5 + 16*t = 0. Calculate t.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1384 and -49\/5.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.785831 minus -5?\nAnswer: 15.785831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21291226 and 2.\nAnswer: -42582452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j**3\/13 - 177552*j**2\/13 - 938118*j\/13 - 253540\/13 = 0.\nAnswer: -12677, -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3\/7, -5, 0.0183723, 2\/3.\nAnswer: -5, -2\/3, 0.0183723, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -21. Let s = 2.05 + -0.05. What is the third smallest value in s, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -216, -647, -1146, -1713, -2348, -3051?\n\"Answer: -34*z**2 - 329*z + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(-1*sqrt(7)) - (sqrt(72)\/(sqrt(81) + sqrt(9) + sqrt(9)) - sqrt(8)))\/((sqrt(36) + sqrt(4))*5 + 4*sqrt(4)*2).\nAnswer: -sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 + o**2 + 2. What is the units digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.1 - 13. Let y = -4 - -3.8. Which is the second smallest value? (a) -3\/4 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -422183*k**2. Let l(v) = 4*v. Calculate l(i(m)).\nAnswer: -1688732*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.61 - 3.31. Round g to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 9 = 3*j, -2*j + 0 = -4*a + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 160 = 10*u. Suppose 0 = 5*b - u*b + 2715. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 2*n + 88. Let t(j) = -8*j**2 + 8*j - 257. Calculate 7*i(b) + 2*t(b).\nAnswer: 5*b**2 + 2*b + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-68))\/(((-216)\/(-324))\/(4\/70)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 7, n: 7}. What is prob of sequence nznn?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 380393753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 22. What are the prime factors of i(13)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 + c + 20. Let r be (0\/(-1))\/(-1*(-3 + 0)). Let y be a(r). Let m = y + 160. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 3. Let x(n) = n**2 + 5*n + 7. Let v be x(-6). Let h(m) = -v + 28 - 16 + 2*m. Give -7*h(j) + 3*z(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -217 - 563. Suppose 4*n - x = -2*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**3 - 26*h**3 + 11*h**3 + (159*h + 34*h - 145*h - 14)*(3*h - 3*h + h**2) to g*h + f + u*h**2 + n*h**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3224 = -v, 2222 + 990 = -4*h + 2*v. Do h and -804 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 3*u**2 - 25*u + 24. Let o be a(10). Let l be -5*1 - o\/(-238). Let p(z) = -z**2 + 5*z - 3. Let s be p(3). Which is bigger: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40493 - -40631. Solve -16 = 4*o - 3*i, 0 = -134*o + r*o - 4*i + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*b = -324 - 1244 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -31, -47, -67, -91?\n\"Answer: -2*a**2 - 6*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-211978)\/(-93) + 8\/(-6). Calculate the highest common divisor of y and 1206.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*z - 9. Differentiate 29*g**2 - 63*g**2 + 28*g**z - 5*g**3 - 70 wrt g.\nAnswer: -15*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*855\/(-1620)*3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 30 - 37 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258 - -393. Suppose 4994 = 2*a + d, x = 5*a + 3*d - 12349. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 6*n - 6. Let k be b(-2). Let g be (-48)\/(-2) - (k + -2)\/3. Calculate the greatest common divisor of g and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 1288 = 584. Let k = i - 163. Let j(m) = m**3 + 6*m**2 - 6*m - 5. Give j(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.4 + -15. Let x = j - -7. Let a = 1.4 - x. Sort -2\/7, 0.4, a.\nAnswer: -2\/7, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815554 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: Which is smaller: -2801 or 70977?\nAnswer: -2801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*k - 17*k - 72*k + 5*k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n. Let f(w) = 6*w**2 + 90*w - 171. Calculate -f(z) - 15*l(z).\nAnswer: 9*z**2 + 171","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -20, 10*n + 2 = -3*s + 5*n. Let w be ((-3)\/s)\/((-5)\/20). Solve w*i + 8 = 3*v, -4*v + 12 + 8 = 2*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6182 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -7 (b) -72 (c) -0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 161. Let w = 68.9 - q. Let v = w - 1.3. Round v to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 613 - 96855\/158. Let t = k - 309\/1106. What is the closest to t in 0, 5, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 + 276. What is the remainder when p is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b723 (base 16) in base 5?\nAnswer: 112140020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/17*6\/36*(4 + -2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 2\/5 (c) -0.119647 (d) 2 (e) -1004\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 1. Let u = 2 - 3. Suppose -138*v + 58*v + 5280 = 0. Calculate the smallest common multiple of v and q(u).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4 = 22*c - 24*c, -2*x - 2*c - 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.0793\nAnswer: 0.00793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(-27\/4) assuming k is positive.\nAnswer: k**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17232433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9360 = -w. Suppose -2*d = 2*j - 1150, 3*d + w = 7*d - 4*j. Calculate the common denominator of d\/72 + -3 - (-2 - -4) and 41\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.9*-269.08.\nAnswer: -22306.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -2 + 0 + -1*sqrt(108)*-3)**2 + -1 + (4*sqrt(384))\/(6*(sqrt(8) + sqrt(32)\/sqrt(4) - sqrt(8))).\nAnswer: -280*sqrt(3)\/3 + 1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*k + 14, 0*y - 8 = -4*k + 2*y. Let l = -197 - -197. Let v be (-1 - (-1 - k)) + (-4551 - l). What is v rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 + 313 = 18*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3096)\/48)\/((-2)\/12)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) - (-199)\/(-2). Let u = z + 390. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*d + 109*d + 225. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 22*k**2 - 67*k + 159. Give p(3).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8, 5*v + 3*t - 9 = 2*v. Is -2 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 800\/(-1128). Suppose -6*v + 127 - 13 = 0. Let i = 20 - v. Is i greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/((-27)\/(-8)))\/(4\/6). Suppose 0 = -f*l - 12 + 12. Let b(c) = c + 53. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5364 by 36.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-78))\/((-1)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 8 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z = 51*z - 2769990. Let j = z + 3454995. What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 1, d: 1, c: 2, s: 4}. What is prob of picking 2 c and 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3728 + 1216. Suppose -6*c - q = -9*c. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 22*w**2 + 77*w - 16. What is the thousands digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*z + 4*k, 3*z + 2*z + 2*k - 160 = 0. Differentiate 28 - 91 - 35*s**4 + z with respect to s.\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475136 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9 - (-1 + 795\/135)) + 445\/95.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 100 + 173 + 70 + 3*c - 5*c + 6.\nAnswer: -2*c + 430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.8679367 rounded to one dp?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 + 8.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:34 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2516)\/10 + 26 + -32. Let i = 258 + r. Let u = 1.8 + 0.2. What is the third smallest value in 1\/8, 0.5, u, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - f0cd?\nAnswer: -f0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**2 - 3. Let s(r) = -r**2 + 1. Let d(o) = 12*s(o) + 4*w(o). Let b(a) = a**2. Calculate d(b(g)).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-1)\/(-1))\/(-1). Let r be (0 + w)*(3 + -2). Find the second derivative of 2*x**5 - 3*x**5 + r*x - 2*x wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1338 and 86078.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 21*k - 31395 = 4*u, -25116 = -4*k + 4*u. List the prime factors of k.\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, q: 1, h: 1, i: 2, f: 2}. Give prob of sequence qs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 8)*(-146 - -149 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 35. Calculate j(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 12:39 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 25 in descending order.\nAnswer: 25, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 9}. What is prob of sequence aa?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5*n - 4*l**5 - 4*l**2 + 291*l*n - 2*l wrt l.\nAnswer: 20*l**3*n - 80*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1000 - 8357?\nAnswer: -7357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-400)\/(-18) + (-10)\/45. Let h be ((-22)\/o)\/((-1)\/9). Suppose -h = -3*n + 21. Solve -2*d + 2*b + n = 0, -4*d - b + 6 = 2*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 7, 7872 in increasing order.\nAnswer: -4, -1, 7, 7872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**3 + 13*p**2 - 9*p + 9. Let a(x) = 2*x**3 - 3*x**2 + 2*x - 2. Suppose -b + 69 = 67. What is b*c(m) + 9*a(m)?\nAnswer: 4*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xth when three letters picked without replacement from sxsxhtxhshhh?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15969 - -143671\/9. What is the common denominator of 59\/519 and r?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 2065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 217620.9mm?\nAnswer: 217620900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/110 and -13\/1850.\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 5, -11379, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30914.6 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -242, 0.2, 6, -2\/15, 5, 3\/4, -0.24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/23222490 and 149\/24.\nAnswer: 92889960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23222*f - 21499*f + 42394*f + (0*f + 0*f + 3*f)*(-4 - 1 + 3))*(-2 + 2 + 2*f) to the form k*f + d*f**2 + s and give d.\nAnswer: -4666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 3. Calculate the lowest common multiple of 33 and f(5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyfyoyfyfooo. Give prob of sequence foy.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 3*h + 4. Let i be ((-32)\/(-18))\/1 + (-54)\/(-243). Let n be 17\/(-51) - i\/3. Let a(m) = m**2 + m - 1. Calculate n*t(j) - 3*a(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200349 = 74*z - 35*z + 74*z. Is z 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 -175083563*j**2 + 30*j + 3023633 wrt j.\nAnswer: -350167126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1920, -1926, -1934, -1944, -1956, -1970, -1986?\nAnswer: -2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3936588 by -38594.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/4 - 5895*d\/4.\nAnswer: 5*d*(d - 1179)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -19, -20, -21, -22, -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*c**2 - 8\/5 + 4\/5*c = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1393 + 1404.81. Let p = n + 0.19. Let q = 11.7 - p. Which is the second smallest value? (a) -3 (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45, -4.375, -0.5?\nAnswer: -4.375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7759*k**5 - 9170*k wrt k.\nAnswer: 155180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*u - 30. Let h be 1 + (-7)\/u - (-6786)\/90. Calculate the highest common factor of 30 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-33) - 120\/297. What is the nearest to -5\/4 in -4, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -155*w - 296. Suppose -y + 16 = y. What is the lowest common multiple of a(-2) and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/360 - c**5\/40 + c**4\/3 - 4*c**3\/3 + 5*c**2. Let i(a) be the first derivative of j(a). Is i(5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**2 + 24\/25*u**5 + 2\/15*u**6 + 0*u + 13 + 32\/15*u**3 + 12\/5*u**4. Find i such that j(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 358568.\nAnswer: 145\/358568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((sqrt(180) - (sqrt(180) - (-1 + (-2*sqrt(180) + sqrt(180) + sqrt(180))**2 - sqrt(180)) - sqrt(180))) + -2*sqrt(180) + 4) + -3.\nAnswer: -8 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -18. Suppose 5*q - 3*g - 41 = 0, s*q - 11 = -0*q + 3*g. What is the highest common factor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -129*q + 6065. Let m be i(47). Find j such that 1\/4*j**m + 225\/4 - 15\/2*j = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 13. Let z(h) = h**2 + 7*h - 12. What is the units digit of z(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -37565?\nAnswer: 638605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + (-264)\/9. Let p be (2\/(-6))\/(2\/z). Suppose -w = -u - 21, 4*w + w = 3*u + 103. Solve 2*f = p*j - 4 + 21, w = -4*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -1, 23, 49, 77?\n\"Answer: p**2 + 19*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-32) - (-4 + 3\/(-12)). Suppose 4*s = -4*i + 24, -4 - 11 = -s - 4*i. Solve s*h = f*g - 2, 3*g - 4 = 2*h - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -13 + 0 - (9 + 0) - 21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j + 52. Let x be q(-34). Suppose -365*h + x*h + 7287 = 0. What are the prime factors of h?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prbbrpttvpctbr. Give prob of picking 1 c and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5808.4008 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q + 2703 = 19*q + 1149 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, 70, 153, 206, 223, 198, 125?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + 2*(2 + sqrt(704)) + sqrt(704))*-3)**2*-5.\nAnswer: -285440 - 5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558462 is divided by 27779?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/14644 and -9\/14.\nAnswer: 14644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1200 or 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5147 + 8055. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6)*(4 + -1). Suppose -2*w - f + 4 = z, w + 5*z = -12. Suppose 2 + w = -i. Sort -7, i, 2 in decreasing order.\nAnswer: 2, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4696773, 4696767, 4696751, 4696719, 4696665?\n\"Answer: -v**3 + v**2 - 2*v + 4696775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 62067.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8110*w - 765. Is q(43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854036 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 47*l + 961. What is the remainder when t(-18) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (21\/(-14) + 1)\/((-2)\/172)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 5*a**4\/8 - 11*a**3\/2 - 12*a**2. Is x(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-850)\/(-2)*(-5)\/30*-6 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -869737*h**3*p**2 + 74*h**3*p - 196*h**2*p**2 + 843167*h**2 wrt h?\nAnswer: -5218422*p**2 + 444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67455, 138810, 210165, 281520, 352875, 424230?\nAnswer: 495585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 35*z**2 + 6*z. Let l(n) = -n. Let c(u) = -4*u**3 - 29*u**2 - 53*u - 3. Let q be c(-4). Determine q*x(y) + 6*l(y).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 1 - 2*p**2 + 3 - p**2 to h + z*p + v*p**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 84 = -21. Let c(r) = 5*r + 79. Let f be c(-15). Suppose f*z + 4*s - 112 = 0, -2*s + l = 4*z - 5*s. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -1 + 3. Let h = k - -6. Suppose -h*o = -8 - 20. Solve -z - 4*r + 13 = 0, r + o + 1 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = j - 11, -4*j + 4*a + 4 = 2*a. Let d = j - -2. Suppose 5*s + d*x = 630, 5*s - 2*s + 2*x = 379. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2. Let b(x) = -38*x**2 + 37. Let h(k) = b(k) - 3*r(k). Find the first derivative of h(s) wrt s.\nAnswer: -82*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from xkkrzx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9357, -37123, -83409, -148215, -231541, -333387?\nAnswer: -453753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p = 21 - 1028 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 7*c**3 - 3*c - 8*c**3 to the form j*c**2 + q + s*c**3 + p*c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202 + 215 - (12 + 2)) + (-29 - 1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 3*x + 61900. Let y be d(0). What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/24 + 23*w**3\/6 + 12*w. Let t(h) be the second derivative of j(h). Let m(p) = -5*p**2. What is t(m(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/(-98) - (-2)\/(-7). What are the prime factors of p\/5 + (-154)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)\/b*b)**(3\/4)*(b**(4\/7)*b)\/b**(-6))\/(((b\/(b*b**(4\/3)))\/(b\/((b\/(b*b\/(b*b**1)))\/b*b)*b))\/(b*b\/b**(-6)*b**(-3\/5))) assuming b is positive.\nAnswer: b**(3589\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -0.5, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-54)\/21 + 3 + 9300\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128322*n**3 - 4 - 14073*n**3 + 4.\nAnswer: 114249*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/475)\/(-17 - (-1596)\/95)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -30 + -36 + 55\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -682, -1574, -2822?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24 - 14 - 2 - 4*z - 12. Let b = -4 - -7. Let n be 1*(-2 + -4 + b). Determine h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*d = 24, 2*i + 7 = -4*d - 7. Let f(r) = -1. Let q(u) be the first derivative of 3*u - 3\/2*u**2 + 66. Give i*f(m) + q(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001 (base 2) in base 13?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290068 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 24 = -4*i + 3*t, -t + 5 = -i. Let o be (-1)\/(i\/12) + 0 - 110. Let j = o - -307. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045683.\nAnswer: 3, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -1\/32 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:15 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/14)*j)\/j**(-14) assuming j is positive.\nAnswer: j**(211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2*b - 3, -2*k - 477*b - 30 = -472*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/3992 and -121\/18230466?\nAnswer: 72921864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-n + 2*n**2 + n + (-2 + 1 - 1)*(3 + 3*n**2 - 3)) to the form b*n + p + w*n**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15340, 14305, 12586, 10189, 7120, 3385?\n\"Answer: s**3 - 348*s**2 + 2*s + 15685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1224433 and 1224439 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3323 or -29914\/9?\nAnswer: -3323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -r - 1, f - 2*r = -0*r + 2. Let y(n) be the first derivative of f*n**2 - 2 + 2\/3*n**3 + 0*n. Let o(x) = -2*x**2. Determine y(o(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9380775 by 145.\nAnswer: -64695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*m - 3*m - 195, 0 = -4*q + m + 391. Let x = 70 - q. Let i = 60 + x. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 14*x - 10. Let p be y(-3). Solve -r - p*r + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11041888 and 260832?\nAnswer: 33125664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3829539 and 357.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = -0*z. Let o(t) = t + 1. Let p(g) = -g + 4. Let v(f) = z*o(f) + p(f). Is 15 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 1121122?\nAnswer: 1122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(684)*-2 + sqrt(684) + 2.\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8013)\/((-45)\/5 - -6). Suppose -4*s = 695 - a. Is s greater than or equal to 495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7868*z + 2*x = -7863*z + 15, -3*z - 10 = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-265)\/106*(-5538)\/(-355)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 + 2*i + 15. Let p be t(-6). Suppose 2*g = 5*g - 6. Suppose g*r + 4*j + 15 = r, 2*r + 4*j + 10 = 0. Sort 0, 24, p, r.\nAnswer: 0, p, r, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100400 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3757, -1003 in descending order.\nAnswer: 2, -1003, -3757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -111*z + 206. Let l(t) = -t - 3. Let d(v) = b(v) - 2*l(v). Differentiate d(f) with respect to f.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 82 + 7 = 3*w, 0 = -h - 4*w + 20. Suppose 5*l - 1 = h. Suppose 0 = -l*x + 241 - 91. Calculate the highest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.93 + -4.03. Which is greater: 2295 or l?\nAnswer: 2295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 3:33 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.48503 + 0.02497. What is the biggest value in u, -0.3, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - 10)\/((-3 - -2)\/(-1)). What is the greatest common factor of u and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = h, 5*h + 3*d - 114 + 27 = -59 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6136811 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002249046238 to seven decimal places.\nAnswer: 0.0002249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -0.33. Let y be (1\/4)\/(4\/16). Let g = -2 + y. Which is the nearest to h? (a) 1\/10 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 83 - 75 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*-5)\/sqrt(3).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.0294mm to micrometers.\nAnswer: 78029.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13. Let k(w) = -2*w + 6. Let j be k(m). Calculate the common denominator of -41\/2 and j\/8*116\/66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(-1\/18))**(-4\/25) assuming q is positive.\nAnswer: q**(4\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-11\/7)*s)*s*s*s**(-9))\/(s**(-3\/4))**41 assuming s is positive.\nAnswer: s**(681\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 - 109*a**2 - 43*a - 252. Let y be p(-36). Solve m - 5*m + 5*k - 6 = y, 2*m + k = -10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k**3 - 44*k**2 - 113*k - 45. What is o(-2)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**6\/360 - y**5\/60 + y**4\/8 - 94*y**3\/3 + 94. Let l(t) be the third derivative of c(t). Solve l(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77337\/673 or 115?\nAnswer: 77337\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 91) + -1 + 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 602 and 37198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 955715430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i + 5*i - 2*m, -5*i - 5*m = -10. Let y = -4.94 + 4.9. What is the closest to -3 in i, -4\/5, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 21. Suppose -4*y - 5*c - 6 = 0, y - 6*y - j = 2*c. Let m be -7 - (y + 3 - -2). What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5 (c) -0.8994 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*91.\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105434 minus 228142?\nAnswer: -228141.894566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2466948484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.503 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/182*(-42)\/9*2.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4 = 2*p + 6, 2*q + 5*p = 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76c87 (base 14) to base 9.\nAnswer: 477760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 231\/6 - (-1)\/(-2). Suppose 16*m - b = 10*m. Solve -3*p + m = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + 4*f. Let q(g) = -g - 8. Let h be q(0). Let x(y) = -3*y**3 + 3*y**2 + 11*y. Determine h*z(r) + 3*x(r).\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + h - 4*h. Let n(l) = 4*l - 3. Let v(q) = 23*q - 17. Let x be (-1)\/(-1) + (-66)\/(-2). Let t(b) = x*n(b) - 6*v(b). Give t(i(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189178400 is divided by 4745?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z - 17*z**2 + 28*z + 22*z.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 + 11*l**2 - 2*l + 9. Let m(s) = 4*s**3 - 10*s**2 + s - 8. Let d(p) = 6*f(p) + 7*m(p). What are the prime factors of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000953055 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001101 - 0?\nAnswer: 11111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q**2 - 24*q - 10. Let c(v) = 4*v**2 - 5*v - 2. Give -14*c(s) + 3*i(s).\nAnswer: 4*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 6*s - 4. What is the units digit of w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 5*v**2 + 4*v + 22. Let j be r(-5). Let a(w) = 51*w - 3 - 116*w + 61*w + w**j. Give a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 356 + 278 = -s, -5*s = 3*o - 925. Let v = o + 55. Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*j - 735 = 20 + 429. Suppose 7\/2*f**j + 1\/2*f**3 - 90 - 12*f = 0. Calculate f.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1854\/(-48) + 4 - (-3)\/(-8). Let a be 4\/((m\/2)\/5 + 3). Let f(s) = s**2 + 8*s + 6. Give f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 502 = 5*l - 2*x, 0 = -3*l - 2*x + 506. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*j - 54 = -74*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -64. Suppose r = i + z, -5*z = -2*z + 9. Suppose -i = -k + 7. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.855778nm to centimeters.\nAnswer: 0.0000009855778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 49057457 and 1.\nAnswer: 49057458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8304, 18197, 28090, 37983, 47876?\nAnswer: 57769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378 + 14361\/38. Let j = 3630.6 + -3631. Which is the biggest value? (a) 2\/7 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -0.788 (c) -0.02 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 996 = 5*z - 3540, -7*w = 5*z - 2571. Calculate the remainder when z is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*a**3*x**3 + 17*a**3*x**2 + a**2*x**3 + 12*x**3 + 104*x**2 wrt a.\nAnswer: -510*x**3 + 102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*z + 41, 29 = -3*a - 9*z - 73 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 334123 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/13 in -1146, -3, 0.3, -6\/569?\nAnswer: -6\/569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-6) + (-3)\/(-2). Suppose -7*f = -2*f + 5. Put -4, 1, f, x in descending order.\nAnswer: 1, f, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1569 in 17\/3, -0.5, 0.1, 2\/7, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 439 + -127. Suppose z = 2*y - 4*d, -7*d + 170 = y - 2*d. What is the highest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - 64\/(-6). Suppose -k + s = 2*x - 0*x, -2*k - 2*x + 12 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(19\/3)*c)\/(c\/(c\/(c*c**(-5))*c)*c))\/((c*c\/c**13)\/c**2) assuming c is positive.\nAnswer: c**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 67 = 4*y. Let s be y\/6*2\/(-3). What is the third derivative of 3*o**2 + o**6 + 0*o**2 - s*o**6 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -592 + 604. Solve -s = 2*d - 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18048, 18292, 18536, 18780, 19024?\n\"Answer: 244*x + 17804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2232124766 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 44*v**2 - 1634*v + 71327. Calculate t(45).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -5 (c) -2\/19 (d) 1\/6 (e) 97\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**6\/360 + 8*x**3\/3 + 3. Let v(j) be the third derivative of r(j). Let s(c) = 3*c. Determine s(v(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11544564*m**2*q - 2971*m**2 + 10*m*q**3 + 18*m + 665 wrt q?\nAnswer: 11544564*m**2 + 30*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. Suppose -74*l + 9*l + 390 = 0. Let g(k) = k**2 - 7*k - 9. Determine l*o(v) - g(v).\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - 102\/(-9). Let n = 16 - t. Suppose -f + a - 3 + 4 = 0, -n*f = -a - 16. Let d(q) = -q**3 + 6*q**2 - 8*q + 4. Give d(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-10)*64\/48. Let s = 79\/273 + -1\/273. Which is the fourth smallest value? (a) s (b) -2 (c) -1\/10 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.55 - 1.33. Let k = 0.12 - o. Let x be 3\/2*8\/(-18). Sort 0.2, k, x in descending order.\nAnswer: k, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 12*t - 9*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14407831 rounded to the nearest 10000?\nAnswer: -14410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 + 152543*c**2\/8 - 5817112891*c\/8 - 17452711587\/8.\nAnswer: -(c - 76273)**2*(c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20401674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27996909 by 10.\nAnswer: -27996909\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-207)\/150 + (-6)\/(-4). Suppose -3*t + 2 = -5*c, t = 4*c - 0 + 3. Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - (-4 + 4) - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 minus -19762080.27642?\nAnswer: 19762002.27642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.098, -4\/9, 0.012, 0.1, 1\/2, 6?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 451439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 133, 1 in decreasing order.\nAnswer: 133, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obb when three letters picked without replacement from gogqbbzggzbh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/70 + x**6\/50 - 9*x**5\/50 - 7*x**4\/10 - 11*x**3\/10 - 9*x**2\/10 + 11*x. Find h such that m(h) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 930 - 927. Solve -n*d - 13 = -2*p, 0 = -3*p + d - 11 + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10370.9999994157 + 10371. What is m rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687142 at least as big as 687161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211.076 rounded to the nearest ten?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8215 and 4505?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z. Let v(f) be the second derivative of 11*f**6\/720 + f**4\/3 - 91*f. Let p(b) be the third derivative of v(b). Calculate p(x(r)).\nAnswer: 55*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4165?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 16*w**2 + w + 203. Is u(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -j - 325. Let u = 1964\/9 + j. Which is the nearest to 7? (a) -4 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h - 1. Suppose c - 2 = -0*c. Let s be w(c). Let u = s - -1. Solve 0 = -u*i + 10 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2139 divided by -23.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1940 divided by -1\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-3)*1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) + (-162)\/10. Let u be (4\/w)\/((-1)\/(-114)). Let x = u + 27. Sort 5, -4, x in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.08, -4\/7, -4 in descending order.\nAnswer: 3, -0.08, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*x - 2*q + 9, -3*q + 1 = x. Let b be (0 + 10\/(-4))*2\/(-4). Let n be ((-9)\/15)\/((-9)\/(-6)). What is the closest to b in 0.3, x, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5db (base 16) to base 9.\nAnswer: -2045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1520\/24)\/(-19) - -3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 22440*c**3 + 1011150*c**2 - 15174000*c + 75886875.\nAnswer: -(c - 15)**3*(c + 22485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -47\/3. Is k greater than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -577\/5. Let u = 20 + -16. Let f = -1.4 + u. Is l > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 686 - 672. Let a = -61 - -88. What is the remainder when a is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 11*x + 7. Let q(r) = 7*r**2 + 23*r + 14. Determine -5*i(c) + 2*q(c).\nAnswer: -c**2 - 9*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7 - p - p - p**2 - 2. Let j(g) = -2*g**2 - 4*g - 17. Let y(i) = i**2 - 11*i - 32. Let n be y(13). Determine n*j(q) + 11*a(q).\nAnswer: q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.0431844.\nAnswer: -0.4750284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 26 - 10)*(183*m - 183*m + 284*m**3).\nAnswer: -8520*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 9429439.\nAnswer: 9429438.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -373*u**3 + 3*u**4 - 2 - 150*u**4 - 35*u**4 + 371*u**3 - 84*u**4 to the form p*u + v + f*u**2 + w*u**3 + k*u**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/5)\/(4\/(-20)). Suppose -s + 27 = 2*m, 100 = 5*s + v*m + m. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 16131*s + 16128*s = 87, -4*c + 5*s = -136 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1758*w**2 + 2526*w**2 - 627*w**2.\nAnswer: 141*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -203482 (base 9) in base 4?\nAnswer: -131131223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:21 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 27*l - 4485342 + 7*l + 4485230.\nAnswer: 2*(l - 14)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 91.1. Which is the closest to -0.1? (a) 3 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/6, -5, -4, 7\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -373 + 5?\nAnswer: -36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*c + 40 = 0, -y = y - 5*c - 60. Suppose -3*h - y = 4*l, -3*h - 9 - 3 = 0. Let m be (-1)\/l*(-132)\/(-6). Solve -3*f = -j - 3, 3*j + m - 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11199105 and 2239821.\nAnswer: 11199105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600 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 s be (2 - 3)*-2 - 34. Let h = -15 - s. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 85*w + 1606. Let s be u(-19). Sort 21, s, 4 in increasing order.\nAnswer: s, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505 + -493 + (-5 + 0 - 48)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uggug. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 0.3, -5, -33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2306561 + 5052?\nAnswer: -2301506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 8*s + 18. Let m = 7867 - 7877. Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4044609 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/60 - (2 - (-10772)\/15). Let g = -393 - y. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 17. Let w be m(-9). Suppose 3*g - 14 = -w. Suppose 4*d = -3*y + 8, y - 2 = -4*d + 3*d. What is the least common multiple of d and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-17)*f**(-19)*f)\/((f**(8\/11)*f)\/f*f**(1\/4)))**(-13) assuming f is positive.\nAnswer: f**(559\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 6*f + 4. Let m be p(6). Let k(b) = b**3 - 5*b**2 - 5*b - 13. Let t be k(6). What are the prime factors of (-7)\/t + m + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81138, 84770, 88402?\nAnswer: 92034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*((p**0\/p)\/p)\/p)**(-2\/19))**(-1\/3))**23 assuming p is positive.\nAnswer: p**(-92\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 13*r + 12. Let l be o(-12). Let i be 1 - (l - -3 - 5). Solve -2*w - 2*m + 3 = m, 2*w - i*m - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/35 and -47\/25915.\nAnswer: 181405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, r: 5}. Give prob of sequence rdd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4393195019?\nAnswer: 167, 251, 311, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/270 - -1\/10. Let y = 35\/108 - n. What is the nearest to 1\/3 in y, 0.4, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - (sqrt(11)*1)**2) + (sqrt(704) + 5)**2.\nAnswer: 81*sqrt(11) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijt when three letters picked without replacement from tjwtthtit.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b - 34 = -18*u, 0 = -b - 5*u + 7*u - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -35*c - 1626. What is the remainder when 30 is divided by v(-47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.091 + -0.091. Let q = 94.3 + -92. Let u = 2.4 - q. Which is the nearest to u? (a) 0.3 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(450) + sqrt(450) + 2*sqrt(288))\/(sqrt(27)\/(-4*sqrt(3)*-3)))**2 + -4.\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-18)*w**(-4\/11) assuming w is positive.\nAnswer: w**(-191\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89\/6 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469334639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-162)\/189)\/(2 - (-25290)\/(-12642)). Solve 6*k = -b + 1842 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 96 = 33*l. Suppose 5*m = -l*b + 561 + 2754, -3*m - 2*b = -1989. Is 48 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {h: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49845454 + -2242441138\/45. Let u = q + -13430. What is the common denominator of -65\/4 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 201*q**2 + 13467*q + 300763.\nAnswer: (q + 67)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-169)\/4. Suppose 3*n = -w + 25, w - 40 = -5*n - w. Find the common denominator of 9\/22 and ((-166)\/i)\/(n\/15).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/(-104)*(-2)\/(-45)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -3*v. What is the third derivative of 7*x**2 + x**2 - 6*x**5 - v*x**5 wrt x?\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 5 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 11*q + 5. Let z be a(8). Let l(g) = g**2 + 2*g - 5. Let y be l(-7). Let v = y + z. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12880573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-48 + 34)) + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6*n - 3*d + 1318, -5337 = -4*n + d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:32 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3196.36 - 3197. Which is the closest to x? (a) -0.1 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-51))\/((-4)\/(-6)). Let f be m + (10 - 2) - 4. Factor 2*v - v + f*v**2 + 8*v - v.\nAnswer: 2*v*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 62\/3 of a day?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 14 = -s, 3*k + 1 = -5*s - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -223201?\nAnswer: 223202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 7\/5, -8\/35?\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**2*r))\/r)\/r*r*r**(-2)\/r*(r\/(r\/r**0))**42)\/((r**(-1))**(-7\/2))**(1\/20) assuming r is positive.\nAnswer: r**(-127\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20823 and -37\/2727813?\nAnswer: 2727813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021234853 rounded to 6 decimal places?\nAnswer: -0.002123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/226 and 5 - ((-30459)\/(-4620) + 1*1\/4)?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:55 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + 5 - (4*sqrt(108) + -1))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*-6*(sqrt(104) + (sqrt(104) - sqrt(104)*1)))\/((sqrt(288) + -1*sqrt(288)*6 - sqrt(288)) + 3*sqrt(288)*2 + sqrt(288)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 8:43 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -609066.2208 to the nearest ten.\nAnswer: -609070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 11*k = 15. Suppose q - 7 - k = 0. Calculate the smallest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680180543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npunuef. What is prob of picking 1 n, 1 f, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.667 rounded to the nearest integer?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0*c**2 + 0 + 3*c - 1\/6*c**3. Let r(w) = 3*w + 3*w - 2*w + w. Give r(g(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2714816um in nanometers?\nAnswer: 271.4816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9930776*d**3 - 98*d**2 - 1691*d.\nAnswer: -59584656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.63923 to 2 decimal places.\nAnswer: 23.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5857 - 382834663*y**2 + 2*y**3 + 382834663*y**2 to l + g*y**2 + q*y + s*y**3 and give l.\nAnswer: -5857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -43. Let v = -84599.6 - -84600. What is the closest to -1 in v, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1442 = -f, -f - 1 = 1. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*w**3 + 235*w - 2 - 235*w + 3 + 68*w**3.\nAnswer: -12*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 10.2, -0.1, -0.5, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 2 (c) -16\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-44)\/(-176)*(-8)\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Suppose x*b = n + 4*b - 27, -4*n = -b - 123. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*s + 11*s to j*s + d and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(1 - 1 + 6*j) + 4 + 11*j - 4)*(-2 + 3 + 1)*(3*j - 3*j + 2*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbsqbsqqbbbbbbqssqsq. Give prob of sequence qb.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/4, 8, 2\/17, -7, -18?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47882536 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3320 and -73\/1660.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20838707 is divided by 486.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5262, -6796, -9354, -12936?\nAnswer: -17542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 1. Let g(u) be the first derivative of 7*u**2\/2 - 5*u - 1. Let m(b) = -g(b) + 5*y(b). Let c(a) = -a**2 - 7*a - 3. Let w be c(-6). Calculate m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355254 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2.5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n + 88. Calculate f(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3410, 3707, 4004, 4301, 4598?\nAnswer: 4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -53. Let a(t) = t**3 + 10*t**2 + 6*t - 24. What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 1. Let o be a(1). Suppose 5*k + 2 = o*k. Let q(p) = p**2 + 4*p + 3. Let g be q(-2). Is k <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btw when three letters picked without replacement from tjbjw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4126 + 4126.009355. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2208, -2199, -2188, -2175?\n\"Answer: f**2 + 6*f - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53130 and 160678?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*(-16)\/(-72)*-2*20\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 7*i + 9. Let x be a(-5). Suppose 4*v - 4 = 4. Calculate the remainder when v is divided by x\/(-4) - 21\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 15.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -86 - -0.395549\nAnswer: -85.604451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12401 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 9*o**3 + 6*o**3 - 254*o**3 + 10*o**3 + 231*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**3 - 3*r**2\/2 - 3*r - 97. Let o(l) = -6*l**2 - 4*l - 4. Determine 4*f(w) - 3*o(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -48*m**2 - 250*m + 244. Calculate g(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 5*u + 2. Determine k(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 12*x**2 - 30*x + 16. Let h be q(10). Let c be (-518)\/h - (2 - (-22)\/(-12)). Solve -z = -c*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6385.39 to the nearest 10.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/15 - 5*j**4\/8 + 13*j**3\/6 - 20*j. Let n(p) be the second derivative of g(p). Differentiate n(r) with respect to r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 15*b**2 - 3*b - 26. Suppose -21*f + 39*f = -198. List the prime factors of c(f).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2. Let d be w(0). Suppose 5*a = g + 17, g + a = -d + 7. Let o be (g - (-15)\/(-6))*-10. Let z(t) = t**3 + 4*t**2 - 7*t - 3. What is z(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 + 22*j)*(-5 + 0 + 4).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 divided by 1?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 + 9*u + 5. Let w be p(-3). Let o(v) = -v**2 + 5*v + 3. Let a be o(5). Solve -2*i = -w*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012292527 rounded to 6 decimal places?\nAnswer: 0.012293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*4\/6. Let c(k) = 2*k - 2. Suppose 10 = -4*f + 50. Suppose 5*a - f = 3*g, -a + 6 = 2*a + 5*g. Let p(m) = -m**2 - m + 1. Give a*p(t) + w*c(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 0 - (-70 - -71)) + (0 - 5 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**3 - h**2 - 2. Let k(i) = 41*i**3 + 2*i**2 - i + 4. Let o(c) = 2*k(c) + 5*s(c). Is 14 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 2, e: 9, q: 3}. What is prob of picking 1 n and 2 q?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 16*z + 23*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*g + 754, -a - 2*g - 2*g = -146. Suppose 5*q - 6*k = -k + a, 4*k + 16 = 0. Let h = 39 - q. Calculate the highest common factor of h and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138846*c - 124467*c + 263314*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3609.465 - 3604. Round c to one decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 24*g**2 + 17*g + 4. Let n be f(12). Suppose -24*v - n = -26*v. Which is greater: v or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.628 - 23.64. Let k = n - 5. Let f = -0.012029 - k. What is f rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**6\/10 - 189*r**5\/20 + 61*r**4\/4 + 63*r**3\/2 - 93*r**2 + 1450*r. Determine l, given that k(l) = 0.\nAnswer: -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -44 - 19 - ((10 - 1) + 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 1. Let a(u) = -4*u - 5. Suppose -2*q - 1139 = q + 4*l, -5*q = 4*l + 1885. Let x = 370 + q. Determine x*a(b) + 15*r(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + -1 + -1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7185196 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -24. Suppose -i = -6*t + 34. Solve -2*p - t = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 + (60\/10 - -121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 27 = -2*q, 5*a - 2*a - 2*q = 17. Solve 0 - a = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1619 + -1619. Sort 0.0517, d, 2 in decreasing order.\nAnswer: 2, 0.0517, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 128 + 20*i**2 - 75 - 31 - 8*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 12 = -2*n, -3*f = 2*n - 16. Suppose -m = -4*u + 4, 0*u - 2*u = 4*m - f. Solve -3*k - 1 - 2 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/2 + 7*w**2 - 2*w. Let q be r(14). Suppose -u = -3*u + q. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 1 = -23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b. Let i(o) be the third derivative of o**5\/15 - o**4\/24 + o**3\/3 + 7*o**2. What is the smallest common multiple of i(1) and t(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 - 8*h - 6. Let m be c(-7). Let f = 5 - m. What is the least common multiple of f and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392686 divided by -141.\nAnswer: -392686\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-3 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3361 - 1 = 11*i + 3*i. Let k be (-1)\/1 - (-59 + -2). Calculate the highest common divisor of k and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:04 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l**4 + 41007*l**3 - 616506*l**2 + 50328*l + 65664 = 0. What is l?\nAnswer: -2\/7, 3\/8, 16, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*h + 80331 + 158414 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esyeyysewswewsww. Give prob of sequence ywss.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011001111 - -110011110?\nAnswer: 10000001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1386)\/(-105)*15\/(-63)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -b - 0*b + 42, 104 = 4*b - 4*u. Calculate the remainder when 129 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmww. Give prob of picking 3 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26535 (base 9) in base 15?\nAnswer: 54a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:27 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/99740890 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -35 + (8 - 14) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*1*-1*20*34\/(-680)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2185293?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -12. Let z = 14 + g. Let o(j) = j + 3*j - z*j. Let l(t) = -3*t**2. Determine o(l(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-45))\/(8\/(-10))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/9, 395, 1 in ascending order.\nAnswer: -1, 2\/9, 1, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8*g**(-1\/4) assuming g is positive.\nAnswer: g**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 37, -8, -1 in increasing order.\nAnswer: -8, -1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -363774934 and -363774933 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11232320322 (base 4) in base 13?\nAnswer: -408024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31316 - 31316 + 21*g**5 + (2*g**4 - 2*g**4 + 7*g**4)*(-5*g - 1 + 1).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*l**2 - 610 - 4*l**3 + 361 + 15*l**2 + 250 in the form f*l + j*l**3 + y*l**2 + o and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzccccccczcccccc. Give prob of picking 2 z and 2 c.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 137*t + 37*t.\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 2c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13792 greater than -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -46. Let l be ((28\/(-12))\/h)\/(-1). What is the closest to l in 2\/15, -5, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/6 - 2*v**2 - v. Let u be p(6). Let l be (0 + 1\/u)\/3. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-78))\/(-7)*6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:52 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*b*w + 12*a**2*b + 3*a**2*w**2 + 3*a*b*w + 4*b - 2*w**2 wrt a?\nAnswer: -2*b*w + 24*b + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b\/b**(-2\/11)))\/b)\/b)*(b*b\/(b**6*b))\/b*(b**1)**(-33\/7))**(-7\/10) assuming b is positive.\nAnswer: b**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**4\/24 + m**3 + 4*m**2. Let r be u(5). What is the derivative of -t + 0 + 5 - r + 4*t wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u**2)*(-u + 2*u - 3*u)*(-u - 3 + 3)*(-5*u + 6*u - 6*u).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -337935*v - 518488?\nAnswer: -337935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -h - 16. Suppose 38 = -5*l + 4*p, -l - 13 = -0*l + p. Calculate the remainder when 13 is divided by (5\/h)\/((-5)\/l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7514050 to the power of 1\/2, to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/5 + 2*o**4 - 33*o**3\/5 + 44*o**2\/5 - 4*o = 0 for o.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 9*i**2 - 22*i + 58. Let h be a(7). Suppose 558 = h*u + 4*z, 7*z + 567 = 2*u + 2*z. List the prime factors of u.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 919336392.\nAnswer: -919336391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (35 + 27 + -73)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -18*u + 60. Suppose 3*w = 4*w - z - 35, -u = -3*z. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65328?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46172 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = -2*p, -2*p + 2*k + 12 - 40 = 0. Let h be 3\/p - 172\/(-10). Suppose -h = -4*m + 31. Solve 4*w + 10 = 3*f - 6, 3*w + m = 4*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**3 + 35*x**2 + 2*x - 589 wrt x.\nAnswer: 6*x**2 + 70*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b - 3*b**3 + b**3 - 349 + 348. List the prime factors of p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430654518 a multiple of 5465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 2. Suppose 3*h + 3*h - 7*h = 0. Let n be f(h). Solve 5*q - n*t + 4*t = 5, -5*t = 4*q + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869631 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479763 = -2956*b + 5574*b + 4591*b + 11178 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 6 = 5*q - d, -5*q + 3 = -d. Which is smaller: 1\/212 or q?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**3\/6 - r**2\/2 - 10*r. Let w be p(3). Let j = w + -2. Solve -5*t - 3*u = -16, -6*t + t + u + 28 = j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145 and 5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p*z**3 + 3*p*z**2 + 67*p*z - 421194*p + 2*z**4 + 3470552*z**3 wrt z?\nAnswer: 24*p + 48*z + 20823312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (-4 + 1246\/105 - 1). What is the smallest value in -0.4, 4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/((z**0*z)\/z)*z)\/z)*z*z)\/((z*(z*(z*z**(2\/5))\/z*z)\/z*z)\/z))\/(z**(-1)\/z)**(-35) assuming z is positive.\nAnswer: z**(-357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 18*g**2 - 31*g - 15. What is r(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 715326*z**2 + 2*z - 767293 with respect to z.\nAnswer: 1430652*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - h - 11 = -t, -4*h = -t + 9. Let x(s) = 6*s**3 + 2*s - 6. Let b(u) = 7*u**3 + 3*u - 7. What is t*x(k) - 4*b(k)?\nAnswer: 2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186663 divided by -43.\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -5b7?\nAnswer: -5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 12*w**2 - w - 8. Calculate the remainder when 12 is divided by f(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5362 + 5335 - 19*l**2 - 10697.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 56681 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((4 - 10) + (-2 - -3) - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -5*s**4\/4 - 11*s**3\/3 - 7*s**2\/2 + 7*s - 1104. Let i(a) = 3*a**3 + 6*a**2 + 4*a - 4. Calculate -7*i(c) - 4*y(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.35728 - -0.06028. Let b = p + -0.103. Let u = 11.97 + b. What is u rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286\/88 + 0 + (-3)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161189, -322768, -484347?\nAnswer: -645926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9))**47 assuming u is positive.\nAnswer: u**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q + 812. Let g be h(17). Calculate the greatest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgmppwmmpmp. What is prob of sequence mgmw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**8\/392 - 8*m**7\/735 + m**6\/70 - m**4\/84 - 17*m**2. Factor z(j).\nAnswer: 2*j*(j - 1)**3*(3*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 18*c + 3*y + 96300, -2*y - 32093 = -c. What are the prime factors of c?\nAnswer: 97, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/25)\/((-3)\/(-180)). Let v(n) = -n**3 - 7*n**2 - 4*n - 3. Let b be v(-3). Let c = b + u. Calculate the lowest common multiple of c and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21184238.\nAnswer: 2, 2179, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633*w = 623*w - 2390. Suppose -3*t = 4*y + 936, 17*t - 18*t = -3*y - 715. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -2.04. Let k = -0.34 + -0.06. What is the biggest value in q, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + -1.95. Let w = 1917\/10 - 192. What is the smallest value in w, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29018 - 28925) + -19 + 0.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/9724 and -79\/7072.\nAnswer: 77792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 + 30*v**2 + 483*v\/8 + 121\/4.\nAnswer: -(v - 242)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 9*v - 14. Let r be u(-10). Let c = r + 11. What is the remainder when 25 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-450)*((-2)\/8 + 1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*y + 1 - 27*y - 20*y + 14*y.\nAnswer: 49*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13758848 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 6. Let p be (1*2)\/(20\/30). Let x(y) = y + 2. Let r(i) = p*k(i) + 8*x(i). What is the first derivative of r(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 2*l - 2*s, -s + 12 = 5*l. What is the third derivative of 15*m**3 + 2*m**2 - 7*m**l - 2*m**2 + 7*m**2 wrt m?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1116188, 2232377, 3348566, 4464755, 5580944?\n\"Answer: 1116189*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.079 + 0.079. Which is the fourth smallest value? (a) 0.1 (b) 5 (c) 1\/4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*n - 4, -6 = 2*y - 2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90624\/13 - -6972. What is the third biggest value in -2, b, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3 = -6*o + 5*o, -5*o - 3*a = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5245, -5243, -5239, -5233, -5225, -5215, -5203?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ad + 1?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 8932 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147518929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let a(o) = -6*o - 1. Determine -a(k) + y(k).\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 84029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4602\/(-128856))\/(1\/1148).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169758889185 - -4?\nAnswer: -169758889181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/36 + w**5\/120 - w**4\/24 + 39*w**3\/2 - 122*w**2 - w. Let a(f) be the first derivative of t(f). Determine a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*j**2 - 123*j**2 + 313*j**2.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*h - 5 - 4, 0 = 3*c - 5*h - 7. Let n = 0 - -0.1. What is the closest to n in 1, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/11 + 33250*c**2\/11 - 138211936*c\/11 + 138178688\/11 = 0 for c.\nAnswer: 1, 8312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m - 7. Let y(x) = 40*x + 28. Let n(s) = 9*u(s) + 2*y(s). What is n(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -51. Let z = -17080 + 17104. What is the remainder when b is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3593 - -5255. What are the prime factors of q?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -326*u + 13711. Determine z(41).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 - 4605*y\/4 - 219249\/2.\nAnswer: -3*(y + 102)*(y + 1433)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 5) to base 10.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/20 - i**4\/8 + 2*i**2. Does 10 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 4. Suppose -f = o*f - 9. Let l = 22 - f. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 269 - 82. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let n(m) = -901*m**2. Let g(c) = -70728*c**2. Let v(t) = 5*g(t) - 392*n(t). What is i(v(a))?\nAnswer: -448*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*(-30)\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/20*51\/(-850)*(-10)\/6\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxaarrrrah. What is prob of sequence hrx?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -68. Let w(x) be the second derivative of 0*x**2 + 0*x**3 + 1\/21*x**7 - 1\/5*x**6 - 1\/6*x**4 + 3\/10*x**f + 0 - x. Factor w(a).\nAnswer: 2*a**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -3 - -2)*(-1 - 0). Suppose 3*w - v*w - 3*q = 9, 0 = w - 2*q - 7. Factor 0 + 2\/5*f**2 - 2\/5*f**w + 4\/5*f.\nAnswer: -2*f*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -687 or -688?\nAnswer: -687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1464 and 3288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Let j = 22 + -15. Let g(t) = -1 + j*t - 1 - 3*t - 7*t. Determine g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784750.\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447*459.8.\nAnswer: 205530.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513807 and 1806?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2087688*p**3 + 6892204*p wrt p?\nAnswer: 12526128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303693973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/22*(-2)\/2. Let u = 20\/33 + o. Let d(x) = x**3 - 2*x**2 - 6*x + 22. Let l be d(-3). Which is the nearest to 1\/5? (a) u (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34695 and 5?\nAnswer: 34695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466*m**3 - 2377418*m + 1462*m**3 + 2377418*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*6\/(-12)*108. Let m be (n\/(-12))\/(11\/(-44)). Let w(f) = -f**3 - 7*f**2 - 8*f + 3. Let z be w(-6). Do z and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1032*w**3 - 256 wrt w?\nAnswer: -3096*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4017 and 60?\nAnswer: 80340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 1737, 2477, 3069, 3465, 3617?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by -2 + (2 - 0) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -1 - 1. Let j be ((-21)\/(-49))\/(i\/((-14)\/(-4))). Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290535 divided by 15\nAnswer: 19369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -40. Let i = o + -26. Let z(k) = 2*k**2 - 2*k - 1. What is z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3503259369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7622.09 - 7622. What is the nearest to m in 4, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13580*b + 54324. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 y, and 1 q when four letters picked without replacement from jqdyddiddiiydjyj?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdcccnn. Give prob of picking 1 c and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 368991092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 498423182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 4*f**2. Let b(n) = 24*n**3 + 21*n**2. Let a be (-11)\/((-693)\/(-14)) - (-152)\/36. What is a*b(g) + 21*r(g)?\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1)\/(-8)*(-32)\/(-36). What is the closest to 30 in 0, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 33. Let o be n(7). Let v be -4*7\/7*(-9 - 0). What is the greatest common factor of o and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.25 - 0.25. What is the closest to -1\/3 in -0.1, t, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1079, -1073, -1057, -1025, -971?\n\"Answer: i**3 - i**2 + 2*i - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 172 + 89 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14*-218\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161823 is divided by 8990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*p - 47. Let n = 0.9 - 0.6. What is the biggest value in p, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrrw when four letters picked without replacement from drccccddcrnwc.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 - (-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -51*o - 13400. Let g(l) = 32*l + 8934. Calculate -8*g(y) - 5*p(y).\nAnswer: -y - 4472","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*j*z**2 - j*z + 555*z**2 - 2534764 wrt z.\nAnswer: -306*j + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from oowwwwvvvvvvvllvw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14790)\/(-68))\/(-29))\/((-1)\/(-2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + q - 0 - 3, 4*x = q - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2 - -3 - 3. Let n be 5 + (-7)\/((-7)\/a). What are the prime factors of 29\/2 - n\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 470 + 118 = -620*n. Let w(i) = -10*i + 4. What is w(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30298 + -14619. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -279, -31, 0, 2746.\nAnswer: -279, -31, -1, 0, 5, 2746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5005 (base 6) to base 5.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - d + 4. Suppose 2*c = -5*x - 3, -4*c - 14 = 2*x - 0*x. Let t be -1 + x*(-1)\/1. Let w be (4*12\/8)\/t. Calculate u(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 2. Let i be v(8). Let w = 13 + i. Suppose -25 = -4*f + 3*c, -7*c = 5*f - w*c - 8. Solve -q + 7 + f = 2*b, 0 = -3*b + 4*q - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141537 to four dps.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22989590509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*i + 5*q + 3 = 424*i - 842*i, -4*i + 2*q - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -38. What is the units digit of i\/(-8)*(-6)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 15*a**2 + 34*a + 85. Calculate m(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 26. Let d be (-177)\/(-6) - 5\/(-10). Let g = d + s. Solve -g*c + 15 = -5*r, 0 = -4*r - c - c - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -w - 3*w + 61 + 91, -13*w - 101 = 5*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 20*v**2 - 2*v - 3. Let p(z) = -2*z**3 - 22*z**2 - 3*z - 6. Let x(k) = 5*l(k) - 4*p(k). Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 278\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxxc. What is prob of picking 3 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -20, 0*k - 17 = -k + 3*c. Let l = 2 + -2. Solve -k*q - 13 + 3 = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193 and 0.1636?\nAnswer: 31.5748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3522 - -3517. What is the fifth smallest value in -7, -2.4, -3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4394 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l + 55. Let o be u(14). Let j = -65 - o. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 + -5876?\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y - 9. Let v be j(6). Let m = -3 + 5. Suppose w = -m*w + v. What is the remainder when 29 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109755028*h**4 - 11401445*h**2 wrt h.\nAnswer: -2634120672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 42, 55, 70?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Which is the biggest value? (a) -2 (b) 7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 1. Let j be p(2). Suppose b + 2*b = j. Suppose 2*g - g = -b. Sort g, 3, 0.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 - -173. What is the closest to 0.2 in 1, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*l - 108*l + 3204 = -53*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 18*b**2 - b - 1. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d)\/d*d**(1\/4)*d)**48*(d\/(d*d**4\/d*d)*d**(-7))**27 assuming d is positive.\nAnswer: d**(-237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -35. Is i greater than 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002326942074 to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 10. Let s = -118 + 106. What is w(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/(-2) + 2 + -1. Let k be 6\/(-3) - u\/((-4)\/10). Suppose 3*v = -v + n + 141, 0 = -k*v + 5*n + 127. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -24, -33?\n\"Answer: -9*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29388731 and 3451.\nAnswer: -29385280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {w: 3, x: 2, u: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 6*k + 2. Let g(c) = 29354685*c**2 - 48520*c. Let a(l) = -g(l) - 10*n(l). Factor a(x).\nAnswer: -5*(2423*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 16)*(7*s**2 - 2*s**2 + 0*s**2)*(s**2 - 4*s**2 + 5*s**2).\nAnswer: -140*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5516*o**3*x + 5*o**3 - 2*o**2*x**2 + 2*o**2 - 17 wrt x.\nAnswer: -5516*o**3 - 4*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:27 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - z - z - 12 = z, 12*z = -47*n + 15*z - 187 - 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2 + 3*w**2 + 4*w - w**2 - w**3 + 0*w**2. Let q be (3 - (2 + 1))*4\/(-8). Let c be q\/(-3) - (-2 - 0 - -4). What is t(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038708757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/(a\/a**(-2)))\/a)))**(-38)\/(a**13*a**2\/a))**21 assuming a is positive.\nAnswer: a**2100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 542.3 and -25.9.\nAnswer: -14045.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 18*i**2 + 9*i + 20. Let h be g(8). Suppose 42*l - h = -12*l. Put -3, 1, l, 2 in increasing order.\nAnswer: -3, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 236\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -480, -446, -414, -384, -356, -330, -306?\n\"Answer: -y**2 + 37*y - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -16*i - 92, 588*u - 593*u + 5*i + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w)\/(w\/w**2)*w\/(w*w*w*w**(3\/11))*w**(2\/19) assuming w is positive.\nAnswer: w**(-1289\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*h + 141272, -38*m + 5*h + 235445 = -33*m. List the prime factors of m.\nAnswer: 2, 3, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + -3 + sqrt(1100))*-6 + 5*((-2*sqrt(1100) + sqrt(1100) - sqrt(1100)) + 3) + -5)**2.\nAnswer: 640*sqrt(11) + 281608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2142\/459*9\/(-20))\/((-3)\/(-2)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -16. Let g = b + -15.9917. Round g to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5766 (base 8) to base 16.\nAnswer: bf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l. Let a(h) be the first derivative of 65 + 0*h**2 + 0*h + 8\/3*h**3. Determine a(q(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*w - 5*w + 244. Let a(y) = y - 33. Calculate a(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)\/(1 - 3). Suppose 0 = -4*c + 3*z + p + 18, 4*z + 4 = 0. Suppose u + 3*u = 2*j + 158, -2*u - c*j = -54. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*p + 0*p + 3 = 0, -4*p - 10 = 2*w. Suppose 3*a = 5*o + 37, -w*o + 5*o + 22 = 3*a. Suppose -5*r + 635 = -a*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86369100 divided by 9287?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, y: 2}. What is prob of picking 4 j?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:39 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1454\/13*-79663 - (-690)\/4485. Round x to the nearest one hundred thousand.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-27 - -12 - -48) + -10.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 + -4?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r**2 - 32*r**2 - 454*r**2 - 288*r**2.\nAnswer: -874*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -45 - 4. Let x be (-2)\/7 + (-37)\/g. Let s(m) = -m**3 + 5*m**2 + 7*m - 1. Let j be s(6). Solve x = -7*l + 2*l - j*h, 0 = l - 4*h - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, 0 = -2*m - 3*l - l + 24. Suppose -z + 383 = 4*k, 4*k = -k + 4*z + 484. Calculate the highest common factor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73117044 and 270270.\nAnswer: 1096755660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14872 is divided by 14861.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391906156 to the power of 1\/2, to the nearest integer?\nAnswer: 19797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -14.5. Let d = j + -51.3. What is the second smallest value in -147, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477859065 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-3)\/2 - 1). Let i be 2 + (20\/(-5) - (0 + 0)) + 6. Solve 3*j + c = -i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -174 - -99 - (0 + 11 - (31 - 22)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 12*n**2 + 17*n - 10. Calculate s(7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1090522*j**6 + 2*j**5 - 4975504*j**2 wrt j?\nAnswer: -130862640*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**5\/15 - 5*h**4\/24 - h**3\/6 + h**2\/12 + h\/6 + 27. Solve m(r) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -845 - -801. Is 36 a factor of 15510\/r*(-24)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71677 by -2.\nAnswer: -71677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 2*o**2 - 3*o**2)*(-20 + 14 + 23).\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y + 28. Let h(m) = 164*m**2 - 473*m**2 + 162*m**2 + 140*m**2. Determine d(h(b)).\nAnswer: -91*b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 7*p**2 - 5*p - 14. Is y(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083301224 rounded to four decimal places?\nAnswer: 0.0833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*i + 2 - 4166*i - 188*i.\nAnswer: -3829*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 2724 + 909 = 0. Let t = 145 - d. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2246 - -0.0754. What is the nearest to -0.05 in r, -1.2, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c - 67. Let z be q(-4). Suppose -z = 25*w - 20*w. Suppose 0 = 5*g + 2*j + 13 - 0, 3*g - 9 = 3*j. Is g at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2066 + 2168.1. Let d = -231343040974.899999433 + 231343041077. Let l = d - k. What is l rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92092266 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -10.9003.\nAnswer: -15.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 4*w**2 + w**2 + (-w - 4 + 4)*(4*w + 2*w - 4*w) + (20*w - 3*w + 2 + 2*w)*(-2*w - 2*w + 6*w).\nAnswer: 33*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4318*a**3*c**3 + 148*a**2*c**3 - 3*a**2*c + a**2 wrt a?\nAnswer: 25908*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10854281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 418*m - 4857. Calculate u(10).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-16*(-7)\/224)\/(-3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + 1. Suppose -7 - 7 = -4*p + 2*d, 14 = -p - 3*d. Let j be ((-15)\/12 + p)*-4. Is j > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 56*m - 3420 = 0. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -86 - 39. Calculate the remainder when 147 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -2*c**7\/21 + c**4\/8 - 2*c**3\/3 - 24*c**2 - 1. Find the second derivative of m(x) wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 88 = -96. Put 3, -1, i in increasing order.\nAnswer: -1, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*o + 62*o + 1224. Let d = o + 213. Let x(s) = s + 10. Calculate the lowest common multiple of d and x(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 greater than 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/515050 and -101\/4120400.\nAnswer: 4120400","meta":{"dup_signals":{},"source":"numbers__lcm_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: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 60 + 60)*(r**3 + 3*r - 3*r) as a*r**2 + f*r**4 + t*r + q + z*r**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/30 - 134\/(-60) and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*13\/(-65)*3\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/10618469 and -143\/6.\nAnswer: 63710814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (0 - -2) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -403327718 + -3?\nAnswer: -403327721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*n**5 + 34824*n**4 + 32*n**2 + 20946 wrt n.\nAnswer: 840*n**2 + 835776*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -20. Solve -x*p - 3 + 11 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479070 is divided by 607?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1*(-7 + 2). Suppose -2*r + 4*o + 138 = h, 2*r + 3*o = 116 + 43. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 2996?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-79)\/15 - -1) + 95\/(8550\/(-36)). Which is the nearest to -0.1? (a) 5 (b) -20\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**3 - r**2 - 5*r + 5. Suppose 5*q = -2*v + 21, -v + 4*q = 3*v. Is d(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*g - 16 = 575*g. Let j(k) = 4*k. Let u be j(1). Solve -g*c = 2*w, -4*w + 8 = -u*c - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.3, -1, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -197.\nAnswer: 87\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-185))\/(-4))\/((-18396)\/(-4380))?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1832 + 11*u**2 + 1368 + 464.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/11)*v*v**(-3\/14)*v**(1\/25)\/(v*v*v**(-8\/3)\/v) assuming v is positive.\nAnswer: v**(30887\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41795, 41783, 41755, 41705, 41627, 41515, 41363?\n\"Answer: -g**3 - 2*g**2 + g + 41797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**3 - y. Let q = 10 + -4. Suppose 2*h + 0 - q = 0. Let t be h\/9 - 6\/(-9). Give k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3812467 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*i. Let s(r) = -22*r - 2. Let j be s(i). Solve 4*b = 4*o - j, -o + 3*o - 10 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -295b07 (base 12) to base 11.\nAnswer: -434891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8847, -8824, -8793, -8760, -8731, -8712, -8709, -8728?\n\"Answer: -b**3 + 10*b**2 - 8856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 157 = -2*t - 61*o, 4*t - 102 = -2*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 962, 968, 974, 980, 986?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3344842666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -79, -73, -65, -55, -43, -29?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 39*z - 1. Determine j(19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -1)\/(2 + -4). Suppose -3*w + 41 = v*u - 55, -w = -5*u + 136. Let d = u + 14. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0184, -1\/457 in descending order.\nAnswer: 0, -1\/457, -0.0184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229459 or 230234?\nAnswer: 229459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*z**2 + 5*z + 104266 - 52120 - 52133 to w*z**2 + x*z + l and give w.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34995 divided by -2?\nAnswer: 34995\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3832152 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2 + 0 - (0 + sqrt(147) + -3))**2.\nAnswer: -126*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7497185, -14994344, -22491503, -29988662, -37485821, -44982980?\nAnswer: -52480139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*l*m*n - 3194*l*n + 3972*m*n - 551*n wrt l.\nAnswer: 50*m*n - 3194*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98\/271, -4, 123, 12?\nAnswer: -98\/271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 38 = -5*m, -206*c + 202*c = 2*m + 42 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {o: 3, x: 1, b: 1, q: 6, i: 1, r: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676465504.\nAnswer: 2, 7, 691, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(223\/(-8920))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0 + (-1 - 0)). Solve -k*l + 20 = 4*z, -8 = -4*l + 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 230\/(-46) - ((0 - 1) + -4). Solve 4*s + w + 5 + 5 = r, 2*w = 3*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -223, -868, -1931, -3406, -5287, -7568, -10243, -13306?\n\"Answer: i**3 - 215*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 + -129. What is the fourth biggest value in 11, -1\/2, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8035, 1751, -4533, -10817, -17101?\nAnswer: -23385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.47 + 0.47. Let f = -20.1 - z. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21*112\/(-128)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.072, -1, -1\/2, -214, -1\/4?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46856, -46821, -46788, -46757?\n\"Answer: -m**2 + 38*m - 46893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 - 721 - 42*l**2 + 10*l**2.\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**2\/2 - 8*f - 4. Let i be k(-10). What is the derivative of -3*j**i + 3*j**2 + 4*j**2 + 3 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 57*g - 78. Determine v(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q**2 - 2*q**3 + 3*q**3 + 8*q - 7*q**2 + 10. What is a(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1737 + -1202. What are the prime factors of x?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 713480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177 * -107562.\nAnswer: 19038474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -28*m**2 + 220*m + 13. Give g(4).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217942731037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 350 = 506. Solve -p*m = -112*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11705\/179 + 8\/895. Let y = k - 241\/4. Find the common denominator of y and 97\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(16)\/sqrt(4)))\/sqrt(800).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z + 2. Let c be g(4). Let q be (c\/(-8))\/((-1)\/4). Let x = q - -9\/2. What is the biggest value in -5, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/79, 539343, 1\/4 in descending order.\nAnswer: 539343, 1\/4, -2\/79, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v + 16. Let j be m(9). Let w be (21\/j)\/(5 + (-92)\/16). Calculate the highest common divisor of w and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (12 - (-63 + 110)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2297, 2007, 1717, 1427, 1137?\n\"Answer: -290*w + 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**4 + 30*y**3 + 42*y**2 + 21*y - 9. Let i(n) = n**3 + n**2 - 1. Suppose -5*v = -0*v + 5. Let a(g) = v*f(g) + 15*i(g). Factor a(s).\nAnswer: -3*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-1 - (36 - 25))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153\/130 - -14\/13. What is the closest to -1.1 in k, 0.5, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*v = -39, 8 = -5*i - 5*v - 22. Let g = 5 - i. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34833 (base 12) to base 16.\nAnswer: -112a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -38 - 2. Let l = 0 - k. Suppose -w = -l + 2. What is w rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3068 and 125855.\nAnswer: -386123140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-6 + 2)*25\/(-50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.41\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1 = 6*b - 48 - 4, -5*i + 3*b + 18 = 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(1*(sqrt(13) + sqrt(208) + 5 + -2) + 3)*-1 + -2)**2.\nAnswer: 200*sqrt(13) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10074, -10089, -10104?\n\"Answer: -15*z - 10059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0546 + -50.3454. Let f = 51 + w. Which is the second smallest value? (a) f (b) 2\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:34 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7365091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6491 or -6489?\nAnswer: -6489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 7*a**2 - a - 4. Let o be l(-5). Let f = -14 - o. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, -200, -815, -2040, -4079, -7136?\n\"Answer: -34*t**3 + t**2 + 26*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-7) - (-310032)\/(-294336) and 23\/20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (27 - 46) + 12 + -8 + 3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-170)\/25 - 2\/10. Let o = 4 + i. Let f be 0\/o*(0 - -1). Solve -7*g + 2*g - 2*y + 27 = 0, g + 5*y - 10 = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*r = 2150, -h = -r - 4 - 423. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -19. Let w = 15 + d. Suppose w = 5*g - 19 - 1. Solve 5 = -g*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*r**3*w*y - 3*r**3*w - 4*r**3*y + 3*r**3 + 2297*r**2*y - 229*w*y wrt w?\nAnswer: -3*r**3*y - 3*r**3 - 229*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 91. What is x(-48)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1*sqrt(252) + 1)**2 - (sqrt(252) + (sqrt(252) - (sqrt(252) + -4)*4 - sqrt(252)))**2)*1.\nAnswer: -2523 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 + 3)*(-1)\/(-2). Let o = k - 3. Suppose -o*z = 5*i - 40, -i - 2*z - 8 = 2*z. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 303102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 + 861 = -348*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most -948\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -807 at most as big as -807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 690233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 10*b + 17. Let y be k(8). What is the biggest value in -1, -2.7, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyjyejzzjj. Give prob of sequence ye.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48.7, 3, 5, -0.4 in descending order.\nAnswer: 5, 3, -0.4, -48.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23*o - 24 + 2*o**3 - 16*o - 3*o**3 + 6*o - 16*o**2. Let g be a(-17). Suppose 42*y - g*y + 50 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luqcbuqzbcbb. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 7}. What is prob of sequence vvv?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -1428 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -16. What is the common denominator of 96\/z + (-6)\/(-2) and 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-7 - 5*y + 7)*(0*y - 2*y + 3*y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483876385 divided by 5.\nAnswer: 96775277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 - 6*u**2 + 2*u**3 - 2 + 6*u**2 to the form m*u**3 + r*u**2 + j*u + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 14, 22, 28, 32?\n\"Answer: -j**2 + 13*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -31.8. Let k = i + -9. Let c = 0.1 - k. Is -2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/168207 and 95\/1816.\nAnswer: 1345656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -79, -312, -693, -1216, -1875, -2664, -3577, -4608?\n\"Answer: s**3 - 80*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/9)\/(4 + (-34)\/9). Let m = p + 7. Suppose -5*q - 4*y + y = -35, 0 = -5*q - m*y + 40. Solve 2*n - n + q*u = 12, -6 = n - 2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-4))\/((-4)\/8) - (-94 + -54). Calculate the greatest common divisor of h and 1056.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -59, -102, -157, -224, -303?\n\"Answer: -6*a**2 - 13*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207474 minus 50342459?\nAnswer: -48134985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1746*k - 3. Let p be m(4). Let u = p - 139539\/20. What is the common denominator of 151\/12 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 7 (c) 2\/11 (d) -0.1 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -5852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4985*m**2 + 21*m + 622?\nAnswer: -9970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54207011843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 31060428.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*u)*(-11*u - 29*u - 22*u + 13*u) to the form v*u + z*u**2 + s and give z.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 e when three letters picked without replacement from {b: 1, s: 1, a: 2, m: 10, e: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211*d - 723*d**3 + 380*d**3 + 371*d**3.\nAnswer: 28*d**3 - 1211*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -40, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476177 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, 3, -1\/5, 75?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 + 12*l**2 - 42*l**2 to the form n + d*l**2 + z*l and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3197 = 5*h + 3*f - 181, 4*h + f = -2417. Let j = h + 606. Which is smaller: j or 15\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 30.7. Let i = -44.22 - -45. Let x = d - i. What is x rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543320128 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let x(r) = 13*r**2 - 4*r. Calculate x(w(o)).\nAnswer: 52*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*g**3 - 4\/5 - 4\/5*g + 1\/5*g**2.\nAnswer: (g - 2)*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -74, -90, -92, -74, -30, 46, 160?\n\"Answer: g**3 - 2*g**2 - 25*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n**2 + 13*n + 52. Let z(k) = -3*k**2 + 3*k + 13. Let m(q) = 2*u(q) - 9*z(q). Calculate m(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(490))\/sqrt(10))\/((sqrt(56) + sqrt(224))\/sqrt(8)) - ((1 + sqrt(7))*4 + (sqrt(567) + -2*sqrt(567) - sqrt(567)))*6)**2.\nAnswer: -4064*sqrt(7) + 456796\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 greater than 6724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 + 49*c**3*k**3 + 15*c**3*k**2 + 368*c**2*k**3 - 2*c*k**3 + 6*c*k wrt c.\nAnswer: 120*c**2 + 294*k**3 + 90*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/7 + 89*k\/7 - 90\/7 = 0. What is k?\nAnswer: -90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1, 18, 0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-18\/11)*(i\/(i*i**2)*i)**(1\/26) assuming i is positive.\nAnswer: i**(-1013\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/4 - 555*d**2\/4 + 823*d\/2 + 1380 = 0.\nAnswer: -2, 5, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((699\/(-8155))\/((1\/1)\/7))\/((-3)\/(-405))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/190)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**5 + 0*a**4 + 0*a**4)*(-1 + 3 + 0) + 527*a**5 - 215*a**5 + 276*a**5.\nAnswer: 582*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1 - sqrt(102))*-1 + (sqrt(102) - 2*(sqrt(102) + sqrt(102)*2)))\/((sqrt(726) + sqrt(726)*2)*-6 - (sqrt(726) + sqrt(726)*1*6)).\nAnswer: 3*sqrt(17)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -987 from -1325853.\nAnswer: -1324866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 349*r + 6 - 6.\nAnswer: -r**3 - 349*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - u - 1. Give x(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1515*n**2 - 641*n. Let r(b) = 1516*b**2 - 635*b. Let l(s) = -2*q(s) + 3*r(s). What is the second derivative of l(f) wrt f?\nAnswer: 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y - 10. Suppose 3*w - y*t - 1 - 31 = 0, 4*w = 3*t + 50. Let o = -25 + 47. Calculate the lowest common multiple of w and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192) + -5)**2*-4.\nAnswer: -3172 + 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 27.2. Let j = k + 14.3. Which is the second biggest value? (a) j (b) -0.4 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618 by -13272.\nAnswer: -103\/2212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -6*(-2 + sqrt(180))).\nAnswer: -20 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b - 20. Let x(f) = -f + 9. Let k be x(9). Suppose 5*h + 3*y - 25 = k, -4*h + 20 = 3*y - 5*y. What is the units digit of d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (12\/(-5))\/((-27)\/(-30)). Which is the second smallest value? (a) 0 (b) 84 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 83. Let j(b) = 7*b. What is j(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257 - -245. Let c be (-122170)\/60 - 2\/o. What is c rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/((-117)\/(-30)))\/(-4))\/(19 + -18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucuyeecccuccccy. Give prob of sequence ue.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {u: 1, d: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15 = -3*r. Let p(n) = -2*n**2 + 41*n + 27. Let o be p(21). Suppose o = -r*y + 6*y. Solve y = 5*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-14.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**0*s*s*s))**(-25)\/(s*s*s**(-1\/3)*s*s**(-7)))\/((s\/(s*s*s*s*s**0*s*s))**6*s**(-2\/13)\/(s**4*s)) assuming s is positive.\nAnswer: s**(4465\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12752 + -12755. Put q, -1\/2, -78 in descending order.\nAnswer: -1\/2, q, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(272)*2*6*5)**2 - (4 + -2 + sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) - ((1 + sqrt(833))*4)**2) - sqrt(833))).\nAnswer: -231*sqrt(17) + 35237854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 291992?\nAnswer: 467187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/4)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -3*v + 5*d, 3*d = 0. Solve -4*r + 14 = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6436 divided by 6436.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -671)\/4 + 4. Let g be h\/50*1 - 4. Let s = -4\/25 - g. Which is the nearest to s? (a) -2 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*n**2 + 3*n**2 + 7*n**2 to the form m*n**2 + v*n + u and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091089983519 less than 23?\nAnswer: -1091089983496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 6. Suppose f = -2*f - 12. Let a = 5 + f. Let n = -4 - a. Determine g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4. Let a(t) = 1. Let b(w) = w**3 + 7*w**2 - w - 9. Let f be b(-7). Let p be (1\/f)\/(2\/4). Give p*o(g) + 4*a(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjbbwwbkbjbkjjjbkbj. What is prob of picking 1 w, 1 k, and 2 j?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 e when four letters picked without replacement from wwwweeeewwwwww.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16103777 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(2\/1). Let s(j) = 3*j**3 - 5*j**2 - 7*j + 11. Let l(o) = -2*o**3 + 3*o**2 + 4*o - 6. Let c(v) = 5*l(v) + 3*s(v). Give c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(1\/52)*s**(-19)*(s\/s**(-27))**(2\/133) assuming s is positive.\nAnswer: s**(-17387\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-47)\/(9\/((-378)\/(-15))))\/((-4)\/10) is divided by 157?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 - 40*u - 50. Give y(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -8 in decreasing order.\nAnswer: 13, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - ((-40)\/20 - 81).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -9 + 37. Suppose 8*f = b*f + 2. Solve d + n = f*n + 4, -4*n = -d + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Suppose -5*u + p = f, -5*f + 2*u + 12 = -20. Suppose -f = -0*o - 2*o. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668884.\nAnswer: 2, 167221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 298.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145831 and 766339.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*w - 371224 = 526904. What is the highest common factor of 294 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s. Suppose -q + 23 + 7 = s. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + t - 365, -2*c - 2*t = t - 146. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(2\/37)*b))\/(b**6\/b))\/(b**(-2)*b\/b**(3\/35)) assuming b is positive.\nAnswer: b**(-7729\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b - 121. Suppose 4*s - 30 = 2*s. Calculate the remainder when k(s) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3861*g - 1419*g - 2044*g to m + q*g and give q.\nAnswer: -7324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17359 rounded to the nearest 100?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1995 and 80.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 48 = -v. Let s = -14 - v. Solve f - s = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 16 - (-9 - -2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -25*f**3 + 25*f**2 - 6*f = 0.\nAnswer: 0, 2\/5, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 16*j**2 - 11*j - 22. Calculate r(15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 + p**4 + 2*p**4 + 0*p**4 - p**4 + 2*p**4 + (-3*p - p + 3*p)*(-p**3 - 2*p**3 + p**3) + 3*p**4 - 5*p**4 + 3*p**4.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25 (b) 4 (c) -0.0376\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + (5*2*sqrt(1250))**2 - 5*sqrt(450)\/(sqrt(18)\/sqrt(2)*-3)))*-6.\nAnswer: -750006 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -0*h - 3*h. Let o = 18 - h. Find the second derivative of x**o - 7*x + 3*x - x + x**5 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1406 = -31. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 2099\/1093 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + t - 17 = -2*t, -24 = -2*l - 4*t. Solve l*w = -5*z - 21, -w + 6 = 2*z + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*f = -3 + 13, 3*f = -u + 7. Suppose -x - 15 = -4*x + u*c, 0 = -5*x - 3*c - 4. Let l be 3*(1 + 16\/(-12)). Is x smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let w(v) = -5*v**2 + 4*v + 6. Let o(g) = -11*g**2 + 9*g + 16. Let j(p) = 4*o(p) - 9*w(p). What is k(j(n))?\nAnswer: 3*n**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13146?\nAnswer: 2, 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000111100110011000 (base 2) in base 11?\nAnswer: -1710959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -10984.\nAnswer: 10983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 9. Let x(q) = -96 - 103 - 102 + 398 - 98. Calculate -n(j) - 2*x(j).\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4623*x - x**2 - 3*x**2 - 41*x**3 + 1 + 42*x**3.\nAnswer: x**3 - 4*x**2 + 4623*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33143 - 10323?\nAnswer: -44021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2590 and 70.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-8))\/y*y\/y**(-6))**32\/(y*y**(-6)*y\/(y*y**(2\/7)*y*y)*y**0*y**(2\/3)) assuming y is positive.\nAnswer: y**(-533\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -47399 * -4\nAnswer: 189596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12272 or -568?\nAnswer: 12272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1137636 and 505616?\nAnswer: 4550544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 19600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 34*m + 212. Let y be g(-15). What is the common denominator of 43\/10 and (138\/6210)\/(4\/y)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 + 5. Let c(k) = -k**2 - 10*k - 12. Let q be c(-8). Let i be 8*2\/q*1. What is the second smallest value in 0.2, i, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 72, 2 in descending order.\nAnswer: 72, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 33. Let f(u) = u - 16. Let s(y) = -7*f(y) - 3*r(y). Let x = -231 + 242. What are the prime factors of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109438 is divided by 36447.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -51*w - 129. Let h be f(-5). Find the third derivative of -142*p**5 - 6*p + p**2 + 93*p**5 + 24*p - h*p**5 wrt p.\nAnswer: -10500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145640 - 73594. What are the prime factors of h?\nAnswer: 2, 13, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:38 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 4 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*x - 109 - 134 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 + 149. What is the third biggest value in r, 0.5, 74, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let k(t) = 78*t**2 - 15. Determine h(k(i)).\nAnswer: -78*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2559 + 4*m - 2559 + (-3 + 1 + 0)*(-2 + 2 + m))*(1 - 1 - 2*m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96089 divided by -4.\nAnswer: -96089\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 41.14756?\nAnswer: -4.114756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 3*g + 1. Let n = 1 + -7. Let m(b) = -4*b + 5*b + 4 + 0. Let u be m(n). Calculate f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 8.4?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s - 8*s - 1070*n + 1067*n - 42, 4*s - n + 3*n = 112 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p - 1\/24*p**4 + 0*p**3 - 1\/120*p**6 - 1 + p**2 + 1\/20*p**5. Let u(n) be the second derivative of y(n). What is u(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:58 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -201 + 182 - (4 - 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-6)\/(-8)))\/2. Let t = b + 3. Solve -3*f + t = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 v when four letters picked without replacement from vccvc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) -3 (b) 0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:49 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -27*g + 70*g + 26*g**4 - 10 - 401*g**3 + 7*g**5 - 16*g**2 + 351*g**3 = 0?\nAnswer: -5, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from urkpuup?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 121*i + 121. Let l be a(14). What is the closest to 5\/2 in l, 5, 1, 0.034?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d**2 + 5*d - 2 - d + d**2. Let u be c(-5). Suppose 4*n = 3*n - 1, u*g - 34 = 4*n. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b + 1710. Suppose -120 + b = 7*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnf when three letters picked without replacement from {n: 7, z: 8, d: 1, f: 4}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(31\/(-14) + 2). Let b = -7 - h. What is the remainder when 105\/126 - (-122)\/12 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {i: 4, u: 6, a: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3*s**3 - 253*p**3 + 7530*s**3 wrt p.\nAnswer: 15*p**2*s**3 - 759*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6388745 (base 11) to base 14\nAnswer: 16c8903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 36. Suppose -3*v = -5*m - 14, -22 = 3*v + 6*m - u*m. Let q = 37 + v. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x = -20*x - 55*x + 8484 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 12\/3 + 1. Suppose 4*n - 14 = 2*n. Suppose m = 3*x + 4, -5*m - 2*x = -3 - 0. Solve -y*b + n = m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*p = -30, -4 = j - 420*p + 416*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-24)\/9)\/((-1)\/3). Suppose 80*i**4 - 5*i**3 - 23*i**3 + 8*i - 16*i**3 - 64*i**v + 20*i**2 = 0. Calculate i.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 10*g + 51. Give w(-8).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -37 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 798559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5 = -5*u, 4*z - 15 = 3*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241332978 to the nearest integer?\nAnswer: 15535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 0, 29, 15, 20 in ascending order.\nAnswer: -5, 0, 3, 5, 15, 20, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v - 6. Let x(r) = -1 + 7*r**2 - 3*r + 2*r + 0*r**2. Let l be x(v). Solve -13 = 4*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310384?\nAnswer: 2, 19, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 15, 13, 2, 9.\nAnswer: -2, 0, 2, 9, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -16 (b) 0.0133 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.8. What is the third biggest value in 5, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o - 792 = 15*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 - 2*d + 4\/3*d**3 + 0*d**2. Let v(u) = 2*u. Calculate v(y(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from gllbkkl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/21)\/(352\/132).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742980 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -830, -575, -320, -65, 190?\n\"Answer: 255*z - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2119 = -11*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14086\/45 - 313. Let w(x) be the third derivative of -1\/360*x**6 + 0 + 1\/9*x**3 + 0*x + 2*x**2 - 5\/72*x**4 + v*x**5. Factor w(a).\nAnswer: -(a - 2)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 14*y - 7. Put 7, -5, y in descending order.\nAnswer: 7, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6*(-1)\/3*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:47 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 g when four letters picked without replacement from qrggbgrg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16099 - 16130. Sort -2, v, -4\/5, -0.4 in increasing order.\nAnswer: v, -2, -4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -293*n + 45437. Calculate k(155).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175, 128, 93, 76, 83, 120, 193, 308?\n\"Answer: t**3 - 54*t + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5585, -11253, -16895, -22499, -28053?\nAnswer: -33545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 105 = -3*k, -5*s + 8*s - 150 = -3*k. Suppose -p = 5*w - 81, 5*p + 38 = 3*w - 33. What is the greatest common factor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97293, -97292, -97291, -97290, -97289, -97288?\nAnswer: -97287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 7, x: 5}. Give prob of sequence ss.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11551 + 11554. Solve 2*c + 16 = -2*a, -7 = 4*a - f*c + 11 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2296350 and 89\/20412?\nAnswer: 4592700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517 (base 10) to base 16.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28145 - -28143. Put -4, h, 0, -134, 5 in descending order.\nAnswer: 5, 0, h, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -931*n*t**2 - 6*n*t - 2*n + 11 wrt t.\nAnswer: -1862*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 = -3. Let q(z) = -4*z - 7. Let t = 68 - 71. Let c be q(t). Solve -c*m = 19 - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) 30\/47 (c) -66418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 18 = -2*h + n + 3*n, -n + 51 = -4*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -748*u**7\/105 - u**5\/60 + u**4\/24 + 94*u**3 + 108*u**2 + u - 25. Find the second derivative of v(j) wrt j.\nAnswer: -17952*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/5 - (-4)\/10. Suppose 0 = 3*p + p - 16. Suppose -24 = -p*r + 5*d, 14 = 5*r + 5*d - 16. Calculate the greatest common factor of r and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2670268.95us to days.\nAnswer: 0.000030905890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7474 + 34084. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 - 5818754*b + 261847980 = 0.\nAnswer: -2909422, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 16*z + 3. Let o(u) be the third derivative of u**4\/24 - u**3\/6 - 2*u**2. Let f(w) = -i(w) + 3*o(w). What are the prime factors of f(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56499*f**2 + 1092065*f**2 - 108766*f**2.\nAnswer: 926800*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -91078\/17 smaller than -5359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1014)\/(-130) + 56\/(-7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x**(2\/7)\/x*x)\/x)\/x*x)**(6\/5)*((x*x**2\/x)\/x)**(2\/23))\/(x\/x**(-3\/16)*x*x**(-5))**(-1\/5) assuming x is positive.\nAnswer: x**(-1709\/12880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 30914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n - 137. What is v(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 7*t**5\/20 + t**4\/3 + 4*t**3\/3 - 3*t**2 + 11*t. Let l(f) = -8*f**3 - 5*f**2 - 9*f + 7. Give 6*l(n) + 7*u(n).\nAnswer: n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 291.742 - 292. Let u = w - -0.058. Which is the closest to 1? (a) 1 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 402*o**2 - 257*o + 51701. Determine h(201).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 5, -1388\/159, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 130 (b) 4 (c) 3\/2 (d) -2\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 4*s - 2. Let k be q(2). Let g = 4861 - 4864. Put g, k, 3\/8 in increasing order.\nAnswer: k, g, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(162) + sqrt(2)))**2 + 2 + sqrt(2)*1 + sqrt(2) + 6*-2*sqrt(2).\nAnswer: -19998 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 22 - (0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*v - 4*q, -20 = -4*q - 4. Solve -4*n + 2*r + 3*r - 9 = 0, -4*n - 2*r - v = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 34408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103543 + 4?\nAnswer: 103551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*j + 2, 0 = -g - j - 2*j + 11. Suppose 0 = -g*b - 20, f + 0*b + 2*b + 4 = 0. Let c(y) = -y + 6. Let u be c(4). Solve -5*w - u = -f*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21)\/(g**(11\/4)\/g))\/(g\/g**(-2\/9))**(2\/63) assuming g is positive.\nAnswer: g**(-51685\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**8\/1680 - 3*a**5\/20 - 10*a**3\/3 + 19. Let t(q) be the third derivative of g(q). Find the second derivative of t(o) wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -16)*(-14)\/(-8). Let s = a - -6. Suppose -y + c - 1 = -s, -y + 16 = 4*c. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 80*r**2 - 85*r.\nAnswer: 5*r*(r - 17)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*d**2 - d**2 - 48*d + 49*d to l + a*d + j*d**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 16*j**2 + 13*j - 15. Determine x(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -19. Put w, 0.2, 0.5, 0 in increasing order.\nAnswer: w, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 229 - 221. Find the third derivative of 29*g**3 - 35*g**3 + g - t*g**2 + 33*g**3 wrt g.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z**2 - 2*z - 1. Let h(w) = -w**2. Let o(n) = 4*h(n) + v(n). Suppose -d + 9*d = -8. What is the tens digit of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12195?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -74, 284 = -410*w + 407*w + 4*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 - -2*1. Suppose -q - 1 = 3. Let n = 1 + q. Put 2, p, n in descending order.\nAnswer: 2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -64. Suppose -5*m - z + 24 = 0. Is (-2)\/5 - 154\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -12101002010111?\nAnswer: 12101002002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 + 44 = 7*q. Let t = 54 - q. Factor 24*j**2 + j + j - 4*j - 25*j**t.\nAnswer: -j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 11. Let z be a(5). Let b(r) = -4*r - z + 6*r - 4. What are the prime factors of b(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyyyyyyyuyy. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*f = -508 + 1430 + 1832 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2292124 - 605*s + 2292124)*(-4 + 4 + 3*s**2).\nAnswer: -1815*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8264471?\nAnswer: 43, 71, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 12*s**2 - 27*s - 13. Let g be c(14). Solve -9*n = -8*n + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g + 0*g - 6*g. Let b(n) = 32*n**2. What is x(b(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2751, 2753, 2771, 2811, 2879, 2981, 3123, 3311?\n\"Answer: v**3 + 2*v**2 - 11*v + 2759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - (37 + -46).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 52*b - 1906. List the prime factors of v(112).\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = -4*p, 0*p + 2*p = -2*i + 6. Calculate the smallest common multiple of 34 and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -h + 4*u, -3*h - 3*u - 6 = 0. Let o(v) = -v - 4. Let d be o(h). Solve -i - 3*i - 4 = d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/6)\/5)\/(90\/(-300))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10068473 and -0.15.\nAnswer: 1510270.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49353104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5787587 or 5787589?\nAnswer: 5787589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdfddadfafadadada. Give prob of sequence dfda.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10ba94040 - 3?\nAnswer: 10ba94039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 28. What is the remainder when v(-7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -84*p**3 + 49*p**2 + 49*p + 49. Let u(b) = -7*b**3 + 4*b**2 + 4*b + 4. Let v = 23 + -72. Determine v*u(m) + 4*q(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 7. Let a be h(-2). Let p(w) = 2*w**3 + 5*w**2 + 8*w - 6. Let b be p(a). Let g = -91 - b. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:20 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -259c6 (base 13) to base 8.\nAnswer: -210236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24787726 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*d - 16 - 8, -3*d - 3 = 3*b. Find the common denominator of -17\/78 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -632938, -632537, -631870, -630937?\n\"Answer: 133*n**2 + 2*n - 633073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49392 and 737439024.\nAnswer: 2212317072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -6, -5*u - 12 = -5*w - 2. Let n(b) = b**2 + 6*b + 6. Let x be n(-4). Let k be -14 - -1 - (w + x). What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -2, 2, 30, -6 in ascending order.\nAnswer: -6, -2, -1, 2, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*s + 1972 = -5*s, 0 = 4*p + 5*s - 7938. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202940 is divided by 67636.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let u be h(-3). Suppose s - 3 = n, 0 = -2*s - u*s + 20. Is -1\/43 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.348 + -0.308. Which is the second biggest value? (a) g (b) -16 (c) -1\/9 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (4 - -2))*(-4)\/(-12). Let z be (-10)\/15*(-3)\/o. Put 4, z, 0, -1 in descending order.\nAnswer: 4, z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Let o be i(-7). Let j = 5 + o. Sort 5, j, -1 in ascending order.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 4*d = 28*q - 14*q, -26*d = -5*q - 6*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/2, 2\/9, 0.015, 6, 2\/3 in decreasing order.\nAnswer: 6, 5, 2\/3, 1\/2, 2\/9, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*q + 42 = 0, -17*q - 13 = m - 12*q. Let v be (2 - 1) + (m - -25). Solve 4*d + v = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 27*d**2 - d + 1. Let g(h) = -84*h**2 + 32*h - 2. Let t(v) = g(v) + 3*u(v). Determine t(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 604.8 + -603.8. Which is the third smallest value? (a) 2\/21 (b) i (c) -1934 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1\/5*s**5 - 36*s**3 + 0*s**2 + 0*s + 0 - 92\/5*s**4 = 0.\nAnswer: -90, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 39.3. Which is the second biggest value? (a) 0.5 (b) 6 (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 + 4*h + 4. Calculate o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/8)\/q)\/q)\/(q*q**(-2\/9)*q))\/(q**(-4)*q**2)*((q**(-2\/7))**(-49))**(2\/121) assuming q is positive.\nAnswer: q**(-16739\/8712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190736 and 777616.\nAnswer: 10109008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 424602915 and 1089?\nAnswer: 1273808745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:38 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 793 - 1306. Are o and -511 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4388 divided by 2194.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**2 - 5\/6*q**3 - 1 + 6*q + 1\/12*q**4. Let i(p) be the first derivative of j(p). Find the second derivative of i(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 305, 1041, 2477, 4847, 8385?\nAnswer: 13325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073 - -3.927. Let x(r) = -r**3 - 8*r**2 - r - 6. Let i be x(-8). Which is the nearest to 0.1? (a) w (b) 6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 3. Let y be 236\/c + (-8)\/12. Is (-3)\/((-117)\/y + -3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 100*q - 51*q - 48*q. Suppose -5*s + 4 = o, 2*o - 16 = -2*o + s. Let i(u) = 2*u + 7*u - o*u. Determine i(w(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 22. Solve -w = -t*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -40626*y**3 + 2193808*y**2 - 216*y = 0.\nAnswer: 0, 2\/20313, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 2, 3, 54, 1\/9 in increasing order.\nAnswer: 1\/9, 0.9, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 149*g + 4117. Give i(113).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 0.574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -20*b - 65\/12*b**4 + 0 - 9\/4*b**5 + 30*b**2 + 20\/3*b**3 + 1\/6*b**6 + 5\/42*b**7. Solve z(t) = 0 for t.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13785*h**2*l**5 - 2*h**2*l**2 - 5*h**2 + 3*h*l + 38161*h - 8*l**5 wrt l?\nAnswer: -827100*h**2*l**2 - 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/35))\/r**(-7))\/(r*r*r*r**(2\/7)*r)**(2\/69) assuming r is positive.\nAnswer: r**(6386\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 13*t - 10 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 773296*r + 3866530 = 0. What is r?\nAnswer: -5, 386653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s**2 + 3*s)*(-4*s**2 + 0*s**2 + 0*s**2) - 41*s**4 - s**2 - 31*s**4 + 53*s**4.\nAnswer: -15*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 2148 in descending order.\nAnswer: 2148, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let o(j) = j**2 - 23*j + 20. Let f(h) = -o(h) + 3*x(h). Let g be f(9). Suppose -g - 5137 = p. Round p to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 2}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Suppose -2*x - 3*x - 25 = 0. Let z be ((-10)\/(-1))\/(-5)*(-2)\/x. Which is the closest to 2? (a) s (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2. Let s(u) be the third derivative of 77*u**4\/12 - 5*u**3\/6 - 334*u**2 - 2*u + 1. Give s(w(i)).\nAnswer: 616*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 713040.3382 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 526520692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 824 + 5066 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**2 - 4*h**5 + 17*h**5 + h**2 wrt h.\nAnswer: 780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-11)\/((-462)\/12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10817*a - 1211410. Calculate h(-112).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-3 - 1))\/(-3). Let q(g) = g**3 - 4*g**2 - 2. Let u be q(4). Which is bigger: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27185789, 27185787, 27185785, 27185783, 27185781, 27185779?\nAnswer: 27185777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14399589 is divided by 173488.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 18. Let t = 5 - f. Suppose -t = -4*z - 6, 2*v = -4*z + 24. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 13. Determine w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - h = -37, 5*c + 9 = 5*h + 34. Solve z = -c*l + 2*l + 9, 3*z = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:57 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1245354\/4)\/(-33)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:31 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*j - 39*j - 4*g - 44, -2*g = -3*j + 20 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 12*p - 20. Solve -j - p = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 + 8) - (1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*c - 6*y, 0 = -5*c - 27*y + 23*y - 31. What is the second smallest value in 4\/5, 5, c, -0.01, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600a (base 11) in base 2?\nAnswer: -1111100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenjenjnenjeennj. Give prob of picking 1 e and 1 n.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -84.082?\nAnswer: -1933.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 295438 and 196?\nAnswer: 57905848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5729, -3333, -18433, -39571, -66747, -99961, -139213?\n\"Answer: -3019*p**2 - 5*p + 8753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (-5 + (sqrt(1377) - (sqrt(1377)*-2)**2) - (2 + sqrt(1377) + 2)) + -1).\nAnswer: -16569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (0 - -4))*6. Suppose 2*b + 5280 = 5*b. Does 12 divide b\/72 - (-8)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1332 and 7?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1644*j - 42*j - 46368 = 330*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9216067 to the nearest integer?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 4*b + 72 = 2*r, r + 36 = 2*b. Suppose 2*d + 2*d = -b. Suppose 0*q + 3*q = 6. Sort 3, d, q in decreasing order.\nAnswer: 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 7) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58abaa - 2?\nAnswer: 58aba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265922*b + 265850*b = 1512 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*j**5 - 178415*j**3 + 9*j**2 - 716279609*j wrt j.\nAnswer: 340*j**3 - 1070490*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l - 48. Let t be d(-1). Let b be (165\/(-4))\/((-2)\/8). Let h = b + t. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17631365?\nAnswer: 5, 3526273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-14)\/((-490)\/(-15)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26314956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7435, -15083, -22731, -30379, -38027?\n\"Answer: -7648*x + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -100. List the prime factors of y\/(1\/(-81)*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5224306367 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, 4, -1.489 in decreasing order.\nAnswer: 4, 3\/5, -1.489, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, -1689, 9, -4, 0 in ascending order.\nAnswer: -1689, -4, 0, 9, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27389 divided by 29236?\nAnswer: -27389\/29236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 + 72835*t + 149830760 = 0.\nAnswer: -12088, -2479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57\/(-19) - (-1)\/(-1). Let s be ((-2)\/(-2))\/(c - -5). Solve -f + 6 = s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.0728 (b) 0.4 (c) -20 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/(-88))\/(1*1\/(-16)). Let o be (1*d\/(-14))\/((-2)\/7). Suppose -3*h + 20 = o*h, 2*h = 2*p + 28. What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, 2\/1723 in descending order.\nAnswer: 2\/1723, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:57 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + (-3 - -8) - 66 - 6. Calculate the remainder when 62 is divided by 0 + 438\/10 + (-15)\/n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 850*y - 25140. Calculate h(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, g: 5, a: 2}. Give prob of picking 4 m.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.10503 + -0.00503. Let m be 3*((-12)\/8 - 2). What is the third biggest value in p, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-11 + 403\/26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 3*f**7\/7 + f**3\/2 + 5*f. Find the second derivative of p(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/48 - (-5)\/(-6). Let q be -1 + v + 0 + 34. What is the tens digit of 6\/(3 - 90\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*a - 5263 + 5266 + 4*a.\nAnswer: 36*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002812 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 52. Suppose -2*g - k - 9 = 0. Let f(t) = -8*t - 7. Let r(i) = -7*i - 6. What is g*f(z) + 7*r(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*c + 9 + 0 = 0, 4*l + 4 = 4*c. Solve l = 23*o + 47 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -c + 2*c - 2*u, -u = 3. Let y be (2\/3)\/(6\/(-9)). Sort -3, c, y in descending order.\nAnswer: c, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0808 - 0.1.\nAnswer: -0.1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1568 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -943, 4, 1, 27, 18 in decreasing order.\nAnswer: 27, 18, 4, 1, -943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, 2, -7 in increasing order.\nAnswer: -193, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. What is the derivative of u*b + 0*b - 3 - 3*b**2 + 2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let q(t) = 286*t + 26. Let b(m) = -32*m - 3. Let a(f) = 26*b(f) + 3*q(f). Calculate s(a(l)).\nAnswer: -104*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*u**6 - 19*u**6 + 7*u**6 - 38*u**2 + u**6 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1178 - 412 = 28*c - 1082. Are 324\/5 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51892\/75 - 1164\/25. Is 645 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22369271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -668 + 667.391. Let u = g + 0.609. Let x = -0.6 + 1. Which is the closest to u? (a) 1\/4 (b) x (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 - -449. Let q(m) = m**3 + 6*m**2 - 4*m + 4. What is the remainder when q(-6) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205700826?\nAnswer: 2, 3, 2377, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3637.707299 rounded to the nearest ten?\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 267763, 535784, 803819, 1071874, 1339955, 1608068, 1876219?\n\"Answer: q**3 + q**2 + 268011*q - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20))\/((-1)\/5*6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (14\/(-4) - 1). Suppose 3\/2*z - a*z**3 + 0 + 3\/2*z**2 - 3\/2*z**4 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - 3\/(81\/(-1101)). Suppose -21 = 5*y - v. Suppose -5*x - 2*n + 16 = 0, y*n + 11 = 3. Solve 0*z - 2*z = -x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 32690873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 7. Let f = 0.4464 - -0.5536. Sort 0.1, f, -3\/10, z in descending order.\nAnswer: f, 0.1, -3\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Let p(s) = s. What is -2*p(k) - r(k)?\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + (6 - 0) + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -m - 24, 39*m - 14*m - 15 = 22*m for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 208413.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.3 - -36.7. Let f = -72 + v. Which is the nearest to 0? (a) f (b) -4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001111 (base 2) in base 4?\nAnswer: -32033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*q - q - 15066 = 0, j + 11*q - 5022 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1102413423 - 4?\nAnswer: -1102413431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 121 = 3*n, 3*t + 3365 = -4*n + 3541 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/9 + 106*f**4\/9 - 718*f**3\/9 - 106*f**2\/9 + 80*f = 0. Calculate f.\nAnswer: -1, 0, 1, 8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/13130 and 119\/260?\nAnswer: 26260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-4 + -2 + (-5 + -2*sqrt(720))**2)*3 + 0.\nAnswer: 10800*sqrt(5) + 130455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 1922*o**3 - 1918*o**3 + 1 + 0 + (-5*o**2 + 2*o**2 + 4*o**2)*(0 + 0 - o) to the form g*o**3 + l*o**2 + k*o + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 267\/178 - 4\/3. Suppose 0 = d - 1 - 4, -d + 7 = -v. What is the biggest value in v, f, -0.1, -1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4 and -25\/162251?\nAnswer: 649004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 = -7*m + 2*m, 0 = 3*m - 2*x - 12. Suppose -p + 320 = m*p. Let c = p + -31. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 15*k**2 - 36*k + 564. Let x be c(15). Solve x*f - 120 = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 450298 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-10)\/(-50))\/(42\/20) - (9 + -9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-6) - 6\/(-9). Suppose g - 4*g + b = -231, -b = -g + 77. What is the greatest common divisor of g and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1323616 and 2736.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -213?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 19*x**2 + 298*x + 2755. Give a(-11).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 - 6*q**2 + q**2)*(4 + 3 - 5)*(10 - 6*q - 10) to the form o + v*q + l*q**3 + h*q**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f**5\/5 - 5592*f**4\/5 - 116307*f**3\/5 - 165108*f**2\/5 - 12219*f - 1350 = 0. What is f?\nAnswer: -90, -25, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1746324 and 2369.\nAnswer: 1748693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -2 - 1\/6*n**3 + 20*n**2 + 17\/40*n**6 - 13\/60*n**5 + 0*n**4 + 0*n. What is the third derivative of y(w) wrt w?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7776051m in centimeters?\nAnswer: 77.76051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030957059 rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13. Let c(x) = -2*x - 53. Let v(j) = 4*a(j) - c(j). Calculate v(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/132 + 5*x**3\/22 - 17*x**2\/11 - 4*x - 49. Determine u so that s(u) = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*q + 3*h, -2*h - 1 + 9 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b + 6*b - 3*b + (-1 + 1 - 1)*(11 - 5 + 5)*(-3*b - 3*b + 7*b) in the form c*b + k and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1214\/7 - 100748\/581. Let y = -79\/166 - p. Suppose 15 = -2*l - 3*l. Which is the third biggest value? (a) -1 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - -7) + 7 + (-2 - -3). Suppose 5*d = 3*d + 8. Solve 0 = -5*y + t + d*t - o, y + 9 = 3*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (0 - -1) + -1 - (14438 + -14462).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110475181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7055, -7056, -7057, -7058?\nAnswer: -7059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777504 divided by 178.\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -271858 divided by -8\nAnswer: 135929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/3 - 2*m**2 + 3*m - 8. Calculate x(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 53, 69, 85, 101?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**3 - 4*u**3 - 3*u**3 + (-3*u - 2*u**3 + 3*u)*(0 + 4 - 2)*(1 + 1 - 4).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 61, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16806838, 67227311, 151261426, 268909177, 420170558, 605045563, 823534186, 1075636421?\nAnswer: 1361352262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 2*w - 3. Let m be u(-3). Suppose 9*x + 387 = 8*x. What is the units digit of (-4)\/(-10) + x\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) -1 (b) -261 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*t + t + 35, 4*t = 3*d - 9. Let n(s) = 45*s**2 - 9. Let o(c) = 23*c**2 - 5. Let y(b) = t*n(b) + 11*o(b). What is y(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:35 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 7. Suppose -5*x = -n - 121, 4*n - 2*x - 506 = 8*n. Let q be (-26)\/n + (-15)\/35. Which is the closest to q? (a) 1 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3181283 take away 3?\nAnswer: 42.3181283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 47*d + 63. Let o(r) = 3*r**2 - 46*r + 86. Determine 3*o(z) - 4*v(z).\nAnswer: -3*z**2 + 50*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -39. Suppose 2 = 2*l - 2. Suppose 3*g = l*i + 47, -48 - 25 = -5*g - 2*i. Calculate the greatest common divisor of k and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -2 - 310\/15. Let f = o - -23. Let p = -165 + 163. Sort f, -1\/2, p, -0.1 in increasing order.\nAnswer: p, -1\/2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4630588 and -45\/688.\nAnswer: 796461136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txs when three letters picked without replacement from sttsttqqttxttttt?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -74*d + 6*d**2 - 5*d**2 + 74*d + 1. Let y be h(-3). What is the units digit of -2 - ((-75)\/y + (-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116111 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 114 + 114)*(-u**2 + u**2 - 3*u**3) - 5*u**4 + u**4 + 6*u**4.\nAnswer: -58*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0553428649 rounded to 3 decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 715\/(-90) + 0 + 4\/3 and 5\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2. Let z(h) = 11*h - 11*h - 3*h. Give t(z(r)).\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 60. Let s(i) = 4*i - 57. What is 5*p(u) + 4*s(u)?\nAnswer: u + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -m + 37, 5*m - 4*i - 114 = 216. Suppose m = 2*z - z. Suppose 5*y - z = 3*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 11) in base 15?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2988865, -2988841, -2988765, -2988631, -2988433, -2988165?\nAnswer: -2987821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*y = 0, 5*m = 4*y - y. Suppose 5*h - 92 - 38 = m. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4205058 + 4205062.000022. Let b = 4 - m. What is b rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218798094 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 141.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10561982 + -10561971.000086. Let u = n - 11. Round u to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -101222?\nAnswer: 101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2) + 20\/(-165)*-9. What is the smallest value in f, -4\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -827*q**2 + 40 + 18 - 59 + 0*q**3 - q**3 as m*q + x*q**2 + b*q**3 + i and give x.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-27)*(2*12\/(-16))\/(30\/120)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5.24, 0.1, 2\/15, 11.1 in ascending order.\nAnswer: -5.24, -4, 0.1, 2\/15, 11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 + 5*j + 9. What is the smallest common multiple of 4 and q(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Find the second derivative of 0*v**5 + v**5 + 5*v - v**l + v**3 wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/32*(-5)\/(-330))\/(6\/(5 - -7))?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -8 - (-10 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-11))\/(6\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -727*u**8\/336 + 457*u**5\/30 - 9*u**2 + 23*u. What is the third derivative of v(x) wrt x?\nAnswer: -43620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3\/4 (c) -28 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8946+241.668956\nAnswer: 9187.668956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1\/2*u - 3\/8*u**2 - 3 + 1\/12*u**3. Factor v(z).\nAnswer: (z - 2)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 9 + (-4 - 1) + 2 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/338 and -59\/234.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let g(m) = -1324*m**2 + 17*m + 34. Let z(q) = -221*q**2 + 3*q + 6. Let k(h) = -6*g(h) + 34*z(h). What is k(w(s))?\nAnswer: 1720*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**5 + 0 - 21*z**2 + 1\/6*z**4 + 0*z + 1\/12*z**6 + 0*z**3. Find the second derivative of g(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 28 + 7 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*h + 2 + 5, 5*v + 3*h - 34 = 0. Let y be (-1)\/(v\/4)*20. Let n = 20 - y. What is the greatest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (2 + -25 - -39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = -5*j + 306. Let r = 309 - j. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 - 4*m - 89. Let c(v) = v + 20. Give -2*c(b) - h(b).\nAnswer: 12*b**2 + 2*b + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.3 (c) 1\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose 0 = -2*r + 2*f + 202, r + y*f - 109 = 3*f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - -47229.\nAnswer: 47261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1555.206 litres to millilitres.\nAnswer: 1555206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) -5\/3 (c) 0.4 (d) -0.4 (e) 14\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 + 42\/(-5)*500\/(-15) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + r - 168 = 0, -3*r + 71 = 388*d - 393*d - 34 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 6*b + 3. Let s be q(3). Suppose -5*i = 4*r + 15 - 99, 80 = 4*r + 4*i. Let v = r - s. Solve k - 2*h - h = 12, v*k - 6 = -2*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 833 divide 14458405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7469, -7470, -7471?\nAnswer: -7472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*b + 25, 2*p + 3*b - 8 - 7 = 0. Let s be p*(9\/6 + -2). Put s, -2, -11 in descending order.\nAnswer: s, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-15)*11\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 23821 = -3693. List the prime factors of k.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18*d**2 + 166. Let n(m) = 5*m - 1. Determine n(h(o)).\nAnswer: -90*o**2 + 829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481.3175 meters to centimeters.\nAnswer: 48131.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2892 and 52524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c598 (base 15) to base 8.\nAnswer: 121450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 1, o: 3, p: 3, f: 3, d: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {u: 2, b: 2, r: 4, y: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) 0 (d) 6.45 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 + 873*y**3 - 779*y**2.\nAnswer: -24*y + 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17906302 and 654?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34545 divided by 21\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 4*p + 2*p**5 + (5*p**3 - 2*p**3 - p**3)*(-3*p - p**2 + 3*p) + 17*p**5 - p**5 + 45*p**5.\nAnswer: 61*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:54 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 269474519685176 plus -0.4?\nAnswer: 269474519685175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o + 3*g = 68, -12 = 4*g. Suppose -5*y = -3*y + 44. Let t = o + y. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (3 - 10\/2). Suppose 3*v - 45 - 12 = j. Solve -4*m - v = -7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*u + 33 = 0, 0 = 5*a - 5*u + 15 - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10010010110?\nAnswer: -10010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*m - 3 + (4 - 3 - 3)*(2*m + 4*m + 15*m) + (-1 + 5 - 2)*(-m - 2*m - 2*m).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34973 - -34984. Solve 67*y - k = 56*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhm when three letters picked without replacement from mmggggbbggmhggbmgm.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1938, -3868, -5788, -7692, -9574, -11428, -13248?\n\"Answer: t**3 - t**2 - 1934*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018, -2114, -3196, -4258, -5294, -6298, -7264, -8186?\nAnswer: -9058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12012 or -12010?\nAnswer: -12010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-4\/5)\/((t\/(t*t*t\/t**(-7)*t))\/t**3) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - v. Let t be m(3). Let w be t\/25 - (-4)\/(-10). Solve -25 = -5*h + 5*b, h - 5 = -w*b - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 32*p - 46 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 + 88145*s**4 - 616620*s**3 - 2643280*s**2 - 352640*s + 3524400 = 0. What is s?\nAnswer: -2, 1, 10, 17622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -36*t - 2. Let q be u(-2). Let p(w) = -w - 42. Let j be p(0). Let o = q + j. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17\/l)**(10\/11)\/(l\/(l\/(l*l**(1\/2)*l))*l)**(-2\/17) assuming l is positive.\nAnswer: l**(2797\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17 = 5*l. Let h(u) be the second derivative of u**5\/20 + 4*u**4\/3 - 17*u**3\/6 - 3*u**2 + 692*u - 1. Calculate h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6570 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*g + 9, o + 0*o = -2*g + 6. Sort -5, -3, o, -1 in decreasing order.\nAnswer: -1, -3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7*g + 7)*(3*g - 6*g + 2*g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.5 - 24.8. Let k = o - -9. Let x = -19 - -23. Sort k, x, 0.2.\nAnswer: k, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 11 = 7. Sort u, -1, -29 in increasing order.\nAnswer: -29, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*v - 5*v + 3435, v = 5*y + 5725. Let m = y - -12585\/11. Calculate the common denominator of m and (-1)\/(-2)*21\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 49.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.98803584 rounded to two decimal places?\nAnswer: 7.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2 in ascending order.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157432?\nAnswer: 2, 3, 241, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -4 + -5 + 81 + (12 - (-17 + 45))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/6 - 2\/3. Let i be (1*-1)\/((-2)\/(-8)). What is the nearest to -0.1 in -5, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 3 - (-3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 2*a - a + 6*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1226*l. Let n(r) = 3*r + 23. Determine n(f(a)).\nAnswer: -3678*a + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 15009*g = 15010*g + 2, -18*z - 4*g = 42 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 6*sqrt(99)*2)\/(sqrt(27)\/sqrt(12)) + 4.\nAnswer: 4 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 - 2*i. Let z = -15 + 9. Let c be z*(0 - (-4)\/(-8)). Let v be k(c). Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + 2 - (1 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5 + 180\/80*(-232)\/15.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3662115156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d**2 + d**3 - 5*d**2 + 5*d - 3*d + d**3 to the form p*d**3 + t*d**2 + o + w*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602 and 156366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 287 = -2*g + 5*s, -3 = -3*s. Let n = 148 + g. Solve -3*x - 20 = -n*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2 - 2 + 3)*(3 - 2 + 21*m - 19*m)*(-m**4 - 3*m**4 + 12*m**4).\nAnswer: 16*m**5 + 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96782 nanometers in micrometers?\nAnswer: 0.00296782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912*(51\/(-9) + (5 - -1)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2 - 7*i - 3*i**2 + 8*i - 5*i**3. Let q be v(2). Let d = q - -36. Does d = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -2 (b) 2 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0, 4\/123, 2\/345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 + 165. Let g = 0.5 - 0.62. Let j = g - 0.58. What is the nearest to j in -5, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2062 + -2061. Let i = -9.4 + 8. Let q = i + 1.4. Which is the closest to f? (a) q (b) -4\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 154. Solve 0 = y*d + d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y**2 + y**2 + 0*y**2)*(-427*y - 369*y + 139*y) as i + l*y**2 + u*y + f*y**3 and give f.\nAnswer: -6570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/101997 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/(-14) + (3 - 4) and (-15)\/2*((-856)\/(-160) + -7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/(66\/154)*198\/(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 2, w: 6, x: 3, j: 3}. Give prob of picking 2 w, 1 x, and 1 v.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470811123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2 - 69\/(-6). Let j = m - 9. Factor 2*n + 4 + n**2 - j*n**2 + 2*n**2 - n**2.\nAnswer: -2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o - 14. Let k(v) = 2*v - 5*v + 5 - 2*v. Give 4*f(m) + 11*k(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 + 260. Suppose -3*m + 4*m = 2*o - z, -100 = -5*o - 3*m. Solve -29*h + 33*h - o = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/(4 + -9 + 3). Let s(y) be the first derivative of 0*y**3 - 12*y + b*y**2 - 6 + 11\/4*y**4. Differentiate s(k) with respect to k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1870744 and -0.3.\nAnswer: 0.05612232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + -18 - 20 - -10. What is the second biggest value in -4, -36, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 6, n: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 5013*v**3 - 25116*v**2 + 40212*v - 20112 = 0. Calculate v.\nAnswer: -1676, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 26 = 5*d, 3 = -5*d - 5*z + 38. Let k be (1 - 3)\/((-1)\/d). What is the greatest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, h: 2, k: 4, b: 3, d: 1, x: 3}. What is prob of picking 1 k, 1 x, 1 b, and 1 r?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Suppose 3*s = 2*d - 45, -3*d = 2*s + 11 + 19. Let z be 52\/(-60) - 10\/s. Which is the closest to l? (a) -0.4 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - -0.3. Let t = -0.4 - 1.6. Let x = -39 + 116\/3. Which is the second biggest value? (a) x (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 8 = x - 5*i, 4*x + 8 = -2*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 121*u**6\/20 - 97*u**5\/4 - 20*u**2 + 8. What is the third derivative of v(q) wrt q?\nAnswer: 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 90 = -f, 8*q = 4*q + 3*f - 106 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 20. Let w be o(20). Let u(g) = -6*g**2 + 20*g - 19. Let n be u(1). Sort n, w, -33 in decreasing order.\nAnswer: w, n, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)*n)\/n*n**32*(n**(7\/8)*n)**17 assuming n is positive.\nAnswer: n**(335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33870590.\nAnswer: 2, 5, 13, 260543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10, 3\/110, 2?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156346841.\nAnswer: 3, 13, 29, 31, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 393420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2391.2+-0.02\nAnswer: -2391.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-14)*w**(-8)*w**14*((w\/w**(-9\/7)*w)\/w)\/w)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -9\/19, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k**4 - k**3)*(8 - 17 + 3)*(6 - 3 - 4).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 29 = 16*i - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, u: 2, m: 2, w: 10}. Give prob of sequence uw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/12 - r**3\/3 - 3*r**2 + 14*r. What is the units digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 5*y + 2. Let t be n(-3). Suppose 4*m = t*x - 2987, -x + 4*m = -6*x + 2963. Suppose q + 6*q - x = 0. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 34*b - 279 = 0. What is the highest common divisor of b and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968659 is divided by 242163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 5*y - 3*y - 4*y)*(2*y - 2*y + y**2 + (-y + 3*y - 4*y)*(5012 - 244*y - 5012)).\nAnswer: -978*y**3 - 10269*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 682*h**2 + 940*h - 41. What is f(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11146.\nAnswer: 2, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 + -196. Let p(k) = -k + 10. Let t be p(7). Let m = -13 + 22. Solve -b*c - t = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = j + 61, 5*j + 72 = 2*b + 15. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4871*a**4*u**2 + a**2*u**2 + 552*a**2*u + a**2 - 25*a wrt a?\nAnswer: 116904*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 5*j = 14*z - 76, -3*j + 116 = 17*z - 5*z + 2*j for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/(z*z\/(((z**(-1)\/z)\/z*z)\/z))*z)*z*z**(-2\/5)\/z)**(-29) assuming z is positive.\nAnswer: z**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(133)\/(sqrt(21)\/sqrt(3)) - sqrt(19) - sqrt(19)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 211049.45.\nAnswer: 211061.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12772 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/5)*x*x*x)\/x)\/x**(-1\/16)*(x**(3\/14)*x)\/(x*x**(2\/89)))**(7\/3) assuming x is positive.\nAnswer: x**(34129\/7120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86428*p*x**3 + 34*p*x + p - 1 wrt x?\nAnswer: 518568*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f*m**3 - 8*f*m**2 + 12*m**3*u - 33*m**2*u wrt m.\nAnswer: 78*f + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + g - 8 = -3*g, -37*q + 8*q - 23*q = -g - 151 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 9779*t**5 - 399*t - 5*t**4 + 9758*t**5 + 5*t**6 + 4*t**2 - 19664*t**5 wrt t.\nAnswer: 600*t**3 - 7620*t**2 - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160.7 - -21.3. Let u = p + -181.7. What is the second biggest value in -1\/5, 2, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 721.743*-2\nAnswer: -1443.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)\/(r**(-3)\/r))**(-1\/3)\/((r**0\/r*r)**(1\/2)*((r*r**5*r)\/r)\/(r*r\/r**(-4))) assuming r is positive.\nAnswer: r**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*f - 184*f + n, 10 = 2*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/60 + 5*t**4\/24 - 2*t**3\/3 + 5*t**2. Let l be j(2). Is 7 a factor of 10\/(-8) + l - (-411)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-3)\/h*h))\/h**(3\/5)*(h**(-1\/2)\/h)**14 assuming h is positive.\nAnswer: h**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-448)\/480 + 2\/6 + 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 25 = 0, 3*r + 58 = -5*h + 18. Let f = -1.7 - 9.3. Let l = -10.5 - f. What is the second smallest value in l, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z - 5*z**2 - 2 + 12 - 7 + z. Give a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c75 + 1695?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 13499, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*i + 71, -106 - 39 = -4*i - 5*c. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - -1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -0.362 (b) -1 (c) 2\/307 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9975 + -11263. Is j at most as big as -1292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 31 + 175. Suppose 1526 = 5*x - b. Round x to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12314 is divided by 1366?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 167*c - 1092. Give z(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -69*k**2 - 32*k - 87. Let a be m(16). Are -18263 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 11, 34, 77, 146?\n\"Answer: z**3 + z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(1\/4)))\/(g\/(g*g**38\/g)) assuming g is positive.\nAnswer: g**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 1, l: 1, c: 6, a: 3, f: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -286913, -573820, -860727, -1147634?\n\"Answer: -286907*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920764 is divided by 306795.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128700020\/110 + (-6)\/33. What is t rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-1\/4)*p))\/p)\/p**(-7)*(p**(-4)\/p*p)\/(p*p*p**(-14)))**(31\/2) assuming p is positive.\nAnswer: p**(1643\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 3. Let c be (-19)\/12*2 - 351\/(-2106). Give q(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 - 45. Let b = -114 + 257. Suppose -c = -4*f - 2*o, -o = 4*f - b - 4. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:22 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 594, 711, 1000, 1539, 2406, 3679?\n\"Answer: 13*k**3 + 8*k**2 + 2*k + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**6\/3 - 2*a**4 + 2*a**2 - 8. Factor s(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t. Let p be w(1). Let o(k) = 3*k + 4. Let j(m) = 16*m + 20. Let v(a) = 2*j(a) - 11*o(a). List the prime factors of v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a + 3*a + 6*a + 11*a + 6*a**5 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/45)\/((-2)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -17, -3, -1\/3, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124781*j**3 - 78355*j**2 wrt j?\nAnswer: 748686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -23*a. Let x(t) = t + 1. Let u(n) = 4*n + 3. Let l be (168\/(-70))\/(2\/(-5)). Let k(m) = l*x(m) - 2*u(m). Calculate k(j(p)).\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00149293418 rounded to five decimal places?\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8, -w + 220 = 3*w - 2*r. Suppose 305 = -6*o + 7*o. Suppose 0 = -13*l - 123 + o. What is the remainder when w is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139230549 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11508996*t**2. Let v(r) = -6*r. What is y(v(l))?\nAnswer: -414323856*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*v**4 + v**2 + 320 wrt v?\nAnswer: 52*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 168 + -180 + (-2 - -17) - (0 + 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-345)\/(-460).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -62. What is the tens digit of (-5943)\/p*(0 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 14. Let f be o(-8). Let t be (f\/4)\/((-30)\/(-1480)). Let a = t - 39. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2488 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7 = v, 4*h - 4 = 224*v - 228*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k**2*k)\/k)\/(k\/k**(2\/11)))\/((k*k**(-6\/13))\/(k**(-2\/9)\/k)) assuming k is positive.\nAnswer: k**(1829\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*m = 182*m + 150722. What are the prime factors of m?\nAnswer: 2, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (2 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130f (base 16) to base 7.\nAnswer: -20140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -13.99999945. Round j to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(931) - (-1*(sqrt(931) + sqrt(931) + sqrt(931) + -2))**2)*-1*-3*6.\nAnswer: -301788 + 3276*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-6))\/(-3 - -4*(-14)\/(-21)). Put -113, d, 1, 2 in descending order.\nAnswer: 2, 1, d, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 598 + 5110 = 0. What are the prime factors of p?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 - (2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2\/5 + 9*n - 30 = 0.\nAnswer: 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1150*b**4 + 2*b**3 + 2252*b**2 + 114247671?\nAnswer: 4600*b**3 + 6*b**2 + 4504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 * -19\nAnswer: -0.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Solve -s = -1 + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, v: 2, q: 2, u: 7}. What is prob of picking 1 u and 2 q?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o**3 + 4*o**4 + 261*o**2 + 27225*o - 27224*o + 33*o**3 to the form n*o + m + c*o**2 + h*o**4 + i*o**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ggdggggggggggggggdg.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 1. Suppose -z + 3 = 4. What is the lowest common multiple of 15 and p(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 3780 - 24167. Let x = 1707 + a. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - -1) + -17 + (27 - 33).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 2, o: 2, v: 4, u: 1, f: 1, t: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 10, b: 2, y: 3, p: 1}. Give prob of sequence bbcp.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 3550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 4914684.\nAnswer: -1\/2457342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**4 + 3*u**4 - u**4)*(-3*u - u - 3*u).\nAnswer: 35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6973306980 rounded to the nearest 1000000?\nAnswer: 6973000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 24. Suppose 0 = 5*q + 4*f + 55, 4*f = 5*q + 16 - 1. Let o be u(q). Suppose -6*y + o = -218. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*t - 242, -10*t + 7*t = 5*d - 607. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-55)\/(-10) + -6). Suppose 13 = -2*s - 5. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + ((19 - -17) + -19 - 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 + -3.2. Let p be 95\/(-15) + 4 - -2. What is the biggest value in 2, l, -2\/11, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(88) - (-2*sqrt(88) - sqrt(88)))*-3)\/((sqrt(88)*-1)\/sqrt(11) - (sqrt(8) - sqrt(40)\/sqrt(5))*-4).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04774172 and -0.0328.\nAnswer: -0.08054172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.96 + -226. Let v = i + 4. Let j = v - 3.96. Which is the closest to -2\/11? (a) j (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.979 + 37.979. Which is the closest to -0.01? (a) -14\/11 (b) -0.3 (c) z (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4882 + 9761 - 4879 + 359*y + 203*y as l + t*y and give t.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058506191 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -766106 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (-3 + -2 + sqrt(343))) + 4*(sqrt(343) + sqrt(343) + 4))**2*-1*-6.\nAnswer: 14112*sqrt(7) + 134358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70961232 divided by -3704?\nAnswer: 19158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4705 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 1, -10*d + 13*d - 21 = -3*w. Put 5, d, -3 in decreasing order.\nAnswer: d, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let v(s) = s**3 + 11*s**2 - 14*s - 24. Let h be v(-12). Sort h, z, -1\/2 in descending order.\nAnswer: z, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose -b*r + 8 = 6*n - n, 2*n = 0. Factor -3*h - 3*h**3 - 5*h - 12*h**2 - r*h.\nAnswer: -3*h*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 148?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293104053*g**3 - 1044079*g**2 - 47*g.\nAnswer: 1758624318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgz. Give prob of picking 1 g and 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3)*s)\/(s\/s**(-4\/5)))\/((s\/s**(-1\/4))\/(s**2*s)))\/((s**8\/s*s**(-6))\/(s\/(s\/s**(5\/2))*s**(-3))) assuming s is positive.\nAnswer: s**(-71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(1 + 0)\/1. Suppose -l*u + 44 = -4*b, 4*u = -4*b + 44 - 16. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -37. Let o(p) = -p**4 + p**2 - p + 1. Let z(q) = -21*q**4 + 2*q**2 + 26*q + 2. Let y(a) = d*o(a) + z(a). Find the second derivative of y(u) wrt u.\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 + 11?\nAnswer: -11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354442 (base 7) in base 12?\nAnswer: -89175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w, -65 + 373 = 4*v - 5*w. Let n = v + -42. What is the tens digit of 56 + n\/(-5) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-11) - ((9896\/(-440) - -10) + 12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*w - 21, 3*w - 8 = -w + i. Let y be (w + -11 + 9)*-5. Solve y*r - 34 = -44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32852 - 160887\/5. Let i = 27003\/40 - y. Let f = i + -3\/8. Which is the closest to -0.1? (a) 0.3 (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and 12.3551393.\nAnswer: 12.2851393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3\/3 - 3*q**2 + 46*q + 1547. Calculate z(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 981 or 973?\nAnswer: 981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 211, 322, 433, 544?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = 11*h - 1216. Suppose 9*i - 13*i - 110 = -3*o, -4*o - 3*i + 155 = 0. Calculate the greatest common factor of h and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.253293 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10023112 (base 4) to base 2.\nAnswer: -100001011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50327 and 3412?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1331?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110453, 442767, 996617, 1771997, 2768901, 3987323?\nAnswer: 5427257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 9 - 11. Suppose 16 = -2*a - 3*t - t, -3*t - 12 = a. Let k = a + f. What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 13*m - 7 + 18 as y*m + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(152)\/((sqrt(48)*1 + sqrt(48))\/sqrt(6)).\nAnswer: sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9 + (-34 - 681\/(-18)))*(-40)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 85*g + 6. Let j be k(-1). Let b = -75 - j. Suppose 482 = 2*h + b*i, -2*h + 142 = -5*i - 304. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393895949 to the power of 1\/2, to the nearest integer?\nAnswer: 19847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a1 + 214?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500\/7*h + 1032\/7*h**2 - 768\/7 - 496\/7*h**3 - 4\/7*h**5 - 264\/7*h**4 = 0. What is h?\nAnswer: -64, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 8*s**2 + 35*s + 23. Suppose -5*b - 35 = 5*y, 0 = -9*b + 14*b + y + 51. Determine p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 188\/70 + (-6)\/2. Let m = -3\/5 - y. Are m and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11285 and 30.\nAnswer: 67710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1763879 (c) -2\/9 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - 4*u + 5. Let j be h(-5). Suppose b - 27*b + 234 = 0. Let i be (7 - (-5 - -13))\/(b + 0). Is i at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638908097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 11. Let z(a) = -17 - 2*a**2 - 2*a**2 + 10 + 3*a**2. Let n(y) = -y + 11. Let f be n(16). Give f*k(r) - 8*z(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -102, -111, -120?\n\"Answer: -9*q - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 7*k + 3. Let r(j) = 2*j**2 - 13*j + 4. Let p(b) = 4*r(b) - 7*t(b). What is p(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 297, 0.3, -48.25, 4?\nAnswer: -48.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -442, -226, 288, 1226, 2714, 4878, 7844?\n\"Answer: 21*o**3 + 23*o**2 - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 190 - 10. Let d(i) = i. Let y(l) = -30*l. Let v(x) = s*d(x) - y(x). Does 12 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1790931 - -2751820. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyc when four letters picked without replacement from cccyyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053 rounded to 6 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 1. Let m(j) = j**2. Give m(g(x)).\nAnswer: 81*x**2 + 18*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690816824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 + 68104*p\/9 + 1537624.\nAnswer: -2*(p - 34254)*(p + 202)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/5*c**2 - 2\/5*c**3 + 0 + 6*c.\nAnswer: -2*c*(c - 1)*(c + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/20*14*20\/(-2). Let c = a - -90. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (5\/4)\/5 + (-2488)\/(-32)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6041037 is divided by 2225?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15181 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 17 = -p, -12 = 4*h - 2*p + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 = 2*m + 4*d, 5*m = 2*m - 5*d + 1604. Let i = 352 - m. What is i rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7*5\/(-70)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 5*i - 255 = 2*n, 2*i - 212 = -4*n. Let h = -163\/3 + n. Let 8\/3*w + 2\/3 + h*w**4 + 4*w**2 + 8\/3*w**3 = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329882401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 209171, 210247, 211323, 212399, 213475, 214551?\n\"Answer: 1076*s + 208095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Suppose -1 = -3*c - 4*w, 34 + 2 = j*c - 3*w. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58231184 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, q: 4, m: 3, o: 2}. Give prob of picking 1 z and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1418)\/(-10) - (24\/20)\/(-6). Let a be (p\/10 + 1)\/(7\/70). Suppose -b + 3*d = -28, -5*d + 4 = b - 0*b. What is the greatest common divisor of a and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 155 = -0*i. Let u = -15 + i. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 32. Let t be j(9). Suppose -3*c + 76 - t = 5*n, -3*n = -5*c - 12. Is n not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107798 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 + 14*p**2 - 10*p**2 + 58*p**2.\nAnswer: 78*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 165?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832496.\nAnswer: 2, 23, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ccdcdcccccdcdddccc.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-88)\/154)\/(3\/(-42)). What is the greatest common factor of z and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-10 - (5 + -6) - -12 - -8 - 4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 5. What is y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 + r**5 + 61*r**4\/24 - 1815*r**2. Factor p(u).\nAnswer: -u*(u - 61)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -211\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28338.\nAnswer: 2, 3, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4728 and 10441?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27287 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 12104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-28))\/((-4)\/28). Let p be 21\/(-27) - (-2)\/(-9). Let q = 11 - p. What is the highest common factor of w and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -386 + 191 + 192. Let i(w) = -8*w - 12*w - 10*w + 31*w + 4. Give -4*i(f) - 5*s(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6382 and 0.012.\nAnswer: -76.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30676 + 30676.0029728. What is a rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 7*d - 2. What is n(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783095*x - 7*f + 174 = 783092*x, -x - f = -28 - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8 + 3*q + 1 - 2*q - 6. Let j be f(0). Suppose j*a = -0*a + v + 253, 172 = 2*a - 4*v. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 848\/20. Calculate the highest common factor of k and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*v + 65 = -272*v. Solve -g = q + 6, -3*g - v*q - 9 - 19 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152501\/25 + 6101. Find the common denominator of 83\/220 and f.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3357574*i - 47006038. What is y(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1242\/90*10*((-427)\/107 - -4). Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*2*9\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-32)\/((((k\/(((k*k*(k*k\/k**(1\/2))\/k)\/k)\/k))\/k)\/k)\/k)**(3\/4) assuming k is positive.\nAnswer: k**(271\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 17*g = -90. What is the second derivative of -2*d - 12*d**3 + 0*d**3 - g*d + 2*d wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-4))\/(-2)*-11. Suppose -m = 3*m + 516. Let i = -85 - m. What is the greatest common divisor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**3 + 8*k**2 + 12*k - 26. Let j be b(-8). What is j rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3483, -3486, -3489, -3492?\nAnswer: -3495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, -9, -78, -187, -348?\n\"Answer: -2*t**3 - 2*t**2 - 21*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 - 7*t**3 + 4*t**3 + 10*t**3.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*b + 83 - 53*b - 72*b)*(8*b + b + 4*b).\nAnswer: -26*b**2 + 1079*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21110 + 57*c**2 + 115*c**2 + 2*c - 21110 as i*c**2 + u + b*c and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/9 and 27\/1828.\nAnswer: 16452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 42. Let o = h + 42. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 9219?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t. Let f(n) = 30*n**2 - 8*n - 25. Let w(o) = -f(o) + 4*m(o). Differentiate w(i) with respect to i.\nAnswer: -52*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 520 = -7*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76 - 71) + (2 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 235, 486, 745, 1012, 1287, 1570?\n\"Answer: 4*l**2 + 239*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 174013 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3052\/(-104) - (-2 - -3). Let o = -61\/2 - s. Which is the nearest to 2? (a) 0.4 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (12 - -3 - 18) + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 102.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18930 is divided by 18926.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 23 + 2 - 19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.615 plus 8.409692?\nAnswer: -10.205308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136750652761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125834, 251655, 377472, 503285?\n\"Answer: -2*y**2 + 125827*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:14 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -34) + (123 + -102 - (-5 - -31)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235308 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/6720 + r**7\/630 - r**6\/360 + r**5\/120 - 7*r**4\/24 + 8*r**2. Let i(n) be the second derivative of m(n). Calculate i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 3*r**2 - 12*r - 1. Let d(l) = 27*l + 87*l**3 + 2 - 89*l**3 - 2*l**2 - 5*l**2 - 2*l + 7*l**3. Determine 3*d(q) + 7*k(q).\nAnswer: q**3 - 9*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 9*c - 80. Let d = 2387 - 1223. What is the greatest common divisor of c and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*k**2*r + 407194*b**3*k**2 + 2*b**3*k*r + 23*b**2*k*r - 342*b**2*r - 17*k**2*r - 537*k + 2 wrt k.\nAnswer: 2*b**3*r + 814388*b**3 - 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.5 and 0.2.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + d + 520, 3*d = -z - 2*z + 1542. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52586062981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and 40\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-29) + (-1)\/3)*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4499492 is divided by 39469?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (144*i + 21*i + 4 - 2)*((-2 + 0 + 0)*(3 - 1 - 3) - 1 + 2 + 0 + 0 + 1 - 2) + 3*i - i - 4*i to the form v*i + b and give v.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:11 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8676740, -8676741, -8676742, -8676743, -8676744, -8676745?\n\"Answer: -f - 8676739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-35) + 34\/21)\/(2340\/(-175500)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 69072525.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353394775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 29. What is the remainder when 69 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26881 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: Simplify ((q**(11\/3)\/q**(-4))\/(((q\/(q*q\/(q*q**19*q)*q))\/q)\/(q*q*q*q*q**(-6)*q*q)))**(-15) assuming q is positive.\nAnswer: q**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -132*-1\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3 = 4*z. Let m be 11\/2 - z\/(-6). Let a be 8\/(-16)*-12 - 5\/1. Solve -6 = m*k - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obwbyyyombmbwy. What is prob of picking 2 w and 1 o?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*g = 10, 0 = 10*o - 3*g - 13 + 59 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1800*s**2*v - 9543*s**2 + 327*s*v + 83860*s + 2*v wrt s?\nAnswer: 3600*v - 19086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 33 = 4*j, 17 = -j + w + 2*w. Let z(a) = a - 1. Let x(f) = 2. Let n(k) = 1. Let l(s) = 11*n(s) - 4*x(s). Let c(y) = j*l(y) - 3*z(y). What is c(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 334204 + -56?\nAnswer: 334115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**4*m)\/(m**4\/m))\/(m**3*m*(m\/(m\/(m**5\/m)))\/m)*(m**(1\/3)\/(m\/m**(-7)))\/(m**(1\/4)\/(m\/m**(1\/5))) assuming m is positive.\nAnswer: m**(-607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/7 - 12\/(-42). Put 2\/5, m, 4\/11 in decreasing order.\nAnswer: m, 2\/5, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/360 + (-6)\/8*32\/480?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4289534*z + 4460215?\nAnswer: -4289534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9391179 is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18592)\/(-280) - (-366)\/(-915)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -32. Let d be (5\/15)\/((-1)\/6) - -5. Solve -d = x - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 286, 1057, 2564, 5053, 8770?\n\"Answer: 41*v**3 - v**2 - 3*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) + 60\/(-16) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvvmssmsiimmm. What is prob of sequence si?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 28. Let a be d(2). Solve 4*i = 2*g + 20, 6*g + a = 3*i + g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 1. Let b(z) = -240*z - 90. Let m(c) = -b(c) - 150*l(c). Differentiate m(x) wrt x.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 0.3, -5, 5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 22*w = -30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127253 is divided by 1743?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -302*a**2. Let l(o) = 8*o. What is k(l(v))?\nAnswer: -19328*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l - 121. Let a be p(6). Solve -a = 10*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2438 - -2441. Sort 195, l, -2 in descending order.\nAnswer: 195, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 3, i: 2, b: 1, w: 9}. Give prob of picking 1 i and 1 w.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - n + 37 = 6*d, -2*d + 4 = -5*n. Suppose z + d + 8 = 0. Let u be (-297)\/z + 2\/10. What is the greatest common factor of 100 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8521840 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4048, -4050, -4062, -4090, -4140, -4218?\nAnswer: -4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50, 23, -6, -37, -70, -105, -142?\n\"Answer: -m**2 - 24*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.185711 months in centuries?\nAnswer: 0.0009880925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/(k\/k**(1\/2))))\/k*k)**(-3\/25)\/(k**(-1))**27 assuming k is positive.\nAnswer: k**(1341\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 1632.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5488 = -2*f - 845, 3*d + 5*f = 18999. List the prime factors of d.\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 - 22*w + 41. Calculate the remainder when 5 is divided by b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (458 + 214*q - 4*q**2 - 458 + 2*q**2)*(4 - 4*q - 4).\nAnswer: 8*q**3 - 856*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 14. Let c be z(-12). Suppose -c*d - 4 = -4*d. Factor -2*u + 1 + 8*u**4 + d*u**3 - 9*u**4 + 0.\nAnswer: -(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82175929.86 less than 91?\nAnswer: 82176020.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-5)\/1))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1999624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63859*i**2 + 22*i - 22*i - 63851*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let l(b) = -9163*b**2 - 5*b + 5. Let c(g) = 11165113*g**2 + 6092*g - 6092. Let q(f) = -5*c(f) - 6092*l(f). Determine x(q(y)).\nAnswer: -20875761*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*s + 33 = 0, -10*s = 4*i - 5*s + 9. Let j(w) = w + 1. Calculate j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 318*f**2*g**2 + 4*f**2*g + 5*f**2 + 2080*f - 10*g**2 - 2 wrt g?\nAnswer: 636*f**2*g + 4*f**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2, 2*w - 2*v = -2051 + 22831. What is the greatest common divisor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (18 + -38)) + -62?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 8 + 4844\/(-168) - (-4)\/1. Suppose -4*r + 12 = -g - 2*g, -5*g - 34 = -2*r. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17913825 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12024322003 (base 5) in base 16?\nAnswer: d41ebf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 590*j - 40000. Give d(68).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*y = -1, 4*l + 11*y - 13*y - 2 = 0. Let m be l\/2 - 51\/(-34). What is the nearest to m in -0.3, -0.5, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4804, 19346, 43600, 77566, 121244?\n\"Answer: 4856*r**2 - 26*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04925 + -0.0492500511. Round j to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -4*k + 698. Let n = 61 + k. Suppose 32 = -3*i + n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95 * 0.5.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-17 + 3 + 10 + -6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -51 and -0.045.\nAnswer: -51.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.1, -2256, -8, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:09 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*w**4 - 5 + (-2*w - 5 + 5)*(2*w**3 - 5*w**3 + 2*w**3) + 3*w**3 - 3*w**3 + 2*w**4 - 40335*w**3 - 7*w - 30*w**4 + 40335*w**3.\nAnswer: -24*w**4 - 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 + 149 = 256*c - 6102. Solve -15*v + 101 = c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12074 by -5.\nAnswer: -12074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133386 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 211285?\nAnswer: 211278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/24*(-10)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2))\/((((m*m*m**(-19\/2))\/m)\/m)\/m)*(m*m**9\/m)**(-43) assuming m is positive.\nAnswer: m**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 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: Two letters picked without replacement from {l: 3, g: 3, s: 1, n: 5, k: 8}. What is prob of sequence kk?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-335\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7, z: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -7*y**5\/20 + 6*y**2. Let u(g) = -6*g + 4*g - 3 + 3. What is u(a(f))?\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 6*g**2 - 4*g + 4. What are the prime factors of q(-5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:32 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20750 rounded to the nearest 100?\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2. Let r(v) = 14*v**2 + 84. Let i(b) = 84*m(b) - 2*r(b). Let z(o) = 4*o - 5. Let n(d) = 5*d - 6. Let t(p) = -5*n(p) + 6*z(p). Determine t(i(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2690 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10661, 0.1, -4, 4.744.\nAnswer: -4, 0.1, 4.744, 10661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -967673\/1062 + 8198\/9. What is the common denominator of -5\/12 and d?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (267\/(-370) - 6\/(-10))\/((-321)\/(-428))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17.5 (b) -40296 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3240385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*o**(-29\/3)*o))*o\/(o**(-2\/15)*o))**(-12))**0)**(-28) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 2384472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1250*t = 1255*t + 15, -3*t - 4 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -380*f + 49. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16167 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4010000 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 2008700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603018822 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 4, v: 3, p: 6}. Give prob of sequence ee.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9816847.\nAnswer: 9816847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2. Suppose -4*y - k + 6*k = 70, 4*k = 4*y + 72. Let d = y + 30. Let s be (-216)\/(-40) - 4\/d. Give h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 11*f**2 + 14*f + 5. Determine u(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -124, -1\/7, -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 5*z**2 + 3*z - 12. Let f be t(5). Let p = f - -47. Is p a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8975805 by 1795161.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*a - 4*u + 58, -5*a + 4*u + 74 = 0. Calculate the common denominator of a and 76\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 328f5?\nAnswer: -32911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*g + 2*g**3 - 3*g**2 - 167*g + 0*g**3 + 370*g + 0*g**3 to the form w + k*g**3 + p*g**2 + a*g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2387*i - 47730. Give o(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.976 + -0.064. Let k = -0.04 - y. Let m = -2.2 + k. Which is greater: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41, 78, 117, 158?\n\"Answer: y**2 + 34*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-180)\/(-2))\/((-159)\/(-106)). What is the greatest common factor of 72 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 2368 - 240. Is n greater than 1629\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3996 or 3954?\nAnswer: 3996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.4, -5, 1\/3, -6\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*c = -1443 + 917 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4096 and 11\/60784.\nAnswer: 15560704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-126)\/4)\/(-9))*6\/(11454\/161).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y**5\/8 + 1869*y**4\/2 - 520809*y**3\/8 + 114057*y**2\/2 + 14283*y\/2 = 0. What is y?\nAnswer: -1\/9, 0, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 1 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:07 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-28)*(-10 + 4). Let f = 9.1 + -5. Let h = 4 - f. Which is the closest to h? (a) 0.2 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-3*o**3 + 2*o**3 + 0*o**3)*(-3 + 3 + 3 - 2 - 2 + 3 + (-2 + 3 + 1)*(3 - 5 + 0) - 2 - 2 + 3).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44965\/6 + 7473. Let z = -144839\/36 + 4023. What is the common denominator of z and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 7, s: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3\/3 + 1186*r**2\/3 + 189712*r\/3 + 4032800\/3 = 0.\nAnswer: -284, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/25315747 or 1?\nAnswer: 6\/25315747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 7*c**5\/60 - 93*c**2. Let o(w) = 2*w + 0*w - w. Determine o(f(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062 - 3*l + 2*l + 10098 + 8*l.\nAnswer: 7*l + 9036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -82.\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 45. Let j = 61 - k. What is the second derivative of -25*a - 4*a**3 - j*a**3 - 3*a + 10*a wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:22 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 3*g, -4*v + 3*g + 4 = -4. Let t be v\/((-2)\/(2 + -3)). Is (36\/1 - t) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169046 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999232 divided by -23616?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadatmaddsdmddttda. What is prob of sequence ma?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -110. Let x = 298 - u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -291*a + 607*a + 2*a**2 + 372*a.\nAnswer: 2*a*(a + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -95 + 131. Suppose -u*b + 2172 = -738. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314160591.\nAnswer: 3, 137, 764381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-26)*-1)\/((-1188)\/792)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 1040*h - 31800.\nAnswer: 2*(h - 30)*(h + 1590)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 4. Let s be j(-4). Let t be 1 + -2 - s\/(-3). Which is the second smallest value? (a) 0.2 (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3972 and 2472901.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*2 + sqrt(95)\/sqrt(5) + 2.\nAnswer: 2 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3.26\nAnswer: 9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 25\/2 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + -0.06. Which is the closest to o? (a) 0 (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 2*v + 1 + 3*v**2 + 0*v**2. Let h be d(-2). Suppose h*o - 5*p = o + 47, 3 = 3*p. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -21 - 15. Suppose -x - 18 = -2*c, -3*x = -5*x + c - 21. Let w(b) = -11*b - 2. Let u(f) = 1 + 3*f - 2 - 3*f - 4*f. Determine v*w(r) + x*u(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from {q: 2, k: 5, u: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 1 m when three letters picked without replacement from {o: 2, e: 2, b: 3, g: 4, m: 2, a: 7}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 - (-1 - 7). Let t(p) = 5 + 1 + 6*p - 55*p**2 + 54*p**2 + 8 + 6*p. Does 9 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*h = -2507 + 527, -5*l = -3*h - 9893. Suppose -l = -3*x - r, 4*r - 6*r + 2 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87 + 1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*v = 47 - 34, -c - 2*v = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/9)\/30)\/((-2)\/2)*-22?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621008.\nAnswer: 2, 37, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 1caac?\nAnswer: -1caa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2288587, 4577168, 6865759, 9154360, 11442971, 13731592?\n\"Answer: 5*k**2 + 2288566*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 1374 = 5970. Calculate the highest common factor of f and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42030562*-0.1\nAnswer: 4203056.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.734 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 9*k + 16. What is the remainder when 15 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + a + 6, 2*a + 1 - 43 = 4*n. Is 99 - 3\/n*-6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**4 - 13 + 2*d + 4 - 2*d wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - -27. What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22402 - 22296. Calculate the remainder when 853 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + sqrt(10)\/(3*sqrt(2) + sqrt(2)).\nAnswer: -4 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 18. Let h(r) = 6*r. Calculate the smallest common multiple of h(3) and x(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1091 - 710. Suppose -5*n = 4*t - j, 4*n - 2*t - 312 = -7*t. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 9*p + 11. Let s be -4 + 9\/3 - -9. Let o be v(s). What are the prime factors of o*22\/(-18)*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:26 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 41*r - 2260508 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l - l - 3*l + (-2 + 3 + 1)*(-6 - 2*l + 6) in the form j*l + a and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/45*(-95)\/(-19).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1535 + 3182. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201122111020121 (base 3) to base 4.\nAnswer: 213311032231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8021*h = 8043*h - 198 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 148334*r\/3 - 98890.\nAnswer: (r - 2)*(r + 296670)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + a**2 + a**2 + (-4*a - 87 + 87)*(0*a + 2*a - 3*a)*(3 + 3 - 4) to the form r*a**2 + m*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.986 + 0.014. Let i = -20 + r. Put i, 3\/2, 2 in descending order.\nAnswer: 2, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -5*l, -3*b - 1 + 10 = -2*l. Suppose b*a = 5*a - 10. Let i(r) = -r + 7. Let h be i(a). Sort 1, h, 0.3.\nAnswer: 0.3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2052, 4110, 6166, 8220, 10272, 12322?\n\"Answer: -m**2 + 2061*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*((-437)\/19)\/138.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u. Suppose -3*s = 3*x - 3, -5*s + 4*x + 0*x = -50. Let q(d) = 0*d + s*d + 2*d - 5*d. Calculate q(o(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, -0.05 in decreasing order.\nAnswer: 0, -0.05, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 2. Let l(g) = 10*g**2 - g + 52 - 16 - 30. What is 2*l(o) - 7*p(o)?\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046631 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + y + 4 = 0, -4*z + 13*y - 24 - 15 + 25 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z - 6 - z - 2 - 2*z**2 + 12*z to the form t*z + a*z**2 + b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136002, 135282, 134562?\nAnswer: 133842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677 = 11*n + 709. Let d = n + 139. Solve d - 16 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + 1 + sqrt(7) - sqrt(84)\/(sqrt(12) - sqrt(300)))**2*-5 + ((sqrt(126) - sqrt(126)*-3)\/sqrt(2) - sqrt(63))\/sqrt(9) + -4.\nAnswer: -6059\/16 - 59*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 132?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 12*v**2 + 756*v - 4860 = 0. Calculate v.\nAnswer: -15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1909? (a) -3 (b) -1\/3 (c) -7.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 22*o - 266 - 123 = -503 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 62.909. Let s = f + 0.0913. Round s to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -636, -1445, -2382, -3447?\n\"Answer: -64*c**2 - 617*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbuubbebuuububuubbb. What is prob of picking 2 b and 2 u?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 12. Suppose 0*c - v*c = -3*u - 14, 11 = 3*c - 2*u. Let b be (-3)\/(-1*9\/12). Solve 0 = -c*h + b*d + 15, 5*h - 3*d + 4*d - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 285 = -5*i + 2*i, -5*i + 477 = -4*h. Let j(c) = -c**2 + 5196*c - 41501. What is the remainder when i is divided by j(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 49. Let g(m) = 3*m + 3. Let x be g(-10). Let i = o + x. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390 - 224. Let d = 385 - k. Let o = 218.99999809 - d. What is o rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(6\/(-4) - 0). Let y(f) = -f**2 + 1. Suppose 0*d - d = 1. Let q be y(d). What is the nearest to q in k, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -5, -27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918338, 918381, 918424, 918467?\nAnswer: 918510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + -1.4. What is the third biggest value in z, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73499?\nAnswer: 67, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 115289648\/38 - 12\/114. Let z = q - 5011229. Let t = z + 3437291. What is t rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v**4 - 38*v**4 - 41*v**4 + 146*v**4 + 18 - 30*v**4 - v + v**2 + 23*v**3 as q*v**4 + z*v**2 + d + r*v**3 + b*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615910264 divided by 6?\nAnswer: 807955132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254796 less than -7.45?\nAnswer: 1254788.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -0.56 (c) -1\/4 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 2 - 65)*(-4 + 4 + 3*p).\nAnswer: -453*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*h - 2009 + 8864 = -3529 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -33*g - 17. Let f(b) = 17*b + 9. Let x(n) = 11*f(n) + 6*z(n). Suppose -64*a - 24*a - 34*a - 488 = 0. Let k(o) = -5*o - 1. What is a*x(r) + 9*k(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 578343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4943757*g. Let i(k) = -2*k**2 + 27. Give w(i(p)).\nAnswer: 9887514*p**2 - 133481439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -1.1, -0.5, 39, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190405 and -127?\nAnswer: -24181435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18*(-264)\/(-8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 5*w = -3*l - 71, 3*w - 37 = -2*l. Let f be (1*219)\/(l - 11). Let q = -68 + f. Put -3, -6, q, -4 in ascending order.\nAnswer: -6, -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753786.4 tonnes in milligrams?\nAnswer: 753786400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12191513 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 603 - 578. Suppose -l = -5*j, -7*a - 4*j = -8*a + 887. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - r + r + 25*r**2 + 43*r**2.\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-3 + (2 - ((16 - 1) + -13)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/12 + 2*w**3\/3 - 1361*w**2. Let u(k) = -k - 1. Give -i(g) - 3*u(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/16 + 402\/8 is divided by (-30)\/(-10) + 8 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-52.97\nAnswer: -21.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**24)\/((p*p\/p**40*p)\/p))\/(p**26)**(-6\/17) assuming p is positive.\nAnswer: p**(411\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 6 - -15) + -17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -61*d - 386. What is x(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 + 7 - (-38 + 62) and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 6 = 2*t, 5*w - 15 = 5*t. Suppose -4 = -3*z + 2*z. What is the second biggest value in -5\/4, t, z?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373356 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:23 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45371493 = -63*n + 15236586. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i**3 - 31*i**3 - 32*i**3 - 36*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9694782.\nAnswer: 2, 3, 179533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llw when three letters picked without replacement from lwwbdbwdwlwdwbb?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002 + -1?\nAnswer: 21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**2 - j + 1. Let r be q(1). Suppose 0 = -18*x + 21*x - r. Find the second derivative of 2*f**4 - 12*f**x + f**4 - 2*f wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -28) + 6\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 10229.\nAnswer: 10229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 42 + 3*m + 288 - 405 - m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 5*c**2. Let a be q(5). Let r be 0\/2 + -2 + 2. Let k = a - r. Solve 4*d - 1 + 9 = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/18 and (-819735)\/202390 - (-5 + 1).\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 69. Let n = 37\/270 + -1\/27. What is the smallest value in n, 4, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260970, -260585, -260200, -259815?\n\"Answer: 385*f - 261355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9590 by -685.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 888*b. Let k(z) = 8*z**2 - 5*z. Calculate k(l(o)).\nAnswer: 6308352*o**2 - 4440*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x - 5. Calculate the least common multiple of 8 and f(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 90*a**2 - 75*a + 278. Is k(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -719.\nAnswer: -4\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-15))\/((-4)\/(-10)). Let c = -11 - -4. Let z = c + 2. Sort a, z, 5 in ascending order.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 - 4. Let g be y(3). Suppose 4*w - 34 - 10 = -4*n, 2*w + 5*n = 28. Sort w, -3, 3, g.\nAnswer: g, -3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*y + 3, 0 = 5*p - 5*y + 62 - 17. Let x be (4\/p)\/((-2)\/6). What is the third derivative of -101 + 35*c**x + 47 + 54 + 10*c**5 wrt c?\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w - 16. Let l be p(-4). Suppose 8*q + l = -28. Which is the closest to 0? (a) -3\/5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 19*q**2 - 21*q - 815. Let c be a(-20). Solve -2\/5*z**4 - 2\/5*z**c + 2\/5*z**3 + 0 + 0*z + 2\/5*z**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*j*r**3 - 5*j*r**2*x + 3*j*r*x**2 + 2*j*r*x + 2*j*x**2 + 732*r**3*x**2 + r**3*x + x wrt x?\nAnswer: 6*j*r + 4*j + 1464*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/14203 in 4\/9, 0.2, 10\/11, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, 4*z - 18 = z - 2*n. Suppose 0 = -56*g + 61*g - 25. Is g greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 10905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**2 - 179. Let l(h) be the third derivative of h**5\/15 + h**2. Determine a(l(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 0)\/12 - -5543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 51. Let i = -28.973 - k. What is i rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - 4*i**2)*(6 + 2 + 1) - 3*i**2 + i**2 + 4*i**2 + (-i - 3 + 3)*(0*i + 0*i + i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1754\/7 + 34639\/140. Find the common denominator of o and -19\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45607 + -607. Let o(q) = -3*q + 3. Let p be o(4). Let t be (24\/p)\/(2\/i). Round t to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**4 - 1462*i**3 + 3*i**2 + 11*i - 4383 wrt i?\nAnswer: -4*i**3 - 4386*i**2 + 6*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29831, -29823, -29811, -29795, -29775, -29751?\nAnswer: -29723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760 by 152.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9749.\nAnswer: 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 4}. What is prob of picking 2 l and 2 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 24. Let a be 12\/b*8\/3. Suppose -8*h = -4*h - 2*v - 350, a*v + 442 = 5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a78733 + 3?\nAnswer: 1a78736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -8, 68, 188, 364, 608, 932?\nAnswer: 1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -1 + 9. Suppose -5*w + 5 = 4*j, -w + 5 = -t*w - 4*j. Suppose 0*x - w*x + 13 = 2*g, 4*g - 38 = 2*x. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -16 (b) -5 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 6*u**2 - 2*u**2 in the form y + q*u + t*u**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 + 8650\/100)*(-250)\/(-7)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 8*j**2 - 7*j. Let a be m(-7). Suppose -2*t - 2*t + 10 = g, a = -3*g - 2*t + 10. Suppose -8 = -g*r + r. Solve -r = 5*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*s + 2*m - 7*m, -2*s = 4*m + 32. Let l = -6 - s. Suppose -k - 7 = -2*p, -4*p + l = -p - 3*k. Solve -p*j = 4*b - 37, 5*b - 23 = -8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 967, -85, 31, 2 in decreasing order.\nAnswer: 967, 31, 4, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -17. Suppose 5 = -3*y - 0*y + 5*u, -5*u = -b*y. Suppose -4*o + 41 = n, -o + 6*o - y = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k + 57. Let o be x(-13). Suppose -61 + 145 = 2*z + 4*m, -2*m - o = -4*z. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 3. Give n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 267 = 381. Suppose 3*o + 4*l - 50 = 0, -5*o + l + 145 = 54. What is the highest common factor of n and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12195272 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57007384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - p**2 + 1 - 2*p**2 + p - p + (-p + 5*p - 3*p)*(p - 6*p + 4*p) - 4*p + 83*p**2 - 57*p**2 + p + (-2*p**2 + 0*p**2 - p**2)*(-2 + 5 - 4).\nAnswer: 25*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 8)*4\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c*i**3 - c*i**2 + 20*c - 4*i**3 - 3*i**2 wrt i?\nAnswer: -72*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, p: 5, h: 3, d: 5, z: 1, i: 2}. Give prob of picking 1 h, 1 d, and 2 i.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 4, n: 3, h: 2}. Give prob of picking 2 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23245*u**2 + 253 - 253.\nAnswer: -23245*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 - 1789*l**2\/3 - 494306*l - 119290260.\nAnswer: -(l + 534)**2*(l + 2510)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6804040056*y - 7*y**2 - 6804040056*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*n**2 + n - 2*n - n.\nAnswer: -127*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (486\/(-4))\/(7\/140). Round r to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570878 and 6066.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -94 - 3*b**3 - 91 - 7*b + 183 + 34*b**2 - 41*b**2 + 0*b**3. Let f(h) = -h**3 - 3*h**2 - 3*h - 1. Determine -14*f(w) + 6*n(w).\nAnswer: -4*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-69*j**2 + 69*j**2 + 118*j**3)*(-2*j**2 - j**2 + 5*j**2).\nAnswer: 236*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22534 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.96 - -41.960013056. Round g to 7 dps.\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.44.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 3*d - 6. Let r be (-20)\/15 + (-4)\/6. Let o be r + 4 - -3 - 0. Let q(p) = p**2 - p - 1. Let n be (-21)\/(-14)*1*4\/(-6). Give n*m(a) + o*q(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (13 - 43) - (3 + 35).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53723, 53747, 53783, 53837, 53915, 54023, 54167?\nAnswer: 54353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.2, -2\/1393, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.9 - 24.9. Let q = -0.81 + -3.19. What is the third smallest value in y, 29, q?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 5 + 42*k**3)*(-2*k + 2*k + 5*k**2).\nAnswer: 210*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -12, -2.\nAnswer: -12, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573373 is divided by 652?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 6*x = -2*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46488 - 185966 + 46495 + 46490 + 2*f + 46493.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1\/2, -674.21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2054 and 917506?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose c - 10 = -i, 0*i + 2 = -c + k*i. Let m be (0 + -1)*c\/27. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112045042 + -103?\nAnswer: -112045145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -233.13, -144 in increasing order.\nAnswer: -233.13, -144, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57974 = 290*u + 63194 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**5*f*f)\/f)\/(f\/(f\/(f*f**(1\/7)*f))))\/(f**6\/(f*f\/(f*f**(1\/7)*f)*f*f)))**(-4\/5) assuming f is positive.\nAnswer: f**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 2. Let p be s(0). What are the prime factors of p - 2 - (-11 + 1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 2*z**3 + 0*z - 5*z**2 - z as s*z**3 + n*z + j*z**2 + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*p + 1872 = 35*p + 93*p. Let n = -4 - -6. Which is the closest to 4? (a) p (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 37 - 3 = 0. Let r(g) = 11*g + 6. Suppose 15*i = -7*i + 132. Let u(x) = 2*x + 1. Determine d*u(z) + i*r(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 26*o - 55. Calculate the lowest common multiple of g(4) and 532.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6556 + -6529. Solve 22*z - j*z = 15, 4*z = -5*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-2)\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*k - 312*k - 40586 = 5923 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303060629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 1) + 97 + 23. Suppose -5*v - h = -n, 0 = -v - 3 + 4. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193 divided by -193\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(-144840)\/5112?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316153 (base 10) in base 14?\nAnswer: 26390d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1103?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28449, 27838, 26165, 22896, 17497, 9434, -1827, -16820?\nAnswer: -36079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -738108 divided by 8787\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = -5. Let p be v - 1\/(1\/60). Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73520161 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, 6, 10, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 - 175.62. Let g = 18 + q. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + 99\/12. Suppose -a = -5*u - 3. Let f = 23.38 + -23.58. Is f at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008449863 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31232131111 (base 4) in base 15?\nAnswer: -4b11ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 5. Let b(t) = -15*t - 14. Let l(k) = -2*b(k) + 7*u(k). Let s(y) = y - 7. What is 3*l(x) - 4*s(x)?\nAnswer: 2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -202221122 (base 3) to base 10\nAnswer: -15272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-4))\/(8\/32). Let q(u) = 2*u**2 + 14*u + 13. Let a be q(-6). What is the hundreds digit of (a\/1 - -6)*(m + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4 + 189*t + 16 + 10. What are the prime factors of z(2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5153.565 years?\nAnswer: 5.153565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:27 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6)\/((-2)\/10)*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17766648?\nAnswer: 2, 3, 83, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2871 + 5417. List the prime factors of j.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5832 + 1829 - 5007 = -53*d. Solve -10*j - 230 = -d for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y**2 - 11*y**2 - 4*y**5 + (1 - y**2 - 1)*(-3*y**3 + 15*y - 15*y) - y**5 - 2*y**3 + 2*y**3 + y**5 + y**5 - 4*y**5 + 2*y**3.\nAnswer: -4*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3 - 160*k**2 + 7*k + 2359 wrt k?\nAnswer: -3*k**2 - 320*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**2. Let v(q) = 2*q**2 - 5687*q - 25. What is v(z(u))?\nAnswer: 128*u**4 + 45496*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 169*o**2 + 3*o - 4. Let t be h(1). What is the greatest common factor of 147 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*u**2 - 6*u**2 + u**2 in the form m*u**2 + d*u + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*r - 7*r - 50 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 27*t - 7*t - t**2 - 13 - 2*t. Let z(l) = 3*l**3 - 2*l**2 - 2*l. Let a be z(2). List the prime factors of h(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 + 4 = 0. Suppose 5*t + 2*l = v*l + 14, 3 = 3*l. Suppose t - 9 = -2*n. Which is the second smallest value? (a) n (b) -1\/8 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*p - 14 = -0*v, -p - 10 = -88284*v + 88282*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/76 + 142\/(-6) and -37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqc when three letters picked without replacement from bwcqbqbbcqi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51386?\nAnswer: 2, 25693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1205*s**2 + s - 26. Let p(f) = f**3 - 4*f**2 + 1. Let r be p(-1). Let w be c(r). What is w rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 195 = 18*x. Solve -x*z + 0*l - 5*l = -10, -2*l = -4*z + 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/4 + 1\/2. Solve 1 = -2*d - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + n**2 + 2*n)*(-22*n**2 + 14*n - 14*n) + 3*n**4 - 3*n**4 - 3*n**4 + (n - 2*n**2 - n)*(1 - 1 + 2*n**2).\nAnswer: -29*n**4 + 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -31086661.\nAnswer: -31086630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5419 - 1855. Suppose 0 = 8*m + 10*m - q. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 3*j**4 + 77*j**4 - 4*j**2 - 11 + 14*j**2 - 12*j**2 + 10 to d*j**4 + i*j**2 + q + a*j + s*j**3 and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125\/372 - 8\/93. Let u be 0 + 0 + 6\/(-4). Let l = -4 + 8. Which is the second biggest value? (a) s (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146962637 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 4\/7 (b) 2 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6793 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 - 2*i**2 + 337. Let n(w) = 1205*w**2. What is f(n(h))?\nAnswer: 1205*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.288 and -11.843.\nAnswer: 252.113784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -219*p**6\/5 + 4*p**5\/5 - p**4\/24 - 11*p**3\/6 + 3978*p**2. What is the third derivative of c(d) wrt d?\nAnswer: -31536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*s + 210 = 69*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 5)*(3*p - 3*p + 3*p**4)*(-1 - 3*p + 1) + 0*p**5 + 5*p**5 - 2*p**5.\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a + 1. Determine v(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 20\/(-12))*(96\/39)\/16\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -3 + sqrt(684) + 2 + -1)**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and 73\/1015.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 1354285?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 - 221*j**3 + 221*j**3 + (2 - j - 2)*(j**2 + j**3 - 3*j**3 + j**2).\nAnswer: -3*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 - 3 - 5*r**2 + 10*r**2 to the form k*r + n*r**2 + m and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34576896 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 297456*a - 4758272.\nAnswer: -4*(a - 74348)*(a - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:41 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 1:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3651815 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 5, g: 8}. What is prob of sequence gggl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -2, -1.032, 22.47.\nAnswer: -32, -2, -1.032, 22.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + a - 69 = 0, -25*n = 29*n + a + 18*a - 21*a - 1834 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnddndnbdmn. Give prob of picking 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4 - 6*y - 1 - 4. Let u be g(-1). Solve -2*h - l + 2 - 5 = 0, h - u*l - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Suppose 4*m - 2 = -0*j - 2*j, -3*m - 18 = -5*j. Let f(w) be the second derivative of 0 + 0*w**2 + w + 1\/3*w**j. Determine f(s(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 3, -29, -87, -177, -305, -477, -699?\n\"Answer: -h**3 - 4*h**2 + 7*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7702, -15390, -23056, -30694, -38298?\nAnswer: -45862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*k + 216, -2*k - 8*x + 4*x = -144. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 73*d - 9. What is b(-5)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 - -897. Suppose 766 = 5*b - h. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/4 - i**3\/3 + 2*i - 11. Let k(u) = 16*u**3 - 84*u**2 + 4*u + 104. Let w(l) = 20*h(l) - k(l). Solve w(g) = 0 for g.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 482400 and 32160?\nAnswer: 482400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - i**2 - 28 - 28*i**3.\nAnswer: -28*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g = 85*g. Factor 2\/5*o**2 + 0 + g*o - 1\/5*o**3 - 1\/5*o**4.\nAnswer: -o**2*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 6*a - 372. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/66*(-253)\/(-46)*74\/(-4).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -9)*7\/2. Let n be 8 - ((2 - k) + 5)\/3. Solve -10 = -2*r - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*g - 3*s - 3, -2*g + 16 = -3*s. What is the second derivative of 3*b + 0*b**2 - b**2 + b**2 + g*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 4 - 46*g**3 - 3*g - 2 + 45*g**3 as i*g**2 + d*g**3 + l*g + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 39 = -4*n - 11, 16 = 4*d - 2*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5 - 9*p**2 + 9*p**2 - 5*p + 0 - 15*p**3 + 18*p**3. Let x(n) = -3*n**3 + 6*n + 6. What is -6*u(z) - 5*x(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 168 = -30*y. What is the remainder when 2\/(-8)*2*6 + y is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 14*j**2 + 12*j. Let a = 343 - 349. Let s be z(a). Which is greater: s or -2\/55?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/10*-7 - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 119*s - 2*s**3 - s**4 + 0*s**3 - 133*s to the form c + p*s**3 + q*s + m*s**2 + o*s**4 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (1*1*(sqrt(931) + -1)*-2*3)**2.\nAnswer: -504*sqrt(19) + 33559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 13377*o + 53524.\nAnswer: -(o - 4)*(o + 13381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 16. Let l be w(0). Let v = 17 - l. Let f be 77\/84 - (-3)\/(-4). Is f < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10870.965 - -10873. Round a to two dps.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 47?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = 5, g - 1933 = 3*z. List the prime factors of g.\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from hyyylhhyyhy.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222 (base 8) in base 10?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4921 - -4920. Let z be 7\/3 - (-2)\/(-6). Let p = -7 + z. Sort c, -9, p in descending order.\nAnswer: c, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.8201l to millilitres.\nAnswer: 918820.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.2\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*z - 50, 0 = -s + z + 30 + 40. Suppose -77*c + 2 = -s*c. List the prime factors of 0 + (c*16)\/((-6)\/(-66)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 5) in base 16?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307268901*l**3 - 9675*l**2 - 6*l - 194 wrt l.\nAnswer: -1843613406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2666, 5330, 7994?\n\"Answer: 2664*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9908539 nanometers in centimeters?\nAnswer: 0.00000009908539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 24*l - 6. Is (-20)\/6*l\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + 12*o**3 - 5*o**2 - 15*o**3 - 57 - 6*o**2 with respect to o.\nAnswer: -9*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5256 + 5259. Let i(n) = n - 2. Let r(a) = -a + 1. Let b(k) = 3*i(k) + 2*r(k). Determine b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from {z: 6, h: 1, a: 4}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (19 - 9) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 12 + (-28 - -25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/60 + v**4\/6 - v**3\/2 - 2*v**2. Let w be g(-5). Differentiate -2 + 0*u**w - u**2 - u**2 with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.85 to the nearest integer.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23139297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26604552?\nAnswer: 2, 3, 13, 71, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -120281\nAnswer: 2\/120281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:19 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 184855303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/113 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22029907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -118*t - 50. Is y(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 225 = -47*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qelllqffqlf. Give prob of sequence lle.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -76154 and -75799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 6517433.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 78209 - 2.3\nAnswer: 78206.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 22008*k**2 + 49040520*k + 66060897536.\nAnswer: 2*(k - 5966)**2*(k + 928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in 2\/11, 3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 6*t**2 + 15*t + 3. Let u(p) = p**2 - p - 6*p - 10 + 3*p - 2*p**2. Let d be u(-4). Is y(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523070.\nAnswer: 2, 5, 19, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -67*m**2 - 935*m + 42. What is d(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 12. Let u(f) = 70*f**2 + 170. Let b(o) = -85*p(o) + 6*u(o). Let n(g) = 7*g + 0*g + 5*g. What is b(n(r))?\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 79 = 31. Let v be 2\/((5 - d)\/1). Solve -2*o - 4*x = 2, -5*o - 3 - v = 3*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 16*n**3 + 23 - 13.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 364801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3\/2*c**2 - 6*c.\nAnswer: -3*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/3)*j*j**(2\/67)*j)**(1\/19) assuming j is positive.\nAnswer: j**(877\/3819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*m - 139, -141 = 5*m - 3*u + 2*u. Suppose 0 = 3*v + 2*v + 315. Let b be (-18)\/v + 1\/m. What is the smallest value in -1\/6, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -790 + -17?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 11*g. Calculate m(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vffffffvvaaffffv. What is prob of picking 2 f and 1 v?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geh when three letters picked without replacement from {e: 4, g: 2, h: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -89\/1016578?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/3*(-2108)\/(-1581)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30.22. Let q = o + 0.42. What is the third biggest value in q, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6611 and 28247?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 5818 = -4*h, 5*h = 3*f - 3483. Suppose -3*a + f + 367 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 - 46.5. Let q = u + 41. What is the nearest to -3 in 2\/7, 0.05, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 370*r**2 - 3270*r - 571. Calculate g(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 11. Let r(s) = -s - 2. Let m(d) = 2*h(d) - 11*r(d). Suppose -3*o = -g + 37, 2*g - 50 + 0 = 4*o. Let p be o\/18*63\/6. Calculate m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + v - 3. Let m(t) = t**2 - t - 1. Calculate 2*m(g) + 2*o(g).\nAnswer: -2*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -29. Let f = l - 14. Let i = -23.999916 + f. Round i to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1992)\/2988)\/(2\/93).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 334, 754, 1342, 2098, 3022?\nAnswer: 4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 - 2881*g - 40117. What is t(-14)?\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 3*v)*(3*v**2 - v**2 - 5*v**2)*(3*v + 0 + 0).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, x: 2, a: 1, u: 2}. Give prob of sequence raxu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 - 3. Let s be c(-4). Let r(j) = j + 0*j + 0*j + 8. Let v(n) = -4385*n - 2 + 13140*n + 6 - 4378*n - 4378*n - 5. What is s*v(z) - r(z)?\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.6 in -3, -0.2, 5322, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 12*g + 17. Let f(a) = -17*a - a**2 + 20 + 4 - 2. List the prime factors of f(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(0 + 1)*306\/(-3). Solve 0 = l*t - 126*t - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -q + 9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 + 96*j + 20. Let a be c(16). Calculate the greatest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/7, 3.8, 1\/10, 6, -14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851 is divided by 164.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b + 3*b**2 - 5*b + 13 - 3*b**2 - b**2. Let m be k(-11). Let w be (-2)\/(-12) - (-44)\/m. Solve -2 = 2*o - 2*y + 6, w*y = -2*o - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 8451.\nAnswer: -5\/2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*23\/(-92)*-80.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/w**(1\/9))*w*w*w**(2\/13))\/(w**2*(w*w\/w**(-1\/7)*w*w*w)\/w))**(1\/17) assuming w is positive.\nAnswer: w**(-3176\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-309)\/2781)\/((-1)\/(-297)*6).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3328*v = -1658*v - 1667*v + 3*d - 33, 2*v - 4*d = -14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/4)\/g)**31 assuming g is positive.\nAnswer: g**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 6, c: 11}. Give prob of picking 2 f and 1 c.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -561 - -463. Suppose 0 = -28*q + 29*q + 2. Is q less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/7*j - 108\/7 + 36\/7*j**2 - 3\/7*j**3.\nAnswer: -3*(j - 9)*(j - 4)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 23 (b) 2\/5 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 15\/2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 37*n + 57. What is q(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/(((-660)\/45)\/(-22)). Solve 2*j + l*b = -16, 4 = -3*j + b - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*g - 1. What is the smallest common multiple of 115 and g?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let v(w) = -3*w + w - 2*w + 0*w. What is x(v(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 34\/6)\/((-25)\/900). Let j be -3 + 24\/7 + (-44)\/n. Determine l so that j*l - 1\/3*l**2 + 1\/6*l**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(5) + 1).\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2\/(-9) - 75\/(-27). Factor 18 - a**3 + 14*a**2 + 2*a**3 - 3*a**s + 0*a**3 - 30*a.\nAnswer: -2*(a - 3)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 106\/102 - 1 - 664\/47476*-143?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52, 415, 1412, 3361, 6580?\n\"Answer: 53*k**3 - k**2 - 5*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + 95\/(-40)*-4. Let l(c) = c**2 + 8*c - 7. What is the units digit of l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 - 7 = 4*d, d - 5*u = 25. Factor 0*k - k**3 - 1\/3*k**5 + d - k**4 - 1\/3*k**2.\nAnswer: -k**2*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111522884 divided by -1123\nAnswer: 99308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -116\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -27*k. Let x(t) = -93593*t. Give i(x(j)).\nAnswer: 2527011*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1\/6*y**4 + 3*y - 3\/2*y**2 + 0*y**3 + 0. Differentiate g(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/3 - 85*o**2\/3 - 50*o.\nAnswer: -5*o*(o + 2)*(o + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 29, 10, 4, -9, -4 in descending order.\nAnswer: 29, 10, 4, 2, -0.5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2220 + -2210. Calculate the remainder when 577 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-558)\/(-465))\/(9\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 269667, 269681, 269707, 269751, 269819, 269917?\n\"Answer: r**3 + 7*r + 269659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(27) + sqrt(48)*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:58 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2656\/(-12))\/((-6)\/9). Suppose -p = -5*x - 2*c, -5*x = -2*x - 2*c - 196. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 13\/2. Calculate the common denominator of 75\/2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.996866 rounded to two decimal places?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87343?\nAnswer: 19, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 + 94a?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62.7492 + -0.7492. What is the biggest value in j, 0, 15\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/183 or -1145487?\nAnswer: -1145487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*v - 55, -2*v - 59 = -4*s - 5. What is the remainder when 61 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25\/26387 - -105373\/184709. Let -60\/7*c + 0 + 60\/7*c**3 - q*c**2 + 4\/7*c**4 = 0. What is c?\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 1. Let b be -3 - 4\/h*6. Solve -w - 3*q = -12, -b*q - 3 + 15 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 557130 and 1452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3 = -7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyd when three letters picked without replacement from yyddddyd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 57. Let c be p(-15). Calculate the greatest common factor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 141 = 57. Solve 5*m = q - 19, -m + 9 = q + j*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.6, 0.5, -1\/3 in decreasing order.\nAnswer: 4.6, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770 = 179*u + 175*u. Suppose v - 30 = -4*v. Solve v*i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8\/5))\/(i**(-10)*i)*(i*((i\/i**(1\/6))\/i)\/i)**(-8) assuming i is positive.\nAnswer: i**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17802, -17787, -17772, -17757, -17742?\n\"Answer: 15*m - 17817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -7015147?\nAnswer: -7015147.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18*i + 144. Let d be z(8). Let h = 2\/125 + -288\/2375. Is d at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -4) + (-13)\/(-8). Let m = 6 + -5. What is the smallest value in -0.2, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.5. Suppose -4*a + 5 = -o, 0*a + a = -2*o - 10. Let x = 1.963 - 1.563. What is the closest to -4 in o, x, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 - 91 + 94 = -20*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14237 - 4188 - 4249 - 4016 - 2*p as f*p + y and give y.\nAnswer: 1784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + (-352)\/(-55) + -1. Suppose 90 = 4*l + r*l. Suppose 5*o - z = -l + 35, 0 = 4*z. Solve o*p + 4 + 9 = v, 2*p + 4*v + 14 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 8 - 50. Let v = -29 + a. Suppose v = -w - 4*f + 20, 0*f = w + f - 26. What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -61*h + 424. Let a be i(7). What is the second biggest value in a, -2, -2\/7, 10, -10.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 3 + 10 + 5*j**3 + 2*j**3 wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -416\/989 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 140382977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 4031\/6 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094138281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/108)\/((-28)\/(-112))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + (-6*(-3*sqrt(980) + sqrt(980) + sqrt(980)))**2 + -2)*2*-1*1.\nAnswer: -70556 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 21. Let h = r - 3. Suppose -2*d + 0*t = h*t + 12, 0 = 2*d + 5*t + 17. Solve 3 = d*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4433 + 4417 = 4*k, 5*k + 26 = 2*f. Let w = 45\/2 - 10. Let d = w + -12. Which is the third biggest value? (a) -2\/17 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/(-10))\/((-1)\/5). Suppose -5*c = -6*h + 5*h + 2, 3*h + 5*c = 26. What is the greatest common divisor of z and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9346988*n*x**3 - 36*n*x**2 - n*x - 3*n + 4*x**2 - 482 wrt x.\nAnswer: 56081928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - -0.21. Let p = 0.8 + -0.3. What is the second smallest value in -0.3, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 1306952*k\/3 - 33105600.\nAnswer: -2*(k - 653400)*(k - 76)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200204325131 - -1?\nAnswer: 200204325132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -103, -210, -351, -520, -711, -918?\n\"Answer: c**3 - 23*c**2 - 45*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 453250 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.948 - -1.948. What is the smallest value in -1\/7, w, -1, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5552 (base 10) in base 12?\nAnswer: -3268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220679 + 218649 = -58*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0 = a + 3, 1205*a - 12 = 1209*a + 5*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 3*l, -146 + 31 = -3*q - 20*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i - 2*i. Let h(u) = 11 - u + u**2 + 1 + i*u - 1. Calculate the remainder when 20 is divided by h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 + 260*r**3\/3 + 621*r**2 + 534*r.\nAnswer: -r*(r - 267)*(r + 1)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*h**3 + (5*h**2 - 3*h**2 - h**2)*(4*h - 2*h - h))*((-h**2 - h + h)*(0 - 2 + 3) - 5*h**2 + 3*h**2 + 0*h**2).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 + a**2 - 1. Let z be n(-1). Let b(l) be the second derivative of l**4\/12 - l**3\/2 + l**2\/2 - 8*l. List the prime factors of b(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 1. Let d be n(-1). Suppose -3*h - d*h = -90. Factor -2*k + 9*k**4 + 4 + h*k**2 + 5 + 28*k**2 + 48*k**3 - 46*k.\nAnswer: (k + 3)**2*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 20*r + 11. What is f(-19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q. Suppose -3*y - 5*d + 12 = -8, 5*y = 5*d + 20. Solve -y = k - q*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13) + 4 - sqrt(117)*1)**2 - (sqrt(13) + sqrt(143)\/sqrt(11) + 5)*-2.\nAnswer: -4*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 18)*(-1)\/(-2). Let g = -69 - -65. Let o be ((-12)\/(-10))\/((-12)\/80*g). Solve 4*p - o = -u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 507 (b) -0.04 (c) 0.4 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1 (c) 90\/29 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*o - 404*o + k = -541, -3*k = 4*o - 521. What is the remainder when 673 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 12*z**2 - 1\/2*z**4 + 4*z**3 + 16*z.\nAnswer: -(z - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/(-87)*(-2697)\/4. Calculate the highest common factor of p and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1553 + 1558. Sort -270, p, 1 in ascending order.\nAnswer: -270, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488\/5 + 97. Let f be -31 - (-1)\/(-3)*3. Let w = 37 + f. Which is the second biggest value? (a) 2\/9 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, k: 5, w: 5}. What is prob of sequence wg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-6)\/(-1))\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13 + 5*f + 0*f**2 - 4 - f**2 + 6*f. Let k be o(8). What are the prime factors of 1\/(((-6)\/k)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, x: 1, e: 6, d: 1, s: 2}. Give prob of picking 1 e and 1 c.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/13 and 30\/91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/9 - -10)\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25e (base 15) in base 11?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -1)\/(-1 + 0). Let t be 7 + (-2)\/(s\/25). Suppose 3*h - 721 = t*q, 964 = 4*h + q - 5*q. List the prime factors of h.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3276 and 73\/4.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.7 + -53. What is the closest to -1\/4 in 4\/9, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2*j + 6*j - 5*j) + 5*j + 0*j - 4*j + 34*j + 84*j - 79*j + (0 + 1 + 1)*(j - 3*j + 0*j) to the form o + u*j and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*w + 8, -69*q = -70*q + 3*w - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3776*o = 3772*o + 22, -4*b + 23 = 5*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -39. Suppose -5*x - a = -44. Solve -3*b - x = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 12*k - 25. Give f(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 0.016. Let o = -0.046 + z. Is o < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52531 - 52343. Let g = 114 + -59. Calculate the remainder when r is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6192\/(-1548)*46\/8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*x - 7253 = 2*b, 0 = 4*b + x + 5801. Round b to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 1\/2*d**3 + 175\/2*d - 88*d**2 + 0 = 0.\nAnswer: 0, 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 105 + 15 = 0. Let b = 63 + k. Calculate the greatest common divisor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112992511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 101 = 28*y + 69. Sort 6, 82, y, 3.\nAnswer: 3, y, 6, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(2\/13)\/n)\/n*n*n*n**(1\/7))\/(n*(n*n*n**0)\/n*n)**41*(n\/((n**0*n)\/n*n))**(-3\/40)\/(((n\/((n\/n**(2\/9))\/n))\/n)\/n**(2\/5)) assuming n is positive.\nAnswer: n**(-493552\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 6*y - 1. Suppose 0 = 4*p - 9*p - 35. Let c be j(p). Let s = 12 + c. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.8 + 19.8. Let f be (-35)\/10*4\/(-7). Let q be -1 - 1 - (-1 + f). Sort q, d, 1.\nAnswer: d, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27180 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667359 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13968344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772786 and 171136?\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 906 - 906. Which is the closest to 1? (a) 219.8 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 214*s + 9838. Give k(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 982*c**2 + 2422 - 2141 + 3586 wrt c?\nAnswer: 1964*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 0.5, -892, 5.\nAnswer: -892, -3, 2\/7, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0490709363 to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.1 - 10. Let i = 26 - 30. What is the nearest to n in i, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 5*y + 4 - 4*y. Let w(k) = 7*k + 4. Let a be w(2). Let o = a - 13. Calculate d(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4317542 - -7882458. What is k rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 26*x**2 + 6*x + 19. Let c be g(1). Solve -s + 8 - 4 = c, t = 3*s - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t**2 + 825*t + 207. What is d(75)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2)\/1 + 1). Suppose 2*c + 6 = 0, 5*c + 2 + p = -3*q. Solve q*l - 5 - 11 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/6 + r**3\/2 - r**2\/2 + 4*r. What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5100 = -0*l. Round l to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, 1 m, and 1 b when four letters picked without replacement from {q: 1, m: 1, g: 1, b: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98653 divided by -6?\nAnswer: -98653\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*o - 4*g, 2*o = -3*o - g - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133422032333 + 4?\nAnswer: -133422032324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = c - 3, -5*c + n - 3 = -2*n. Let z(y) = y**2 - 2*y + 4. Let x(q) = 15*q + 1. Calculate the smallest common multiple of x(1) and z(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-10)\/3)*6. Let i(g) be the second derivative of -8*g**3\/3 - g**2\/2 + g. What are the prime factors of i(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -700761093*h*t**3 + 138*h*t**2 - 97119*h + t**2 wrt t?\nAnswer: -4204566558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:16 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, o: 2, i: 2, q: 1, k: 4, n: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 64\/(-36) - (-188)\/36. Suppose -b*a = -529 - 461. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5269 + 42225\/8. Let p = 2611 - 52273\/20. Calculate the common denominator of p and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.118 plus -1?\nAnswer: -0.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-306)\/(-36))\/((-2)\/76) - -8. Sort 3, 1, k.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -20, 19, 94, 217, 400, 655?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 762555 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: What are the prime factors of 256098?\nAnswer: 2, 3, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p**3 + 7*p**2 - 2*p - 4. Let j be y(5). Is 2\/(-9) - j\/18 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazmbmrwmbmwwmzwzbb. What is prob of sequence mzra?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1191 times 136\nAnswer: -161976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-44)\/(-4) + -27 + (-87)\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393383 is divided by 969?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 3*y + 3. Let n be a(0). Solve -36 = -4*z + 5*w, -5*z - 4*w = -1 - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let a(t) = -4*t + 1. Let r(j) = 98*j - 35. Let g(q) = 35*a(q) + r(q). Give g(n(o)).\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/7)\/g*g)\/(g**(3\/8)*g))**(-4\/13)*g**0\/(g*g*g**(1\/3))*(g**(-1\/3))**10 assuming g is positive.\nAnswer: g**(-2935\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 144. Let y = q - 21. Suppose 104*v = 105*v - 60. Calculate the greatest common factor of v and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 7*r**3 - 5*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121819577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271917277*m**3 - 4767008*m - 17.\nAnswer: -1631503662*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813893, 1627747, 2441601, 3255455, 4069309, 4883163?\nAnswer: 5697017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - (-192)\/(-36) - 9)\/(2\/(-45)). Calculate the highest common divisor of p and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:04 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 1, x: 4, j: 1, q: 2}. What is prob of sequence xxv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 7*r = -275. Let q(n) = 16*n + 14. Let u be q(6). What is the highest common divisor of r and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Suppose -q = q + 58. Let f = -17 - q. Suppose 0 = -4*g + f, 2*z + 2*g + 2*g = 16. Calculate c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(-1 + -2 + sqrt(99))**2*4*2.\nAnswer: -2592*sqrt(11) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/(d*d**(-2\/5)))\/(d**(-2\/3))**43)\/((d\/(d\/(d**0*d*d))*d**(-4))\/(d**(-2)\/(d**(-6)*d))) assuming d is positive.\nAnswer: d**(421\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(((-6)\/(-10))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 8*p**2 - 26*p - 164. What is m(-10)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 (base 15) in base 16?\nAnswer: -728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*x = 225, 8*x - 3111 = 2*s + 4*x - 3283 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y**(-7)*y**3*y**6)\/((y\/(y*y*y**1)*y)\/(y**(1\/2)*y)*(((y*y\/(y*y**(-1)*y))\/y)\/y*y)\/(y*y**(-6))) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/8 + 93*m**3\/8 - 315*m**2\/4 = 0. Calculate m.\nAnswer: 0, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980 = 110*m - 14*m + 3*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -133, -218, -323, -454, -617, -818?\n\"Answer: -u**3 - u**2 - 61*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 108840 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 639.4 + -639. Which is the biggest value? (a) -3 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5158, -5161, -5166, -5173, -5182, -5193?\nAnswer: -5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 49 (c) 1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o + 1 - o**2 - 2*o**2 - o**2 - 5*o in the form v*o + l + m*o**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + ((sqrt(162)*-2*5 + sqrt(162))**2 - (1 + sqrt(162) + 1 - sqrt(162))**2) + -4 + (2*-2*sqrt(162) - sqrt(162)) + -3.\nAnswer: -45*sqrt(2) + 13103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, d: 6}. What is prob of sequence nnnn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/137, 92, 864 in descending order.\nAnswer: 864, 92, -8\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**4))\/j)**25)**(-7)*(j\/(j\/(j*j**(-1)*j)))**(-4\/11)*(j**(-2)\/j*j)**(-5\/11) assuming j is positive.\nAnswer: j**(9631\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 210 - 148 = -337 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 200*q - 345. Let m be b(47). Suppose -1883 = 4*i - m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145814549 - 0.03.\nAnswer: -145814549.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**3 - 3*w**3 + 4*w**3)*(-w + 5*w + w) + (1 + 2 - 2)*(2*w**4 + 9 - 9) to a*w**2 + f*w**3 + t*w + o + r*w**4 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 10*b + 66 = -3*b - 0*b + 7*l, -4*l + 12 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/130 and 33\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5 + 5861*x - 5860*x - 5. Let i be p(14). Solve -i*c + 3*u + 18 = -0, c + 4*u + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxbxpbppxxxpxppxxb. What is prob of picking 3 p?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39 - 2496748984.\nAnswer: -2496748983.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.238813 - -0.106472. Let l = -0.1329 - x. What is l rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrwrrrrrvrkkkvrrrw. What is prob of picking 2 r and 2 w?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -3844. Suppose -2*o + 7676 = -4*g + 2*o, -2*g - l = 4*o. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - g**2)*(g**2 + 13*g**2 + 29*g**2)*(2 + 4*g - 2).\nAnswer: -172*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 0*p + 0*p**2 - 4 - 1\/3*p**3. Suppose n(x) = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 21 = 49*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2467 and 0.2?\nAnswer: -493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 10 - 20)*(4*l**4 + 3*l**4 - 5*l**4).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/60 - 7*v**3\/3 - 12*v**2. What is the derivative of f(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060 divided by -620?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 5*n - 5. Let i(c) = -2*c**2 + 6*c + 6. Let f(g) = -5*i(g) - 6*p(g). Let o(h) = -8*h**2. Determine f(o(r)).\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*c + 4*c + 74, -3*v = 3*c + 39. Let l = v + 27. Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 25*w + 11*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t - 15. Let w(b) = b + 1. Let r(x) = x**3 - 10*x**2 + 20*x + 1. Let v be r(3). What is v*q(m) - 30*w(m)?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 18881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*sqrt(104)*-2 - sqrt(104))\/(sqrt(392)*-1))**2.\nAnswer: 16848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/7*(77\/33)\/(1\/(-6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p - 58. Let j be r(6). Let g be 3\/(5\/(125\/3)). Let f = g + -21. Sort j, 8, 5, f in descending order.\nAnswer: 8, 5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4769*c + 937*c + 960*c + 939*c + 926*c + 941*c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -414*b - 14692 + 1858 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5605 and 1180?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3548 = 2057. Find the second derivative of -13*o**4 - 18*o - 1121*o**3 + p*o**3 wrt o.\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235491.16 rounded to the nearest one thousand?\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + y - 15)*(-1 - 2 + 5)*(2 - 8 + 3*y - y) as g*y**2 + s + a*y and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(2736).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (16 + -7 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 - 270\/20)\/(2\/5860)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 2*x**2 - x - 4. Let m = 73 + 50. Let u = m - 126. Give b(u).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9929674 rounded to the nearest 10000?\nAnswer: 9930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-10) - (-30177)\/43110?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 65*b. Let n(v) be the first derivative of -11*v**2\/2 - 1798. Calculate y(n(m)).\nAnswer: -715*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/56 and -49\/4392.\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -40. Suppose -z = -4*z - 6, -q*x + 4*z = -23. Suppose 59 = 4*b - o - 4*o, -o - 79 = -x*b. Calculate the least common multiple of b and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43080.6 take away -18?\nAnswer: -43062.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8314, 21193, 42650, 72685, 111298, 158489?\nAnswer: 214258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 683055149*w**2 - 62041379*w - 4 wrt w?\nAnswer: 1366110298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880052 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -128, -199, -274, -353, -436?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {o: 1, q: 7, n: 2, d: 4, k: 2, j: 4}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3311 (base 4) to base 9\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/54 - (-1)\/(18\/32). Let b(l) = 10*l - 11*l + m*l. Let w(y) be the second derivative of 5*y**4\/12 + 2*y. Give w(b(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/5*((-40)\/12 + 3). Let s be -5*((32\/10)\/4 + 0). Put s, 17, c, 5 in decreasing order.\nAnswer: 17, 5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -343*q - q**2 + 667*q - 335*q - 10. Determine s(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -511.81 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to -3\/1489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(224)\/(sqrt(8) + sqrt(16)\/sqrt(2)))\/(sqrt(4) + -2*sqrt(324)).\nAnswer: -sqrt(7)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 8\/5, 0.4, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -3*c + 4. Let f(n) be the first derivative of -1\/2*n**2 + n + 2. Determine 2*f(s) + j(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + s - 5. Let n be k(5). Which is smaller: 1\/19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -12 - 0, -5*h - 5 = -2*r. Let k = 6 + r. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t + 130 = -110 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = -i, -3*i = -3*c + 4*c + 1. Suppose c*u = -5*o + 310, 3*o - 104 = -4*u + 85. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49\/4 of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10111 - 5476. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 3*l + 5*l)*(4*l + l + l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28859 (base 13) to base 5\nAnswer: -4413444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -3. Let i(d) = 3*d**2 - 3*d + 2. Let j be i(2). Suppose -32 = -3*z - j. What is the remainder when z is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 3*t - 0*t. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f)**(3\/8))**(29\/2)\/((((f\/f**(2\/7))\/f)\/(f*f*f**(-2\/3)*f))\/((f*(f*f**0*f*f)\/f)\/f)**(3\/5)) assuming f is positive.\nAnswer: f**(-8809\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/399)\/((-2)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8c4 (base 16) to base 8.\nAnswer: 144304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 110 - 39 = 5*c, 0 = 4*x + 2*c - 242. What are the prime factors of (x\/3)\/(2\/3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2\/21, -10\/9, 3 in descending order.\nAnswer: 27, 3, 2\/21, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/(-1))\/((-10)\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 94 (c) -3981 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/2288397 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/11)*f*f\/f**(-20)*(f*f\/(f\/(f**(6\/5)*f)))**(-6) assuming f is positive.\nAnswer: f**(149\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:31 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72475531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -81499000 to the nearest one million.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5542*m**3 + 6267*m**2?\nAnswer: -33252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/13 or 8\/7?\nAnswer: -89\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - (4 + -3)) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1050986 or 1051009?\nAnswer: 1050986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.684 - -10.7. Let f = 16.984 + y. What is the fourth smallest value in -4, f, 4\/3, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20222829*q**3 - 14310665*q**2?\nAnswer: 121336974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16730*o**3*q**6 + 2*o**3*q**2 - 8*o**3*q + 2*o - 77*q wrt q.\nAnswer: -2007600*o**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b + -88?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2 - 1 - 3 + 3. Let j(t) = -t - 7. Let k = -102 - -108. Suppose k = 2*g, -3*p + g - 8 = -2. What is p*j(b) - 5*v(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 33 + 39 - 111 + p + 36. Let j(q) = -1. Give 14*j(r) - 2*u(r).\nAnswer: -2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8222*(4\/7)\/(24\/63).\nAnswer: 3, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Let l(q) = q - 31. Determine a(l(t)).\nAnswer: 3*t - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let t be w + 4 + (-3 - 0). Solve -l = -t*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 46*c**3 + 36*c**2 - 319*c + 17. Let r(o) = 8*o**3 + 6*o**2 - 53*o + 3. Let m(n) = -6*p(n) + 34*r(n). Determine z so that m(z) = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-5\/2)*f))**(-23)\/((f*(f**(-2\/11)*f)\/f)\/f**(-5\/6)) assuming f is positive.\nAnswer: f**(-1952\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o**3 + 1415*o - 96186 wrt o.\nAnswer: 21*o**2 + 1415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -125 + 101. Let k = -0.5 - -0.3. Which is the biggest value? (a) 0.1 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 54 = 11*m. Let d(v) = 2*v. Let s be d(m). Let b = -18 - s. Which is greater: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = 5*t. Suppose -19 = -t*g + 66. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 29\/16462543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:09 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1647 + 1649. Let a(k) be the second derivative of 4\/3*k**f + 0*k**3 + 0 + 9*k - 1\/18*k**4. Let a(x) = 0. Calculate x.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*8\/(-4). Let u = 3 - r. What is the second derivative of u*s - 5*s**2 + s**3 + 5*s**2 wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*x + 72, -q + 3*q = 4*x - 3*x + 23 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 6\/(-7) + 80*5\/(-595). Find i such that -2\/17*i**2 - 6\/17 - p*i = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + ((-1596)\/72 - -18). What is the biggest value in 3\/2, -4\/7, i, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + w + 2 + 2, 2*w = -4*p - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2706 * 0.3084.\nAnswer: -834.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-2)*((10 - 3) + -245) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwqvwqvwqwwwmqqkqwg. Give prob of sequence qv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8213.013l?\nAnswer: 8213013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 35425080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88860 and 31101?\nAnswer: 622020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 2*b**2 + 6*b**4 - 18 - 7*b**3 + 0*b**4 + 32 - b**4 to the form y*b**2 + n*b**3 + p*b + o + r*b**4 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2)\/(-5) + 646\/4. Suppose i + w = 428. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 104513 and -6.267.\nAnswer: 104506.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -5*d**2 - 1\/3*d**4 - 17\/60*d**5 + 0*d + 0 + 0*d**3. Let h(o) = -6*o**2 - 3*o. Calculate 8*h(n) - 3*r(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-410)\/((-820)\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4204102 - -33690463\/8. Let s = g - 7197. What is the common denominator of -5\/2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 17 + 44 = 5*c, 20 = 2*q - 2*c. Suppose -3*x = -x - 14. Solve x*y = q*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-7)\/a))**(-10)*(a**26)**(-6\/11) assuming a is positive.\nAnswer: a**(-1256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - 152\/(-12). Let u = 15 - p. Let x be ((-21)\/(-9))\/(1\/u). Solve 4*a + z = -2 - 1, -x = 3*a - 4*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/72*-4*2\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/15 - 2*v**4 - 24*v**3 - 7*v**2. Factor w(o).\nAnswer: -4*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*z = 215, 0 = -2*z - z - 3. Let c = 49 + w. Suppose 4*q - 166 = c*y, -4*y = -4*q + 94 + 70. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:07 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -1. Let y = 4.89 + 0.11. Suppose 2*o + 13 = 7. Sort o, z, y in decreasing order.\nAnswer: y, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 2154 - 6*f + f.\nAnswer: -3*f - 2154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-2*m - 2*m + 2*m) - 2 - m + 2.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.468 - 0.068. Let d = -24 + 25.06. Let s = -0.06 + d. Which is the closest to s? (a) 1\/3 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.418 - -0.282. Let v = -15.7 + s. Put 80, -2\/3, -4, v in ascending order.\nAnswer: -4, v, -2\/3, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 + 1\/5*b**5 - 2*b**3 + 1\/6*b**4 + 255*b - 1\/30*b**6 - 9\/2*b**2. Determine m so that w(m) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144.1 - 144. Which is the nearest to p? (a) -1\/3 (b) -3 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27. Suppose 5*j + 1251 = 5*p + 3*j, k = -5*p + 3*j + 1249. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 5\/(-20) - 7\/(-4). Solve 0*w - i*w = -3*v - 1, 0 = -4*w + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 760844 and 7?\nAnswer: 760844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525207034.\nAnswer: 2, 11, 131, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10125\/2 - -5061. Let a = -79\/5 - -1649\/105. What is the second biggest value in 0.04, 0.1, d, a?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 50*m**3 + 10*m**2 - 8*m - 2. What is j(1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9606?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c**3\/3 - 9*c**2\/2 - 10*c. Let h be s(-3). Let z(v) = 0*v - 1 - 3*v + 1. Let k(m) = 20*m. Calculate h*k(o) + 21*z(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4923 - 4920. Solve -h = i - 0*i + 4*j, -2*i - 4*j = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/9 - 16*q**3\/27 + 2*q**2\/3 - 10. Factor i(p).\nAnswer: 4*p*(p - 3)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5\/2, -14 in descending order.\nAnswer: 1\/2, -5\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2*h - 5. Let z be t(-4). Let u = 41 - 33. Suppose 3 - u = f. Sort 5, z, f in descending order.\nAnswer: 5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60054436?\nAnswer: 2, 13, 1154893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1372610, -2744947, -4117284?\nAnswer: -5489621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -4*s + 14. Let j(q) = 2*q**2 + 10*q + 22. Let x be j(-9). Let t = s + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11936 is divided by 1190.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5*n = 5*m + 86867, -5*m + 5*n = -108585. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -131826 in 16, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.35? (a) -0.4 (b) -5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 0.5, -0.1, 0.3, 2\/35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -393, 2204, 7327, 15834?\nAnswer: 28583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 7*b**2 - 7*b - 4. Let d be x(-6). Suppose 4*u - 4*o + d*o = 14, 9 = -3*o. What is the smallest common multiple of 20 and (-1)\/((1 - 2)\/u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -235636, -235639, -235644, -235651, -235660, -235671, -235684?\n\"Answer: -o**2 - 235635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydyyyddyddd. What is prob of picking 2 y?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75638?\nAnswer: 2, 59, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002501 to six decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*v = 5*w - 3, -2 = 2*w + 4*v. Let u(c) = -1. Let b(l) = -2*l - 3. What is w*b(p) + 4*u(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v - 8. Let a be o(6). Suppose 0 = 5*b - 2*z - 2327, 2*z - a*z + 8 = 0. Let p = -333 + b. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 7*j**2 + 5*j - 1. Suppose -2*m + 8 = -5*b, 4*m + 3*b - 4*b + 20 = 0. Let o be z(m). Solve 14 = 3*f + g, -o*g + 4*g - 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3374 or -507?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8109\/2 + 4052. What is the nearest to -1\/2 in n, 1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/4 (c) -0.2 (d) -0.1 (e) -183\/16 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 0. Let i be (-1)\/(3 + s + -2). Let v be 3\/(9\/12) - 1. What is the third smallest value in 0, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476128 is divided by 273.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 259*p**3 + 15*p**2 - 16*p**2 + (-12*p - 7*p - 6*p)*(-3*p**2 + 2*p**2 + 3*p**2).\nAnswer: -309*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 9. Let t be r(-6). Suppose t*i = 4*i - 8. What is the remainder when 21 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0 (c) 1 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:43 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 1. Suppose -a*w + 150 = -4956. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7) + (1 - -5 - 4) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - m + 1. Let s(n) = 4*n + 185. Let u be s(-46). Let j(y) = 7*y**3 - y**2 - 8*y + 6. Determine u*j(k) - 6*t(k).\nAnswer: k**3 + 5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -23*a**2 + 0 + 1\/12*a**6 - 3\/8*a**4 + 0*a + 0*a**5 + 0*a**3. Find the second derivative of i(d) wrt d.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, y: 7, p: 1, x: 8}. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 27*z + 6. Let a be p(-1). Put a, 0, -2 in decreasing order.\nAnswer: 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 + -0.04. Let o be 2\/(-6) + 5\/(-3). Let n be (o\/3)\/(163\/(-15) - -11). Which is the biggest value? (a) -1 (b) 1\/2 (c) n (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94870200 and 3186480.\nAnswer: 2087144400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16274061 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/60 + 7*y**4\/24 + 4*y**2. Let r be h(-5). Let t be 45\/(-18)*8\/r. Solve -2*o + 2 = 0, -3*m = -t*o + 8 + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/80 - (-10)\/8. Let s be z*10015\/10 - 3. What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-2 - 4) - (-68 + 70)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2168, -4318, -6450, -8564, -10660?\nAnswer: -12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 15. Let t(q) = -66*q**2 + 2743*q. Determine m(t(w)).\nAnswer: 132*w**2 - 5486*w - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.2 from -146251656.\nAnswer: -146251645.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*t - 2*t - t**2) - 4*t**2 + 3*t**2 + 6*t**2 + (2 - 2 - 3*t)*(3 + t - 3) - 6*t**2 - t**2 + 6*t**2 + t**2 + 0*t**2 - 2*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 6*q**2 + q + 2. Let i(y) = y**3 + y**2 + 1. Let d(m) = -2*i(m) - k(m). Let c be d(-4). Solve c = -u - 3 - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4b0 (base 14) to base 6\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -320?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 1, u: 2, o: 1, t: 2}. What is prob of sequence ktcc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -39 - 18. Is g greater than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88b2 - 7b?\nAnswer: -8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15) + (-8 + 17784\/(-1690) - -19)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4146074 + 18*w - 4146074.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 2*x - 7*x - x**2. Let l(f) = 48*f**2. Give j(l(i)).\nAnswer: -2304*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44f012 (base 16) to base 12.\nAnswer: 161a642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(0*l**3 + 5*l**3 - 4*l**3) - l**3 - 2*l**3 + l**3 + 356*l - 356*l + 19*l**3 - 8 - 4*l**3 + 8.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.86 - -1.84. Let k = 2.3 + p. Let s = 15 - k. Which is the third smallest value? (a) s (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -56. Let a = -10 + g. Suppose c = 2*z + a - 2, 0 = -3*z + 12. What is the smallest common multiple of c and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11)\/(88\/(-20))*146*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 12)*(34*g + g - 18*g + 5*g).\nAnswer: -440*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*sqrt(308)\/sqrt(396).\nAnswer: -5*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110011100010 (base 2) in base 7?\nAnswer: -144160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -288477 and -42208857.\nAnswer: -42497334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 38*k + 298 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4494)\/26 + 0 + (-2)\/13. Let c = h + 247. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 3. Let n be u(-5). Let f(v) = v**2 + 8*v + 10. Let y be f(n). Suppose 0 = -y*d + 3 - 0. Solve 2*r + 9 = -d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13602263 (base 10) to base 12\nAnswer: 467b81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 97. Let h be t(18). Let k(y) = -5*y + 27. What is k(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467357 is divided by 1046.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 18. Suppose 0 = 2*w - 5*h + 6, 2*w - 14 = -m*h + 2*h. Suppose -4*t = 16, -6*t + w*t = -c + 25. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 29*x**4\/2 - 2*x**3\/3 + 713*x + 944. What is the first derivative of u(n) wrt n?\nAnswer: 174*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2356\/11597 or -1?\nAnswer: 2356\/11597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69449706 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 5*c**2 + 5*c + 5. Let u be g(3). Find the second derivative of -3*t**3 - 12*t**2 + 4*t**3 + 13*t**u - 18*t**3 + 181*t wrt t.\nAnswer: -102*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 23825030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1 + 1 + 1 - 2*h**2. Let k be v(3). Let c = k - -50. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221031320301 + 10?\nAnswer: 221031320311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -684 + 9*d + 2*d**3 - 684 + 1352 in the form k + a*d**3 + x*d**2 + g*d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 68.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 1383413*p**2 - 1383413*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -21. Suppose r*g = 4*g. Suppose -5*y = -2*y - 3*c - 162, 5*c = g. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 - -3.1. Which is the third smallest value? (a) -5 (b) l (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 18. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14521 (base 7) in base 6?\nAnswer: 30401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 - -6 - 22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.75478mg to nanograms.\nAnswer: 28754780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 747940 in decreasing order.\nAnswer: 747940, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 857cca (base 14) in base 8?\nAnswer: 21165072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 40*d**2 - 223*d + 5. Is n(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126168 divided by 21?\nAnswer: 6008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145713 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 13. Suppose -8*j + 65 = -3*j. Let d = j + r. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 13*n**2 - 13*n - 28. Let m be h(-13). Let t = m - -780. What is the remainder when t is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 19*a = -10. Suppose 2*c - d = a, c + d = -2*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 + (194 - (2 - -2 - 4)) is divided by 175.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y - 2*g, 4*g - 7 = 4*y - 3. Let x(l) = -2 - 2*l + 8*l**2 + y*l - 2*l - 2*l**3. Let j be x(3). What is the greatest common factor of j and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((1*sqrt(30))\/sqrt(10) + ((-1*sqrt(3))**2 - sqrt(3)) + 2 + sqrt(3)) + -3.\nAnswer: 12*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 4*q**2 - q + 3. Let p(l) = 7*l**3 - 9*l**2 - 2*l + 7. Let c be 164\/(-16) - 4\/(-16). Let s = c - -1. Calculate s*v(w) + 4*p(w).\nAnswer: w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/1595 and -91\/1305.\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y + 2. Let f(c) = -3*c**2 + 5*c - 5. Let z(b) = -2*f(b) - 5*w(b). Let a(o) = -884 + 443 - 15*o + 441. Determine a(z(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 10*c + 10. Let b(s) = -s**2 - s + 1. Let p(k) = -2*b(k) - m(k). Factor p(l).\nAnswer: -3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - 2*j - 2. Let p be z(-4). Let d be ((-4)\/(-6))\/(12\/p). Solve 0 = d*i - 0*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3 = -i - 1, 4*o = i - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10200*l + 25244.\nAnswer: -10200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l + 64. Determine x(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**25)**(-16\/3) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((20\/44)\/(-5)). What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-20))\/((-10)\/(-75)). Let w(i) = i**2 - 8*i + 15. Let y be w(c). Suppose 28 - 13 = y*d. Sort -4, 4, d.\nAnswer: -4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133035 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -118*w + 156*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3943352 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 990\/880 - 1\/8. Let a(t) = 3*t**2. Let x be a(1). Suppose -5*l + x = -7. Put l, r, -2 in descending order.\nAnswer: l, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 12*i - 25. Let k be a(11). Let c = 17 + k. Let n be (-7 + c)\/(2\/(-4)). What is the greatest common divisor of n and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (108*(-2)\/8 - -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1370 and 39940?\nAnswer: 5471780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n - 1. Let c be f(-1). Let o(g) = -5 + 7*g**c - 7*g**2 + 2*g**3 - 2*g**2 + 0*g**2. Calculate the remainder when o(4) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 19639746.\nAnswer: -19639746.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -143, -174, -223, -296, -399?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 9232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-40 - -38) + -10 + (-8 - -16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) -0.1 (b) -5\/2 (c) 1 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21\/262 - 1223\/3537. What is the common denominator of s and 23\/375?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/5)*j**27 assuming j is positive.\nAnswer: j**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*k**5 + 5*k**2 - 5*k**2 + (3 - 2*k**2 - 3)*(6*k**2 + 2*k**3 - 6*k**2) + 3*k**5 - 2*k**5 - 2*k**5.\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let t = -18.665 - -18.8. Let i = t + -0.215. What is the third smallest value in c, i, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.238 - 0.062. What is the third biggest value in -2\/9, -3, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:27 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96\/(-60))\/(4\/(-10)). Suppose p + 2*v + 29 = 2*p, u*v + 16 = 0. Solve 4*r - p = -k, -6*r + 3*r - 8 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 6*x**3 - 3*x**3)*(-x + 1 - 1) + 254 + 2084*x**4 - 122 - 132 + (-2 + 0 + 3)*(0*x**4 + 0*x**4 + x**4).\nAnswer: 2084*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*v + v. Suppose 2*c - 20 = -k, -4*k + 62 = 5*c - 3*c. Suppose 5*r + 3*o - 80 = k, -o = -r + 22. Calculate the highest common divisor of v and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394 + 58*c - c**2 - 394)*(-10*c + 2*c + c).\nAnswer: 7*c**3 - 406*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 6*n - 110. Suppose -2*m = 4*t - 3 - n, -3*m - 34 = -5*t. Solve -t*s = 2*c + 4, 0*s = 3*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -782759 and -0.2.\nAnswer: 156551.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 5, h: 2, x: 7}. What is prob of sequence xsf?\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2288 + 163 - 50336*v + 51089*v wrt v.\nAnswer: 753","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768369 = 4983*t - 105630 for t.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39732469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -0.27389, -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100781.\nAnswer: 3, 11, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626609600?\nAnswer: 2, 3, 5, 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -5*u, -3*f - 4*u - u + 32 = 0. Let p be (-4)\/(-16)*-34 - (-2)\/f. What is the tens digit of 6\/p + (-153)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 - (116 - (-30 + 117))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + 33. Calculate the least common multiple of 126 and m.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let a(s) = 0*s + r*s + s. Let q(m) = m**2. What is a(q(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 + -123. Calculate the highest common factor of k and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let x be (-1)\/(y + 32\/10). Let g(q) = 2*q**2 + 5*q - 6. What is the units digit of g(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i + 46. Calculate the least common multiple of 28 and w(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7075439, -7075453, -7075481, -7075529, -7075603, -7075709, -7075853?\n\"Answer: -r**3 - r**2 - 4*r - 7075433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i**2 + 18*i. What is z(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.97 and -0.0888248.\nAnswer: -0.174984856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r - h, -3*r + 4*h + 22 = 2*r. Let d(x) = x**3 - 26*x**2 + 4*x - 90. Calculate the remainder when d(26) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 7*p**2 - 4*p - 6. Let i be z(6). Let m = i - 10. Let x = 16 + m. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*v + 4*r - 20, -2*v = -2*r + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, -1\/179, 133 in increasing order.\nAnswer: -1, -2\/9, -1\/179, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -198? (a) 2\/2681 (b) 53 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 64 + 27. Solve w - 4*d + t = 0, -2*w + 2*d = -0*d + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163b7b940 - 4?\nAnswer: -163b7b944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/13, 2\/3, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 + 216. What is the tens digit of a\/(-5) + (-3 - -8) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 = 8. Which is greater: i or -1\/136?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -8 + 32. What is the closest to -2 in -0.4, s, -0.3, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 416*t + 4 - 1.\nAnswer: 416*t + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.9 - 75. What is the nearest to 1 in -4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139499?\nAnswer: 199, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1462\/144 - (585\/(-81) + 8 - 1) and (-1)\/(-6) - (-1246)\/(-252).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -442593, -442598, -442603?\n\"Answer: -5*h - 442588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 474?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 67. Let l = -22 + i. Let v = -17 + l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**3 + 30*f**2 - 16*f + 1355. Let z(p) = 6*p**3 + 42*p**2 - 23*p + 2032. Determine -7*r(k) + 5*z(k).\nAnswer: 2*k**3 - 3*k + 675","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-226)\/(-6) - (-8)\/(-12). Let r = i - -1. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6393688 (base 10) to base 15\nAnswer: 86465d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174719, -174680, -174637, -174590, -174539?\nAnswer: -174484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w + 3. Let j(b) = -201*b + 2 + 103*b + 101*b. Give -6*d(z) + 11*j(z).\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368 - 368 - 7*w to s + a*w and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 37*k + 93. Let w(s) = 73*s + 186. Let j(n) = 5*u(n) - 3*w(n). Let b be j(-3). Solve 4*l = 3*f + b, f - l + 3 = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(120)\/(sqrt(5) + sqrt(20)\/sqrt(4)*4 + sqrt(5)))\/(sqrt(108) + (sqrt(108) - (sqrt(108) + 5*(sqrt(108)*-2 - sqrt(108)))) + sqrt(108)).\nAnswer: 5*sqrt(2)\/306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 197, 1452, 4829, 11390, 22197, 38312?\n\"Answer: 177*u**3 - u**2 + 19*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136568623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 21, 4, -2.\nAnswer: -6, -2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + a**2 + a + 1. Let p be w(-2). Let l = p - -15. Suppose 3*o + l*y - 30 = 0, 2*o - 4*y - y - 20 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1564, 3122, 4682, 6244, 7808?\n\"Answer: y**2 + 1555*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11141691.\nAnswer: 3, 11, 337627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 45562967\nAnswer: -182251868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:35 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - (-14)\/8. Suppose y = -1 + 2. Which is the nearest to y? (a) 1\/4 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 12 + -4 + -4. Suppose 4*i - b = 13, 5*i + r*b = 2*i - 9. Solve 16 = i*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyee when four letters picked without replacement from {d: 1, y: 1, h: 1, k: 1, m: 1, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 27*z**2 + 10122*z + 237. Calculate s(-115).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 32*b**3\/3 + 2*b. Let t(a) be the first derivative of 0*a**2 + 2\/3*a**3 + 0*a + 180. Calculate h(t(d)).\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 16, 5*a = d + 2*d + 167. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 15. Let a be ((-10)\/b + 1)*-3. Suppose a*r - 10 = -0*r. Solve 4*d + 5 = -4*t - 15, -r*t - 16 = 2*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 75.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-12))\/(1\/2). Suppose a + 736 = f*a. What is the highest common divisor of 23 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*n - 3*a, -n = -4*n + 4*a - 6. Suppose -n*u - 2*u + 10 = -5*z, 5*z + 10 = -u. Suppose u = s - 13 - 18. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 29. List the prime factors of u(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 43\/172*(9 - 1)\/2. Solve -4 + i = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*v - 652 = -7651, -4 = -4*v. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 197 = -4*r + q, -2*r + 115 = -5*q. Let a = 6 + r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) 4 (d) -3 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/9 (b) 1\/3 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2\/2 + 239*y - 3. Let o be w(0). Find the common denominator of o\/(-12) - 6\/8 and -49\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 93, 179, 319, 531, 833, 1243, 1779?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 + 19980*g**2\/7 - 438834*g\/7 + 344608.\nAnswer: -2*(g - 9968)*(g - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43876 is divided by 320.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 + 2)*(-12405*u - 116*u**2 + 12405*u).\nAnswer: -1508*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -1*sqrt(150)\/sqrt(5))\/(sqrt(600) - (sqrt(600) - sqrt(600)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2\/3*w**3 - 4 - 39\/2*w**2 - 43\/4*w**4 + 0*w. Find the third derivative of r(o) wrt o.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0, -24, 1, -4\/5, -136.\nAnswer: -136, -24, -4\/5, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) 14 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 217721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7235761500 to the nearest one million.\nAnswer: 7236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711 - 1702 + 3413 - 15367*w**3.\nAnswer: -15367*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 10*c**2 - 6*c - 14. Let f be y(9). Let j(s) = -13*s - 3 + 9*s - f*s - 4*s. Is 9 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*z**5 + 14803*z**4 - 219207*z**2 wrt z?\nAnswer: 1020*z**2 + 355272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35198139 is divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10408 and 26.2?\nAnswer: 10434.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 6*r)*(6*r**3 + 10*r - 10*r) + 6027*r**4 - 6*r + 4*r - 6618*r**4.\nAnswer: -609*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**4 + u**2 + u + 1. Let i(n) = -4 - 2*n**4 + 3*n**2 + n**4 - 3*n - 7*n**2. Let c(h) = i(h) + 4*y(h). Find the second derivative of c(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3037289439 and 1210.8.\nAnswer: -3037288228.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 161, 1.\nAnswer: -17, 1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 378 = -11*y. Suppose -n + y = -5*u, 8*u - 2*n + 24 = 3*u. Let j(t) = -t**2 - t + 2. Give j(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*c - 156*c + 622*c - 148*c - 162*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 191, 185, 125, 11, -157?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -3, 0, 3 in decreasing order.\nAnswer: 49, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.56 (b) -1\/7 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 21648*h - 2251410. Calculate w(104).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a factor of 2051287564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 + 31 = -5*p. Let q = p + -72. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3 - 8*b - 3*b)*(2*b**3 + 0*b**3 - b**3).\nAnswer: -10*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, 4, 53 in decreasing order.\nAnswer: 53, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 28. Let p(l) = -2*l**2 - 5*l. Let q(i) = i**2 + 2*i. Let v(a) = 2*p(a) + 5*q(a). Determine x(v(m)).\nAnswer: -m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose v = 3*t + q - 2*q - 8, 5*q + 25 = 0. Which is the nearest to t? (a) 1 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*g - r = -16, 0 = -4*g + r - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -101111101011110010001100?\nAnswer: 101111101011110010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(4*r**2 + 4 - 4) + 4*r + 2*r**2 - 4*r to q*r**2 + v + l*r and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/474861 and -11\/3.\nAnswer: 474861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 = 8*k - 10*k - 30*k. Suppose -2*c - 4*l + 1118 = 0, 3*c - 3*l - 929 = 793. What is the remainder when c is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*v + 367, 0*v = 3*v + 5*q - 613. Let l(f) = f**2 + 6*f + 8. Let y be l(-4). Suppose y*i + v = i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14 and 37\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**7\/168 + 25*r**6\/12 + 625*r**5\/2 + 78125*r**4\/3 + 3906250*r**3\/3 + 39062500*r**2 + 87*r. Solve a(j) = 0 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 782157, 3127732, 7037031, 12510060, 19546825, 28147332?\n\"Answer: x**3 + 781856*x**2 + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -20*k**3\/3 - 1221355*k**2\/3 - 18644976350*k\/3 + 13985793375 = 0.\nAnswer: -30535, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(0 + 0 - 2)*(13 - 13 - 11*a**2)*(-a + a + a**2).\nAnswer: -88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 218*y**3 + 4*y**2 + 41*y + 4. Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14 - 10 = 0. Suppose y*s + 35 = 15. Is -111*s\/30*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/12)\/(1\/6). Let l(d) = 10*d**2 + 2*d - 2. Is l(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456223861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 5*i. Suppose 2*y = -i*h - 22, -h = y + 2*h + 11. Let t = 1 - y. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*m - 1, -50 = 106*h - 89*h - 5*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2, -3, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + n - 13, -7 = -38*v + 35*v + n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 37 + 6 = 2*t, b + 4*t = 23. Solve -b*r - 2*r = 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**4\/6 + 756*h**2. Let i(q) = -5*q**2 - 4. Determine i(c(j)).\nAnswer: -80*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f - 15*f**2 - 14*f - 13*f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33332212 (base 4) in base 12?\nAnswer: 31a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g = 100. Let m(q) = -8*q. Let i(v) = -65*v. Let f(a) = g*m(a) - 3*i(a). Let w(p) = 3 - p - 15 + 12. Calculate f(w(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 63. Solve -5*j + h = -4*w - 12, -2*j + 7 = -w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.972043 and -39245.\nAnswer: -39248.972043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.533 - -31.533. Which is the fifth smallest value? (a) 7 (b) -2\/7 (c) 0 (d) -4\/7 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let p be f\/12 + (-33)\/(-12). Solve 1 = -p*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -104798*r + 1362375. What is v(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -28. Suppose 4*u - 2*o - 170 = 0, o + 1 = -d*o. Suppose 2*n + 6*b = 11*b + 4, -16 = -4*b. Calculate the least common multiple of u and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -25. Suppose 3*p + a*t = 0, 3*t + 9 = 3*p - 15. Let q(c) = 97*c. Is q(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3793903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057, 1062, 1067, 1072, 1077?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 2675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27231, 54459, 81687, 108915?\nAnswer: 136143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z - 4*z + 6*z)*(14*z**2 - 602 + 602) to the form s + q*z**3 + b*z + m*z**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1a92 (base 12) to base 5\nAnswer: -101103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 157*v = 76*v + 915 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 19278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose -3*n - z*n - 34000000 = 0. Round n to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110167 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d - 127. Let v be (22\/d)\/((-26)\/(-6)). Suppose 3*a + 5 = 2. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -592 + 592.1. Suppose -u = -5*u - 8. What is the nearest to u in 0.2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*z**4 - 378*z**3 + 378*z**3 + (-6*z**2 + z**2 + 4*z**2)*(2*z - 2*z - 9*z**2).\nAnswer: 82*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/(8\/432). Is 13 a factor of (-5 + (-66)\/w)*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*r**2 + 77*r**2 - 189*r**2 - 1 + 2.\nAnswer: -22*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 2. Let c(d) = -5*d - 3. Let u = 37 - 40. What is u*x(k) + 2*c(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + (1 + 1 + 0)*(2 + 4 - 4) + 0 + 1 - 2 - 3 + 2 - 1)*(2*s + s + 0*s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 13*w**2 + 55*w - 19. Let k be t(-9). Let o be (0 - k\/8) + (-126)\/(-504). What is the greatest common factor of 32 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27803900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*d - 5*d. Solve d = l - v + 6, 4 = -4*l + 5*l + 4*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 352937066 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 52145?\nAnswer: -52154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/5, -17.49, -58 in increasing order.\nAnswer: -58, -17.49, -24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -30, 1, -4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -3*z + 3*j - 15, -3*z = 2*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:56 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -113225?\nAnswer: -113224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372283943?\nAnswer: 4801, 77543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 31.2. Let x = w - -2.8. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/40 - m**4\/6 + 4*m**2. What is the second derivative of s(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6)*q)\/q**(-39) assuming q is positive.\nAnswer: q**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1032 = 4*w, -4*l + 14*w = 11*w - 1034. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88125 divided by -375?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4543*c + 950. Let q(m) = 1817*m - 396. Determine -12*q(h) - 5*r(h).\nAnswer: 911*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (-21 - -40) + -7 + 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8239 + -4?\nAnswer: 8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 + 3*a + 3. Let p be t(-1). Let s be (-6)\/(-9) + 58\/3. Solve -p*j = 2*j + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47722279.\nAnswer: 11, 181, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377)*1 - (sqrt(1377) + 0)*-3)**2.\nAnswer: -72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 872*x + 27 = -875*x, -2*p + 4*x + 9 = -23 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)\/(-2) + 0. Let g(l) = 3 - 1 - 1. Let f(h) = h - 5. Let v = 13 - 8. What is r*f(o) + v*g(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2648 (base 15) to base 9\nAnswer: 12175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -14*i - 9. Solve -5*u = -n - 16 + 1, -2*n - u = i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40511 (base 6) to base 11.\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -66961 minus 0?\nAnswer: -66961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 15*r - 2382 = -3*g, -5*r - 4*g + 2976 = 0. What is the remainder when r is divided by 145?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10154154 (base 7) to base 15\nAnswer: -11ceb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 0.03, -2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g**2 - 10*g. Let w(q) = -q**2 + 0*q**2 + 2*q**2 + 0*q**2. Let z(n) = d(n) - 2*w(n). Find the second derivative of z(l) wrt l.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 24*m - 1. Determine b(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -1\/4*n**4 + 1\/2*n**2 + 0*n + 0*n**3 - 2. Find the second derivative of y(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/233 + 747\/1864. Let c(b) be the first derivative of 1\/8*b**3 + 7 + 3\/16*b**2 - p*b - 3\/32*b**4. Factor c(k).\nAnswer: -3*(k - 1)**2*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6 + 6. Let x = j + 1. Let m = 1.88 + 0.12. Which is the third smallest value? (a) m (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-28) + 0 + (-38)\/70. Which is the nearest to 0.7? (a) -2\/9 (b) n (c) -0.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/6 - 50*s + 299\/6 = 0.\nAnswer: 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2921 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5*y**2 + 3*y + 1. Suppose 6*r - 35 = -29. Suppose -3*n + 3 = -3*x, 3*x = n + r - 10. Determine c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -3 in descending order.\nAnswer: 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16335163, 0.04, 1.\nAnswer: 0.04, 1, 16335163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - l**2 + l + 76. Let v(y) = 2*y + 6. Let x be v(-2). Let k be x\/8 + (-22)\/(-8) + -3. Calculate the remainder when a(k) is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -841 = -3*t + 2810. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168390574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5 = -k. Does 13 divide (3\/6)\/(k\/46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5942 + -0.2058. Which is the second biggest value? (a) -1\/5 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 32 - k**4 - k**2 + 266*k**3 - 799*k**3 + 269*k**3 + 261*k**3 as b + u*k**4 + o*k + q*k**3 + j*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24965, 99959, 224933, 399887, 624821?\n\"Answer: 24990*b**2 + 24*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 4*c + 3*c + 26*c**2 - 163*c**2 + 3*c - 3*c as r*c**3 + i*c**2 + y*c + l and give i.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.13 (b) -0.3 (c) -5 (d) -4 (e) -2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 3. Let n be h(-4). Suppose 71 = 6*f - n. Solve -4*g = -4*m - f, -2*m + 5 - 12 = -3*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -8*(-4)\/8. Find the first derivative of -1 - 2*v + 6 + 3 + x*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -19*z**3 - 2*z - 1 + 13*z**3 + 0. Suppose -3*g - 3*d + 16 = -2*g, d = g. Suppose 0 = 4*q + g. Give l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 1, z: 2, x: 3, q: 9}. Give prob of sequence czq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from {u: 5, l: 8}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from xvxvxxmbvgxx.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 7*b**2 + 2*b + 12. Let u be j(-7). Let o(q) = -q - 4. Let a(w) = -3*w - 17. Give u*a(c) + 9*o(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -4 + -22 - (107 - 143)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) + -2*sqrt(84)))\/((sqrt(132)*-1 - sqrt(132))\/sqrt(11)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125861714.\nAnswer: 2, 11, 5720987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -55. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*o**3 + 15*o**2 + 6*o wrt o.\nAnswer: -1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2609.3 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -6. Calculate the common denominator of (-674)\/56 - 2\/g and (-81)\/(-22) - 2 - (-8 + 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.24 + -15. Let d = 0.06 + q. What is the biggest value in -2, 5\/2, d?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - 1b?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-25)\/15)*(-1404)\/(-6435). What is the nearest to b in -0.3, -0.4, 2\/447?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16909*r**2 - 78*r - 296. Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61223236 (base 7) to base 6.\nAnswer: 301140021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 691.\nAnswer: -2\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 7*z - 14 = -v, 0 = -5*v + z - 8. Let o(s) = -56900001*s**3 - 2*s**2 - 3*s - 2. Let h be o(v). What is h rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - 6aa26?\nAnswer: -6aa54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327082 is divided by 854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1012 + 22*p**2 - 1012)*((p - 3*p + p)*(1 + 1 - 3) + 3 + p - 3) in the form v + x*p**3 + c*p + g*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z - 22*z - 47*z - 5 + 125*z - 24*z.\nAnswer: 3*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 234961427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*(-6)\/8.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9684, -9700, -9730, -9780, -9856, -9964?\nAnswer: -10110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*q = -0*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-7017653.\nAnswer: -3508826.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + y**3\/6 - 7*y**2\/2 - 4*y. Let n(w) = w**2 + 9*w - 5. Let s be n(-10). Calculate h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004116535 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*6\/(-2 + -1). Let m(s) = -6*s**2 + 42*s - 24. Let w be m(4). Calculate the highest common divisor of w and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 2*h - 2. Let k = -46 + 44. Give j(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(1216))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - n - 24 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 + -458. Sort n, 33, -3 in ascending order.\nAnswer: -3, n, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*b - 3*b - 3*b)*(0*b + b + 2*b) + 3*b**2 - 6*b**2 - b**2)*(-3*b - 2*b + 3*b) as a*b**2 + d*b**3 + p + m*b and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5274 is divided by 1292.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*12\/9. Let h = -1 - r. Let c be ((-7)\/217)\/(-1*h). Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -4. Solve 0 = 5*u - v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -21.11. Let r = -0.09 - j. Is 0.9 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278911\/665 + -2097\/5. Let y = 2 + -2. Suppose y = 2*x + 3*x. Is r at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*((f\/((f**8*f)\/f))\/f*f)\/f*f*((f**(4\/11)\/f)\/f)\/f**(3\/5) assuming f is positive.\nAnswer: f**(-178\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 173 = 799. Suppose 5*r = -r + t. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 40209520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmjmzmjm. What is prob of sequence jjzj?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 40 = 0, -1564*k + 36 = -2*t - 1560*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 1.6. Suppose 33 = 3*w - 0*w - 5*r, -5*w + 42 = -4*r. Let v = w - 11. Which is the closest to -0.1? (a) j (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -1)*(-4)\/10. Let w(l) = -l**k - l**2 + 0*l**2 - l**2. Let o(z) = z. What is w(o(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/14*(-12)\/(-2) - 1. Suppose -n*h = 7*h - 90. Solve -2*b + h = -0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-4 - -27) + -130 + -61.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.6 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 2367.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/5)*m))\/m*m*m\/(m*m**(1\/2))*m*(m\/(m*m**1*m)*m*m)**(7\/4) assuming m is positive.\nAnswer: m**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35504?\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144.29 - 2.71. Let b = 154.871 - 0.171. Let r = b + h. What is r rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3900*-50)\/((-5)\/3).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3)*2\/(-4). Let o = p - -110. Suppose -6*z + z + o = -3*d, -3*z + 55 = -4*d. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8339, 8046, 7557, 6872, 5991?\nAnswer: 4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201101212001 (base 3) in base 15?\nAnswer: 13093a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**7\/840 + p**6\/60 - p**5\/30 + 5*p**4\/24 - p**3 - 6*p**2. Let n(x) be the first derivative of y(x). Calculate n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 + 5*j + 30. Let n be u(5). Let l be -2*(6\/n)\/(-13 + 15). Factor -l*t + 0 - 2\/15*t**2.\nAnswer: -2*t*(t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 37*h**2 + 165*h + 179. What is p(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 - l**3 - 8 + 0*l**3 + 14 + 0*l**3 - 5*l. Give v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*f + 1, 4*g + 0*g + 5*f = 13. Let d be ((-1*g)\/1)\/7. Let v = -1.4 - -1.5. What is the closest to v in d, 4\/5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9238 - -13748. Let h be f\/45 + 4\/(-18). Calculate the greatest common divisor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 19 + 27 + -39.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 v when four letters picked without replacement from {n: 1, c: 13, v: 2, y: 1}?\nAnswer: 143\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18709, -3, 59\/14, 4 in descending order.\nAnswer: 18709, 59\/14, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 8 = 54*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*z**2 + p**3*z - 116*p**3 + 50*p*z**2 with respect to z.\nAnswer: 4*p**3*z + p**3 + 100*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -3 (c) -8\/23 (d) -13 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 87*l - 463. Give y(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1587 and -49\/73140.\nAnswer: 1682220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let w(z) = -2*z + 2. Let k(y) = 5*h(y) - 4*w(y). Differentiate k(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let x be y\/(-1 + (3 - 3)). Suppose 5*p - 1 = -g - x, -4*p - 10 = -g. Solve 5*j + 2*t = 35, 3*t - 5 = -4*j + g*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 10*y**2 + y - 8. Let n be h(10). Solve 0 = -0*m + n*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 c when three letters picked without replacement from egsfc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + 33. Let a = 368 - t. List the prime factors of a.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 15*l - 21. Let q be c(-7). Let u = 78 - q. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -3877, 2 in descending order.\nAnswer: 2, -1.2, -3877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23763, 47614, 71459, 95298, 119131?\nAnswer: 142958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 22 = s, 0 = -s - 0*s - 3. Suppose 0 = r - z*r + 20. Calculate the common denominator of -149\/6 and ((-106)\/(-4))\/(-2 - r).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178207500 by -3.\nAnswer: 59402500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -0.1 (c) 2 (d) -3 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51584719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -29.\nAnswer: -29, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z + 9 - 2*z - 34*z. What is the hundreds digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27168 = -14*w + 11654. Suppose -15*m + 2537 + w = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**4 - 285*g**3 + 1270*g**2 + 1560*g = 0.\nAnswer: -1, 0, 6, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -20, -1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 99*a**2 + 15*a - 163. List the prime factors of z(6).\nAnswer: 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 25\/(27500\/14340).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:35 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 411 (c) -8\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*o**2 + 423*o**2 - 6*o**3 + 517*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1518, -1579, -1682, -1827, -2014?\n\"Answer: -21*z**2 + 2*z - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7\/13 (b) 0.26 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577 times -0.4?\nAnswer: 0.02308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106492 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46953997 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 26. Let t(h) = -5*h**2 - 3*h - 1. Let n be t(-2). Let i = m + n. What is the highest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + -4 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from pppvoovppoopovpv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*q - 0*z + 1, 0 = -4*z + 16. Let v = q + 0. What is the third derivative of -3*y**v + 2*y**2 + 20*y - 20*y wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/15 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17776746\/1055 - -16850. Let t = n + -21144\/11605. What is the common denominator of -57\/508 and t?\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 4\/(-3))*3. Factor -5*g - g + 0*g**4 + 4*g**3 - 2 + 4*g + 4*g**2 - 2*g**4 - x*g**5.\nAnswer: -2*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h - 239. Determine b(20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 854546747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3)*(-2 - 13). List the prime factors of 5\/30*(f - -2704).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(153)*2 + -1 + sqrt(153))**2*-2 + ((sqrt(153) - 2*(sqrt(153) + 0))*2)**2).\nAnswer: -72*sqrt(17) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -5*i + 4562 - 4587, -i = 4*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1379345.\nAnswer: 1\/1379345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -25722\/65 (c) -4\/5 (d) -2\/5 (e) -3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8140487 - 2?\nAnswer: -8140489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -0.092852102.\nAnswer: -0.092852102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**(6\/7)*g)\/(g*g**4\/g*g))**(-34) assuming g is positive.\nAnswer: g**(442\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1725 and 44640?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 5306*i**2\/3 - 124215*i\/2.\nAnswer: i*(i - 10647)*(i + 35)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981588 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 - 271. Let h = 6.4 - 6. What is the biggest value in h, l, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21797412 and 8112.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 5 + l**2 - l**3 + 9*l - l**2 + 8*l**2. Let i be m(-7). Let q = 5 - i. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -74 and -0.04.\nAnswer: -74.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-6*2*sqrt(77)*-3)\/(sqrt(44)\/(sqrt(48)\/(sqrt(48) - sqrt(12)))))**2*-2.\nAnswer: -36292 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512198 is divided by 5626.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 9. What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -346378853 divided by -1\nAnswer: 346378853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -12. Let m = 11 + x. What is the third derivative of 4*z**2 + z**4 + m*z**2 + 3*z**4 wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:41 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4*a - 0*a - 3, -2*a - 15 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10*d - 8. Solve -5*k = -4*h - d, 6*k - k - 8 = -3*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4, -2, 13, 3, 2 in decreasing order.\nAnswer: 13, 3, 2, -2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1 + k - 698*k**2 + 1392*k**2 - 695*k**2. Let t be 6\/(-4)*4\/(-6). Determine d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 525403?\nAnswer: 27\/525403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0\/1 + 2. Suppose v + 4*v = 20. Let q = -15 + 13. Put v, q, t in descending order.\nAnswer: v, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*(sqrt(171) - (2*sqrt(171) - sqrt(171))))\/(-2*(sqrt(324)*-2 - sqrt(324))))**2 + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 9. Let w be q(-13). Let y = 120 + w. Calculate the greatest common divisor of y and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*u - 50, -5*d - 4*u = -108 + 94. What is the least common multiple of 2289 and d?\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5 + (2 + -5 + -3 + sqrt(14)\/sqrt(2) + sqrt(7))*-3)*2)**2.\nAnswer: -576*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k + 107*k - 75 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282058663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 + -234. Let t = q - 66.05. Is 1\/5 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1*z*z)**(-43))**(-6)*z**(-4)*(z*(z\/(z\/(z*z*(z\/(z**(-2\/11)*z))\/z*z)))\/z)\/z*(z**(2\/13)*z)\/(z\/z**2) assuming z is positive.\nAnswer: z**(147481\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2. Let d be (2\/1 - 4)*(-28)\/8. Suppose -22 + 1 = -d*n. Suppose -6 = -n*q - 12. Calculate r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -2. Calculate the least common multiple of 10 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*w**2 - 8*w**2 - 6*w**2)*(2*w**3 - 9*w**2 + 9*w**2) - 3*w**5 + w**5 + 0*w**5.\nAnswer: -110*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 9. Calculate the lowest common multiple of q(-10) and 8\/28 - 206\/(-14).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.28 + -1.72. Let k = 0.09 - -4.91. Which is the smallest value? (a) 0.1 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((-75)\/2)\/25)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 59610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-11) + 60\/33. Suppose -k = 3*i + 19, -3*k - 4*i - 22 = -d*i. Is 338\/6 - k\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3077*c + 261457. Give r(85).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500)*-5)**2 + (3 + -1 + sqrt(5) - sqrt(125)*-1).\nAnswer: 6*sqrt(5) + 12502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:29 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 424*p + 55936.\nAnswer: -2*(p - 304)*(p + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 32. Suppose -i*y + y = -y. Solve y - 2 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/580900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r + 7. Let g be m(-9). Let j be g\/(-8) + (-33)\/(-12). Solve 4*f + j*q = -7, -19 = -3*f + f + 3*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 + 9*c - c**2 + 0*c**2 + 152 - 267 + 5*c**3 in the form k*c**2 + f + v*c**3 + q*c and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12*f - 45. Let c be f\/5 + (-756)\/(-315). Let r = 3 + 1. Solve 5*o - 2*j - r = o, 6 = 4*o - c*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0.1 (b) 1\/2 (c) -33 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 10034596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1886*h - 1889*h + 5236*h - 1464*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 51, 106, 199, 342, 547?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.09 - 0.09. Let g = i - 4.9. Suppose 0 = -4*j - 0 + 8. What is the closest to g in 0.1, 0, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -449.07 and 48.\nAnswer: -21555.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 8, n: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (355\/(-17324))\/(5\/(-6)). Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -0.08. Let a = 1685 + -1681. Sort a, -0.4, h.\nAnswer: -0.4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 656867 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -7*d**2 - 1. Let n = -459 - -5972. Let o(g) = -n - 2*g + 5513. What is h(o(a))?\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 563*f**3 + 78960*f**2 - 79524*f.\nAnswer: f*(f - 1)*(f + 282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925.0015735 + 925. What is q rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9463876?\nAnswer: 2, 2365969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.48321605 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 47029232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -10. What is the third smallest value in q, 0, 1, -1.51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4024511, -4024498, -4024481, -4024460?\n\"Answer: 2*c**2 + 7*c - 4024520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 45189888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.02 - 0.02. Let n = -49080 + 49082. Which is the closest to -1? (a) n (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12404, 19966, 27526, 35084, 42640?\n\"Answer: -v**2 + 7565*v + 4840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21, -0.4, 627, -1\/173?\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1813 at most as big as -5437\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 7*p - 7. What is n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3990 and 147?\nAnswer: 27930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.5058766 rounded to two dps?\nAnswer: -252.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + n + 13*n + 2*n to k + h*n and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -112164 times -0.02\nAnswer: 2243.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -11. Let z = 0.9 - 2.9. What is the second smallest value in 1\/4, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23584 - 23576 - 23576 - 204*i**3 + 70736 - 79*i**3.\nAnswer: -283*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31444 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let u be 4\/(-3) - 5576\/(-3444). What is the nearest to r in -0.4, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/(6\/48*-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 12. Let p(f) = f**3 - 4*f**2 - 7*f + 32. Let a be p(3). Suppose a*h + 9 = 2*y + 5*h, -12 = 5*y - 4*h. Solve -12 = -b*z, -2*s = -5*z + 18 - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + 2 + -1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7*r = 6*r - 9, 5*o + 5 = 5*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -671. List the prime factors of l.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -51. Solve -w - 4*w + k = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97758509.\nAnswer: 3881, 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -583 - 3*k**3 + 585 + k**3 - 3*k**2. Let u be (-4)\/(-6) - 11\/3. Calculate the remainder when 57 is divided by x(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22399 - 21496. Calculate the greatest common factor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5.7.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d - 65 = -205*d + 54*d. Solve d = 3*p - 141*g + 142*g, 0 = -4*g - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 453, -5, -12, -4 in increasing order.\nAnswer: -12, -5, -4, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/142 and -89\/1088.\nAnswer: 77248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*0\/1. Let r = 2.88 + -0.88. What is the biggest value in -0.3, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -72. Which is the third biggest value? (a) r (b) -0.09 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 39*r + 2. Let n(y) = -2*y - 21. Determine d(n(i)).\nAnswer: -8*i**2 - 90*i - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3643 is divided by ((-37 - -38) + 13\/(-5))\/((-10)\/1425).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -22. Let i be (-5)\/z*63\/(-3). Suppose -2*h + 22 = o, -i = o + 3*h - 34. Solve -5*f + 13 = 4*t, -f - f = 5*t - o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3258\/19 greater than or equal to -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 425178948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*z**3 + 5096*z**3 + 1421*z**3 + 3375*z**3.\nAnswer: 9009*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*q - 2*q**3 + 32 + 138*q.\nAnswer: -2*q**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 129. Is 23 - w - (-22 - -14) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 99.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 3*l + 41. Let u be n(-5). Solve -4*x - 2*o = -u*o - 8, 0 = 3*x + 4*o + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-88)\/(-64) - 18\/48)\/(-5). What is the nearest to -8 in 0.3, -4, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 54*i + 642. Let p be l(39). Solve -25*c = 18 + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 3*m - 2. Let u be p(1). What is the biggest value in -11, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 6*n**2 - 6*n + 5. What is the tens digit of j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 7)\/(1\/(-35)) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 7*t - 2. Let z be s(-6). Suppose 0 = 2*m - 0 + 6. Let h = m - -5. Solve -5*i - 19 = -l + z*l, -h*i - 3*l - 4 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/k**(-1)))**(22\/3)\/(((k**(1\/3)\/k)\/k)\/k**(-2)) assuming k is positive.\nAnswer: k**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9058 + -0.0942. Sort g, -2, -2\/17, 2\/13, 0.2 in descending order.\nAnswer: 0.2, 2\/13, -2\/17, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/12 - 5*g**3\/6 - 11*g**2. Factor m(h).\nAnswer: 5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2252 or 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:00 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m = -46*m. Solve m = -2*d - 0*c - 2*c - 4, c = 3*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toxltrllooollhoxttoo. What is prob of sequence rxo?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2 + -3)\/1. Let d be x\/(4\/5 + -1). What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n + 2*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f. Calculate q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*j - 190, 3*j - 5*q - 163 + 33 = 0. Put j, 4, 3 in descending order.\nAnswer: j, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-16758)*-27)\/((-12)\/(-28)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*546\/35. Let u be w\/15 + 15\/(-25) + 2. Which is the closest to 0.1? (a) u (b) 0.24 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -27. What is the smallest value in 0.2, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700661866?\nAnswer: 2, 83, 10244951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6362 or 6383?\nAnswer: 6362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 1. Let r(j) be the first derivative of 5*j**4 - 15*j**2 + 15*j - 19. Let v(q) = -15*n(q) + r(q). Find the second derivative of v(c) wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:07 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 0.9. Round q to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = -l, -14 = -u - 2*l. Let p be (-2 - -3)*-2 + 12. What is the highest common factor of u and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/4 - 42*k + 495 = 0. Calculate k.\nAnswer: -66, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 3 - 3) + 36 + -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 - -228. Which is the smallest value? (a) r (b) 3.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + 0*z + 0*z)*(1 + 2 - 2) - 2*z**2 + 373 + z**3 - 3*z**3 - 376 - 53*z**4.\nAnswer: -58*z**4 - 2*z**3 - 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14580 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -322 + 6561. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 + 4 = 0. Suppose 0 = j*k + k - 68. Let n be 5\/5*(-1 - -52). Calculate the greatest common factor of n and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -886.875 and -0.07.\nAnswer: 62.08125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -87?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, x: 6, s: 3}. What is prob of picking 1 s and 3 x?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(-2\/11))\/((j**2*j)\/j)**(-13)*(j**2*j*j**(-12))**(-20) assuming j is positive.\nAnswer: j**(2279\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 3*z = -15*h + 6, 4*h = z - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044461443 to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 1, y: 1, o: 1, g: 1, t: 10}. Give prob of sequence fy.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.518693\nAnswer: -1.556079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*p + r, 4*p + 5*r - 734 = -769 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/27, -92?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4253 or 5.3?\nAnswer: -4253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -21*f + 309 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. Let l(h) = -5 + 1 - 6*h - h**m + 2. Suppose 0*n - 8 = 2*n. What is l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 12*w + w**2 - 9*w**2.\nAnswer: -7*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 330536 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.6 times -90678?\nAnswer: -4769662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:52 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 43*k + 97. Is d(-31) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14677127653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 111 - 34 = 4*m, 5*m = -x + 70. Suppose 153 = 3*w - 0*w. What is the remainder when w is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*k**2 + 0 - 3 in the form s*k**2 + h*k + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -1 + 29\/(24 - 53)*-5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)*w*w*w**6*w\/((w\/w**6*w)\/w*w*w)*w**(-2\/21))**(2\/5))**(-4\/3) assuming w is positive.\nAnswer: w**(-10504\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/16*4*2. Suppose -14 = -x - p. Suppose -x*o + 68228 + 28272 = 0. What is o rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 4. Let h(m) be the second derivative of 3*m**3\/2 - 3*m**2\/2 - 363*m. Calculate -6*h(f) - 5*i(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586*j**3*r - 8*j**3 - j**2*r - 36*j*r + 115*r - 1 wrt j?\nAnswer: -3516*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.33 to 1 decimal place.\nAnswer: -48.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*q**5 - 19740*q**4 - 11220*q**3 - 1600*q**2.\nAnswer: -5*q**2*(q + 80)*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -948*w**2 + 188*w**2 + 3 - 3 to the form c + h*w + a*w**2 and give a.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -41*u**2 - 286*u + 4. Let i be p(-7). Which is the biggest value? (a) i (b) 0.0112 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (31 - -11) + -6 + 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 1, -7 in descending order.\nAnswer: 177, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 8*q**2 + q - 9. Let i(z) = -10*z**3 + z**2 - 2*z + 2. Let m be i(1). What is the units digit of a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0455 - 0.9545. Which is the third smallest value? (a) 1\/2 (b) s (c) 0.1 (d) 0.2 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003010767396 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + x = -x - 53, -26 = -2*u + 2*x. Suppose 13 + 5 = 2*n. What is the least common multiple of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -18 - (42 - 27) - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -18 - 3*n + 2\/3*n**3 - 5\/2*n**2. Calculate j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 + 10*j + 16. Determine t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 101\/3. Put -5, a, -2\/13 in ascending order.\nAnswer: -5, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 413\/2 - 201. What is the common denominator of h and 8\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5211229 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 10026628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gohggox. What is prob of picking 1 x and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211202001200 - -11110?\nAnswer: 1211202020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92 + -5?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -758221 (base 16) to base 11.\nAnswer: -438a992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214420345.\nAnswer: 5, 29, 47, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-16)\/70)*-6. Let w be 42\/4*(-198)\/27 - -6. Let f = w + b. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 549?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*u - 1397*u + 463*u + 458*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 22704*b - 96650928.\nAnswer: -4*(b - 8514)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(36)\/(-2*sqrt(12)) + -6*2*sqrt(147).\nAnswer: -81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 10872?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**4 - 325*j**3 - 1500*j**2 = 0.\nAnswer: -60, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -96504336 divided by -6031521?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-30))\/((-24)\/20)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17067 - -16708. Which is greater: -363 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-14)\/180*48\/(-18)*(-1113)\/51940.\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, 1 f, and 1 k when four letters picked without replacement from lwhgfwkl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*o = -126, 2*a - 2*o - 121 = -25. Calculate the remainder when 6207 is divided by a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-18) - 4\/18. Let d be (288\/33)\/(-4) - p. Let i = -73.6 - -74.1. What is the third biggest value in d, i, 1.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267238 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + 4255*g**2\/6 - 4780475*g\/6 + 533028125\/6.\nAnswer: -(g - 2065)**2*(g - 125)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 117 (b) -1 (c) -0.2 (d) -0.06 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*25\/(-25)*((-12)\/9 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12 + 4*j - 2*j - 34. Let z be m(12). Determine y so that -z*y**2 - 87*y - 34 - 16 + 107*y = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**8\/24 - 11*m**5\/60 + 15*m**2. Find the third derivative of a(k) wrt k.\nAnswer: -840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 4\/9*o**4 + 1\/45*o**6 + 0 - 4\/9*o**3 + 0*o**2 - 13*o - 1\/6*o**5. Suppose z(g) = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 2, j: 1, l: 1}. Give prob of sequence jkk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-10))\/(2\/4). Let g = 3 + i. Suppose -g = -c - 1. What is the remainder when 8 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 - 76*y + 14. Let a be t(10). Let w = 264 - 263. Put w, -5, a in ascending order.\nAnswer: -5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -26*j + 26. Let h be z(14). Let q be (h\/39)\/(2\/(-6)). What is the greatest common factor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 3\/4 (c) -1 (d) -0.028 (e) -4177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 (base 10) in base 9?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2*6*-2)**2 + ((-1*sqrt(448)*3)**2 - sqrt(448))*6 + 2.\nAnswer: -48*sqrt(7) + 282242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.312? (a) -9 (b) 2\/21 (c) 11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153897868 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 3*i**2 + 3*i**2)*(2*i**3 + 4 - 4) - 4*i**5 - 5*i**2 + 5*i**2 + 0*i**5 - i**5 + 2*i**5.\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1315 - 718. What is x rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394*f**2 + 52 - 2803*f**2 + 1408*f**2.\nAnswer: -f**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19d21 - 3?\nAnswer: 19d1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 66*v - 3. Let n(y) = -y + 1. Determine -4*n(g) - p(g).\nAnswer: -62*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62176148 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -943, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:24 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**4 + 18*b**3 - 4066*b**2 - 220392.\nAnswer: -8*b**3 + 54*b**2 - 8132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 16. Let z be w(12). Let b(y) = 3*y**2 - z + 7*y**2 - 5*y + 13 - y**2 - 4*y**3. Let h(v) = -v**3 + 2*v**2 - v + 2. Calculate 2*b(q) - 9*h(q).\nAnswer: q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.236 - -1.704. Let w = 0.06 + t. Which is the second biggest value? (a) -1 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 0.4, 2\/7, -0.198, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*l - 368 = 203*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/13 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 14*q**2 + 13*q + 10. Let p be o(-8). Let w = p - 34. Solve 0 = -5*b + 15 - w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 17 - (0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + q**2. Let d(n) = n**3. Give 4*d(a) + l(a).\nAnswer: 2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 + -194. Suppose -4*x + 5*h = -107, -x + h + 35 = -3*h. Suppose -y - x = -o - 3*y, -2*o + 14 = -4*y. What is the highest common divisor of o and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(35))\/sqrt(7) + -6*-6*(sqrt(45))**2)*4.\nAnswer: -8*sqrt(5) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2736845621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657786417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + m**3)*(m + 0*m + m)*(-412 - 489 + 227).\nAnswer: -2696*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:33 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b**2 - 19*b + 60. Let r(i) = -2*i + 2*i - 3*i**2 + i - 7*i + 20. Let m(d) = 4*o(d) - 11*r(d). Let y be m(10). Solve 0 = -0*x + 4*x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230000358339+0.2\nAnswer: -230000358338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408280587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232 - -252. Let 28 + 17 - 9*a**2 - v*a + 18 - 3 + 4*a**2 = 0. Calculate a.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*w**2 - 3097 + 3097 + (w - w + 3*w**2)*(0 - 1 + 2) to u*w**2 + b*w + h and give u.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 628*v**3 - 1920*v**2 + 16*v + 2560.\nAnswer: 4*(v - 2)**2*(v + 1)*(v + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 8 in descending order.\nAnswer: 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 4*j - 4*j + (-2*j + 3 - 3)*(j - 2*j**2 - j) + ((-32 + 13*j + 32)*(-4 + 4 - 2*j) + 4*j**2 + 0*j**2 - 2*j**2)*(7*j - 6*j + 6*j)*(1 - 4 + 2).\nAnswer: 170*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = -z. Sort -1, 4, 5, z in decreasing order.\nAnswer: 5, 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 242*g - 8 + 242*g - 10.\nAnswer: 2*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3405134, 4, 0.\nAnswer: 0, 4, 3405134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161.691 + 162.5. Let t = 1.01 - d. Round t to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5112359 is divided by 83?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 547 - 473. Suppose -94*b = -z*b. Factor b - 2\/7*y**2 + 4\/7*y.\nAnswer: -2*y*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-8 - (-25236)\/3150).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*f - 3637256 - 1793120. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y**3 + 3*y**2 + y**3 + 7 + 0*y**2 + y - 4*y**2. Suppose -2*k = -5*k. Give h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -16\/11, 0.2, 3, 16\/189?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-24417248.\nAnswer: 21975523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 503800714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 - o - 13*o**3 + 4*o**4 + o**4 + 6*o**2 + 26*o**3 - 2*o**4 to the form v*o**4 + p + m*o + d*o**2 + r*o**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3128 - 0.0783. What is d rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 6. Suppose 0 = 5*d + x - 0*x + 34, a*d - 5*x = 2. What is the tens digit of (-90 + 3)*2\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17f (base 16) to base 14.\nAnswer: 1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 - 870 + 866 - 9*c - 2*c**2. Let s be g(-4). Let q = -3\/2 - s. Is -2 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21609 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*k = -2*k + 12, 0 = -f + 5*k - 15. Solve -3*m - 4*u - 12 = -1, f = 3*m - u - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12176 is divided by 2324?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 - 2. Let v(q) be the first derivative of 6*q**3 - q**2\/2 + q + 121. What is the lowest common multiple of v(j) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 y, and 1 n when four letters picked without replacement from nnznyyyyyynnyyynyn?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1197*h + 1205*h + 5)*(-3*h + 84 - 84) in the form p + u*h + m*h**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*z - 0*z. Let h be ((-5)\/10)\/(1\/z). Suppose 5*d - y - 275 = h*y, 5*y = -5*d + 305. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 2\/(-4)*0 + 6 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i. Let a(r) be the first derivative of r**3\/2 - 6*r + 8. Let q(n) be the first derivative of a(n). Determine q(v(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 7*y**2 - 6*y + 2. Let j be u(-6). What is the highest common factor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/8))\/t*t)**(-18)*t**(-15)\/(t*t**(-1\/10)) assuming t is positive.\nAnswer: t**(-723\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -1 - 5*(sqrt(3)*1 + sqrt(3)).\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -4.5. Let b = -2.9 + a. Let f be (-1 - 0) + 9\/(-4). Put -0.4, b, f in ascending order.\nAnswer: b, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210131 (base 5) in base 11?\nAnswer: 5218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, b: 1, n: 1}. Give prob of sequence ene.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 2*t, -2*x = t - 15 + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*(f\/(f**(5\/4)*f))\/f)\/(f*(f**(3\/2)\/f)\/f*f*(f\/(f\/f**(-1\/7))*f)\/f) assuming f is positive.\nAnswer: f**(-325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 8 - 0. What is g rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63374.15 centuries to millennia.\nAnswer: 6337.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21216, 42427, 63636, 84843?\nAnswer: 106048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 <= 10408503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 143 = -173. Calculate the remainder when w is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.8 < 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -u - 6, j - 4*u = -u - 6. Suppose -7*l + j = -11. Suppose -7*v - 5 = -l*v. Let h(x) = -2*x. What is h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 126*y + 128 = 0.\nAnswer: -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010200 (base 3) to base 13.\nAnswer: -944a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*x + 15 + 2 = 0, 5*n + 25 = 4*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2\/(-28) + 1270\/14. Let w = s - 87. Solve 5*d + w = 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1964890 and 14736675.\nAnswer: 29473350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 115, 151?\n\"Answer: 36*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-17)\/(-2))\/(3\/6) and 5?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**4 - 38*c + 38*c)*(-8 + 5 - 1) to u + k*c**2 + i*c**4 + f*c**3 + p*c and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/14)\/(u*u**(-3\/2)) assuming u is positive.\nAnswer: u**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4002*j**2 - 6*j + 4. Let g be a(2). Round g to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2335)\/(-10395) + 14\/63. Let r = m - 15269\/16632. Calculate the common denominator of r and 71\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4023225075.9999614 + 4023225502. Let z = l - 426. Round z to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42813300.\nAnswer: 2, 3, 5, 142711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1959*m**2 - 210*m + 1002961 with respect to m.\nAnswer: 3918*m - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -m - 9, -741*o + 738*o = 5*m + 45 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 833.5 and 2583381.\nAnswer: 2584214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 2*d + 1. Let p be j(2). Let k(c) = -11*c**3 - c + 1. Let y be k(p). Let h = y - -17. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 2, -0.61, 17, -4, 8730\/13?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4623, -37234, -125743, -298098, -582247, -1006138?\nAnswer: -1597719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14 - 9*l**2 - 6*l**2 - 3*l + 16*l**2 - 3*l. Let g be c(-2). Suppose -4*i - 109 = -n, -g*n = -5*i + 2*i - 203. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3444312471 to three dps.\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2113*h - 44036. Calculate b(21).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-24)\/168).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 2*q - 2. Suppose 12*f - 4*h + 11 = 7*f, 0 = -5*f + h + 1. What is x(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.84 + -8. Let q = w + 0.26. What is the nearest to q in -1\/2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -30124332?\nAnswer: 30124131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-3 - 0)) + 23. Suppose 4*a + i + 0 = 0. Let b = 1 - 4. Sort b, 5, a in increasing order.\nAnswer: a, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x + 8. Let k(s) = s**2 + s - 2. Let w be k(1). Calculate p(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 194*k**2 - 399*k**2 + 193*k**2 - 94.\nAnswer: -12*k**2 - k - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327.2 - 327. Let p = -24 + 11. Let r = p - -18. Put 0, n, r in descending order.\nAnswer: r, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637*h - 86412 = 56007 for h.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1271\/1110 + 4\/185. Let b(d) be the second derivative of -1\/4*d**5 + 0 + 3\/4*d**4 + d**2 + d - n*d**3 + 1\/30*d**6. Factor b(w).\nAnswer: (w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(25 + 660\/(-40)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2829, 5659, 8489, 11319, 14149, 16979?\n\"Answer: 2830*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(2\/61)))*c*c\/c**(1\/26))**(-20) assuming c is positive.\nAnswer: c**(-47490\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2086 - 1362.5. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-27) + (-93)\/(-9). Suppose m*s - 7*s + 144956 = 0. Let u = s - -11239. What is u rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s - 377. Let w be o(19). Let d(c) = -c**3 + 2*c**2 + 6*c - 2. Calculate d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -44) + (1 - -3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 t when four letters picked without replacement from {z: 6, t: 3, w: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249*f**2 + 13519*f + 13512806?\nAnswer: -498*f + 13519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 2. Let s(v) = v + 5. Let u(z) = z + 4. Let h(a) = -3*s(a) + 4*u(a). Let k be 651\/248 - (6\/(-16) + 0). Give k*h(c) - t(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 + -2 + -2 + 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u - 5. Suppose 0 = -5*q + 4*f + 291, 4*f - 122 = -26*q + 24*q. What is the remainder when z(12) is divided by q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/24 + -2)\/(3\/12). Let q = -12 + 17. Sort 4, q, t in decreasing order.\nAnswer: q, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844334316 to the power of 1\/2, to the nearest integer?\nAnswer: 29057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 869*o**4\/12 + 71*o**3\/6 - 3*o**2\/2 - 620*o. What is the second derivative of p(r) wrt r?\nAnswer: 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(13)) - sqrt(468)*-1)**2.\nAnswer: 240*sqrt(13) + 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1220344?\nAnswer: -1220351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014389 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 + 3. Let b(j) = -3*j**3 - 3*j**2 + 3. Let x(p) = p**4 - 3*p**3 - 4*p**2 + 4. Let i(a) = w*x(a) + 4*b(a). Factor i(m).\nAnswer: -3*m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*h + 24, v = 5*v + 4*h + 8. Solve l = -2*l + 5*x, 22 = -v*l - 4*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2820350 - 4*n - 2820350 + 5*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 3. Let w be t(-2). Let p = w - -3. Suppose 12 = m + 3*c, 0 = p*m + 3*c - 25 - 32. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 3*y**2 + 1 + y**2 - y. Suppose 3*w = 5*z - 24, 0 = 4*z + w - 19 - 7. Let t be z\/(-21) + 9\/7. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let q(n) = n + 4. Suppose -4 = -0*f + 2*f. Let h be q(f). Let r be z(h). Solve -r*u = -3*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfffkffffkfff. Give prob of sequence ffkf.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p**3*x**2 - 25665*p**3 - 6*p*x**2 + 20228*x**2 - 2*x wrt p.\nAnswer: -96*p*x**2 - 153990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/21)*t*t*t)**(5\/8))**29 assuming t is positive.\nAnswer: t**(5945\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-35 + 43 + (-11 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (42 - (-1 - -21) - 19 - -91).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**4 + 292255*g**3 - 247414?\nAnswer: -12*g**3 + 876765*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -2*h, -3 = -5*q + 2*h. Calculate the remainder when 3\/(-1) - ((-27 - q) + 2) is divided by (-2 + -20)*(-3)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbu when three letters picked without replacement from tttttbhtttsustttttst?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - m - 2. Let w(t) = -1089*t**5 + 12*t**2 - 8*t + 252. Let u(i) = 6*n(i) - w(i). What is the second derivative of u(s) wrt s?\nAnswer: 21780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 0.3, 1, 2\/359, -5, 359.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99934*r*u**2 - 23*r - 28*u**2 + 125891 wrt u?\nAnswer: -199868*r*u - 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24720 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l*l\/(l*l**(-1\/6))))**38*((l**(2\/3)*l)**(-7))**(-2\/67) assuming l is positive.\nAnswer: l**(-13131\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2.2, 20562, -1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20145, 20147, 20149?\n\"Answer: 2*r + 20143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13472, -13753, -14036, -14321, -14608, -14897?\nAnswer: -15188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*21\/(588\/(-154))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -0.05415 (c) 60.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 551360509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4266 = -7*f + 15725. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -43*v**2 + 2*v - 9. Let y be l(2). What is the least common multiple of 6\/(-16) - (-3 + y\/24) and 139?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2\/3)\/2*((-207584)\/2288 - -91)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h = -5*h. Let l be (9\/12)\/((-2)\/(-4)). Determine x so that -3\/2*x**3 + h + 3*x + l*x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:00 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -10.6. Let b = 0.1 - -0.3. Let y = b + v. Which is bigger: -1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7495 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18415 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 3, a: 4, d: 3, k: 4}. Give prob of picking 1 d and 1 m.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*d - 238*d = 165*d - 7700 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + c - 54 = 0, 5*c - 17 = -h + 13. Suppose 10 = -15*w + 55. Solve w*m + h = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194690627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51907 (base 12) to base 11.\nAnswer: 731a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -26. Let y = s - -37.000014. Round y to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -49*z + 1. Let k(m) = 74*m - 2. Let t be (1\/1 - 0)\/((-28)\/10 + 3). What is t*k(d) + 8*n(d)?\nAnswer: -22*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61424 + -2c?\nAnswer: -61451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 750\/4375*7\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/305, 0.1, 1\/3.\nAnswer: -2\/305, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -62*i + 1020. Calculate x(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -1, 2, -24 in descending order.\nAnswer: 2, -1, -24, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3 + d**2 - 4 + d - 3*d. Let w be t(-1). Let 2*u**2 + u**w - u**2 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 10 - 13 - 21*v**3.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -453*u**2 + 405*u - 9. Let k(o) = -1357*o**2 + 1214*o - 24. Let l(b) = -8*a(b) + 3*k(b). What is the second derivative of l(i) wrt i?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -789 - -835.84. Let w = k + -3.64. Let o = w + -43. What is the closest to o in 0.5, 1, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) + 2*sqrt(264) + sqrt(264))\/sqrt(8))\/sqrt(11) + sqrt(15)\/(sqrt(5)*-3*6))**2.\nAnswer: 5041\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7040 - -304?\nAnswer: -6736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5444 + 5616. Round w to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 4297010*k**2 + 73857093820125*k\/4 + 369286328503125\/2.\nAnswer: (k - 8594025)**2*(k + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 16*u - 21. Calculate the remainder when 112 is divided by v(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -1 + 12 - 3) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -783 greater than or equal to -38322\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -4. Let b = u + -7. Solve -2*z + b - 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -2*1*15\/10. Suppose 3*i + 5*x - 34 = 0, -l = 4*i - x - 2*x. Calculate the least common multiple of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**3 - n**2 + n. Calculate a(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a**2 + 10*a - 1. Let i be h(3). Let b be (4 + -2)\/(i\/22). Let p(f) = -2*f + 12. Determine p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71657232 divided by 6\nAnswer: 11942872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 23\/569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*z - 599, -364 = -5*z + 3*n + 351. Suppose -z + 451 = 5*c. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 26*l**3 + 4*l**2 + 4*l - 19. Let p(c) = c**3 + c**2 + c. Let f(k) = 4*p(k) - u(k). Find the first derivative of f(h) wrt h.\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*g + 3672, 14*o - 11*o - 2745 = -3*g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.53, 0.4, 4 in ascending order.\nAnswer: 0.4, 0.53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 132.9 times -131\nAnswer: -17409.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 268, -2673 in descending order.\nAnswer: 268, 5, 4, -5, -2673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -51*l**2 + 4755*l. Let s(n) = 218*n. Determine y(s(i)).\nAnswer: -2423724*i**2 + 1036590*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.032 - 0.031999785. Round q to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 9 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.96 - 19.86. Let l = -0.3 - 2.1. Let v = l + 0.8. What is the biggest value in -2\/5, v, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2128 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1210*b + 5*b**2 + 5*b**2 + 2 + b**3 + 0 + 1210*b as q*b**3 + m*b + c*b**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f + 5*n, f = 2*n - n + 3. Let z(i) = -13*i**3 - 2. Let b(v) = v**3 - v + 1. Let l(t) = f*b(t) + 2*z(t). What are the prime factors of l(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 16239. Let j(q) = -q. Calculate l(j(g)).\nAnswer: g + 16239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40125618 is divided by 49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3877 - -3873. What is the third biggest value in 1\/4, -2\/5, -2\/139, v, 1?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-16\/7))\/(p*p**(-29)))\/(p**(-5))**(-5\/12))**(-1\/27) assuming p is positive.\nAnswer: p**(-2069\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(104)*5 - -4*sqrt(104)*-1)\/(6*sqrt(72)\/sqrt(225)*5))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -320294, -640752, -961382, -1282190, -1603182, -1924364?\n\"Answer: -m**3 - 80*m**2 - 320211*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 80378485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-1440)\/110) + -12. Let b = 511\/6 - 85. Put b, 1, y in descending order.\nAnswer: 1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*988\/(-114). What is the greatest common factor of m and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + -4 - (1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17462.7085*-0.5.\nAnswer: 8731.35425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18526115 is divided by 746.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 353*i**3 - 50 - 356*i**3 - 2*i + 107*i**4 + 43 to x*i**2 + y*i**4 + q*i + j*i**3 + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + -12 + 8. What is the tens digit of -4 + 7 - -1882 - z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -9 - -4 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336490)\/6555)\/((-66)\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-2)\/(-4)*70\/(-385). Sort 1, n, 5, -45 in ascending order.\nAnswer: -45, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/22 - (-10)\/55. Suppose 0*z - 2 = z, -5*z = 2*o + s. Solve -4*n + a = 21, n = -4*n + o*a - 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.18*20507\nAnswer: 85719.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) + 5\/2. Is s at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/105 + 6\/10. Let r = 11 + -9. Suppose 2*c + r*c = 0. Put -5, g, c, -1 in descending order.\nAnswer: g, c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883122 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3070.683707 - 0.1\nAnswer: -3070.783707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:59 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) - (-3)\/(-18). Suppose 3*j + w = 153. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -1 - 50 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-18) - 49\/252)*40\/(-195)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, -749, -3788, -9707, -19466, -34025, -54344?\nAnswer: -81383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14684*a = -14588*a - 2016 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 + 10*y + 13. What is the tens digit of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2026 (base 7) to base 8.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifss. What is prob of picking 2 s and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 1, a: 3, s: 1, l: 3, w: 3}. Give prob of sequence ly.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 h when four letters picked without replacement from {h: 7, t: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p - 35. Let c = p + 16. Let v(d) = 2*d + 18. Let s be v(c). What is the highest common factor of s and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/230 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378741339814 + -0.027.\nAnswer: -378741339814.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46, 62, 88, 124, 170, 226, 292?\n\"Answer: 5*v**2 + v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-3))\/2*700000\/6. What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125 + 28?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -31, -5, 5 in decreasing order.\nAnswer: 5, 0, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:15 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, -0.4, -1\/3 in increasing order.\nAnswer: -0.4, -1\/3, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 + -79. Let d = -19 + n. Calculate the greatest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.135 + 0.621. Let d = -0.7 - -0.26. Let z = o + d. What is z rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655817 is divided by 8624.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 54*q - 52.\nAnswer: -2*(q + 1)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 18, 0.2, -2\/11, -1 in increasing order.\nAnswer: -1, -2\/11, 0.2, 0.3, 0.4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 36445332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -66, -64, -62, -60?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*n - 5*v, -3 = -2*n - 4*v + 57. Let s = 28 - n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -3. Let x = -382 - -388. Suppose -5*b - 5*r = -5, -4*r - x = 2. Solve -q + z - 2 = -0*z, 4*z = b*q + l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239 divided by 1?\nAnswer: 9239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5957, -11875, -17753, -23591, -29389, -35147?\nAnswer: -40865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -26 + (7 - 31).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-370)*61520\/196864?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/2)*a)**(1\/73)*(a*(a*a**2\/a*a)\/a)**(-14) assuming a is positive.\nAnswer: a**(-6129\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -147*k**3 + k**2 - 4*k - 4. Let x = 4 - 5. What is the tens digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002022 + -21?\nAnswer: -1002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -3. Let f = -5 - -9. Let x = g + f. What is the third smallest value in x, 2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43126214*0.3\nAnswer: -12937864.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2 + 1 + 17\/34). Let g be 5 - 3\/(-9)*3. Suppose -g*t - 28 + 4 = 0. Sort t, h, 0, -3.\nAnswer: t, -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -4\/27, -0.1.\nAnswer: -4\/27, -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3*p - 3, 0 = -5*s - 11*p + 15*p + 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svrvvsrvkzkvszvksstz. Give prob of picking 2 v and 1 s.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 4. Let f(j) be the first derivative of -5*j**3\/3 + 11*j - 8. Give 4*f(q) + 11*y(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20355805589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 3)*(-k**3 + 5*k**3 - 3*k**3) + (-k**2 + 2*k**2 + 0*k**2)*(2*k - 3*k + 0*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55365, 104564, 153763, 202962, 252161?\n\"Answer: 49199*w + 6166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/4 + 39*c + 315 = 0. What is c?\nAnswer: -42, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -8. Calculate the remainder when 261 - 196\/(4 + 10) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*f + 118*f - 26*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9897, 9894, 9883, 9858, 9813, 9742, 9639, 9498?\nAnswer: 9313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/15)\/((-1)\/5). Let p(w) = w + 7. Let h be p(0). Suppose -2*q + 2 = 4*n, 4*q - m = n + h. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/15 (c) 46\/5 (d) -1.4 (e) 4 (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/2 - 0)*(-155 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 4*u. Let o(b) = -b**3 + b**2 + 2*b - 2. Is o(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024461 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - (63 - 74) - (-6 - -26).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 37*k + 128. Let t be f(-40). Let g(y) = -y**3 + 5*y**2 + y. Let j be g(6). Is (-14614)\/j - t\/60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -40*c + 1. Let i be f(8). Let n = i + 1909\/6. Let m = 0.0048 - -1.9952. What is the closest to 0 in m, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(2079\/1170) - (-4)\/(-22). Which is the biggest value? (a) 1\/2 (b) x (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 + 29*t + 21. Let p be d(-4). Let a(s) be the first derivative of s**2\/2 - 5*s + 1. Let c be a(7). Solve -l - 1 = 0, l - 2 + p = c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 0*v + 0*v + 7*v**3 - 13 + 74.\nAnswer: 7*v**3 - 7*v**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1912360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 3. Let a = -24 - -20. What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431505\/51 + 32\/272 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882015 divided by 5?\nAnswer: 176403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 10 = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755975.\nAnswer: 5, 150239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13288 and 4.\nAnswer: -53152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 3*l)*(4 + 1 - 2) + 1 - 3 + l + 0*l.\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fghfpgpffphmgmmg. Give prob of picking 1 f and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/6 (c) 28\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h. Let d(i) = 376*i**2 + 4*i - 8. Let k(x) = 34969*x**2 + 374*x - 748. Let a(w) = -187*d(w) + 2*k(w). What is a(f(y))?\nAnswer: -30294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140051 - -263651. What is y rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**7\/14 - f**6\/5 + 3*f**5\/20 + 27*f. Factor t(p).\nAnswer: 3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*i + 4*z, 2*i - i = -z. Is 4 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 + -214. Let q be 104\/12 - m\/(-15). Solve -q = o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:54 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85.05 + -4827.05. Let g = 4742.03169 + q. Round g to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 + -8 + -11 + (2 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15337 (base 8) in base 16?\nAnswer: -1adf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2379949 divided by 979\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.24 - -12.74. Let z = 199.1 + -199. Let f(y) = -y**2 - 7*y - 2. Let w be f(-6). Which is the closest to d? (a) z (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*o + i, -1 = -i - 6. Let q be ((-4)\/1)\/(2\/(-2)). Let m be (-1)\/(o - -2)*q. Solve 5*b - 40 = -5*a, 0 = m*b + 3*a + 2*a - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 20319370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 109 = -5*q, 127 - 36 = 4*q + 3*p. Let h = q + -15. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130660017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**4 + v**3 - 5*v**3 + 1031*v - 1032*v - 15*v**3 to a + n*v + d*v**4 + f*v**2 + c*v**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 1 b when three letters picked without replacement from {o: 2, z: 1, b: 1, d: 1, r: 1, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3601*r**2 - 11*r - 748. Let d(p) = 14417*p**2 + 50*p + 2992. Let o(j) = -4*d(j) - 18*t(j). Find the second derivative of o(h) wrt h.\nAnswer: 14300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70401557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46077 is divided by 45959.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (876\/54)\/((-2)\/(-3)) and -45\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11206.\nAnswer: 2, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 3*l**2 - 5*l + 1. Let w be n(4). Let j(r) = 2*r**2 + 4*r + 1. Let z be j(w). Calculate the greatest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 1:21 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/96)\/((52\/120)\/(-13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1\/10*x**3 - 1\/300*x**5 + 1\/60*x**4 + 0 - 199*x**2 + 0*x. Suppose c(v) = 0. What is v?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373.4308 times -1.5?\nAnswer: 560.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 47*z + 23*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1770, 1771, 1772, 1773, 1774, 1775?\n\"Answer: p + 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 2588 (c) -1 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 = p. Let u(y) = -y**3 - 2*y**2 - 2*y + 2. Let m(n) = -n**3 - 3*n**2 - 3*n + 3. Give p*u(z) + 2*m(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1911*o**5 + 957*o**5 - 196*o**2 + 8*o**6 + 959*o**5 wrt o?\nAnswer: 960*o**3 + 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(3 + (-77)\/14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-24)\/(-32)*(-4)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1777*f**7\/210 + 59*f**4\/6 + 1844*f**2. What is the second derivative of q(n) wrt n?\nAnswer: -21324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 15. Let f be n(-23). Suppose -5*k + 0*m = -3*m - 18, 4*m = k - 7. Solve -k*y - f = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w - 6. Suppose 2*i = 8 + 2. Suppose -21 = -4*j + p + 7, 0 = -i*j + 2*p + 38. What is the tens digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 29*b**2 + b + 89. Let n be t(-29). Which is greater: n or 58?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 36 = -18*y. What is the remainder when 149 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 - (-10 + 5 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**7*o*o))*o)**(4\/15)\/(o**(-16))**(2\/49) assuming o is positive.\nAnswer: o**(488\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:37 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -65, -199, -459, -887?\n\"Answer: -7*w**3 - w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -19*p**3\/6 + 29*p**2\/2 - 7*p. Suppose 3*q + 4*l = -5, 4*q + 0*q = 2*l - 36. What is the units digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r - 1. Let l(o) = -161*o - 140*o + 451*o - 151*o. Let p = 1 - -3. Suppose -3*q + 5 = 2*b, -p*b = 4*q - 3*b. Determine q*a(t) + 5*l(t).\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 at most 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -545 (base 6) to base 9\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781122 is divided by 1780835?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/8, 2\/3955, -0.06, -400 in descending order.\nAnswer: 4, 3\/8, 2\/3955, -0.06, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4223, 8448, 12673, 16898, 21123, 25348?\nAnswer: 29573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 109*k - 746. Calculate a(60).\nAnswer: 2194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k - 2*k**2 + 79 + 1\/4*k**4 + 0*k**3. Determine l so that n(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336471489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -151847 != -151845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767.93 rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 53*a**2 + 29*a**2 - 49*a**2 - 107*a**2 - 71*a**2.\nAnswer: -251*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 2, g: 1, f: 3, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 - 3*b**2 - 16*b + 1. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 143.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 0*s**2 + 86*s + 7*s.\nAnswer: 2*s**2 + 93*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4455 = 13*b. Suppose b = 4*p + 121. Let s = p - 21. What is the highest common factor of 92 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m + 3*y - 32, 0 = 2*m - 3*y - 35. Is (-508)\/(-5) + -3 + 34\/m a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:54 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/30 (c) -1\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**3 - 14*c - 4. Let i(y) = -15*y**3 + 13*y + 3. Let b(d) = 4*i(d) + 3*s(d). What is the second derivative of b(h) wrt h?\nAnswer: -90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17896*k**4 + 21849.\nAnswer: 71584*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 5*w**7\/21 + 17*w**6\/15 + 11*w**5\/10 - 13*w**4\/6 - 16*w**3\/3 - 4*w**2 - 18*w. Find z such that m(z) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/((-5)\/15). Let u be b*15\/5 + 7. List the prime factors of u - (4 - (-110)\/(-5)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 36 = 4*y, -43*s + 41*s + 2*y - 12 = 0. Which is the second smallest value? (a) 6 (b) s (c) 2\/9 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.3 (c) -2.9 (d) 0 (e) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 32*p + 4.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffryrfyrrrrfrrrfrf. What is prob of sequence fry?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405 by 848.\nAnswer: -405\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -455, -447, -433, -413, -387, -355, -317?\n\"Answer: 3*y**2 - y - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 64 - 40. Let n = -3 + 5. Which is the biggest value? (a) n (b) 5\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 14*g**2 - 16. Give m(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 + p + 2. Let o be (-188)\/16 + 2\/(-8). Let z be o*((-5)\/2)\/5. Let y = z - 1. Give t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -m - 12, 4*m - 13 = -4*g - 45. What is the units digit of 0 - m - (-44)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 25, 83, 181, 325?\n\"Answer: m**3 + 11*m**2 - 16*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = o + 36 - 24, o - 2 = -5*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3882*v**3 + 3*v**2 + 27. Let k be x(-7). Let a = -4248648 + k. What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + 1.04.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-5)*3)\/((-1)\/20). Suppose -d + s = -l - 5*d, d = 4*l - 3. Let x(u) = l + 40 + 24 + 2*u + 2. Let a(j) = j**2. Determine x(a(m)).\nAnswer: 2*m**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1410986 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-945))\/(4\/42).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0.12.\nAnswer: -20.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*a = -208*a - 4*c + 11, 0 = -13*a - 2*c + 73 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 282582*m - 282579.\nAnswer: -3*(m - 94193)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*f - 6, f + 2*f - 9 = -2*u. Which is the second smallest value? (a) -1\/7 (b) -0.14 (c) u (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tct when three letters picked without replacement from tqcvt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r + 2*j, 4*j = 3*r + 7. Suppose 0*x - 2*x = 224. Let b = 1230\/11 + x. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12397 + -12394. Let d(l) be the first derivative of 6\/7*l - 9 + 5\/14*l**2 - 1\/21*l**s. Solve d(a) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -6)*(-14)\/(-6). Is m equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = 54. Let d = 42 - w. Calculate the remainder when 40 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5902, 23596, 53078, 94348, 147406, 212252?\nAnswer: 288886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-175)\/(-2*1\/4). Let m = -191 + k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h - 6 + 2*h + 3*h. Let s = 14 + -6. Let v = 2 - s. Let w(y) = -y + 1. Determine v*w(l) - q(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*v**4*x**2 - v**4*x - 510*v**3 - 57*v**2*x**2 + 2*v**2 + x**2 + 7 wrt v.\nAnswer: -168*v*x**2 - 24*v*x - 3060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n = -5*n. Solve n = -3*d - 7 - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from sjrrrjj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5)**45*j\/(j\/(j\/(j*j**12)))*j**(5\/2) assuming j is positive.\nAnswer: j**(521\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14891530?\nAnswer: 2, 5, 1489153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 20624900 to the nearest one hundred thousand.\nAnswer: 20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/5 + 8*(-12)\/240?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9c5 + 7?\nAnswer: a9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.6 - -4.1?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 - -34848.45?\nAnswer: 34095.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26, -3, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71)\/((-6248)\/330))\/(6\/(-32)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003698 rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4))**40\/(g*g\/g**(-1\/7)*g**(-9)) assuming g is positive.\nAnswer: g**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 138*x**5 - 5*x**2 - 2*x - 20. Let j(n) = -69*n**5 + 3*n**2 + n + 10. Let y(d) = 5*j(d) + 3*p(d). Find the second derivative of y(f) wrt f.\nAnswer: 1380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2 - 3*a - 4*a - 4 + 10*a**2. Let r be s(-11). Suppose 4*c - 1761 = r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 12*f**2 + 2*f + 7. Calculate h(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amr when three letters picked without replacement from wwawmaewramwamawf.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/55*50\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -6. Does 8 divide -9*(g\/(-6) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 5*g**2\/2 + 9848. Let o(y) = -590*y**2. Calculate o(h(t)).\nAnswer: -14750*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:19 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 + -318 + -1 + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + -9 + (4 - 2) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 - 9 = 0. Let y(a) be the third derivative of -2\/15*a**5 - a**2 - 1\/12*a**4 + 0*a + 0*a**3 + 0 - 1\/15*a**v. Solve y(j) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 77. What is v(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-41 - -28) + 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7*d + 10. Let f(u) = -u + 3. What are the prime factors of f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 1476 = -1623 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.6 (b) -1\/59 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -484*g**2 + 972*g**2 - 483*g**2. Let l(o) = -35*o**2. What is y(l(h))?\nAnswer: 6125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 19 + 10 + 6*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11435633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 42*y**3 - 4*y - 46*y**2 + 33*y**2 + 15*y**2 - 4*y + 4 as p*y**2 + t*y + r*y**3 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 41 = -36. Suppose -12 = 11*j - 15*j. What is the tens digit of n - 60\/(-1 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(12) - (sqrt(432) + 0))*-5)**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.009 - -0.009. Sort -5\/2, -4, y, -1\/2 in ascending order.\nAnswer: -4, -5\/2, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - -2 - ((-1)\/15)\/((-8)\/402) and 23\/61.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 take away 8.27296105277?\nAnswer: -387.27296105277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -6) + (86 - 1).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322213511 - -245.6.\nAnswer: -322213265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.184 plus -0.4?\nAnswer: 112.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5890126659 less than -0.02?\nAnswer: 0.5690126659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(((-6)\/(-120))\/(10\/(-25))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**17)*u)\/(((u\/u**22)\/u)\/u) assuming u is positive.\nAnswer: u**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292447 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:35 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3860.668ml to litres.\nAnswer: 3.860668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1552.153 hours?\nAnswer: 5587750800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 2*s**2 + 4*s**2)*(-4*s + 6*s - 4*s)*(-s - 10*s + s).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**3\/3 - 1. Suppose -g - 11 = -4*w, 0 = 3*w - g - 6 - 2. Let k(z) = 12 + w - 2*z - 15. Determine b(k(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/676, -0.3, -1075, 5, 0 in descending order.\nAnswer: 5, 7\/676, 0, -0.3, -1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 5*f. Suppose -f*o = o. Let w be (6 - 6)\/(1 + o). Solve w - 2 = 2*v - 2*d, -20 = -4*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 1, u: 1, g: 1, i: 1, l: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 5)*(-1 + 21\/6). Let y(l) = -4*l - 49. Let x be y(w). Solve 2*k + 1 - x = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/12461?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426 = -93*j - 1449 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/23 (b) -1 (c) -0.5 (d) 611 (e) 54.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, d: 12}. Give prob of picking 1 r and 1 d.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-14)\/176)*(1160\/(-48))\/145\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27746.\nAnswer: 2, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-5*g**3 + 3*g**3 - 3*g**3).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1046973 divided by -7\nAnswer: -1046973\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 5 (b) 5\/6 (c) -1.2 (d) 4\/5 (e) 14.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364949 and 2412.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjrrjrajrj. What is prob of sequence arvj?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/69*-1*4\/32?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 78. Let a = c - -10. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1542*a + 64713. Give m(-42).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212011121012020 (base 3) to base 13\nAnswer: 2721a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 8 - 0) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 46*k = -51*k + 18, -12 = -3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 - (8\/(-10) - -1 - 8204\/20) is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -76. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1172 and 312.\nAnswer: 91416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 + 444 - 863)*((5 - 4 - 3)*(0 + 1 - 2) + 8 + 1 - 4)*(6*h**2 - h**2 - 4*h**2).\nAnswer: -1141*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*236\/(-649)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 1, -23, -261, 2 in decreasing order.\nAnswer: 3, 2, 1, -9, -23, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 6*t**2 - t + 4. Calculate i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -16. Let g = p - -29. Suppose -g*w + 5*q + 35 = 0, 4*w - 57 = -q - 4. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 80. Let w(i) = 24615*i. Give n(w(c)).\nAnswer: 605898225*c**2 - 172305*c + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 7\nAnswer: -37\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 2. Suppose 4*q + 0*v = v + b, -2*v - 8 = 0. Suppose 5*d + q = 21. Solve -3*a - 2 = 4*s - 22, d*s - 4*a = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, r: 5}. Give prob of picking 2 f.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/32)*k)\/k)**(-46)*(k**(-4\/5)*k)**(1\/7) assuming k is positive.\nAnswer: k**(-789\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 37085*p - 556243. Determine x(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.1. Let o = 0 - -4. Suppose -3*u - 5 = -o*c, 4*c + 4*u + 4 = 44. What is the closest to 2\/3 in c, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 bigger than 533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kezfzrfzezfz. What is prob of picking 1 e and 1 z?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -916*d - 341. Is s(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55033 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - 3 - (-62 - -62).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fynyfannna.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j**(-2\/3)\/j)\/j))\/j)\/j*j\/j**(1\/2)*j**0*j*(j\/((j*j**(-2\/7))\/j*j)*j)\/j assuming j is positive.\nAnswer: j**(187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-7*m + 10*m - 2*m)*(0*m**2 + 0*m**2 + 2*m**2).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*202304.\nAnswer: 60691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3, -1, -65, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*f + 26, -3*z = z + 4*f - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 5*y + 3*d, 4*y - 359 = 5*d - 0*d. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -30, -2, 50, 132, 250, 410?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*q + 4*u, q + u - 22 = -q. Let c be (-12728)\/(-20) + (-4)\/q. Let v = c - 445. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8699480 is divided by 1078?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*q - 117*q + 10360. What are the prime factors of q?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -105.944. Let o = 59.056 + l. Let b = -59 + o. Sort b, 2, 0.1, -2\/3.\nAnswer: -2\/3, b, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3810*i - 22863. What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1, -34, 27 in descending order.\nAnswer: 27, 1, 0, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 436085 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, d: 6}. What is prob of picking 3 d?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -147853, -591426, -1330725, -2365756, -3696525?\n\"Answer: -l**3 - 147857*l**2 + 5*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 7) to base 5\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 12. Let k be m\/(-1) - (-2 + -5). Suppose k*b = -0*i - 5*i + 23, -4*i - 2*b + 22 = 0. Solve 4*j + 27 = i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Suppose -3*f + 49 + 2952 = r*s, 3*s - 5*f = 2229. Suppose 0 = 4*v + j - s - 37, 4*v = 3*j + 781. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20240, 37558, 54876?\n\"Answer: 17318*f + 2922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 7, 2, -32, 3322, -4 in increasing order.\nAnswer: -32, -4, -3, -2, 2, 7, 3322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 620*w**4 - 2246*w + 14103483 wrt w.\nAnswer: 2480*w**3 - 2246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*i - 14542 + 19559 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -135136351 (base 7) to base 3\nAnswer: -121122121211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*-5*(0 + -1 + sqrt(1900)) + -5)**2.\nAnswer: 190000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = -3*h + h, -5*n = -3*h + 9. Let b be (3 + 85\/(-15))*-15. Suppose 0 = d - 3*q - 46, b = h*d + 2*q - 54. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1)*d*d**(2\/21))\/(d**0)**(-1) assuming d is positive.\nAnswer: d**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 5880*m**2 - 17705*m - 23580.\nAnswer: 5*(m - 4)*(m + 1)*(m + 1179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = n + 8, -2*n - x + 4*x = -10. What are the prime factors of (-222)\/(-10) - n\/10?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1267\/2542 + 2\/1271. Let z = -5 + 9.5. Let p = z - 0.5. What is the nearest to 0.1 in 3, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. Suppose -7 = 5*h - 2*j - o*j, j - 5 = 4*h. Which is the closest to -3? (a) -0.2 (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x + 21. Let l(h) = -h**3 - 13*h**2 - 6*h - 78. Let c be l(-13). Give d(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:04 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1180 - 1173. Solve -24 = 4*d + 45*l - 41*l, 2*l = 3*d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 0 + (1 - -4) + -4. Let a(x) = -x**3 + 2*x**2 + 16*x + 14. Let l be a(r). Which is greater: -10\/151 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j. Suppose 6 = 7*m - 4*m. Let b(p) = 11*p**2 + 4*p**m - 16*p**2. Calculate b(y(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -617, 2, 4 in increasing order.\nAnswer: -617, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-25) + 4491\/5. Suppose 22*k + 283 = l. Solve -2*s + 5*a = -5, 5*s - 4*a - k = -7*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -c + 24. Suppose 5054 = 2*b - f, 5*b + c*f - 12635 = -f. Suppose 4*w = q - 1271, -q + b = q - 3*w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30491178 at least as big as -30491177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggggggfdg. Give prob of picking 2 f.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - 2b6?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 20 (c) 10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18100, 36202, 54304, 72406, 90508?\n\"Answer: 18102*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, 1\/6, 223, -1\/89, 2\/7.\nAnswer: -1, -1\/89, 1\/6, 2\/7, 1\/3, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-25)\/30)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 70 = -65. Suppose -6*x = -4*x - 6. What are the prime factors of c\/(-1) + x + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.732 from -5736.41.\nAnswer: -5737.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 6*f. Solve 3*r - r - 10 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174, -342, -510, -678?\n\"Answer: -168*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22461 + 40803422027.\nAnswer: 40803399566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-240)\/64 + 1\/(-4) - -4. Solve -3*r + 2 = 4*j - r, -r - 5 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -424290 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 + 2*c - 2. Let h be 160\/(-6)*(-66)\/(-55). Let d be 4\/1 + h\/16. Let n be r(d). Let f(a) = a**3 - 6*a**2 - a + 3. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 1. Let g(n) = 4*n**2 + 8*n + 2. Let a(s) = -g(s) - 5*h(s). Let d be a(6). Let k = d - -16. Solve 0*b = j + 2*b - k, 2*b + 2 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**3 + 2*o**4 - 2*o + 2*o**2 + 9*o**3 + 4*o - o**4 to d + g*o**3 + m*o**2 + q*o**4 + l*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11330 (base 8) to base 16.\nAnswer: -12d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(15 - 18) + 1 + 2901. Is 2909 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 92.74922 nanograms?\nAnswer: 0.00000009274922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 3, b: 1, u: 5}. Give prob of sequence ubdu.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88.7 and 3.3.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*z + 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513163348 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 6\/5 (c) 22 (d) -44 (e) -21 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8533646?\nAnswer: 2, 11, 179, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025231682.\nAnswer: 2, 14533, 69677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwvvvvvwwvvvvvvvvvv. What is prob of picking 1 w and 1 v?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/847111 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(64) + sqrt(64)\/sqrt(4))\/(6*sqrt(98)*-2).\nAnswer: 5*sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 times -0.166?\nAnswer: -20.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c76 (base 16) to base 8.\nAnswer: -76166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*s + 5 + 3, 5*s = -3*k + 6. Let q be (4*k\/(-20))\/(6\/(-5)). Which is the nearest to q? (a) 0.3 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18 - 17 - 7*u - 2*u + 44. Suppose 2*s + 2 + 6 = 0. Let t(n) = 5*n - 5. Suppose -5*w - 26 = -w - b, 2*w = -5*b - 24. Calculate s*x(h) + w*t(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-25))\/(4\/(-10)). Suppose 0 = -4*u + d*u. Let l = -9006\/7 + 1286. Put -5, l, u in decreasing order.\nAnswer: u, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let u be (-315)\/(-309) - 1\/1. Let l = u - 212\/309. Is l < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5037870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from kmmddmmdmmmrxmd.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 36*j**2 + 67*j + 142. Is 12 a factor of a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18846 + -38?\nAnswer: -18885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2.031, -3\/8, -0.5?\nAnswer: -2.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -1.\nAnswer: -17, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -105. Let a = q + -91. Let w = 40 + a. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 2\/3*x**3 + 1\/10*x**5 + 43*x + 1\/2*x**4 + 0*x**2 + 0. Find b such that a(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 4. Let c(y) = -y**3 - 23*y**2 + 9*y + 159. Let g be c(-17). Calculate the remainder when b(5) is divided by ((-2)\/(-4))\/((-72)\/g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1480*i + 699*i + 656*i - 12500 for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/556960 and 99\/5140.\nAnswer: 143138720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 319660, 639319, 958978?\n\"Answer: 319659*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -363.328602 and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (0 - -4) - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 5853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p - 2. Let s be j(2). Suppose 0 = 5*m + 1197*g - 1193*g - 52, -5*g = -4*m + 17. Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339094.\nAnswer: 2, 7, 53, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93389 - 1024 = 29*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 3*a + 2. What is the remainder when 278 is divided by t(6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149652*a**2 + 10 - 149640*a**2 - 10.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 769 = -654. Which is the nearest to 1? (a) 0.3 (b) 4 (c) 0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**1*v**4*v**7\/v**(-4) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 - 11*w - 14. Let l = -104 + 100. Let i(g) = 2*g**2 + 1. Let z(b) = l*i(b) + h(b). What is x in z(x) = 0?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*n - 894 - 393. What is the closest to n in 3, 0.2, 1\/4, 56?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7936851.4 rounded to the nearest ten thousand?\nAnswer: -7940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2054823612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1052)\/(-48) - (-121)\/1452.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 - 2. Let o be u(-2). Let f(y) = y**2 - 20*y + 63. Let g be f(16). Put -3, g, o in increasing order.\nAnswer: -3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**6\/60 - y**5\/60 - y**4\/12 - y**3 + 6. Let h(b) be the third derivative of l(b). Is h(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 26*s - 13. Let o(u) = -9*u + 4. What is 2*d(l) + 7*o(l)?\nAnswer: -11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {k: 2, x: 4, l: 7, f: 2, q: 4, w: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (14 + (-10)\/2 + -6 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p**2 - p + (-2*p + 3*p - 3*p)*(p + 3*p - 6*p) + 2*p**2 - 3*p + 3*p + p - 2*p**2 - p)*(1 + 5 - 4 + (11 - 6 + 15)*(-3 - 3 + 4)) + 2*p**2 + p - p.\nAnswer: -112*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(-7)*2\/1. Suppose -r*w - 5*y + 4 = -16*w, -5*y = 3*w - 19. Let k(b) = -2*b - 2. Let m(z) = 3*z + 1. What is w*k(j) + 4*m(j)?\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) -2\/7 (b) 1\/6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 17\/2 (c) 2\/145 (d) 0 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**2. Let q(j) = -9538513*j. What is o(q(c))?\nAnswer: -1000815532762859*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5125, -10264, -15389, -20494, -25573?\n\"Answer: x**3 + x**2 - 5149*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 10995*b**2 + 6016920*b + 30360100.\nAnswer: 5*(b - 1102)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.5423 millilitres to litres.\nAnswer: 0.0535423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z - 4*w, -w - 7 = -2*z - 2. Is (4 - z)*(27 + -1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 3 + 3 - (sqrt(320) + ((sqrt(320) - (0 + sqrt(320))) + sqrt(320) + sqrt(320))**2).\nAnswer: -1274 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448))\/(sqrt(100)*5) + -5.\nAnswer: -5 - 12*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (494 - 1969 + 155)*(-2*u + 3*u - 2*u) in the form b*u + z and give b.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/6)\/((-12)\/72). Suppose 5*c + 1 = -129. Let a = j - c. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/11 + 406102*m**4\/11 + 32497760*m**3\/11 + 650019200*m**2\/11 = 0?\nAnswer: -40, 0, 203131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.24, -5\/6, 3.6151?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001382 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4683.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.89 + 0.19. Let z = -0.078 + -5.622. Let g = z - i. What is the smallest value in g, -10, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10670*d*h*x**3 - d*h*x - 2*d*x**3 + 195*d*x**2 - 3*d*x + h**2*x - 5 with respect to h.\nAnswer: 10670*d*x**3 - d*x + 2*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:30 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232*f*k**2*u**3 + 15*f*k*u**3 - 5*f*u**2 - 125*k**2*u**2 + k**2*u - 17*k*u**3 wrt k?\nAnswer: -464*f*u**3 - 250*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 + 355. List the prime factors of c.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(28) - (1 + sqrt(28) - sqrt(28))))**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562 + -3?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 25*y**2 - 2*y - 13. Calculate q(3).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - -1) + 77 + -21 + -54 - 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3640*z**3 - z**2 + 9*z - 20. Let d be o(2). Suppose -21*s = d + 4843. What is s rounded to the nearest ten?\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 12*o. Let i be m(-8). Suppose i = -116*a + 120*a. Calculate the remainder when (-56)\/(-2) + 0\/(-1) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23482 - 13847. Let c = l + -4866. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 3. Let i be z(3). Let l = -95 + 120. Suppose -i*h - 5*v = 2*h - l, v = -5*h + 17. Solve 5*k - 5*t = -25, -25 = -3*k - 2*t - h*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19951263 * -5.\nAnswer: 99756315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*x - w, 0 - 2 = -w. Suppose -j = -x*j + 231. Let u = j - 55. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6053107?\nAnswer: 83, 233, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68858 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2. Let z be ((-48)\/13)\/(-2) - 8\/(-52). Let w(a) = 78 - 18*a**z - 78. Determine w(m(b)).\nAnswer: -162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1022054)\/(-154) + 4\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1945, 3977, 6009?\n\"Answer: 2032*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 6?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458301 is divided by 187?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/35 (b) -721 (c) -0.1 (d) 160 (e) -5 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 114 = 4*l, -3*s + l = 2*s - 190. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 68*m - 403. Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 11 - (-15 + -6 + 65).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 233 * -38.48197\nAnswer: -8966.29901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from ggggggnvgggggg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/((-12)\/928). Let u = -78 + p. What is the closest to u in 4\/3, 2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3597098852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1. Let d be (2\/(-4) + 1)*0. Let j be d - (0 + 0) - -6. Suppose -6*s + s + 5 = 0. Let b(g) = -g - 8. Calculate j*k(z) + s*b(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2. Suppose 23 = 4*p - m*q, -5*p + 1 = 2*q - 22. Suppose 6 = -p*t + 391. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-12)\/(-78) + (-1290)\/(-65). Let b be (-20 + k)\/((-2)\/(-10)). Let m = -6 - -4. Put 3, b, m, 1 in descending order.\nAnswer: 3, 1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 8*t + 56 = -15*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*k**3*w*z - b**2*w**2 + 3*b**2*w*z + 2*b*k**2*w**2 + b*k**2*w*z - 2*b*w + 10*k**3*w**2*z - k**3*z wrt k?\nAnswer: -6*b**2*w*z + 60*w**2*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-22)*l**8*l)\/(l\/(l**(7\/11)*l)*l*l*l\/(l**(-4\/9)*l)) assuming l is positive.\nAnswer: l**(-1466\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -4 - 5 - (62 + -67).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024653294 to 6 dps.\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-8)\/(-60)*9\/3*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1142 + 1144. Let z = 49\/3 + -15. Determine f, given that 0 + 2\/3*f**3 + 0*f + z*f**y = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 4, e: 3, n: 3, d: 2, o: 1}. Give prob of sequence neoe.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 668.335 decades?\nAnswer: 6683.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 393, 784, 1175, 1566?\n\"Answer: 391*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/5 - 174387*h\/5 - 348778\/5 = 0 for h.\nAnswer: -2, 174389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1976123852 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-4)\/2) - -1. Suppose 0 = 4*b + s*z + 15, z + 5 = -0*b - b. Let g be 2\/(-7) - 4\/(-14). Is g less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/23452 and 66\/325.\nAnswer: 586300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*z - 4. What is the third biggest value in 1, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217636 is divided by 304408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088437087?\nAnswer: 17, 64025711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -5*o**4\/24 + 2350*o**2 - 1. Let u(f) = -f**2 + 4*f. Let l(p) = -p**2 + 3*p. Let j(v) = -4*l(v) + 3*u(v). What is d(j(g))?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by -12.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 117\/7 + (-8)\/(-28). Suppose -3*v + 2 + p = 4*i, 5 = 5*v. Suppose i*g - t = -5*t, -20 = 4*t. Solve 3*z - 5 = j, -z = -j + 4 - g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 4:58 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12)*1) + -2 - ((sqrt(5) - sqrt(20)\/sqrt(16) - sqrt(5)) + 3 + sqrt(80)))*4.\nAnswer: -10*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*o - 8 = j, -5*j = -5*o - 20. Let v = 5 + 0. Let p be 687998\/j - ((-20)\/v)\/8. What is p rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*-1*sqrt(156) + 2*sqrt(156)*-5)\/(3*1*(sqrt(432) + 2*sqrt(432))).\nAnswer: -26*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/63)*p)**23 assuming p is positive.\nAnswer: p**(1472\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**5\/120 - 2*g**3\/3 - 4. Let i(d) be the third derivative of f(d). Let u(y) = -5*y**2 + 0*y**2 + 4*y**2. Determine u(i(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*8*1\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -4, 82 in decreasing order.\nAnswer: 82, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1559\/5 or 311?\nAnswer: 1559\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/4, 0.4, -5.\nAnswer: -5, -1\/4, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(3) + 0 + 1).\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0*x**4 - 5 - 3*x + 0*x**3 + 1\/30*x**6 - 1\/50*x**5 - 1\/105*x**7 + 0*x**2. Factor o(t).\nAnswer: -t**3*(t - 2)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 194959936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64648 and 1032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4303418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11693.7 plus -1?\nAnswer: -11694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -2.5. What is the nearest to -1\/2 in j, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26900623*w**4 + 157889*w**2 - w - 41?\nAnswer: -645614952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -103*b**3 - 14*b**2 - 3*b - 1. Let l be k(14). Let z = l + 19419. What is z rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 926414 - 337841. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13563 (base 7) to base 11.\nAnswer: -2882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3690345 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u + 45. Suppose 7 + u = 4*v - 4*a, -5*v = -3*a - 20. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176.64 and -161.\nAnswer: 28439.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -15. Let i = 665 + -669. Let c be 1\/2 - 10\/i. Solve o + a*h = -2, -o - 5*h - c = -0*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**4 - 18*l**3 + 18*l**2 - 2*l + 3. Let z(t) = 3*t**4 - 17*t**3 + 17*t**2 - 3*t + 2. Let a(v) = 2*w(v) - 3*z(v). Suppose a(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17929 + -17938. Put g, 3, -4, -102 in increasing order.\nAnswer: -102, g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29621301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 4405?\nAnswer: -4405.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6754357050.\nAnswer: 2, 3, 5, 7, 6432721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-10)*8\/(-6). Suppose -a*l = -0*l - 60. Let m be l\/(-56) - 2\/(-7). What is the nearest to m in -0.3, 0, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 12. Suppose -x*n = -0*n - 24. Is 11\/(21\/n + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040 (base 5) to base 8.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 137 - -850\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55943790 divided by 11188758\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Suppose s + 0*o - z*o = 13, 4*s - 28 = -4*o. Suppose -g - g = -s. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b + r, 6*b = b + 3*r + 26. Solve 3*p - 6*p - b*g = -2, p = -3*g + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 3\/10, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309228174 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 2772 = 150*m - 13*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*t + 34 = 0, -3*t - 16 = t. Let v(o) = 100*o**3 - 3*o**2 + o + 1. Let n be v(1). Calculate the highest common factor of n and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q + 45 = 0. Let p(s) = -2*s + 2. Let r(h) = 5*h - 5. Determine q*p(f) + 4*r(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003801605 to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535\/4 + -134. Put -3\/10, 1, -1, b in increasing order.\nAnswer: -1, -3\/10, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 83*b + 1. Let o(n) = -327*n + 1044. Let v(p) = -o(p) - 5*s(p). Determine v(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (30 + 11 + -39)*(-2 + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12362 - -12470. What is the remainder when 8853 is divided by q?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 divided by 123?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + f**2 - 9*f**2 - 9*f**2.\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86215184 divided by -12001.\nAnswer: 7184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1 - 1)*-1)\/1 + 2. Let n(s) = -8*s - 1. Let a be -1*4*(-3)\/(-6). Let x be n(a). Solve -3*c - m*r + 2 = 5, -x = 5*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5114468, 5114781, 5115094, 5115407, 5115720?\nAnswer: 5116033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 - 10*h**3\/3 - 9*h**2\/2 + 2*h - 4. Let j be d(-9). Find the second derivative of -2 + j - 13*a - a**4 + 12*a wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38165 is divided by 1659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k - 86*k = -3266995. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.463 times 181\nAnswer: 83.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9638593*a*r - 22315289*a wrt r.\nAnswer: -9638593*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -c, -3*a - 2*c = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011011001 + -10?\nAnswer: -12011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(55)\/sqrt(5))**2 + -6*sqrt(77)\/sqrt(112).\nAnswer: -7*sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Let z be (20 + p)\/(24\/12). Solve 4*i = 4*q + 23 + 5, 2*q + 4*i = z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/4 - 8*f**3\/3 + 9*f**2 - f + 525. Calculate u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*h + 0 - 2)*(69624 + 58728 - 143824) to x*h + g and give x.\nAnswer: 30944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.2. Let p = i - -2. Which is the closest to 0? (a) -0.1 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (4 - -9))*25. Let y = a - 321. Is y at least as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9622 is divided by 686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*s**2 - 87*f**3 + 9*f**2*s**5 + 2*f**2*s wrt s.\nAnswer: -8*f**3 + 180*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.53 + 16.894. Round c to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11886596 + 11886596 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z. Let d(n) = -n**2 + 7453*n. Calculate y(d(m)).\nAnswer: 10*m**2 - 74530*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1428)\/714*1\/34\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12044104 (base 5) to base 8.\nAnswer: -333424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 0.6. Let z = -1.7 - j. Put 5, -0.2, z in decreasing order.\nAnswer: 5, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y + 1. Let q be w(4). Suppose 3*o**5 - 8*o**4 + q*o**4 + 4*o**4 - 3*o**3 - 9*o**2 = 0. Calculate o.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 45 in ascending order.\nAnswer: -2, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871 + -865. Suppose -h*j + 47 - 17 = 0. Solve -2*y = 2*y - 2*g + 22, -2*y = 5*g + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/7 - -2) + -2. Let a(u) be the first derivative of u**4\/4 + 5*u**3\/3 + 3*u**2\/2 - 4*u - 1. Let c be a(-4). Is s equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9*p - 390. Let h = 856\/11 + p. Let a = 263 + -265. Is a less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433183519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-210))\/(152\/5586*28)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 - 9*i**2 - 19*i**2 + 43*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-8)\/(336\/(-14))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693, 531, 321, 45, -315, -777, -1359, -2079?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Let q(y) = 161*y**2 + 5*y - 10. Calculate -q(d) + 5*t(d).\nAnswer: -161*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 16\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1770, 1807, 1868, 1953, 2062?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254577643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 361*c - 753*c - 5*c**3.\nAnswer: -3*c**3 - 392*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**4 + 0*p**5 + 10\/7*p**7 + 3 + 0*p**2 + 0*p**6 - 2*p**3 + 0*p. What is the third derivative of o(h) wrt h?\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 - 9774*p + 9772 = 0. Calculate p.\nAnswer: 1, 4886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 5. Let r(y) be the third derivative of y**5\/60 - y**4\/4 + y**3 + 2*y**2. Give r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/336389129 and -27\/301?\nAnswer: 2354723903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -52 - -96 - (-10 - 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -5\/11, 4, -0.02, -0.1, 3\/7?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**15*w))\/w**(-2\/11) assuming w is positive.\nAnswer: w**(-163\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4975*j - 797*j - 618*j + 1726*j to the form v*j + b and give v.\nAnswer: 5286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/2 - 68*i**4 - 1287*i**3\/2 - 1307*i**2 + 278*i + 1740 = 0?\nAnswer: -6, -2, 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115886926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 640016 times 0.4\nAnswer: 256006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -80*n - 1270. Calculate b(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 85*k - 3. Determine c(-2).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -27.7. Let t = -9.083 + 9.023. What is the third smallest value in -3, d, t, -3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1131*h - 1131*h - 17*h**5 + (-2*h**5 + 2*h**2 - 2*h**2)*(-1 - 1 + 1) + 1 + 2*h**5 - 1)*(-1 - 1 + 1)*(1 - 2 + 0).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -23*(-41954)\/7 + (-89)\/(-623) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 716739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -3579 - 34\/(374\/(-99)). Calculate the highest common divisor of 260 and u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/11403 and 31\/150641232.\nAnswer: 451923696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -0.008479\nAnswer: 0.391521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least -43\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*q - 3339, -4*d + 4*q = q - 6643. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 426 + 282. What are the prime factors of p?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:02 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.99 - -0.01. Let h be -15*(2 + 2)\/(-12). Let s = -6 - -4. Put a, s, h in increasing order.\nAnswer: s, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45480215 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 28. Let r be 190\/4*u\/(-30). Let q be r\/14 - (-2)\/7. Solve -17 + 2 = q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104066227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*f - h, 0 = 2*f + f - h - 46. Is (f\/4)\/((-1)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425\/(-24) - (18\/(-333) + 0 + 950\/(-2960))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -2*q**6\/15 + 11*q**5\/5 - 8*q**4 - 24*q**3 + 57*q. Suppose t(r) = 0. What is r?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t - 4. Let y(g) = -1. Let r(d) = b(d) - 2*y(d). Calculate r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012120 + 1122021?\nAnswer: 101211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 6*y - 9. Suppose i + 4*s - 5 = 5, y*i - 40 = -2*s. Let x = -14 + i. Solve x = 4*o - 11 - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(6) + -5 + 2)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = 37*i - 594 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*w + 244, -96 = -4*w + 2*w - 2*k. Suppose -4*i + i = -39. Calculate the remainder when w is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 397162231309 and -0.0589?\nAnswer: 397162231309.0589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g + 236. Let u = -166 - g. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -11, -3, 7, 13, 9, -11, -53?\n\"Answer: -f**3 + 10*f**2 - 23*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 1134*z**2 + 20860*z + 19728.\nAnswer: 2*(z + 1)*(z + 18)*(z + 548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1363984 = g, 317*g - 314*g = -2*x + 909341. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 70 = 32. Suppose k - h = -k. What is the common denominator of 37\/12 and 5\/42*k + 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -405 - 9*f + 90 + 183 + 107 + 148 in the form j + v*f and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(2*(1 + sqrt(1539) + 0 + (sqrt(1539) + -3)*5) + 4))**2.\nAnswer: -20736*sqrt(19) + 888767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2505055?\nAnswer: -2505052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o - 3. Suppose -4*t = -o*n + 43, -3*t - 53 = -4*n - 5. Let f = 12 - n. Solve 4*g = 0, 0 = 5*l - 0*g - f*g + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 217, 338, 479, 646, 845, 1082?\n\"Answer: d**3 + d**2 + 97*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 - 2867\/19. Let a = -144 + 149. Let w = -2 - 0. What is the second smallest value in x, w, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**3 + 34*a**4 - 17*a**4 + 4*a**5 + 4*a**2 - 5*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.3, -1525, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10 + 4*j + 0*j**3 - 7 + 8*j + j**3 + 14*j + 12*j**2. Let r be t(-8). Calculate the greatest common divisor of 124 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(0 + (-2*sqrt(500))**2) - ((sqrt(500) - (-1*sqrt(500))**2)*-6 + -4 + 1*sqrt(500))).\nAnswer: 150*sqrt(5) + 27012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 38, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w**3)*(-3*w - 2 + 2 + (-2 + 1 + 3)*(2*w + 0 + 0) + 1 - w - 1 + 1 - 1 - 2*w).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4, 2*m - 10 = -7*p + 3*p. Suppose a = p*a. Let x = 0 + a. Solve -n + 11 = -x*j - 2*j, -5*j - 23 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.667809 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15 - (-2 + 1)\/3. Let t(l) = -3*l - 13. Let n be t(-9). Let i = y + n. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 921510.\nAnswer: 1843020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 6, -20, -66, -138, -242?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*0.0231\nAnswer: -0.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 612*z**2 + 7160*z - 16800.\nAnswer: 4*(z - 2)*(z + 15)*(z + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3805, 74, 0 in increasing order.\nAnswer: 0, 3, 74, 3805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.8. Let v = 45 + -46. Which is the nearest to j? (a) 0.4 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvlvvlvvvfv. What is prob of picking 1 f and 1 v?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 984233 or 984232?\nAnswer: 984233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**3 + d**2 - d - 1. Let f be i(-1). Let v be (1 - 1)*(-5)\/f. Suppose 0 = -v*o - o + 4100000. Round o to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.97524139 to 1 decimal place.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*i - 36*i + 70*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 18. Let y(m) = -m + 7. Let d be y(6). Let h be 17 + 4 + f\/d. Calculate the highest common factor of 95 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -920, -916, -902, -872, -820, -740, -626, -472?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(2\/55)*((p\/(p\/(p\/(p*p\/((p*p\/((p\/p**(2\/11))\/p))\/p)))))\/p*p)\/(p\/p**(-3)) assuming p is positive.\nAnswer: p**(-134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -2450?\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 491.6353 and 273283263.\nAnswer: 273283754.6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 219835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/276 and -107\/1776.\nAnswer: 40848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 + -189. Suppose k*s = 4*s + 2*p - 66, 2*s - 61 = 3*p. Solve 5*m - s + 7 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-1\/13)*p)\/p)\/p**(-8\/7))\/(p**(-2\/57))**(-9\/4))**3 assuming p is positive.\nAnswer: p**(20613\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i = -236. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 61. Suppose 0 = -2*h + 4*c + 3159996, q*h - 4*h + 1580005 = 5*c. Round h to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulxxllllxlxy. What is prob of picking 1 u and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:07 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4752 + 1662. Let c = 6850 + w. What is c rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*(g\/(g*g*g\/(g*g**(-6))))\/g)\/g)\/g)\/g*g*g*g)**12)**(-20\/3) assuming g is positive.\nAnswer: g**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198709 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5670 - 275*f**3 + 5670.\nAnswer: -275*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90892872.\nAnswer: 2, 3, 7, 23, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 83562, -1 in ascending order.\nAnswer: -4, -1, 83562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 1 - 4 + 3 + 3 + 5*f. Let l be s(-7). What is the tens digit of l + (1 - (-3 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 o when three letters picked without replacement from oxoxozxz.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2814612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8383224m to centimeters.\nAnswer: 83.83224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 272691?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1038 - 366. What is the smallest common multiple of 8 and d?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let c be 1048\/(-10)*1*(-15)\/6. Let r = -251 + c. Calculate the highest common factor of u and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127582009 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jfjf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:15 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 42 = 162. Let s be (-3)\/(-6)*0 - g. Let a be (-174)\/s + (-2)\/(-10). Solve -a*f + 20 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 3*h. Let j be r(-2). Let q = j + 67. Let o = 1604 + q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1825*z**3 + 26*z**2 + 10*z - 6. Let y(s) = -5473*s**3 + 82*s**2 + 32*s - 19. Determine -19*o(k) + 6*y(k).\nAnswer: 1837*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 212595 = -3*k, 3020 = n + k - 23542. What are the prime factors of n?\nAnswer: 3, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95233*g**4 + g**3 - 17746*g**2.\nAnswer: 2285592*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 442\/322 - 8\/(-28)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-89) + 2128434\/(-530618)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2365214 and 1?\nAnswer: 2365214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -39928326*z. Let l(d) = d**2. Give l(n(u)).\nAnswer: 1594271217162276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150 - 227. Let m = b - -77. Factor 8 + m*f - 46*f**3 + 12*f + 24*f**3 + 18*f**3.\nAnswer: -4*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -9 + -31 - ((13 - 21) + 4 + -5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdy when three letters picked without replacement from {y: 1, d: 2, f: 1, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 4 = -34. Suppose -c - j*i + 95 = 249, -442 = 3*c - i. Let n = 265 + c. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w. Let j(z) = -z**3 + 2*z**2 + 2*z. Let a(o) = -j(o) + 2*n(o). Let s = 71 + -41. Suppose 22 = -8*i + s. Calculate a(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 962.\nAnswer: -25\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-3)\/6*24\/2. Suppose -4816 = -24*y + r*y. What are the prime factors of y?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 - (-9 - -21 - 10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -2. Let z = q - -16. Which is the closest to z? (a) -1 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -659430, -1318857, -1978284, -2637711, -3297138, -3956565?\n\"Answer: -659427*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 - 0.94. Which is bigger: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25*k**2. Let g(h) = 57*h**3 + 6*h**2 - 6*h - 4. Let t be g(3). Let q(f) = -t + 1571 - 6*f - 5*f. Calculate q(m(v)).\nAnswer: 275*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*n = -1508, -28*h = -26*h - 2*n - 616. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 12*p**5 + 284*p**4 - 12*p**3 - 21916*p**2 + 28800*p - 7168 = 0?\nAnswer: -16, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -3 + 5 - 12 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3577, -7813, -12019, -16201, -20365, -24517?\nAnswer: -28663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -573, -964, -1357, -1752, -2149?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 5221 + 5683 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.055 and 1.8.\nAnswer: 1.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 2, j: 4}. Give prob of picking 1 r, 1 y, and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6232*a**2. Let s(w) = 6*w**2 + 4. Let v(b) = 28*b**2 + 20. Let c(u) = 5*s(u) - v(u). What is z(c(j))?\nAnswer: -24928*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -26. List the prime factors of (-52)\/r - 6\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 + 5*y**3\/3 + y**2 + y. Let u(a) = a**3 - 2*a**2 - 2*a + 2. Let n be u(-2). Let w be s(n). Solve -w = 5*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 5*x - 4 + 7 - 3.\nAnswer: 9*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-28)*240\/64*(-10)\/(-75)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48565681114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1476.96922 - -1477. Let o = y - 0.03. What is o rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -956.821205 - -1022.821. Let u = w + -66. Round u to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 7 + 4*v**2 + 2*v**3 + 0*v - 5*v. Suppose 3*q - 2*l + 7 = 0, -q - 6 = -3*q + 4*l. Determine u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - 88\/(-14) - (-8260004)\/(-14). What is k rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = 1. Let q(v) = -v. Let y be q(-2). Let a(h) = -h**3 - h + 2. Let d be a(0). Solve j*g + d = y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 e, and 1 w when four letters picked without replacement from {w: 1, e: 2, k: 2, t: 2, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 219\/(-105) + (-14256)\/(-6237).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171\/595 - -3\/238. Let d = p + 31\/30. Let x = -2.6 + 2.9. What is the nearest to x in 2\/21, -3, d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 69 + 46 = 85 + 60 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4498053 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hfdga?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1244 (base 6) to base 3\nAnswer: -102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27554251821 + 11.1.\nAnswer: 27554251832.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/804 and 115\/2196.\nAnswer: 147132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(11\/5)\/(s*s*s**10*s))\/((s**(-5\/8)*s)\/s**(-10)))**(-34) assuming s is positive.\nAnswer: s**(14399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:31 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5523, -5520, -5517, -5514, -5511, -5508?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0514 in -3, -1842, 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 108238.2 months?\nAnswer: 9.01985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11237 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 7*p + 4. Let u be (-115)\/92 - (-39)\/12. Determine b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 8*c**2 - 10*c + 3. Let x be q(-6). Let n(h) = 2*h + 22. Let w be n(x). Solve f + w*p = -f + 8, -4*p = -3*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 11*j - 993 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 72\/(-24) - 3\/((-6)\/10)?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 20. Suppose -2*b + 4*g - 4 = 0, 0 = i*b - g - 0*g - 20. Solve -2*l = 4, 5*q - b = -l - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = 0, 3*p - 3 = -4*n + 6*n + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 3*x**2 - 3*x. Let y be u(-4). Suppose -17 - y = -3*b. Let r = b - 11. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10 = -5. Let p be ((-50)\/y)\/(0 - -2). Suppose -p*h = -2*h - 39. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a factor of 5125428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 - 7*f + 11. List the prime factors of b(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4747*w + 4746*w - 5 = 0, -4 = 4*a + 3*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 400 = 121*w - 103*w, w + 2*z + 18 = 0 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.678 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 3980 = 5*v, 20 = -4*v. Suppose -i = -5*q + w - 234, -3*q - 2*i = -658. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427113377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755 divided by 5.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/30 and -35\/1056.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/3 - 14*w. Let d(b) = b. Determine n(d(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrlrlrrrlrrr. Give prob of picking 1 r and 1 l.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*6*(-2)\/(-2). Suppose 13*w + o = 16*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = 3*t, -17*z + 20*z - 32 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*n - 5 - 3, 4 = -5*q + 2*n. Solve -2*w + 5*w - 5*v = 16, 3*w + 4*v + 2 = q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13 + 257*f**2 - 83*f**2 - 11 - 81*f**2 + 21*f. Let i(d) = -d**2 - 4. Let u(o) = 5*i(o) - m(o). What is the second derivative of u(k) wrt k?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*s - 0 - 9, -4*k = s - 11. Let n(z) = k*z**3 - 4*z**3 - 6 + 5. Give n(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/74374 and 19\/575038.\nAnswer: 23576558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 - 11?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*h + 16 = 2*k, 5 = -5*h. Let r = -82 + 102. Let z = k + r. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d21679 - 7?\nAnswer: d21672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*d - 10235 = 0, -732*d + 729*d + 69 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -155283.5.\nAnswer: 155283.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**3 + 5*i**2 + 5. Let l(t) be the second derivative of -t**4\/12 - t**2\/2 - 528*t. Give f(z) + 5*l(z).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)\/f)\/(f\/(((f\/(f*f*f*f\/(f**(-2\/19)\/f*f*f*f)))\/f*f)\/f)))\/((f*f**(1\/4)*f)\/(((f\/(((f**(2\/5)\/f)\/f)\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(-11509\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8064 divided by -341\nAnswer: -8064\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50915*p - 2 - 38659*p + 2.\nAnswer: -89574*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3514 and 14558?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.95991 millilitres to litres.\nAnswer: 0.04195991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 7*z - 16. Let y be w(-9). Suppose 0 = -3*n + y*k + 12, 0 = -4*k + 2*k - 6. Suppose -n*l - 2*l = -x - 182, l = -x + 48. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 67 + -25 - 31.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5096 - -1.0096. Which is the closest to 2\/3? (a) 95 (b) -6 (c) 0 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-1 - 2*y**3 + 1) + (3*y - 2*y + y)*(-2*y**2 - y**2 + 4*y**2).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cevvcqacqfcaaefc. What is prob of sequence vqa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + z + 9, 5*t + z - 3*z - 21 = 0. Suppose 5*w - 1 = -11. Which is the closest to w? (a) t (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 95. Let i(s) = -s**2 - 4. What is i(l(y))?\nAnswer: -y**4 - 190*y**2 - 9029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -1 + 1\/4*b**4 + 4\/3*b**3 - b + b**2. Let u be c(-3). Solve 3*y + 4*k + 6 = 0, u*k + 1 = -4*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -14. Suppose 0 = -5*l - 4*s + 35, -5*l + q = -2*l - s. Suppose 4*k - 40 = -x, l*k - 2*k - 51 = -x. Solve 4*g - p = -k, 2*p = -p + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38589, -154177, -346819, -616515, -963265, -1387069?\nAnswer: -1887927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 + 7*h + 11. What is d(5)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 90. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1185 + 1189 - (-1 + 1 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 225*t - 10*t**3 + 40*t**3 - 14*t**3.\nAnswer: 4*t**3 + 225*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 - g**5\/10 + 5*g**4\/24 + g**3\/3 + g**2. Suppose -2*o + 3 = s + 31, -21 = o + 4*s. Let v = o - -18. What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2404 (base 5) to base 10\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130331 - 2?\nAnswer: -1130333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7346.6 - -7347. Sort 117\/20, -0.3, r, -0.2, 2\/3.\nAnswer: -0.3, -0.2, r, 2\/3, 117\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/((1 + -3)*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*-48.778\nAnswer: 141.4562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774319.753 less than -0.0534?\nAnswer: -2774319.8064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 1 - 1)*(2*d**2 - d**2 + d**2) + 2 - 2 - 16*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 32. Suppose -t - 51 = -2*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + -1 + sqrt(891) + (-2 + (sqrt(11) - (sqrt(11) + sqrt(99))))**2.\nAnswer: 30*sqrt(11) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-6))\/(101192\/(-27105)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:37 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-21 - (24 + -13 + -26))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 30*t**2 + 16*t + 15. Is n(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 4*v**2 + v - 1. Let t(a) = -4489*a**3 + 1749*a**2 - 3*a + 5. Let m(d) = 3*s(d) + t(d). Find the third derivative of m(u) wrt u.\nAnswer: -26898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 - 87*i**2 - 9*i**3 + 23*i**3.\nAnswer: -2*i**3 - 87*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 10. Let s be g(13). Suppose 0*w + 7 = 3*w + 5*q, -s*q = 2*w - 5. Solve -p - w - 1 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 428923917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 133, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 1 - 4)*(2*n**3 - 2*n**3 + 15*n**3).\nAnswer: -345*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(170)\/(sqrt(10) + (sqrt(160) - sqrt(160)*-2 - sqrt(10))) + -4 + 4*sqrt(153).\nAnswer: -3 + 145*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 489434889 and -6.89.\nAnswer: 489434882.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.1. Let j = -390 - -388. What is the smallest value in -2\/3, j, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.59 - -46.59. Let v = -46.2 + z. Let s = 0.1 - -0.9. What is the second biggest value in 4, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12690 (base 10) to base 14\nAnswer: -48a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3276*f + 22 + 3277*f + 10. Let k(g) = -g - 29. Let o(w) = 6*k(w) + 5*z(w). Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokwwooo. What is prob of picking 1 o and 2 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -26600000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877, -780, -683, -586?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*a + 437 = 211 + 232, -3 = 5*h - a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + -1*(-1 + sqrt(98) - sqrt(98))**2 + (1 + sqrt(162) + sqrt(8)\/(-3*sqrt(4)))**2.\nAnswer: 52*sqrt(2)\/3 + 1379\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r + 2. Let m be l(-7). Let a be 2 + -1 + m - -1. Suppose 0 = -5*u + 5*q + 5, -5*q = -4*u - a*q + 10. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = -6*o + o, -2*d - 4*o + 44 = 0. Suppose -c + d = 5*c. Suppose 12*y + c*y = 756. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*((-122960)\/1484)\/(-5)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 732336 and 116508.\nAnswer: 5126352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -592+8\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 19 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 680 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12151065 (base 7) to base 16.\nAnswer: 109a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6555379 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: What are the prime factors of 24961?\nAnswer: 109, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129655?\nAnswer: 5, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17780822, 17780826, 17780832, 17780840, 17780850, 17780862?\n\"Answer: o**2 + o + 17780820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57585*x**3 - 19070*x**3 + 3*x - 3*x.\nAnswer: -76655*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 46. Let i(v) be the second derivative of 3*v + 0 + 0*v**2 - 1\/60*v**5 + 1\/126*v**7 + 1\/90*v**6 + 0*v**n - 1\/36*v**4. Factor i(q).\nAnswer: q**2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((10\/(-6))\/1)\/((-316)\/948). Let g = 21 + 112. Suppose 3*b - g = -4*r - r, 2*b = c*r - 128. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 2*o + 1 - 1.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 29384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -6*g**3\/11 + 408*g**2\/11 + 43470*g\/11 - 723600\/11 = 0.\nAnswer: -67, 15, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x**2 - x**2 + 5*x**2)*(3 - 2 + 3)*(-2*x - 6*x + 3*x).\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r + 11. Let g(t) = -2*t + 39. Let b be g(23). Let f = -9 + 18. Calculate the remainder when l(b) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-3*w**3 + w**3 + 3*w**3) - 5*w**3 + 18*w**3 + w + 3*w**2 - 7*w**3 - 2*w**3 - 2*w**3 + w**3.\nAnswer: 5*w**3 + 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -8. Suppose -2*b = 2*b - 4. Is b less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418785*a = -418387*a - 6368 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85, 34, 341, 926, 1879?\n\"Answer: 15*h**3 + 4*h**2 + 2*h - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z - 4*z**3 + 4*z**3 + z - 6*z**5 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let y(w) = 55 + 62 + w + 59 - 97. Give y(t(l)).\nAnswer: l + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122685607480.2 - -352.\nAnswer: -122685607128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21.2302647 microseconds?\nAnswer: 0.00000000024572065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, q: 1}. What is prob of picking 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 7*z**2 + 6*z + 1. Let q be k(-6). Suppose -g - g - 3*i = 3, -5*i = -g + 5. Solve g*a + q = 4*a - o, -5*a = -2*o + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, o: 3, i: 2, y: 5}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.6 + 12.9. Let h = -7.943 + -0.157. Let l = v - h. Which is the closest to -0.2? (a) l (b) -1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*z + 17 + 4, -3*z - 9 = 0. What is the smallest common multiple of (-6)\/(-9) - 8\/(-6) and ((-3)\/m)\/((-6)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*5*8\/(-400)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-324 - 90*y + 324 - y**2)*(y - 3*y + 3*y) as t*y**2 + x + s*y**3 + m*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*d - 122, 8*p - 3*p + 5*d - 150 = 0. Suppose 14*a + 505 + 69 = 0. Let w = a + 83. Calculate the greatest common factor of p and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 4.2. Let k = r - -4.5. Which is the third biggest value? (a) 3 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((36\/(-172))\/3). Let z = -31 + o. Find the second derivative of 4*n + 250 + 22*n**2 - z*n - 250 wrt n.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16349366333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29+-0.69387\nAnswer: 28.30613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39245, -156955, -353145, -627815, -980965, -1412595?\n\"Answer: -39240*m**2 + 10*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 28 = -3*o - 4*f, -5*o + 2*f + 16 = 0. Suppose 0 = -2*x - o*j - 20, -12 = 4*j + 4. Which is the nearest to 0.1? (a) 2 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose 3*f + i - 4 = 2*f, 4*f + 12 = z*i. Suppose -w - 4 = -2*m, f*m = -m - 4*w + 11. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1693*v**4\/6 - 37*v**3\/6 - 12*v**2 - 100*v + 14. Find the second derivative of x(d) wrt d.\nAnswer: 6772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12295 - -12292. Let v = -0.05 - 2.95. What is the nearest to g in 0.1, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571298 = -31*h + 7752016 - 574709. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21999\/7 - -3143. What is the smallest value in -1\/5, 0.76, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, v: 5, i: 1, z: 1, a: 5, c: 2}. Give prob of picking 1 p, 1 a, 1 c, and 1 z.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -1\/5*b**2 + 1\/5*b**3 - b + 1\/50*b**5 + 0 - 1\/10*b**4. Factor n(p).\nAnswer: 2*(p - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2047\/28 + -287\/4. Find the common denominator of 79\/20 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(0 - (-5)\/(-4)). Suppose -12 = -4*o, 0*q = -2*q + 3*o + 27. Suppose 22 = 5*r - 3*x, t*r = -2*x + 4*x + q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*w = 22, -4*g - w - 31 = -6*w. Let m(z) be the first derivative of -z**2 - 3*z + 5210. Calculate m(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/132 + c**3\/33 - 4*c**2\/11 - 148*c. Factor x(l).\nAnswer: (l - 2)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus 1211703.735?\nAnswer: 1211703.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*m - 24 = 0, 2*l + 3*m + 56 = -6. Let p = l - -32. Suppose -13 = 2*n - b - 0*b, -3*n + p*b = 32. Sort 0.5, 1, -5, n.\nAnswer: -5, n, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*z + z - 21, 18 = 2*p + 4*z. Let d(o) = -o**2 + 43*o + 140. Let i be d(17). Let k = i - 577. Solve p*x = k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -8, -0.18, -0.05, 1\/3 in decreasing order.\nAnswer: 16, 1\/3, -0.05, -0.18, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, -7 in decreasing order.\nAnswer: 5, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0512712098 and -10.\nAnswer: -10.0512712098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 3, 2, -54.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -38 + 18 - ((0 - -1) + -28 + 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 623.6114?\nAnswer: 3118.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -722608, -722602, -722590, -722572, -722548, -722518, -722482?\n\"Answer: 3*u**2 - 3*u - 722608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 1020, 1087, 1174, 1287, 1432?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - x**3 + 3*x + 4*x**3 - 3 - x. Suppose 18*c = 12*c + 18. What is the tens digit of q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46244.011 - 46380. Round y to 0 decimal places.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + 1 + 2)*(0 + 0 + 4 + (2 + 1 - 2)*(-2 + 5 - 2) + 5 - 3 - 1 - 1 - 3 + 3 + 3 - 5 + 3 + 0 - 3 + 4).\nAnswer: -7*j + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from pjpvjhptjhjl?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*4\/(-4)*(-2)\/(-18)*9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14 = -118. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110512 - 110512 - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/6 - 7*u**3\/6 - u**2\/2 - 2*u. Let m(l) be the first derivative of q(l). Let o(i) = 3*i - 6. Determine -4*m(s) + 5*o(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 24*r + 2. Let a be x(24). Suppose 0 = -a*f + 3 + 17. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -t - 5*i, 2*i = 2*t + 6. Solve 4*d - 2 - 18 = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.797779606 * -0.3.\nAnswer: 0.2393338818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323406 (base 9) to base 8.\nAnswer: 4624364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(9\/3) - 803\/(-11). What is the highest common divisor of 21 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c - 12. Let m be b(-8). Suppose 40 = 3*x + 5*j, 5*x - m*j = 7 - 2. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -26) + -5 + (-2 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, 7, 165, 5 in descending order.\nAnswer: 165, 7, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-6*(sqrt(108) + sqrt(12)) - sqrt(12)).\nAnswer: -sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + z - 87 = -4*z, -4*r = -4*z - 160. Suppose -n - 2*q - 16 = 3*q, -3*n = -4*q - 28. Suppose 5 - r = -n*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.3 - 78.3. Sort f, 4, -13, 1\/2 in descending order.\nAnswer: f, 4, 1\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*l + 32*c = 37*c + 3 - 23, -3*c - 203 = 40*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10092 - -10487. Calculate the highest common factor of 2291 and r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 - 8*r + 9. Suppose -24 - 12 = 4*v. Let g be x(v). What are the prime factors of 7\/(2\/2) + g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158 plus 1841146.3695?\nAnswer: 1841146.2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:50 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*w + 49. Let f be (w\/(-4))\/((-9)\/(-8)). Let l = 2207.7 - 2208. Put l, 2\/9, f in increasing order.\nAnswer: f, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 204*g - 10396. Determine k(101).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 316943*d + 51 = -316947*d + 7, -11*r - d = -34 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 4:30 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (-60)\/10 + -1*1. Suppose 8*z - 230 = -h*z. Calculate the remainder when 128 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*-2*5.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1783660 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 9)*(-1 + 3 + 2)*(-4 + 2 + 0)*(-184*t**4 + 774*t - 774*t) to the form w*t + o*t**4 + h + p*t**3 + v*t**2 and give o.\nAnswer: 10304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 + -2*(-2 + 0 + 1). Let h = -8 - k. Let g = 282 - 280. Solve g*p - 1 = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -131. Let n be w\/(-6)*3\/2. Suppose -g = -n + 6. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17612816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4753369 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) - -51 - 2. Let l be (-2 - k\/(-4))*2. Calculate the highest common factor of l and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**6 + 13*d**4 - 5*d**3 + 141*d**2. Let q(p) = 7*p**4 - 3*p**3 + 70*p**2. Let l(i) = 5*q(i) - 3*s(i). Find the third derivative of l(z) wrt z.\nAnswer: 360*z**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-2660)\/450 + 6 and 107\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125212 is divided by 479.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6998 + -2415. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -40*u + 396. Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose i - 6 = -i - 3*x, r = -i - 3*x. Let f(v) = v - 4. Determine f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 2. Let a(z) = -z**3 - 5*z**2 + 8*z + 13. Let r be a(-6). Let l be k(r). Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -390, -1183, -2696, -5169?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11892*c + 11892*c + 38*c**2 - 31*c**3 + 1 wrt c.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 55\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkxjjktkkktkjqktk. What is prob of picking 1 j and 1 k?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 - -730. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1011, -2, 3, -5, 2, -3 in increasing order.\nAnswer: -1011, -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55786, -112919, -170052, -227185, -284318?\n\"Answer: -57133*x + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7584, 5, 3, 18, -5 in increasing order.\nAnswer: -5, -2, 3, 5, 18, 7584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = -m - 20, 0 = 2*m. Suppose 5*w = k*w + 18. Suppose -h - 1216 = -w*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + m = -15, 0 = 3*i + i + 3*m - 12. Let r(f) = -f**3 + 3*f**2 - 2*f + 4. Let d be r(i). What is the third smallest value in -3, 5\/6, d?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4692 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129395557 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**4 + t**3 - t**2 - t - 2. Let l(b) = -b**4 + b**3 - b**2 - b - 1. Let g(p) = i(p) - 2*l(p). Find o such that g(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 + 3. Let v(h) = h**2 - 1. Let n(y) = u(y) + 3*v(y). Let g(b) = -7*b**2 - 11*b. Calculate g(n(x)).\nAnswer: -567*x**4 + 99*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:35 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 3*k + 1. Let o be u(-2). Suppose -m + 12 = o*m. Let q = -1 + m. Solve q*x + 4 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1720533*s**3 - 6568018*s.\nAnswer: -10323198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from pbzrbgzggjbb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -11\/40068 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 65 = 66*y - 155 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**2 - 1 - 25*d**2 + 15*d**2. Let a be k(-7). Suppose 472 - a = 4*u. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s**2 + 4*s + 2. Let r be l(-4). Let v = r - -10. Calculate the remainder when 23 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 1, r: 7, j: 4, o: 3}. Give prob of picking 1 j and 1 r.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9944 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 4, 5, -0.05, 22?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*x - 38. Suppose -3*o = 2*l - 10, 5*o - 10 = 3*l + x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -22*y**2 - 268*y + 67. Calculate a(-7).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4978 + 4972 + 453*a**3 + 269*a**3 + 76*a**3 + 112*a**2 wrt a?\nAnswer: 4788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (37\/((-27195)\/(-2604)))\/(36\/14) and 35\/60*(-28)\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(1*sqrt(80)\/sqrt(10) + sqrt(8)) - sqrt(55)\/(sqrt(44) + sqrt(11))*-3)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7471*o + 1860 - 1960 = 6062 + 8780 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -46*u + 89. Let t be g(-19). Let j = t + -955. Solve -j*v + 5*v = 5*w, 4*w + 5*v = -13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - p = -852, 0*h + 4*h - 1143 = p. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150642406?\nAnswer: 2, 31, 50816813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1081 + 1078. What is the closest to 0 in d, -4, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 217178 (base 10) to base 11\nAnswer: 139195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.7102 - -32.8. Let d = -0.09 + y. What is d rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.882182 centuries in months?\nAnswer: 1058.6184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 0.035 (b) 263\/5 (c) 4 (d) 0.2 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*j - 1255 - 445. Solve -72*x - 20 = -j*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 + 9*s**4 - 6*s**3 + s**2 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-35)*5\/8*4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4 = 0, 37*d = 4*q - 0*q + 34*d - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4337 is divided by 167?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 + 1723*d\/3 + 3442\/3 = 0.\nAnswer: -1721, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11212022 (base 3) to base 12\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/54 and -19\/210?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6452362 (base 7) to base 9.\nAnswer: -1427167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 0*o - 4*o**3 + 4\/5*o**5 - 42 - 4*o**2 + 0*o**4. Factor l(v).\nAnswer: 4*v*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**10\/60480 - g**9\/7560 + g**8\/4480 - 47*g**4\/12 + 2*g. Let f(s) be the third derivative of x(s). Factor f(n).\nAnswer: n**3*(n - 3)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 137 = 4*s. Find the common denominator of (-77)\/12 - s\/(-9) and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-15) - (-21)\/9. Let o(k) = 3*k**2 - k - 1. Let m be o(2). Solve 4*l - 3*n = m*l - 5, h*l + n = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 5*q**2 - 8*q - 7. Let l = 140 + -194. Let f be (1 - 5)\/(l\/(-81)). Determine z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)\/(-35 + 33). Let w(p) be the second derivative of 1\/6*p**3 + x*p**2 + p + 0. Let r(f) = 7*f. Calculate r(w(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*j + 2216 = 0, 3*h - 1758 + 94 = -2*j. Which is the nearest to 0? (a) h (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/((-51)\/(-17)) - 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608 - 286 + 33*c - 322.\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -17\/10, 13, -7\/5 in descending order.\nAnswer: 13, 0.4, -7\/5, -17\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.77 greater than 475.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 91*s**2 - 82*s - 78. Give t(92).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3012 (base 7) to base 13.\nAnswer: 61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10786 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: Is 532339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**3*r**2*z**2 + d**3*r**2 - 4*d**3*z - 3*d**2*r**2 + 10*d**2*r*z + 75942*d*r**2*z**2 + 66*r**2 wrt z?\nAnswer: 48*d**3*r**2 + 151884*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 - 75*x - 38. Let s be c(-7). Let r(n) = -6*n**3 - 18*n**2 + 6*n + 7. Give r(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7*k + k + 2)*(-1 - 1 + 0) + (4*k - 5*k - 2*k)*(-5 - 2 + 5) - k + 5*k - 3*k - k + 2*k + 0*k.\nAnswer: 20*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63708 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.58 - -2.58. Which is the fourth smallest value? (a) l (b) -2\/5 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 84.91939nm?\nAnswer: 0.08491939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/28 + 5 + 15\/(-20). Suppose 0 = -4*b + p - 3*p + 320, c*b - p - 414 = 0. What is the least common multiple of 9 and b?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64956883?\nAnswer: 1483, 43801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((88\/14)\/1)\/(228\/798)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 49*k = 225, -12*k - 39 + 98 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**38*m*m)\/m**(-13) assuming m is positive.\nAnswer: m**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(228\/95)*16\/(-380)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*i + 1151*i - 580*i + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575620227 is divided by 398.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from kkqkkkkkkqkkkkkqkkkk?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.212 * -25029\nAnswer: -130451.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 54 = 418*y - 207*y - 209*y, y - 23 = -t for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2328)\/(-120) - 23)\/(4\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen halves of a year in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35\/3, 1\/2, 11958, 0.8?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.3 and 9839057798?\nAnswer: 9839057769.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72 - 59) + 1*2. Sort 4, 0, d, 3 in descending order.\nAnswer: d, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 13*n**4\/4 - 57*n. Let m(k) = 36*k - 83*k + 46*k. Calculate m(s(q)).\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 471.338548 to 2 decimal places.\nAnswer: 471.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/((-232)\/(-957))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*f + 1176 - 1176)*(f**2 + 3*f**2 - 5*f**2).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -68*p**2 - 3*p - 4. Suppose -b = 5*f - 1 - 0, 2*f + 10 = -3*b. Let v be c(b). Round v to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 30.999865. Let x = v - 0. What is x rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19087, -38169, -57249, -76327?\n\"Answer: k**2 - 19085*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22341*f - 893650. Give y(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + (0 - 1 - (-13 + 17 + (-11 - -6)))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 27875.\nAnswer: 1\/27875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -0.07. Which is the third biggest value? (a) 0.3 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 48 = 36. Let d be (-284)\/(-18) - 7*r\/63. Solve 12*h - 8*h = -d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0 - 17\/18*s**4 - 1\/360*s**5 + 83*s**2 + 0*s - 1156\/9*s**3. Factor w(x).\nAnswer: -(x + 68)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.55 in -1, -18, 0.4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 38. Let v be t(13). List the prime factors of v\/((-2)\/(-7) + 3015\/(-10675)).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 2526*g + 56*g + 479*g = 77194 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10 = 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565767995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -79*n**2 + 744*n + 48. Calculate y(8).\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + s**2 - s**2)*(-11 + 11 - 189*s)*(-4*s + 2*s + 4*s).\nAnswer: 1512*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1590)\/(-24) - (-1 + 4). Suppose 0*u + u - 63 = 0. Let v = s - u. What is the third smallest value in -1\/2, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f**3 + 0*f**3)*(4*f**2 + 3*f**2 - 5*f**2 + (-11*f**2 + 24*f - 24*f)*(35 + 13 - 19)).\nAnswer: 634*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-5*o + 0*o + 2*o) - 9*o + 2720 + 2723 - 5440 to s*o + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j)*(0 + 0 - 2)*(1099*j**2 - 13 - 29 + 42).\nAnswer: -4396*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 21*x**2 + 0*x - 3*x + 0*x as g + p*x**2 + r*x and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177668293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12196 is divided by 75.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.644658ng to grams.\nAnswer: 0.000000002644658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + 9114)\/((-21)\/(-12) + 20\/80) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-4) + -2 - 1. Suppose 40 = o*d - 42. Suppose -12 = -r + d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -176*r + 3. Let n be a(2). Let y(b) = -31*b**3 + 3*b**2 - b - 1. Let o be y(2). Let g = o - n. What is the greatest common divisor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122009 - 122011. Let b be (33\/(-9))\/(1\/(-3)). Sort n, b, -0.3, -3.\nAnswer: -3, n, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (-3 + sqrt(147)*2))*-4*-3)**2.\nAnswer: -6048*sqrt(3) + 22464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or -4.59576?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-7)\/14*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {r: 1, a: 13, w: 5, c: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 450 + -179. Suppose -125 = -2*u + 2*s - 23, c = 5*u + 3*s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 divided by 109?\nAnswer: -501\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*s + 228. Suppose -91*k = -s*k + 6985. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12320\/9?\nAnswer: -12320\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xixxqxiixqxx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5 = c, 8*c - 4*c = -3*h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**4 - z**3 - z**2 - z. Let c(r) = 130*r**4 - 2*r**3 - 66*r**2 - 2*r. Let n(x) = -c(x) + 2*i(x). What is the third derivative of n(y) wrt y?\nAnswer: -3216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -23, -12, -1, 10, 21?\n\"Answer: 11*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44293013 and -329.3?\nAnswer: 44293342.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 + 33*k + 20. Let j be o(-6). Solve 12 + 12 = -2*r - 4*n, -4*r - j*n = 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8451153761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.8 or 0.100786?\nAnswer: 0.100786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001616239646 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 10}. Give prob of sequence ee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32085*v + 1321. What is the ten thousands digit of y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -23. Let j(k) = -k - 1. Let f be j(v). Factor -3*p + p**2 - f*p**2 + 0*p.\nAnswer: -3*p*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5*((-18)\/(-10) - 3) + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*x**2 + 577 - 577 - 151*x**2 to v + w*x + s*x**2 and give s.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - 3*q)*(1 + 3 - 3)*(3*q - 2*q + 2*q) + 13*q**2 - 8*q**2 - 10*q**2 - 2*q**2 + 3*q - 3*q + (-3*q - q + 2*q)*(-2*q - 2*q + 5*q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Round -32.07961 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 272. Let v be o(-24). Let w be (v\/550)\/(((-2)\/(-11))\/(-1)). Solve -7 = u - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8218.2 - -8218. Which is the second smallest value? (a) i (b) -0.1 (c) -0.3 (d) 0.4 (e) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 17976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3614 and 731298321?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65744222 or 65744224?\nAnswer: 65744224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 221 + -12?\nAnswer: 20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*(sqrt(3) + sqrt(3) + 3) + -3*sqrt(27) + 3 + -2)**2.\nAnswer: -48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + sqrt(3))**2*3*4 - ((sqrt(33) + (1*sqrt(363))\/sqrt(11))\/sqrt(11))**2.\nAnswer: -48*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - 1) - -2 - 9 - 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 525.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(d**(-3\/4)\/d))**(-2\/5)*(d*d**(4\/3))\/d*d**0*((d*d**(2\/7)*d*d)\/d)**(-36) assuming d is positive.\nAnswer: d**(-16811\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -7. Suppose 0 = -4*z - 3*x + 12 + r, 12 = 3*z - 3*x. Suppose -z*p - 2 = 3, 0 = 2*h - 2*p - 26. Solve 0 = -2*d + 6*d + h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1748\/1302) + -1 - 184782\/585143?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**8\/1680 - i**7\/360 - 2*i**6\/405 - i**5\/270 - 5*i**3 + 50*i**2. Let f(j) be the first derivative of z(j). Factor f(g).\nAnswer: -g*(g + 1)*(3*g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsruyrduusssdsdssu. What is prob of sequence ry?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/45 + 441\/1890 - 6\/70?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**4\/24 - 37*j**3\/6 - 43*j**2. Let t be d(9). Solve 5*q + t = k - 3*k, 3 = -q + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 4*x**2 - 7*x + 5. Let g be i(5). Let k be 2\/g - (-164)\/10. Let q = 203 - 163. What is the greatest common divisor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -121, -149, -163?\n\"Answer: 7*j**2 - 63*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (400\/(-495))\/2 - 12\/(-66). Which is the third biggest value? (a) r (b) -4\/5 (c) 32 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - t + 2. Let d be m(1). Let o be 3\/(6\/4) - d. Find the third derivative of -5*h**4 + h**4 + 3*h**o + 4*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 57. Solve 0 = -5*d, t*d = k + 4*d + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968584751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145.19 + 0.31. Let l = s + -145. Which is the biggest value? (a) -4 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggxhggvwvvnggn. What is prob of sequence hvwn?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (13 - 1) - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1364 + 17722\/13. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -20349*(7 + 308\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z**3 + 7*z**2 - 15*z - 2. Let n be g(5). Let q = n + 5326. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -49b?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 + 6. Let t be i(5). Let r be (-36)\/t*8\/(-12). Let j(z) = 2*z**3 - 5*z**2 - 2*z. Does 12 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:53 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:23 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-20)\/(-2732)) + (-6)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117a (base 15) in base 16?\nAnswer: -e83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/30 + g**5\/15 + g**4\/6 - 2*g**3\/3 + 11*g**2. Factor y(l).\nAnswer: -4*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by -32?\nAnswer: -53\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 547 and 292597411.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2805, -1, -34, 8, -22 in increasing order.\nAnswer: -2805, -34, -22, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*-261\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32109 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -23*y**3 + 22*y**2 + 71*y + 56. Let h(d) = 88*d**3 - 89*d**2 - 285*d - 223. Let s(f) = -6*h(f) - 23*l(f). Suppose s(j) = 0. What is j?\nAnswer: -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 30. Let x(r) = 11*r**2. Determine x(q(y)).\nAnswer: 11*y**4 + 660*y**2 + 9900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 40452?\nAnswer: -40455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = 4*r, -11*c + 8*c - 4 = r. Solve -1 + 16 = r*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03086 rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 744 = 4*c, 0*c = 4*n - 3*c - 737. Is ((-2)\/(-8) + (-30)\/(-40))*n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.63957 millennia in months?\nAnswer: 571674.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -69*a + 8. What is the smallest common multiple of 180 and n(0)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 9*r - 12. Determine d(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let k be -11*(-1)\/(-9) - 90\/(-90). Which is the closest to -1? (a) t (b) k (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(50))\/(2*sqrt(128)))\/(6*sqrt(80)*-3*-4).\nAnswer: -sqrt(5)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l + 1. Let z = 353 + -349. Let i(o) = 13*o + 2. What is z*m(p) - 3*i(p)?\nAnswer: 17*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -124, 2\/3, 5\/6, -8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 - 50*b**4 + 180*b**3 - 270*b**2 + 135*b = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.050958 rounded to 1 dp?\nAnswer: -158.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - -1)*(-36)\/(-10). Let i be (2\/4)\/(u\/(-16)). Let x = 0.2 - 1.2. What is the nearest to x in 4, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 196529?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/140*(-1 + -29). Let h = 5 - 3. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8\/1) + 2*-6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-8\/3)*m)\/(m\/(m*m**(6\/5))))**(-41)*(m**0)**48*m\/m**(-8)*m*m**2 assuming m is positive.\nAnswer: m**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2164786 and 39534?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*y**2 + 83925*y - 20980.\nAnswer: -5*(y - 4196)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1597437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 37*q**2 + 25*q + 12. Let p be g(19). Let c = p + -5231\/6. Find the common denominator of -7\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 + 3*t - 2 - t - t - 2*t - t to v + s*t + z*t**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 0.1, 16, 1\/12 in increasing order.\nAnswer: -80, 1\/12, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2. Let y(x) = -43*x. Determine b(y(w)).\nAnswer: -12943*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 472 - 461. Let x be ((-24)\/35)\/(((-66)\/15)\/r). Let 0 - 12\/7*s**5 - 15\/7*s**4 + x*s + 60\/7*s**2 + 45\/7*s**3 = 0. Calculate s.\nAnswer: -2, -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*l**4 + 28021*l**3 - 72764*l - 11 wrt l?\nAnswer: 492*l**2 + 168126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963189, 1926417, 2889643, 3852867?\nAnswer: 4816089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b08 + -3?\nAnswer: 7b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 326038679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -v + 384, 3*p + 375 = v + p. Suppose o = 5*u + 137, 3*o = -u + 2*u + v. Let x(l) = -5*l - 99. What is the remainder when o is divided by x(-26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 1. Let d(v) = 5*v + 5. Let k = -3779 - -3778. Suppose -3*r = 6 + 9. Calculate k*d(y) + r*p(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7 + 9. Find the common denominator of 2*k + ((-165)\/35)\/(-11) and -1\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 25. Solve -3*f - 3 = -i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2058 = 4*b + 10*n + 1930, 0 = -5*b - 4*n + 160 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7380036 by 820004.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 6. Let u be g(-9). Suppose u + 1 = 4*x. Let p = 4 + x. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**9\/5040 - y**5\/30 - 7*y**4\/12 - 4*y. Let x(z) be the third derivative of h(z). Find the first derivative of x(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1621474 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-12) - 3\/(-12). Suppose -2*w = -u - 36, w - k*u = -4*w + 91. Suppose -3*z - 4 + w = 0. What is the smallest value in -4, z, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.430014003 + -103.43. What is y rounded to seven dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-12) - (-204)\/(-153))*(-4)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*2*2514\/(-4609)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.06 + 0.06. Suppose 5*n = 5*r - 20, -40 = r - 5*r - 2*n. Let j = -5 + r. Which is the nearest to 1? (a) w (b) j (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 886693.3 weeks?\nAnswer: 536272107840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10507245 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-63)*(-6)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -7482?\nAnswer: 7481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -249*c + 33. Let k(g) = -125*g + 17. Let v(p) = 13*k(p) - 6*x(p). Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (75\/(-10) + 8)*8. Let h(m) be the second derivative of -j*m**2 + 0 + 5*m + 4\/9*m**3 + 1\/9*m**4. Find d, given that h(d) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.966237 and -0.8.\nAnswer: -3.766237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 3}. Give prob of sequence ele.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let y(b) = -b**3 - b**2 - b + 5. Let w be y(0). Suppose -w = q + l*q. Which is greater: 2\/21 or q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 19*y + 431. Calculate z(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271427565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.093942 milliseconds?\nAnswer: 0.0002515657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + 1 + 5)**2 + sqrt(605) + (sqrt(5) - (sqrt(320)*1)**2)*-5.\nAnswer: 149*sqrt(5) + 2241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 32*p**2 + 3*p + 73. Let z be f(6). What is the highest common factor of 226 and z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148094342?\nAnswer: 2, 3, 19, 3357001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or -25927\/225?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - t + 1. Let r be b(1). Suppose -2*g + 5*d - 17 = 0, -5 = r*d - 4*d. Solve g*h + 4 - 2 = 3*i, 3*h = i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weedqeieewweiqwwwwwx. Give prob of sequence xd.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7 - -7. Let a = 5 - 14. Let r = -5 - a. What is the third smallest value in g, r, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 10\/(-3))*-18. Let n be ((-1)\/2)\/((-2)\/c). Let d = n - 3. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 513 = 3*b. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2768258 or -2768255?\nAnswer: -2768258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1440638 - -10084654\/7. Suppose -36\/7*i**3 + a*i**2 + 104\/7 - 36*i - 4\/7*i**4 = 0. What is i?\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-16 + (17 - -11) + -30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 18 - (-19 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 538, 908, 1280?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 357 - 262. What is the remainder when j is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2402 take away 1.143?\nAnswer: -2403.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 3*a + 3. Let q(b) = -b**3 - b**2 - b + 1. Determine -3*q(z) + w(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -8*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2*l**2 - 2*l**2 + (0*l**3 + l**3 - 8*l**3)*(-l + 2*l - 2*l)*((1 - 1 - 6*l)*(26 + 23 - 21) + (-1 + 3 - 3)*(-l + 2 - 2)).\nAnswer: -1170*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 314*p + 368*p - 7 + (2 + 1 - 5)*(p + 0*p - 2*p).\nAnswer: 56*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**10\/10080 - j**9\/1680 - 3*j**8\/2240 - j**7\/840 + j**4\/3 - 2*j. Let r(p) be the third derivative of t(p). Factor r(c).\nAnswer: -3*c**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67\/174 + 10\/87. Let h = -0.5 + 0.8. Which is the second biggest value? (a) h (b) 1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140458 is divided by 327.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 520, 672, 884, 1156, 1488, 1880?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 111, 103, 23, -153?\n\"Answer: -4*y**3 + 68*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (15 - (-62 + 77))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238646934 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**1*p*p))**36)**(-1\/12)*(p**(2\/5)*p*p*p*p*p**1)**(-3) assuming p is positive.\nAnswer: p**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5828 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 4. Suppose -h*s + 20 = 3*u, 3*u = 4*s - 4 - 0. Solve 8 - 4 = a - 2*f, s*a = -2*f - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 147. Let s = 99 + b. Let h = -154 - -154.5. What is the nearest to -1 in 5, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 248, 63, 57 in decreasing order.\nAnswer: 248, 63, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvwvvv. Give prob of sequence wvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346534693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + -0.07. Let p = 12 - 18.3. Let d = p + 6. What is the nearest to y in 1\/4, d, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1705508*l. Let p(m) = 4*m**2. What is p(t(c))?\nAnswer: 11635030152256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 4*k**2 - 4*k + 1. Let b(d) = -5*d**3 + 11*d**2 - 11*d + 4. What is 3*b(j) - 8*r(j)?\nAnswer: j**3 + j**2 - j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891 (base 15) in base 5?\nAnswer: 443221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.06 - 2.94. Sort -11, v, -1 in increasing order.\nAnswer: -11, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749924407726*g + 2 - 2 - 749924407727*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((4 - 7) + 4)\/((-2)\/(-34)). Suppose 3*d + 0*x = 5*x + a, 0 = 3*d + 4*x - 8. Suppose 5*s = -3*b - 7, -s - d*s = 4*b + 6. Solve h + 4 = -b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093662 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -762966*f**5 - 9*f**2 - 52*f + 75 wrt f.\nAnswer: -45777960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3648 - -16161. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*b = -4*d - 33, -5*b + 19 = 3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t = -35*t + 2523. Let h = -489 + t. What is the highest common divisor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.475 - 0.025. Let y = 0.019 + -22.019. Let l = s - y. Sort 0.4, -0.1, l.\nAnswer: -0.1, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1357, -2724, -4091, -5458, -6825, -8192?\nAnswer: -9559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.2. Let y = l - -0.36. Let q = y + 0.012. What is q rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*p + 58 - 53*p - 97*p + 9*p**3 - 78*p - 258*p**2 = 0. Calculate p.\nAnswer: -2\/3, 1\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Suppose 4*y + 2*g = 76, t*y - 30 = -4*g + g. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110342 (base 7) to base 14\nAnswer: -70c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/10 - 528*p**4\/5 + 220293*p**3\/10 + 15276571*p**2\/5 + 515328528*p\/5 + 4543186032\/5 = 0 for p.\nAnswer: -44, -14, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g*g\/((g\/((g**(-11)\/g*g)\/g*g*g))\/g)*g**(2\/15)\/(g\/g**8))**(-2\/17))**31 assuming g is positive.\nAnswer: g**(806\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from ritoqic?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15129, 30311, 45491, 60669, 75845?\n\"Answer: -m**2 + 15185*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 16*k**2 - 11*k + 18. What are the prime factors of i(11)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517392.44 rounded to the nearest ten thousand?\nAnswer: 4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702929761 to the nearest integer?\nAnswer: 26513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 148*k + 69. Let m be d(-3). Let i = m - -354. Is i at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 17*r - 59. Let l be p(-8). Let u(o) = -o**2 + 4*o**2 - 4*o**2 + 11 + 14*o. Calculate the remainder when u(l) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12 + j - 12. Suppose -n + 0*n = -2. Let l(f) = 2*f. Let a(p) = n*w(p) - 2*l(p). Let k(x) = -2*x**2. Calculate a(k(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7430*t**5 + 8*t**3 + 153584*t?\nAnswer: 148600*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 3. Let u be c(0). Suppose i - u = 3. Solve -i*r + 4*r = -4*j + 22, -2*j = 4*r - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28497713434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3892 = 43*i - 881. Suppose -115 = 31*u - 26*u. Let r = 60 + u. What is the highest common divisor of i and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/3 + 25030*s**2\/3 - 104130800*s\/3 + 47987529000 = 0 for s.\nAnswer: 3735, 4390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8623088.9 to the nearest 1000.\nAnswer: 8623000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 74996\/14120. Let h = 4\/353 - w. Calculate the common denominator of -101\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 90, 203, 362, 567, 818?\n\"Answer: 23*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 3*i + 3. Let v be h(2). Let j be (-2)\/(-3)*v - 1. Is 572\/(-11)*3\/6*j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/2 + 2608*r**4 - 10439*r**3\/2 - 7823*r**2 + 20870*r - 10436 = 0?\nAnswer: -5218, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + 5*a - 10*a)*(-409 - 231 - 52 - 7).\nAnswer: -2097*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1306750, 4, -9, 0 in increasing order.\nAnswer: -9, -2, 0, 4, 1306750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 2*i = 998, 4*d - 2*i - 1994 = 0. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/19 (b) -9\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157449\/140 - 7786\/7. Let h = l + -51\/4. What is the biggest value in -1\/4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 1 + (-26)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86644629 is divided by 1171?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:24 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 447, 995, 1761, 2745?\nAnswer: 3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -15*p + 21, -25442*p - 4*b = -25446*p + 60 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4067968?\nAnswer: 2, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 17 = -23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 4482?\nAnswer: 103086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from yklcgmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 6710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*t**4 + 5880 - 5880 + (2*t - 2*t - t**2)*(2 - 2 + t**2) - t**4 - 2*t**4 + 5*t**4 to the form b*t**4 + k*t**3 + y*t**2 + d + c*t and give b.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21361 is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, -3, 0.3, 2\/485, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -985, -2218, -3945, -6166, -8881, -12090?\nAnswer: -15793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86547137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1235097 + -666952061\/540. Let l = i + 1\/108. What is the second biggest value in l, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14461, 14462, 14463, 14464, 14465, 14466?\nAnswer: 14467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923267?\nAnswer: 727, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -139522 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03686449 and -1?\nAnswer: 1.03686449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -56, -5, -4, 6, 5, 0.\nAnswer: -56, -5, -4, 0, 5, 6, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2359 + 5986. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6835327.\nAnswer: 59, 115853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 - 2*f**2 + 2*f + 29018*f**3 - 29019*f**3 + 0*f**2 to the form s*f**3 + x*f**2 + l*f + v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -30\/137, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*l = -157*l - 5*a, l + 3*a = -12. Suppose 6*n + 3*g - 2 = n, 2*n - 3 = g. What is the nearest to -2 in 3\/4, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f - 28*f**2 - 4*f**3 + 0*f**5 + 0*f**4 + 0 - 17\/120*f**6. What is the first derivative of z(t) wrt t?\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -5*t, -15 = -4*t + t + 3*a. Suppose 3*m = 5*p + 27, t*p + 2*p - 9 = -m. Solve -6*q + m*q = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 194 = 78. Let x = 1412 + -1410. Put -3, v, x in increasing order.\nAnswer: v, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24741 divided by -1\nAnswer: -24741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15758 is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.6246662 hours to weeks.\nAnswer: 0.027527775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 60*q**2 - 13*q - 440. Let b be f(120). What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-11) + 2 + (-19)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/29))**(-28\/9)*u**(-42)\/(u*u**12*u) assuming u is positive.\nAnswer: u**(-14560\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*i - 4 + (-2*i + 4*i - i)*(-2 + 1 + 2) - 4*i + 0*i + 3*i in the form j*i + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 28584, -346?\nAnswer: 28584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 5*t + 5. Suppose 28*n - 41*n + 65 = 0. Give m(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(240)*-4 - -1*(sqrt(240) + 1*sqrt(240)))\/(sqrt(320) + -4*2*sqrt(320)).\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhthhhhthrtmt. Give prob of sequence tt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3836 by 1918.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -555?\nAnswer: 4\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - g + 1. Calculate d(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-1269) + (-52)\/756?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 1*sqrt(2835))\/((sqrt(75)\/sqrt(3))\/sqrt(5)) + (sqrt(56)\/(sqrt(8)*-2 - sqrt(8)) - ((sqrt(84) + sqrt(84)*1)\/sqrt(12) + sqrt(7))).\nAnswer: 20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:57 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-136)\/(-14) + 4\/14. Let m = v + -7. Let c(b) = -4*b**2. Let t(y) be the third derivative of -y**5\/20 + 1392*y**2. What is m*t(k) - 2*c(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + v**2 + 2*v + 1. Suppose 0*s - 6 = 6*s. Let m be d(s). Let g be (4 - 2)\/(-1) - -7. Solve 0 = -m*k + k + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*(-171)\/(-333450))\/(1\/5)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8*p**5 + 54*p**4 + 158*p**3 + 36*p**2 = 0.\nAnswer: -2, -1\/4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 86, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/667 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uahcrahc. Give prob of sequence au.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -4) + (-3 - -2). Suppose 5*f + n + 3*n - 56 = b, 0 = 2*f - n - 12. Solve 0 = -2*u + 18 - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2.6, -109, -50\/7, 4, -2\/13 in ascending order.\nAnswer: -109, -50\/7, -2\/13, 1, 2.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 20*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413417 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*o**3)*(6 - 6 - o)*(89 + 93 + 62) in the form v*o + q*o**2 + h*o**4 + s + j*o**3 and give h.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9*x = -4*x. Suppose 4*f - 4*u - u = 239, x = -2*u - 6. Let j = -52 + f. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**2 + 0 - 7\/12*u**4 - u - 25\/6*u**3. Find the second derivative of w(k) wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(8\/3)*f**(-39) assuming f is positive.\nAnswer: f**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5646.\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8150 and 8012265?\nAnswer: 80122650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x + 5*q - 41, -q = -5. What is the common denominator of (2 - 3) + 34\/x and -41\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 384\/54 + (-1)\/9. What is the greatest common factor of v and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -285 - -213. Let v be (o\/2340)\/(132\/10). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.015 + -0.267. Let g = i + 0.082. What is the closest to g in -3, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzriz. What is prob of sequence zrz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*s = -f - 12, -5*f - 2*s - 20 = 0. Let u = f - -6. Factor -4*n**u + 2 - 2*n + 3*n + 0 - 3*n**3.\nAnswer: -(n + 1)**2*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103243023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4150 divided by -2\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/336 - l**7\/84 - l**6\/24 + 41*l**3\/6 + 9*l**2 - 2. Let k(g) be the first derivative of y(g). Factor k(x).\nAnswer: 5*x**2*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 0, w + w + 50 = -4*a. Is (-8315)\/w + 16\/(-136) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443.7426 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33079043 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - (-3 + 63 + (7 - 10)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/5)*t\/(t*t**0))**(2\/195))**27 assuming t is positive.\nAnswer: t**(18\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-16)\/(-56) + 68\/42?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1*(-1)\/4. Suppose -3*b + 4*s + s = -10, 2*s = 3*b + 5. Sort -0.1, b, p in decreasing order.\nAnswer: p, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k**2 + 9*k + 2. Let c be w(-4). Is 0 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d. Let t(f) = -6*f. Let s(u) = -4*q(u) - 5*t(u). Let y(n) = 6*n**2. Give s(y(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*c + 129*c + 24. Let y be (-2)\/(-4) - 26\/(-4). Let h(q) = 6*q + 2*q - y*q. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -13, -17, -27, -43, -65, -93?\n\"Answer: -3*j**2 + 11*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - 12) + (0 - -9) + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*((-18)\/(-20))\/((-6)\/5). Let d be g + -1 - 35\/15. What is the closest to d in -2\/7, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -6\/5 (c) -4 (d) 3\/77 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 11?\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c**2 + 60*c - 126. Calculate p(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/35 - -6\/35. Put 0.1, 0.3, -0.7, g in descending order.\nAnswer: 0.3, g, 0.1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q + 10. Let s be i(8). Let a be -1 - 1\/(10\/s). Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50.1 (b) -78 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -142, -337, -610, -961, -1390?\n\"Answer: -39*z**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 0.2, 1, 2, -3.47, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(171)*2*-2)\/(sqrt(108)\/(1*sqrt(12))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2\/11, -4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*b + 26*b - 20*b)*(0*b**2 - 4*b**3 + 0*b**2) + b**4 - 3*b**4 + b**4.\nAnswer: -213*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}